{
  "status": "pass",
  "checks_total": 2325,
  "scope": "Cutoff-free current action with unchanged complete core two-jet, canonical inertia branch and full linearization at every tested depth. Nonlinear off-core encounters can differ; full particle stability and physical weights remain open.",
  "source_hashes": {
    "experiments/density_polarization_checks.py": "29c7ecae4a3f83fd27fbb6b5d4461b1e2fa832914c65f831128fbf0d8de56273",
    "experiments/density_polarization_binding.py": "1c1db1d9f4281672a096a6d90aaaf9d6204c85a39ceebeacd50bb6606a263b11",
    "experiments/polarization_bound_core.py": "b6428084852d678707e5dbc89ccbba03fb2415850a46d649694759890081e45c",
    "experiments/localized_current_model.py": "bea8db856f55959328e92d99c089ed26db3b35e717533c67a14c9444d5f1a2e4",
    "experiments/clifford_shape_penalty.py": "3b6352b9f363b50724f5484b35539fb9a84c469c0ce481783250eddd07009e85",
    "experiments/regular_polarization_binding.py": "2b7827caae0893c8e876004eb9abaca50aef7a17805f2983b23fc5364d6eb7bb",
    "experiments/regular_holomorphic_binding.py": "14c3a42839e58f683a08092e4615a5ff551f8438300712254c25e7a730fb6cb6"
  },
  "checks": [
    {
      "name": "arbitrary full potential variation",
      "error": 2.0985213566859784e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 0
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.1939876096443795e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 0
    },
    {
      "name": "real Hessian reciprocity",
      "error": 3.3306690738754696e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 0
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 0
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 0
    },
    {
      "name": "complex homogeneous source",
      "error": 2.128689025763826e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 0
    },
    {
      "name": "homogeneous potential",
      "error": 1.226136950252112e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 0
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.4917471532293047e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 0
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 0
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.365708043494124e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 1
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.518434361203503e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 1
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 1
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 1
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 1
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6646708848403878e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 1
    },
    {
      "name": "homogeneous potential",
      "error": 2.0564719045652208e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 1
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.277179861558867e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 1
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 1
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.6562308736165505e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 2
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.449641083309307e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 2
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 2
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 2
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 2
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6509689223718276e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 2
    },
    {
      "name": "homogeneous potential",
      "error": 1.6932841349814203e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 2
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0037665548284522e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 2
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 2
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.678402358379799e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 3
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.788104093285364e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 3
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 3
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 3
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 3
    },
    {
      "name": "complex homogeneous source",
      "error": 2.361494661509599e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 3
    },
    {
      "name": "homogeneous potential",
      "error": 1.3167601323668208e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 3
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.794140138517814e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 3
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 3
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.0721257215351443e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 4
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 8.6322600521432e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 4
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 4
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 4
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 4
    },
    {
      "name": "complex homogeneous source",
      "error": 1.789749265119747e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 4
    },
    {
      "name": "homogeneous potential",
      "error": 1.6993739307824945e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 4
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.546405967260973e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 4
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 4
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.538103061056063e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 5
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.068609198026501e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 5
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 5
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 5
    },
    {
      "name": "degree-two Euler identity",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 5
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7237591751982143e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 5
    },
    {
      "name": "homogeneous potential",
      "error": 4.142525560292247e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 5
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1267205809753271e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 5
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 5
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.936584226314153e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 6
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 8.04400128500663e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 6
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 6
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 6
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 6
    },
    {
      "name": "complex homogeneous source",
      "error": 2.098507568789641e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 6
    },
    {
      "name": "homogeneous potential",
      "error": 1.7134410193245354e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 6
    },
    {
      "name": "physical rotation of complete source",
      "error": 3.020280955818411e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 6
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 6
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.699357569748486e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 7
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.17989862928811e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 7
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.3877787807814457e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 7
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 7
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 7
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6574988054881724e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 7
    },
    {
      "name": "homogeneous potential",
      "error": 2.461135204157618e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 7
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.702085085946711e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 7
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 7
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.894851356520348e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 8
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.8195454502959297e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 8
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 8
    },
    {
      "name": "canonical phase conservation",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 8
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 8
    },
    {
      "name": "complex homogeneous source",
      "error": 1.847851163753937e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 8
    },
    {
      "name": "homogeneous potential",
      "error": 1.3383954069655265e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 8
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.633790513705757e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 8
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 8
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.009681723957328e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 9
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.101650163722086e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 9
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 9
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 9
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 9
    },
    {
      "name": "complex homogeneous source",
      "error": 2.3350481639466646e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 9
    },
    {
      "name": "homogeneous potential",
      "error": 2.8310449833203194e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 9
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7880671190164784e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 9
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 9
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.050049350392328e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 10
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.500476063014857e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 10
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 10
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 10
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 10
    },
    {
      "name": "complex homogeneous source",
      "error": 1.3134222534465005e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 10
    },
    {
      "name": "homogeneous potential",
      "error": 1.932324223519826e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 10
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.281795692165674e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 10
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 10
    },
    {
      "name": "arbitrary full potential variation",
      "error": 9.772430087373607e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 11
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.0286623072456714e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 11
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 11
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 11
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 11
    },
    {
      "name": "complex homogeneous source",
      "error": 2.2970186339375364e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 11
    },
    {
      "name": "homogeneous potential",
      "error": 1.406331367384388e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 11
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2750709412109773e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 11
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 11
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.7777279648356625e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 12
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.904633044348566e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 12
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 12
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 12
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 12
    },
    {
      "name": "complex homogeneous source",
      "error": 2.9844560404799645e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 12
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 12
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.194147339949117e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 12
    },
    {
      "name": "physical rotation of potential",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 12
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.3427037259816643e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 13
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.9736833243615e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 13
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 13
    },
    {
      "name": "canonical phase conservation",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 13
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 13
    },
    {
      "name": "complex homogeneous source",
      "error": 2.1685533764275605e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 13
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 13
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.6854010960465215e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 13
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 13
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.7725602076175164e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 14
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.587369128396078e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 14
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 14
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 14
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 14
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7281658439013599e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 14
    },
    {
      "name": "homogeneous potential",
      "error": 1.4986552663293224e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 14
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2752932324191214e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 14
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 14
    },
    {
      "name": "arbitrary full potential variation",
      "error": 9.16926534699769e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 15
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 8.518716189760981e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 15
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 15
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 15
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 15
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6581606268368658e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 15
    },
    {
      "name": "homogeneous potential",
      "error": 2.2630127708201497e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 15
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9764470598167928e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 15
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 15
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.0005107853316986e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 16
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.908327510750672e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 16
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 16
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 16
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 16
    },
    {
      "name": "complex homogeneous source",
      "error": 1.5911789075567273e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 16
    },
    {
      "name": "homogeneous potential",
      "error": 1.2975043718854895e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 16
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9587284534221483e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 16
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 16
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.068889752379846e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 17
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.214986257680542e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 17
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 17
    },
    {
      "name": "canonical phase conservation",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 17
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 17
    },
    {
      "name": "complex homogeneous source",
      "error": 2.2107475493792704e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 17
    },
    {
      "name": "homogeneous potential",
      "error": 2.184572026599625e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 17
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7568988212988944e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 17
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 17
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.596379345524817e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 18
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.054261879374272e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 18
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 18
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 18
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 18
    },
    {
      "name": "complex homogeneous source",
      "error": 3.357470292409883e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 18
    },
    {
      "name": "homogeneous potential",
      "error": 1.464114125424902e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 18
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.741011516987699e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 18
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 18
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.3205714299857618e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 19
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.067636502321378e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 19
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 19
    },
    {
      "name": "canonical phase conservation",
      "error": 6.938893903907228e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 19
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 19
    },
    {
      "name": "complex homogeneous source",
      "error": 1.4701836781936745e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 19
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 19
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9371866805355283e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 19
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 19
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.1711743514174486e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 20
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.8183339359394985e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 20
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 20
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 20
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 20
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0726083031903183e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 20
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 20
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.604666048707328e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 20
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 20
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.944911229960326e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 21
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.580907086319228e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 21
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.3877787807814457e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 21
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 21
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 21
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7582320113703157e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 21
    },
    {
      "name": "homogeneous potential",
      "error": 1.349773232725537e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 21
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1441497269879735e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 21
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 21
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.0532910361434915e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 22
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.0253044087484226e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 22
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 22
    },
    {
      "name": "canonical phase conservation",
      "error": 1.6653345369377348e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 22
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 22
    },
    {
      "name": "complex homogeneous source",
      "error": 2.37336035636566e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 22
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 22
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9048160758076387e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 22
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 22
    },
    {
      "name": "arbitrary full potential variation",
      "error": 8.986644761677098e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 23
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.431215910025096e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 23
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 23
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 23
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 23
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8217141910466753e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 23
    },
    {
      "name": "homogeneous potential",
      "error": 1.4615266322596634e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 23
    },
    {
      "name": "physical rotation of complete source",
      "error": 3.4084634611955e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 23
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 23
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.3579487534443047e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 24
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.551132465676472e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 24
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 24
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 24
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 24
    },
    {
      "name": "complex homogeneous source",
      "error": 2.020679054972644e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 24
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 24
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1808912183709188e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 24
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 24
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.8027914978376884e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 25
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.2754268602336454e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 25
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 25
    },
    {
      "name": "canonical phase conservation",
      "error": 1.6653345369377348e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 25
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 25
    },
    {
      "name": "complex homogeneous source",
      "error": 2.6436880969999512e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 25
    },
    {
      "name": "homogeneous potential",
      "error": 2.066692827659959e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 25
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.775230780629441e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 25
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 25
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.820699312484521e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 26
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.593866981333783e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 26
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 26
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 26
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 26
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7602406327350127e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 26
    },
    {
      "name": "homogeneous potential",
      "error": 1.724212495768321e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 26
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.178376423038126e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 26
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 26
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.535036235431278e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 27
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.385385274729323e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 27
    },
    {
      "name": "real Hessian reciprocity",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 27
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 27
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 27
    },
    {
      "name": "complex homogeneous source",
      "error": 2.7628102684497136e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 27
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 27
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.6619347494430544e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 27
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 27
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.0424450191948154e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 28
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 8.939361211587949e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 28
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 28
    },
    {
      "name": "canonical phase conservation",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 28
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 28
    },
    {
      "name": "complex homogeneous source",
      "error": 2.1144660884103436e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 28
    },
    {
      "name": "homogeneous potential",
      "error": 3.7243238931448562e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 28
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.851404781809524e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 28
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 28
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.1332935418172383e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 29
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.0313359847330926e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 29
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 29
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 29
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 29
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0871433585610255e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 29
    },
    {
      "name": "homogeneous potential",
      "error": 1.9339413515557626e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 29
    },
    {
      "name": "physical rotation of complete source",
      "error": 3.1355239064722867e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 29
    },
    {
      "name": "physical rotation of potential",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 29
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.8634871423728327e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 30
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.604455585105117e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 30
    },
    {
      "name": "real Hessian reciprocity",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 30
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 30
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 30
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7377402791199185e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 30
    },
    {
      "name": "homogeneous potential",
      "error": 1.9745404551666496e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 30
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.3284386373931207e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 30
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 30
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.080218137161637e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 31
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.020011980073896e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 31
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.6653345369377348e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 31
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 31
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 31
    },
    {
      "name": "complex homogeneous source",
      "error": 2.4502499204743644e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 31
    },
    {
      "name": "homogeneous potential",
      "error": 1.3753571914083886e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 31
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.5935729433028607e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 31
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 31
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.55824838879937e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 32
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.2792942721979073e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 32
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 32
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 32
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 32
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6809718117178883e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 32
    },
    {
      "name": "homogeneous potential",
      "error": 3.8161884255139847e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 32
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.5185434459226407e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 32
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 32
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.963274070566513e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 33
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.83889526895386e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 33
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 33
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 33
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 33
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6399781912338495e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 33
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 33
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.3600944795859597e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 33
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 33
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.178460355497293e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 34
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.35759828078551e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 34
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 34
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 34
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 34
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0216534712036467e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 34
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 34
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.6788036145700894e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 34
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 34
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.2817887296587855e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "sample": 35
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.162505517685481e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 3,
      "sample": 35
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 35
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 35
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 35
    },
    {
      "name": "complex homogeneous source",
      "error": 2.703533293710394e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 35
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "sample": 35
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.707460684552459e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 35
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3,
      "sample": 35
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.177832049118794e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.929933035123449e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.3546743453680896e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.1800997994761958e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 1.3673920197903727e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.5502249237569455e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.2070918063709357e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8891610166510515e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7896096210457566e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 1.481765822640027e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8890692167647298e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7821439328284176e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6026940409972671e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.328791029187237e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 1.640214814240463e-19,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7440786166688545e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.6594604917957e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.59762953708385e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3811244830666968e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 4.1465855531486495e-33,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.108870952348e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.863173888753412e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.069919962805942e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.817201216594785e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.1431661453556615e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.13177900788525e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.416710189173971e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.6392425836699755e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 1.9378992330153695e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.0273039493604157e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7676932990000666e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.770908147605841e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3487526953796052e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 3.675793233216359e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.037502176584916e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.2332208507364691e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.841411650198263e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.127981637779732e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 1.3534132257183159e-20,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.048740749275943e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.3707321529550583e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.90745289796292e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.259270200134596e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 5.442316192505004e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.948339548576995e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.0929791942959084e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.068385306714531e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.801406957972126e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.351504314511986e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.890501075603318e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.3752895645419733e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.4863320020918594e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 1.783230856871264e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.1872817213430466e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.0461832602532908e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.416168011282959e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.993122312893696e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 6.16285576318054e-35,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.0131845270588684e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.9749644805832295e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.7563053336446e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.071053833323446e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 7.682728034467447e-21,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.984969642642668e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.593030202168528e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.898351157365796e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.663046235586609e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4210854715202006e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 1.2427224168114609e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.294416935337347e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.803193320001826e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.379286717756883e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.115839666004297e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.612696468430903e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.939178492295984e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.457763977714718e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.520041812081353e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.9155921152977878e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 1.9155921153008686e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.36308238540664e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.2487775303983707e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.52107759903967e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.79718271793987e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 1.9387682483063586e-22,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.365868449866894e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.93663677275752e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.036335581168378e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.1297373363986456e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 1.724969404730193e-25,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.537387320920311e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.550952041210193e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.394163010409251e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.636660018561422e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 2.2462308617458004e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6588151110502393e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8061449830853948e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.712314041023172e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8207211126197442e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 3,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "stationary Cartesian equation",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "radius": 0.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 5.986846402734066e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 3,
      "radius": 0.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.550788779802543e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 3,
      "radius": 0.0,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.6048521977301865e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "radius": 0.4
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.16622015072446e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 3,
      "radius": 0.4,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.9729545602297317e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 3,
      "radius": 0.4,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.7746237209453698e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "radius": 1.5
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.413281814369779e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 3,
      "radius": 1.5,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 1.9387511370765316e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 3,
      "radius": 1.5,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.17611138089418e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3,
      "radius": 6.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.209183979209296e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 3,
      "radius": 6.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.178431498873783e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 3,
      "radius": 6.0,
      "speed": 0.7
    },
    {
      "name": "unchanged mixed frame-wave coefficient",
      "error": 1.3866953602863e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 3
    },
    {
      "name": "unchanged pure frame Hessian",
      "error": 3.7512334789343004e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 3
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 3,
      "case": 0
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 3,
      "case": 1
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 3.876198291651649e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "case": 1
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 3,
      "case": 2
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 9.624356552830124e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "case": 2
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 3,
      "case": 3
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 6.750777167650914e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 3,
      "case": 3
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.151146176274324e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 0
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.384941448083257e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 0
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 0
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 0
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 0
    },
    {
      "name": "complex homogeneous source",
      "error": 2.2891715987481187e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 0
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 0
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.6653066794091943e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 0
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 0
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.504227711978672e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 1
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.985332812863208e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 1
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 1
    },
    {
      "name": "canonical phase conservation",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 1
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 1
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7049289990276316e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 1
    },
    {
      "name": "homogeneous potential",
      "error": 1.7747595624980958e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 1
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.6619315039177078e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 1
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 1
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.5677349135833083e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 2
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.134969043339416e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 2
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 2
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 2
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 2
    },
    {
      "name": "complex homogeneous source",
      "error": 2.176670480451583e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 2
    },
    {
      "name": "homogeneous potential",
      "error": 1.5704670497809793e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 2
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.4698896445881197e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 2
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 2
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.068767462366395e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 3
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.06929494368354e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 3
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 3
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 3
    },
    {
      "name": "degree-two Euler identity",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 3
    },
    {
      "name": "complex homogeneous source",
      "error": 2.1637349464193134e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 3
    },
    {
      "name": "homogeneous potential",
      "error": 3.5129849564007517e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 3
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.5126571839947076e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 3
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 3
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.6676056209292724e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 4
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.525716014201488e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 4
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 4
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 4
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 4
    },
    {
      "name": "complex homogeneous source",
      "error": 2.017511174976751e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 4
    },
    {
      "name": "homogeneous potential",
      "error": 2.1812099894385145e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 4
    },
    {
      "name": "physical rotation of complete source",
      "error": 3.0428110570589387e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 4
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 4
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.0037620734593133e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 5
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.928725041529702e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 5
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 5
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 5
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 5
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8052671160021255e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 5
    },
    {
      "name": "homogeneous potential",
      "error": 2.7774178883736396e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 5
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1055404842860005e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 5
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 5
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.664235912585582e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 6
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 8.352602534906604e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 6
    },
    {
      "name": "real Hessian reciprocity",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 6
    },
    {
      "name": "canonical phase conservation",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 6
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 6
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9807341184538755e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 6
    },
    {
      "name": "homogeneous potential",
      "error": 1.2419290232195594e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 6
    },
    {
      "name": "physical rotation of complete source",
      "error": 3.1085921981302653e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 6
    },
    {
      "name": "physical rotation of potential",
      "error": 1.7763568394002505e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 6
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.5620063282569845e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 7
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.973896441232664e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 7
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.6653345369377348e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 7
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 7
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 7
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9949063600860876e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 7
    },
    {
      "name": "homogeneous potential",
      "error": 1.7016755403952382e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 7
    },
    {
      "name": "physical rotation of complete source",
      "error": 3.473702230670851e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 7
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 7
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.5540270299525574e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 8
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.217395463238968e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 8
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 8
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 8
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 8
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9533750864133179e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 8
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 8
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.346487761092883e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 8
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 8
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.33466587676412e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 9
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.359908553024702e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 9
    },
    {
      "name": "real Hessian reciprocity",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 9
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 9
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 9
    },
    {
      "name": "complex homogeneous source",
      "error": 1.5566932804349762e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 9
    },
    {
      "name": "homogeneous potential",
      "error": 1.9094385655509728e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 9
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8141586345866307e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 9
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 9
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.253719350557958e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 10
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 8.264888799639368e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 10
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 10
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 10
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 10
    },
    {
      "name": "complex homogeneous source",
      "error": 1.947296675702979e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 10
    },
    {
      "name": "homogeneous potential",
      "error": 1.2292024971721475e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 10
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9948869427903596e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 10
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 10
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.296629718680833e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 11
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.640634630507684e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 11
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 11
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 11
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 11
    },
    {
      "name": "complex homogeneous source",
      "error": 1.818734671309824e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 11
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 11
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.4717085666850607e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 11
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 11
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.852723612889463e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 12
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.633709976875593e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 12
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 12
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 12
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 12
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0812009467352858e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 12
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 12
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.294398159143316e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 12
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 12
    },
    {
      "name": "arbitrary full potential variation",
      "error": 8.536171769435441e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 13
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.625244467176104e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 13
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.6653345369377348e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 13
    },
    {
      "name": "canonical phase conservation",
      "error": 2.0816681711721685e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 13
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 13
    },
    {
      "name": "complex homogeneous source",
      "error": 1.5257453914831153e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 13
    },
    {
      "name": "homogeneous potential",
      "error": 1.3232608301143032e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 13
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.5728429110338974e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 13
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 13
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.605085508948889e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 14
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.1999908088941038e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 14
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 14
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 14
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 14
    },
    {
      "name": "complex homogeneous source",
      "error": 2.413228584983531e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 14
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 14
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2509620142798787e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 14
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 14
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.3570566892440183e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 15
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.681966732419539e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 15
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 15
    },
    {
      "name": "canonical phase conservation",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 15
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 15
    },
    {
      "name": "complex homogeneous source",
      "error": 2.2862559834571355e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 15
    },
    {
      "name": "homogeneous potential",
      "error": 3.704225565063604e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 15
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.4551608051108904e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 15
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 15
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.807643337936042e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 16
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 8.991596944452789e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 16
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 16
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 16
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 16
    },
    {
      "name": "complex homogeneous source",
      "error": 2.764578063979167e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 16
    },
    {
      "name": "homogeneous potential",
      "error": 2.3624897658530694e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 16
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.3663727138826906e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 16
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 16
    },
    {
      "name": "arbitrary full potential variation",
      "error": 8.243405957841787e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 17
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.346115437979023e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 17
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 17
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 17
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 17
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7352250628218843e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 17
    },
    {
      "name": "homogeneous potential",
      "error": 2.6739225440930005e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 17
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9073309144064506e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 17
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 17
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.2274851114475496e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 18
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.087675883845188e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 18
    },
    {
      "name": "real Hessian reciprocity",
      "error": 3.3306690738754696e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 18
    },
    {
      "name": "canonical phase conservation",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 18
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 18
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6542046077067268e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 18
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 18
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.566786976620484e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 18
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 18
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.013428561184696e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 19
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.3118355484016864e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 19
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 19
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 19
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 19
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7291540207658825e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 19
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 19
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.5969218877253404e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 19
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 19
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.9339529977457914e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 20
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.310763188065493e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 20
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 20
    },
    {
      "name": "canonical phase conservation",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 20
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 20
    },
    {
      "name": "complex homogeneous source",
      "error": 3.055612134559282e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 20
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 20
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2341161553646626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 20
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 20
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.94075916132897e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 21
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.200886108228153e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 21
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 21
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 21
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 21
    },
    {
      "name": "complex homogeneous source",
      "error": 2.104997755032207e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 21
    },
    {
      "name": "homogeneous potential",
      "error": 1.924296443155526e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 21
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8627411499653292e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 21
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 21
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.981587282098076e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 22
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.765745563729757e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 22
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 22
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 22
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 22
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7995536780908277e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 22
    },
    {
      "name": "homogeneous potential",
      "error": 1.6229038434078326e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 22
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.6354399714521144e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 22
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 22
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.518385748359833e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 23
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.481390785245538e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 23
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 23
    },
    {
      "name": "canonical phase conservation",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 23
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 23
    },
    {
      "name": "complex homogeneous source",
      "error": 1.677461042687869e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 23
    },
    {
      "name": "homogeneous potential",
      "error": 3.744762694902849e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 23
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7987450458185913e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 23
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 23
    },
    {
      "name": "arbitrary full potential variation",
      "error": 9.025447056387748e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 24
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 8.760171199391709e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 24
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 24
    },
    {
      "name": "canonical phase conservation",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 24
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 24
    },
    {
      "name": "complex homogeneous source",
      "error": 2.893572225840664e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 24
    },
    {
      "name": "homogeneous potential",
      "error": 1.583928408502704e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 24
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1570589994897431e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 24
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 24
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.824696198113543e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 25
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.0369717842692327e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 25
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 25
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 25
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 25
    },
    {
      "name": "complex homogeneous source",
      "error": 2.5472007770323577e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 25
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 25
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.5447471647807548e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 25
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 25
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.4297824035836015e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 26
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.133826696562611e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 26
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 26
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 26
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 26
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0696037990211027e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 26
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 26
    },
    {
      "name": "physical rotation of complete source",
      "error": 3.657085172884723e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 26
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 26
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.212608288398314e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 27
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.086202852535463e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 27
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 27
    },
    {
      "name": "canonical phase conservation",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 27
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 27
    },
    {
      "name": "complex homogeneous source",
      "error": 1.5296342727203409e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 27
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 27
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.761564008412069e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 27
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 27
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.3003376981023393e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 28
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.550443813414721e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 28
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 28
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 28
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 28
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6254657286387543e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 28
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 28
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.981489773137221e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 28
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 28
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.375077829379734e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 29
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.2872894465166782e-10,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 29
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 29
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 29
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 29
    },
    {
      "name": "complex homogeneous source",
      "error": 2.412292197555388e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 29
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 29
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0902123832388346e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 29
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 29
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.7358892101526635e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 30
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 9.12042319372411e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 30
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.220446049250313e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 30
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 30
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 30
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9170740669765767e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 30
    },
    {
      "name": "homogeneous potential",
      "error": 1.7393977153879768e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 30
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8505157194439785e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 30
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 30
    },
    {
      "name": "arbitrary full potential variation",
      "error": 8.852696353756073e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 31
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.881781085400622e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 31
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 31
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 31
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 31
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9285340465461667e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 31
    },
    {
      "name": "homogeneous potential",
      "error": 2.8155723410451004e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 31
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9300891744265474e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 31
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 31
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.091038536240376e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 32
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.082233854781446e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 32
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 32
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 32
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 32
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7398758943048762e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 32
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 32
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.916517970648496e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 32
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 32
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.840505773984205e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 33
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.503740560149332e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 33
    },
    {
      "name": "real Hessian reciprocity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 33
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 33
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 33
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7434501682186235e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 33
    },
    {
      "name": "homogeneous potential",
      "error": 1.663246541357688e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 33
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1280975029509792e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 33
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 33
    },
    {
      "name": "arbitrary full potential variation",
      "error": 8.055106581750238e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 34
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.930216006356668e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 34
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 34
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 34
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 34
    },
    {
      "name": "complex homogeneous source",
      "error": 2.2232300955923095e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 34
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 34
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.5396855724285768e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 34
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 34
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.0142000007060687e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "sample": 35
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.80998304198659e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 4,
      "sample": 35
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 35
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 35
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 35
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8119694366587915e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 35
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "sample": 35
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.444243662704889e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 35
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4,
      "sample": 35
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.188242370744453e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.427952397647304e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.539302910427461e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.73243631569097e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 2.955481153590553e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.72549397680184e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.890418013226974e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.924434009127546e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.4812046822454763e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.1385879678060612e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.406709346670431e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4761428455422744e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.2883168994554536e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 5.636878048450116e-19,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.122374616701977e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5118257349240672e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3097200534289047e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.203215852551769e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 5.637184056103666e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.248848996669561e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7842993856801687e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6018350107198497e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.838790812269437e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.3347728332085526e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.0327997418054727e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.9366580573218076e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.108320888243179e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 9.155259262132736e-18,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.0161582769234613e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.422399870217579e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.0630884767679138e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6984794896659765e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 3.128747267510548e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4865415905114378e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3910537200209836e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.2832329395323338e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.2235356380884052e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4802973661668748e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 1.6728198058317718e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.5354638975083415e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.0957163924153422e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.586415332788521e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.1917686116036483e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4802973661668756e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 1.7218859053790872e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.741985517943055e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7923456910627236e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5549237736952924e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4552723092675678e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.8376674559851824e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.259542111054924e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.6021688792157377e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.1135643710610535e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 7.57570888562721e-18,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.817162395820768e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.6781458304261436e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.544057279432034e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.9289509760247797e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 2.045739405560772e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.605143720612155e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.137696371095784e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.260232318848081e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.6735292677534475e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4210854715202e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 1.293142648508027e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.9185431269682113e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6482498780447467e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.822684316608441e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8192802826477485e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 4.440693328637057e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.046384750516334e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.884943008646704e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.827120418767431e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.338500336901722e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.34462986371975e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.359390682020037e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.878272149294752e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.145775654303397e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 3.7699762733879804e-22,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.083366833405507e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.581829537754859e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.094669715270257e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.1661037149565115e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 1.167987353539302e-22,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.343521795275849e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.546205206506337e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.998109756346712e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.408022046625322e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 2.9623305335359665e-25,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.153747760560828e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.38870359397035e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.549492412677556e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.9224933320110004e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 2.907644786221581e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.1705774011858718e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.927997750032561e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.115483455247507e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.093663324334981e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 4,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "stationary Cartesian equation",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "radius": 0.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.063703634847747e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 4,
      "radius": 0.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 1.5108893681121936e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 4,
      "radius": 0.0,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 5.870344234332207e-17,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "radius": 0.4
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.0404529696206213e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 4,
      "radius": 0.4,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.530896820546431e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 4,
      "radius": 0.4,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 2.5050313348854776e-17,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "radius": 1.5
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 5.306808828684287e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 4,
      "radius": 1.5,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 2.5490076191063706e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 4,
      "radius": 1.5,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.7589646344536906e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4,
      "radius": 6.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.7976116269830225e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 4,
      "radius": 6.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 1.971657603636299e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 4,
      "radius": 6.0,
      "speed": 0.7
    },
    {
      "name": "unchanged mixed frame-wave coefficient",
      "error": 3.662096819267328e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 4
    },
    {
      "name": "unchanged pure frame Hessian",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 4
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 4,
      "case": 0
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 4,
      "case": 1
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 3.301060458325841e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "case": 1
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 4,
      "case": 2
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 8.850336570544407e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "case": 2
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 4,
      "case": 3
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 6.534091989755543e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 4,
      "case": 3
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.0054512777912805e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 0
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.783395108293717e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 0
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 0
    },
    {
      "name": "canonical phase conservation",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 0
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 0
    },
    {
      "name": "complex homogeneous source",
      "error": 2.1148640382724954e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 0
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 0
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0663126878404237e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 0
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 0
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.490751950332218e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 1
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.872009067985262e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 1
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 1
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 1
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 1
    },
    {
      "name": "complex homogeneous source",
      "error": 2.3112946850824516e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 1
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 1
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9735364704004664e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 1
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 1
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.513745181597642e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 2
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.195937189692625e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 2
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 2
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 2
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 2
    },
    {
      "name": "complex homogeneous source",
      "error": 2.1853228515249303e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 2
    },
    {
      "name": "homogeneous potential",
      "error": 1.78225758606515e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 2
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9861401455861847e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 2
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 2
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.87148124459236e-14,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 3
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.245495482655261e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 3
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 3
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 3
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 3
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8560354475256204e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 3
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 3
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8791589675867046e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 3
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 3
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.120703529977618e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 4
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.6877865553801157e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 4
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 4
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 4
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 4
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7448729101416433e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 4
    },
    {
      "name": "homogeneous potential",
      "error": 1.4484124874507125e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 4
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.97686676618991e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 4
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 4
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.623984776827797e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 5
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.335910268767696e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 5
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 5
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 5
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 5
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0278692042795088e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 5
    },
    {
      "name": "homogeneous potential",
      "error": 1.2582397657872782e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 5
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8156759388667124e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 5
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 5
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.559030682329876e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 6
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.0771519503864215e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 6
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 6
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 6
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 6
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9659928373673692e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 6
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 6
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2904303722083733e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 6
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 6
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.459077468903615e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 7
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.5876037334749006e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 7
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 7
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 7
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 7
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7618533161234535e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 7
    },
    {
      "name": "homogeneous potential",
      "error": 1.2841140130146082e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 7
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8961078236063672e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 7
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 7
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.0068614265132965e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 8
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.027124652187386e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 8
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.3877787807814457e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 8
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 8
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 8
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6706933367821673e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 8
    },
    {
      "name": "homogeneous potential",
      "error": 1.5273036701006773e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 8
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2770291222194354e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 8
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 8
    },
    {
      "name": "arbitrary full potential variation",
      "error": 8.370179549466172e-13,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 9
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.199684198080872e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 9
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 9
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 9
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 9
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0294099918809912e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 9
    },
    {
      "name": "homogeneous potential",
      "error": 1.3577830798288596e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 9
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1503213433359725e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 9
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 9
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.92279011893504e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 10
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.970424697357807e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 10
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.3877787807814457e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 10
    },
    {
      "name": "canonical phase conservation",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 10
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 10
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7105229976145972e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 10
    },
    {
      "name": "homogeneous potential",
      "error": 4.2054594707397226e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 10
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8669915465586841e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 10
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 10
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.0606183426252755e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 11
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 2.863353079178085e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 11
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 11
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 11
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 11
    },
    {
      "name": "complex homogeneous source",
      "error": 1.93527501463953e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 11
    },
    {
      "name": "homogeneous potential",
      "error": 3.1663988908313505e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 11
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8151903968555343e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 11
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 11
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.249045477105028e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 12
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.101476347117692e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 12
    },
    {
      "name": "real Hessian reciprocity",
      "error": 4.85722573273506e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 12
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 12
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 12
    },
    {
      "name": "complex homogeneous source",
      "error": 1.5249394512745593e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 12
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 12
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8970181220371425e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 12
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 12
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.8976071542174964e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 13
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.454562981949586e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 13
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 13
    },
    {
      "name": "canonical phase conservation",
      "error": 2.0816681711721685e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 13
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 13
    },
    {
      "name": "complex homogeneous source",
      "error": 2.258164438821305e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 13
    },
    {
      "name": "homogeneous potential",
      "error": 4.1629364168465486e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 13
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.787834754947009e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 13
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 13
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.6251500145614273e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 14
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.257832974173574e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 14
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 14
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 14
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 14
    },
    {
      "name": "complex homogeneous source",
      "error": 1.895530000350604e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 14
    },
    {
      "name": "homogeneous potential",
      "error": 1.3767473915561984e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 14
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0481139259122697e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 14
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 14
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.847144048301331e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 15
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.767376430440133e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 15
    },
    {
      "name": "real Hessian reciprocity",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 15
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 15
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 15
    },
    {
      "name": "complex homogeneous source",
      "error": 1.861416771363753e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 15
    },
    {
      "name": "homogeneous potential",
      "error": 1.807330716845424e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 15
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0091207860981048e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 15
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 15
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.307648433979125e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 16
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.1956858950997174e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 16
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 16
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 16
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 16
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0364293145930556e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 16
    },
    {
      "name": "homogeneous potential",
      "error": 1.5525462474035079e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 16
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9417721177222495e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 16
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 16
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.016681183685364e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 17
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.4334045356534265e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 17
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 17
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 17
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 17
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7506812010852815e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 17
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 17
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0303790938307838e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 17
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 17
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.942451837739668e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 18
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.25583009230413e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 18
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 18
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 18
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 18
    },
    {
      "name": "complex homogeneous source",
      "error": 2.056002875459705e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 18
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 18
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8368455222995245e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 18
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 18
    },
    {
      "name": "arbitrary full potential variation",
      "error": 8.141265439576273e-13,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 19
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.774375817734251e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 19
    },
    {
      "name": "real Hessian reciprocity",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 19
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 19
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 19
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9278577072020922e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 19
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 19
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.222808882872156e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 19
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 19
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.572009437708857e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 20
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.562010612972007e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 20
    },
    {
      "name": "real Hessian reciprocity",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 20
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 20
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 20
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7575936266549968e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 20
    },
    {
      "name": "homogeneous potential",
      "error": 1.4631824310951868e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 20
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7862651139330096e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 20
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 20
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.5022984512522726e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 21
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.54666378552959e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 21
    },
    {
      "name": "real Hessian reciprocity",
      "error": 9.71445146547012e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 21
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 21
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 21
    },
    {
      "name": "complex homogeneous source",
      "error": 1.5692747108686714e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 21
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 21
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1108993985573512e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 21
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 21
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.662437020324205e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 22
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.2210461248545545e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 22
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 22
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 22
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 22
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0791127739080013e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 22
    },
    {
      "name": "homogeneous potential",
      "error": 1.6688992937638004e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 22
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.934437462882636e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 22
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 22
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.025513007846257e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 23
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.174395272227049e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 23
    },
    {
      "name": "real Hessian reciprocity",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 23
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 23
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 23
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7890044441330576e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 23
    },
    {
      "name": "homogeneous potential",
      "error": 1.405435691307434e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 23
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2156054903239896e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 23
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 23
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.6205149161739882e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 24
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.1942844257127656e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 24
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 24
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 24
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 24
    },
    {
      "name": "complex homogeneous source",
      "error": 1.74602395013731e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 24
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 24
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.870512047506939e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 24
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 24
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.3146928818107426e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 25
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.559177455704605e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 25
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 25
    },
    {
      "name": "canonical phase conservation",
      "error": 3.469446951953614e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 25
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 25
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9074933436927247e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 25
    },
    {
      "name": "homogeneous potential",
      "error": 1.732828416631326e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 25
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.120727721677137e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 25
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 25
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.4574036422132508e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 26
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 7.124984281641792e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 26
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 26
    },
    {
      "name": "canonical phase conservation",
      "error": 4.85722573273506e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 26
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 26
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0281687520990978e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 26
    },
    {
      "name": "homogeneous potential",
      "error": 1.5757251974990884e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 26
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.28924832964463e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 26
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 26
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.6214087284491825e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 27
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.9617342257736046e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 27
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 27
    },
    {
      "name": "canonical phase conservation",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 27
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 27
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7986762456330148e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 27
    },
    {
      "name": "homogeneous potential",
      "error": 1.816347487804263e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 27
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.3164188357621385e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 27
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 27
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.1957949347672923e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 28
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.617191737135785e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 28
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 28
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 28
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 28
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7700025402902707e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 28
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 28
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.17626782775909e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 28
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 28
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.710809602987865e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 29
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.030911570163313e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 29
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 29
    },
    {
      "name": "canonical phase conservation",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 29
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 29
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0575274614479873e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 29
    },
    {
      "name": "homogeneous potential",
      "error": 3.2484713909644475e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 29
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.278696906208167e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 29
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 29
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.20503648463e-13,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 30
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.165441473742708e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 30
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 30
    },
    {
      "name": "canonical phase conservation",
      "error": 3.469446951953614e-18,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 30
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 30
    },
    {
      "name": "complex homogeneous source",
      "error": 2.243443255469904e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 30
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 30
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.963769389224911e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 30
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 30
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.0643819159383838e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 31
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.0222120866214327e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 31
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 31
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 31
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 31
    },
    {
      "name": "complex homogeneous source",
      "error": 1.884923853339581e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 31
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 31
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0243989819930657e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 31
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 31
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.8249957101090786e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 32
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.0842857661240474e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 32
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 32
    },
    {
      "name": "canonical phase conservation",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 32
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 32
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7938988510702314e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 32
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 32
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.878428344864789e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 32
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 32
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.741626453113156e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 33
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.241306898040636e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 33
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 33
    },
    {
      "name": "canonical phase conservation",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 33
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 33
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6210111964825203e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 33
    },
    {
      "name": "homogeneous potential",
      "error": 1.705791732992131e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 33
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1268882153274353e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 33
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 33
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.4915625118637763e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 34
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.625710570387319e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 34
    },
    {
      "name": "real Hessian reciprocity",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 34
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 34
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 34
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8378820404788308e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 34
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 34
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.6056715926121306e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 34
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 34
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.9819421237808896e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "sample": 35
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.8061306766103757e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 5,
      "sample": 35
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 35
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 35
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 35
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6992226732937872e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 35
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "sample": 35
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.409277999304907e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 35
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5,
      "sample": 35
    },
    {
      "name": "exact core potential",
      "error": 1.1102230246251568e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 1.1102230246251568e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6181986034685e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6207003220737962e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5337021098047293e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.9850108324830788e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 2.9418075518883145e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.1369213840071446e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.6251701112474883e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.6311794457820657e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.8155110213037943e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 4.9013803475037225e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.349216085251557e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.342759959970102e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4932488829659299e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.2960826320038233e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 8.714239064893235e-19,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.298740207213823e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.229403729728383e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.974270025632421e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.0356125949743302e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.826581272747059e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.764623691536807e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.575840270167729e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.267475259619238e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 2.0649728814671295e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6637962644155416e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6304101568027585e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5811234755417607e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7776236947416385e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 5.659125535962063e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.3010550999466363e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.043543505583736e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.0556339868238775e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.030250840125356e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 3.123154809384752e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.7206373840508e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.506433793279382e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.253621560500677e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.783746778497913e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 1.343900527854966e-19,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.0853199508795584e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.467348373438027e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.5487736912530284e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.287367037030759e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 1.0324864407335648e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.342549768577218e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.663835173279823e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.183129540696563e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.3591129731605473e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4210854715202006e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6572315894750694e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3806535486753124e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6754557190928862e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5480906589637672e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4210854715202004e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 2.0378987567026962e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7935430673487526e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.0954982558751506e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.9408261242253737e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.013819620961863e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 1.5581979276977117e-18,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.938435801643723e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.498130787036921e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.182889751580029e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.967571528745912e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 3.984635604656105e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.4194973378438285e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.426967409792436e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.8286724328464654e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.9580265104092224e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 2.898363655602761e-35,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.02786057809148e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.799742251630713e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.401919985122095e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.094064420173002e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.9155921152977883e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 2.7090563494281803e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.633205978414872e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.709521847793851e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3641447024234134e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4668290858336363e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.9155921152977878e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 1.5883955773731965e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4955700470443133e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6907846950948146e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5826498393046534e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6153837739411313e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 1.2802269786332538e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.243108971650639e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.7419003040339235e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.8253231846840325e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.15222499295595e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 8.509331202263302e-25,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.3946319333792186e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.6501397845309584e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.331311058040266e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.249052883509484e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 7.393791856771208e-35,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.5230229710035007e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.02252809938914e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.364979386080303e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.729580011642765e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 5,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "stationary Cartesian equation",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "radius": 0.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.466767832757618e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 5,
      "radius": 0.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.6020741389365706e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 5,
      "radius": 0.0,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.5655183802254126e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "radius": 0.4
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.3127156497842024e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 5,
      "radius": 0.4,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.7897480379000017e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 5,
      "radius": 0.4,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 7.576997460758082e-17,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "radius": 1.5
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.2273111607198137e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 5,
      "radius": 1.5,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.174022022148259e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 5,
      "radius": 1.5,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 2.5492284160786403e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5,
      "radius": 6.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 5.634000068188157e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 5,
      "radius": 6.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 2.2242007336601906e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 5,
      "radius": 6.0,
      "speed": 0.7
    },
    {
      "name": "unchanged mixed frame-wave coefficient",
      "error": 1.8631859679747637e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 5
    },
    {
      "name": "unchanged pure frame Hessian",
      "error": 5.680424909368659e-18,
      "tolerance": 2e-10,
      "passed": true,
      "d": 5
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 5,
      "case": 0
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 5,
      "case": 1
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 3.198498568983023e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "case": 1
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 5,
      "case": 2
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 8.219549691261769e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "case": 2
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 5,
      "case": 3
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 2.377384860495928e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 5,
      "case": 3
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.1220080420315526e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 0
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.378885534589755e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 0
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 0
    },
    {
      "name": "canonical phase conservation",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 0
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 0
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7043925421112901e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 0
    },
    {
      "name": "homogeneous potential",
      "error": 1.776876708706208e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 0
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8304927297291903e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 0
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 0
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.2666327975938714e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 1
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.253456525266655e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 1
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 1
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 1
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 1
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9222839499639398e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 1
    },
    {
      "name": "homogeneous potential",
      "error": 1.6455759500553689e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 1
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8212015249195156e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 1
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 1
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.2311375797178243e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 2
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.6639697672467764e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 2
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 2
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 2
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 2
    },
    {
      "name": "complex homogeneous source",
      "error": 2.118180539612833e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 2
    },
    {
      "name": "homogeneous potential",
      "error": 1.1872963844896415e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 2
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.5235461751846867e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 2
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 2
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.3599954495902011e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 3
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.4067924278904397e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 3
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 3
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 3
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 3
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8440805717065072e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 3
    },
    {
      "name": "homogeneous potential",
      "error": 3.667068604220932e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 3
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.963112009178047e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 3
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 3
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.1020601098366e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 4
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.867516845301956e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 4
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 4
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 4
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 4
    },
    {
      "name": "complex homogeneous source",
      "error": 1.86017059450434e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 4
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 4
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2941146668057507e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 4
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 4
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.4955371930323054e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 5
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.244179778176974e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 5
    },
    {
      "name": "real Hessian reciprocity",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 5
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 5
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 5
    },
    {
      "name": "complex homogeneous source",
      "error": 2.2029276571195493e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 5
    },
    {
      "name": "homogeneous potential",
      "error": 3.7829357483244676e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 5
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8257635906405281e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 5
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 5
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.2603917909359552e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 6
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.448343844480716e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 6
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 6
    },
    {
      "name": "canonical phase conservation",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 6
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 6
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6502594582359751e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 6
    },
    {
      "name": "homogeneous potential",
      "error": 3.5470092654150847e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 6
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.898135866801031e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 6
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 6
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.8308757681755337e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 7
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.890154576343326e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 7
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 7
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 7
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 7
    },
    {
      "name": "complex homogeneous source",
      "error": 2.1378897184826046e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 7
    },
    {
      "name": "homogeneous potential",
      "error": 2.059783222898944e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 7
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1096731758657395e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 7
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 7
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.613764925665009e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 8
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.9351874165143056e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 8
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 8
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 8
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 8
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7470517781200594e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 8
    },
    {
      "name": "homogeneous potential",
      "error": 1.6453113042598753e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 8
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.3419011617464563e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 8
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 8
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.206052090476419e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 9
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.035718270688239e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 9
    },
    {
      "name": "real Hessian reciprocity",
      "error": 3.469446951953614e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 9
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 9
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 9
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8106259886954398e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 9
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 9
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1070706165363985e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 9
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 9
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.56015823660605e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 10
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.794885025931269e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 10
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 10
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 10
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 10
    },
    {
      "name": "complex homogeneous source",
      "error": 1.674162026833009e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 10
    },
    {
      "name": "homogeneous potential",
      "error": 1.540242008672319e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 10
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2483887121141783e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 10
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 10
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.867650478715177e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 11
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.7507147019877995e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 11
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 11
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 11
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 11
    },
    {
      "name": "complex homogeneous source",
      "error": 1.933338846988518e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 11
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 11
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9340152837273981e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 11
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 11
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.1593004334287116e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 12
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 2.7587040302684133e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 12
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 12
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 12
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 12
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0945021847279412e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 12
    },
    {
      "name": "homogeneous potential",
      "error": 3.689748691761417e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 12
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1632729104437606e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 12
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 12
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.996324187711565e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 13
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.858992321764092e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 13
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 13
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 13
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 13
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0627364110311694e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 13
    },
    {
      "name": "homogeneous potential",
      "error": 2.698508112355705e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 13
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2435744570308e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 13
    },
    {
      "name": "physical rotation of potential",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 13
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.9792667504958672e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 14
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.2947193555964146e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 14
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 14
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 14
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 14
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8609311893235455e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 14
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 14
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8586913044709595e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 14
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 14
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.5097034733457804e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 15
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.97158983997227e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 15
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.6653345369377348e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 15
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 15
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 15
    },
    {
      "name": "complex homogeneous source",
      "error": 1.715215589886448e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 15
    },
    {
      "name": "homogeneous potential",
      "error": 1.8898515026048572e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 15
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1105387099275198e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 15
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 15
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.086508909040276e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 16
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.8323098230335985e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 16
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 16
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 16
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 16
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8329432069958488e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 16
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 16
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9684742208550845e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 16
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 16
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.382222280023939e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 17
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.340755978779903e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 17
    },
    {
      "name": "real Hessian reciprocity",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 17
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 17
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 17
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9154955778645547e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 17
    },
    {
      "name": "homogeneous potential",
      "error": 1.8594169723160268e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 17
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7333363544456435e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 17
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 17
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.2651716320184505e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 18
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.223528901629189e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 18
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 18
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 18
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 18
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0767527860007791e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 18
    },
    {
      "name": "homogeneous potential",
      "error": 1.146719844644587e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 18
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7253159120646868e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 18
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 18
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.2515322939398175e-13,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 19
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.394122813149512e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 19
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 19
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 19
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 19
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8833992348370635e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 19
    },
    {
      "name": "homogeneous potential",
      "error": 2.1276637077010568e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 19
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2625086604154555e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 19
    },
    {
      "name": "physical rotation of potential",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 19
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.0009162649568e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 20
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.84158480801195e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 20
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 20
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 20
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 20
    },
    {
      "name": "complex homogeneous source",
      "error": 2.192821277000291e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 20
    },
    {
      "name": "homogeneous potential",
      "error": 1.5524900693453145e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 20
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.176941724518781e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 20
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 20
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.656169811350196e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 21
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.3503198645919106e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 21
    },
    {
      "name": "real Hessian reciprocity",
      "error": 8.326672684688674e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 21
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 21
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 21
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9081369519936166e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 21
    },
    {
      "name": "homogeneous potential",
      "error": 1.885316068654372e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 21
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8624113058060134e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 21
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 21
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.3463149745903706e-13,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 22
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.626318791140144e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 22
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 22
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 22
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 22
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7947966368889545e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 22
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 22
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.555237268368574e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 22
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 22
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.3423595568440305e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 23
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 6.088191339708619e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 23
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 23
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 23
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 23
    },
    {
      "name": "complex homogeneous source",
      "error": 2.742172995297511e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 23
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 23
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.5261123191297362e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 23
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 23
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.054057007290112e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 24
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.7718875674954326e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 24
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 24
    },
    {
      "name": "canonical phase conservation",
      "error": 6.938893903907228e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 24
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 24
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9485979110454306e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 24
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 24
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.823605258638387e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 24
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 24
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.1853353288369135e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 25
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.98841186337738e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 25
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 25
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 25
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 25
    },
    {
      "name": "complex homogeneous source",
      "error": 2.838783556443879e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 25
    },
    {
      "name": "homogeneous potential",
      "error": 2.3239461378927864e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 25
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7813997377632133e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 25
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 25
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.505806673269717e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 26
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.340270372087018e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 26
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 26
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 26
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 26
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6505375388808882e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 26
    },
    {
      "name": "homogeneous potential",
      "error": 3.695123973178286e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 26
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.17230921659426e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 26
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 26
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.051430801428225e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 27
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.473922420865684e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 27
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 27
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 27
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 27
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6313661727619345e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 27
    },
    {
      "name": "homogeneous potential",
      "error": 1.927833079302104e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 27
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9329327384625788e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 27
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 27
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.7393255158946204e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 28
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.270626331641527e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 28
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 28
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 28
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 28
    },
    {
      "name": "complex homogeneous source",
      "error": 1.992362156884719e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 28
    },
    {
      "name": "homogeneous potential",
      "error": 4.630690905448592e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 28
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.6829100918359415e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 28
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 28
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.0473011347045258e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 29
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.579144576251894e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 29
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 29
    },
    {
      "name": "canonical phase conservation",
      "error": 4.5102810375396984e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 29
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 29
    },
    {
      "name": "complex homogeneous source",
      "error": 2.3138824910826317e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 29
    },
    {
      "name": "homogeneous potential",
      "error": 1.2732808208005965e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 29
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.377169529984525e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 29
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 29
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.316657976564329e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 30
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.686298275841253e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 30
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 30
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 30
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 30
    },
    {
      "name": "complex homogeneous source",
      "error": 2.455257782394867e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 30
    },
    {
      "name": "homogeneous potential",
      "error": 1.584013893312797e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 30
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.418931867329091e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 30
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 30
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.112604866714832e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 31
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.1184774956213786e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 31
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 31
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 31
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 31
    },
    {
      "name": "complex homogeneous source",
      "error": 2.294961661880449e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 31
    },
    {
      "name": "homogeneous potential",
      "error": 3.54564065713451e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 31
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8158596775136914e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 31
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 31
    },
    {
      "name": "arbitrary full potential variation",
      "error": 8.22142354195421e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 32
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.651835667371242e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 32
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 32
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 32
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 32
    },
    {
      "name": "complex homogeneous source",
      "error": 1.962089474202173e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 32
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 32
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0466275361166072e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 32
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 32
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.590394979217763e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 33
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 4.136304759449337e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 33
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 33
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 33
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 33
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8635874066176362e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 33
    },
    {
      "name": "homogeneous potential",
      "error": 2.370439650275237e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 33
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0640786296342822e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 33
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 33
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.616706669735571e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 34
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 3.8480732576043204e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 34
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 34
    },
    {
      "name": "canonical phase conservation",
      "error": 1.1102230246251565e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 34
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 34
    },
    {
      "name": "complex homogeneous source",
      "error": 1.774372308735647e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 34
    },
    {
      "name": "homogeneous potential",
      "error": 3.3482786411460426e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 34
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9492556019804864e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 34
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 34
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.457156865811385e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "sample": 35
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 5.522519083444964e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 6,
      "sample": 35
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.0816681711721685e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 35
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 35
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 35
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0303577507876294e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 35
    },
    {
      "name": "homogeneous potential",
      "error": 2.2711705157899485e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "sample": 35
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9345514055363689e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 35
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6,
      "sample": 35
    },
    {
      "name": "exact core potential",
      "error": 1.1102230246251568e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 1.1102230246251568e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6147608889800636e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3895741785948213e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4759496304752466e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4671917163883617e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 7.806255641895632e-18,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.675778524377869e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6581645162341014e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5178764187927923e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8155070012785363e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 9.047057600604209e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6241494774830808e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7835144575790824e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7533201664653907e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5763119120653952e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 4.807882878387139e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.89454725222489e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.133092926905142e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.479114139697133e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.002019025605351e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.778450847235393e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.4286892812001895e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.622203841056849e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.293696511366721e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 2.0649728814671295e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6180147847236764e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3217805633331802e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5266258574372152e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8226073598172124e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 9.431536953560934e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.897545516604731e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.9880071113536445e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7540239013436578e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7946005811847684e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.480297366166875e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 2.1064246569400333e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.503944872695489e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.362035770424392e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.353538620925136e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.126424731330634e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 2.0039832642455966e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.177324368758702e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.3984297343276164e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.4145359689885934e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.41728140119891e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4802973661668753e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 1.8033909720250544e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7158644575829693e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.790508062384781e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7323940079015648e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6695115255560636e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4210854715202006e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5813808167994851e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3795169687929268e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5343297284574683e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7980840272121072e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 1.237038742496589e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.2130789740983182e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.273017060203213e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.2064936243202103e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.2048870510021772e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 2.258787674904126e-18,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.6168188162712847e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.521302573119856e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.31637469066493e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.439656700633235e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 6.228649666218037e-21,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.6266783232847444e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.755794713236296e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.2497601291916975e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.3935718875293756e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4210854715202006e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 1.3113141572102073e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7800575580198827e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5493960503779675e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4145199322620407e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6496255003775718e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.9155921152977883e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 2.7090563494281803e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.578032282241799e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5146397232170962e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3938216220837165e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.5810843462596277e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.9155921152977878e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 2.0099592955029466e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.6302857036979326e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8078417034492703e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.832984414295678e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.7662640427171316e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 1.9697542609869114e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.0852195884176106e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.0596768378215066e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 5.746151713737352e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.7900966505981547e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 4.232900545981575e-18,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.777853541267637e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.165371488513005e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.225281429972764e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.5346613846727874e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 2.674601184449841e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.7123092335296527e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.6712296717540513e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.794729806073951e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.4861620756860834e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 6,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.8503717077085944e-17,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "radius": 0.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.033135171349554e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 6,
      "radius": 0.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.2909399935066542e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 6,
      "radius": 0.0,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.6204653613566674e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "radius": 0.4
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 7.366820147251643e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 6,
      "radius": 0.4,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 2.3207988221632477e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 6,
      "radius": 0.4,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.074227489788334e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "radius": 1.5
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.3601189139341897e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 6,
      "radius": 1.5,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 1.8704147748574798e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 6,
      "radius": 1.5,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 2.1835136185384148e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6,
      "radius": 6.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 5.239531860315718e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 6,
      "radius": 6.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 2.312695083578777e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 6,
      "radius": 6.0,
      "speed": 0.7
    },
    {
      "name": "unchanged mixed frame-wave coefficient",
      "error": 1.766162445011487e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 6
    },
    {
      "name": "unchanged pure frame Hessian",
      "error": 1.5041070903825948e-15,
      "tolerance": 2e-10,
      "passed": true,
      "d": 6
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 6,
      "case": 0
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 6,
      "case": 1
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 4.701401132844605e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "case": 1
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 6,
      "case": 2
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 9.732176922597564e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "case": 2
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 6,
      "case": 3
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 2.4470323575001296e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 6,
      "case": 3
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.110706831011001e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 0
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.697809990021566e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 0
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 0
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 0
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 0
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7262364951894845e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 0
    },
    {
      "name": "homogeneous potential",
      "error": 1.152979331976088e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 0
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0180673880796746e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 0
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 0
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.7374782168566583e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 1
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.5074670223205596e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 1
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 1
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 1
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 1
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8513384398265178e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 1
    },
    {
      "name": "homogeneous potential",
      "error": 4.473310614563347e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 1
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.2221153785466347e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 1
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 1
    },
    {
      "name": "arbitrary full potential variation",
      "error": 3.3844309299535524e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 2
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.9136980966811575e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 2
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.0408340855860843e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 2
    },
    {
      "name": "canonical phase conservation",
      "error": 3.469446951953614e-18,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 2
    },
    {
      "name": "degree-two Euler identity",
      "error": 1.7763568394002505e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 2
    },
    {
      "name": "complex homogeneous source",
      "error": 1.723979053069849e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 2
    },
    {
      "name": "homogeneous potential",
      "error": 6.189879754103062e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 2
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8225890214889276e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 2
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 2
    },
    {
      "name": "arbitrary full potential variation",
      "error": 7.260507473016986e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 3
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.3210622098849764e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 3
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.0816681711721685e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 3
    },
    {
      "name": "canonical phase conservation",
      "error": 4.5102810375396984e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 3
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 3
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7086744986800204e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 3
    },
    {
      "name": "homogeneous potential",
      "error": 1.4375809197049538e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 3
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7261930840783085e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 3
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 3
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.1190662979609911e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 4
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.5942966045637233e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 4
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 4
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 4
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 4
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0797849662114124e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 4
    },
    {
      "name": "homogeneous potential",
      "error": 3.383196993834862e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 4
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8083028663262268e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 4
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 4
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.404043961794059e-13,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 5
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.8183963719328015e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 5
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.42861286636753e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 5
    },
    {
      "name": "canonical phase conservation",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 5
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 5
    },
    {
      "name": "complex homogeneous source",
      "error": 1.777003619539742e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 5
    },
    {
      "name": "homogeneous potential",
      "error": 4.444023626096768e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 5
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7059574069053312e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 5
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 5
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.1204025207600665e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 6
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.4463927724250427e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 6
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.245004513516506e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 6
    },
    {
      "name": "canonical phase conservation",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 6
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 6
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0224059347389082e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 6
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 6
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.0023064396371784e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 6
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 6
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.1075668160387409e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 7
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.465011803393456e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 7
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 7
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 7
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 7
    },
    {
      "name": "complex homogeneous source",
      "error": 1.661457585338354e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 7
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 7
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7098605949414845e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 7
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 7
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.466994912328715e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 8
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.7413725271837524e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 8
    },
    {
      "name": "real Hessian reciprocity",
      "error": 9.71445146547012e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 8
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 8
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 8
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7823699576011808e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 8
    },
    {
      "name": "homogeneous potential",
      "error": 1.7558167487649333e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 8
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.027594094276996e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 8
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 8
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.603378872010012e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 9
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.492214736755985e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 9
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 9
    },
    {
      "name": "canonical phase conservation",
      "error": 2.42861286636753e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 9
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 9
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6517768509737867e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 9
    },
    {
      "name": "homogeneous potential",
      "error": 2.7552505772999783e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 9
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.82275310339176e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 9
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 9
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.098529600618292e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 10
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.782405304327581e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 10
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.0408340855860843e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 10
    },
    {
      "name": "canonical phase conservation",
      "error": 4.336808689942018e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 10
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 10
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8733398761458148e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 10
    },
    {
      "name": "homogeneous potential",
      "error": 2.7153688816513674e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 10
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9203775264119185e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 10
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 10
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.8259900536055085e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 11
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.653970781016924e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 11
    },
    {
      "name": "real Hessian reciprocity",
      "error": 3.469446951953614e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 11
    },
    {
      "name": "canonical phase conservation",
      "error": 3.8163916471489756e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 11
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 11
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9089532211291932e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 11
    },
    {
      "name": "homogeneous potential",
      "error": 2.0568672321658956e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 11
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.685273568729301e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 11
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 11
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.3137269050389477e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 12
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.4593309659611064e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 12
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 12
    },
    {
      "name": "canonical phase conservation",
      "error": 1.9081958235744878e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 12
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 12
    },
    {
      "name": "complex homogeneous source",
      "error": 1.5959781417414346e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 12
    },
    {
      "name": "homogeneous potential",
      "error": 1.1369091273521336e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 12
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8959570904267582e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 12
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 12
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.18964775267461e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 13
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.567739441283349e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 13
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 13
    },
    {
      "name": "canonical phase conservation",
      "error": 5.204170427930421e-18,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 13
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 13
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9486187486928292e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 13
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 13
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7516911132441372e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 13
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 13
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.957849061848485e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 14
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.3867925396281133e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 14
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.0816681711721685e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 14
    },
    {
      "name": "canonical phase conservation",
      "error": 2.42861286636753e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 14
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 14
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6494923200622246e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 14
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 14
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8273724725031104e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 14
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 14
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.1554539403334516e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 15
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.3132498074977187e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 15
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 15
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 15
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 15
    },
    {
      "name": "complex homogeneous source",
      "error": 1.760161639086985e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 15
    },
    {
      "name": "homogeneous potential",
      "error": 2.417834521951244e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 15
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8472587291908482e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 15
    },
    {
      "name": "physical rotation of potential",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 15
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.332656621310662e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 16
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.769050403831406e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 16
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.898059818321144e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 16
    },
    {
      "name": "canonical phase conservation",
      "error": 9.020562075079397e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 16
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 16
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7453697302223672e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 16
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 16
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.806755163954369e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 16
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 16
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.5328155411609146e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 17
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.4394841253870137e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 17
    },
    {
      "name": "real Hessian reciprocity",
      "error": 7.632783294297951e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 17
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 17
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 17
    },
    {
      "name": "complex homogeneous source",
      "error": 1.9425370406037375e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 17
    },
    {
      "name": "homogeneous potential",
      "error": 1.669842716402008e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 17
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.74817279257925e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 17
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 17
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.70076424902355e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 18
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.3881904564606999e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 18
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 18
    },
    {
      "name": "canonical phase conservation",
      "error": 4.5102810375396984e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 18
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 18
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7974732330112814e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 18
    },
    {
      "name": "homogeneous potential",
      "error": 1.4081912351928402e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 18
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7585459985369475e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 18
    },
    {
      "name": "physical rotation of potential",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 18
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.842776345550305e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 19
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.7480595777393728e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 19
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 19
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 19
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 19
    },
    {
      "name": "complex homogeneous source",
      "error": 1.670864416682149e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 19
    },
    {
      "name": "homogeneous potential",
      "error": 1.327137722095839e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 19
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.843918257306455e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 19
    },
    {
      "name": "physical rotation of potential",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 19
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.977012997755878e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 20
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.74980717579097e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 20
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.42861286636753e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 20
    },
    {
      "name": "canonical phase conservation",
      "error": 6.938893903907228e-18,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 20
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 20
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8163153510679754e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 20
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 20
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.992176920974821e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 20
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 20
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.9543783258413328e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 21
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.5133143161552124e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 21
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 21
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 21
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 21
    },
    {
      "name": "complex homogeneous source",
      "error": 1.594840423793587e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 21
    },
    {
      "name": "homogeneous potential",
      "error": 1.1982177669565296e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 21
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.6835240023404746e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 21
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 21
    },
    {
      "name": "arbitrary full potential variation",
      "error": 4.224065541791333e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 22
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.7599561072271062e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 22
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 22
    },
    {
      "name": "canonical phase conservation",
      "error": 6.938893903907228e-18,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 22
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 22
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8771888359964333e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 22
    },
    {
      "name": "homogeneous potential",
      "error": 2.1101441204841277e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 22
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8591617328966004e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 22
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 22
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.2052208189783364e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 23
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.3561233201550158e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 23
    },
    {
      "name": "real Hessian reciprocity",
      "error": 4.85722573273506e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 23
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 23
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 23
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6886662033446047e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 23
    },
    {
      "name": "homogeneous potential",
      "error": 1.9800712058662247e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 23
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8320854117238594e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 23
    },
    {
      "name": "physical rotation of potential",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 23
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.417053693974495e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 24
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.3885556227471321e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 24
    },
    {
      "name": "real Hessian reciprocity",
      "error": 5.551115123125783e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 24
    },
    {
      "name": "canonical phase conservation",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 24
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 24
    },
    {
      "name": "complex homogeneous source",
      "error": 1.995470450972815e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 24
    },
    {
      "name": "homogeneous potential",
      "error": 4.463273074316468e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 24
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8549666654903904e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 24
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 24
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.689412498784293e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 25
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.6629731915490907e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 25
    },
    {
      "name": "real Hessian reciprocity",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 25
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 25
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 25
    },
    {
      "name": "complex homogeneous source",
      "error": 2.0877359266339603e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 25
    },
    {
      "name": "homogeneous potential",
      "error": 2.689701271024203e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 25
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7156573882708105e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 25
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 25
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.7594204698999647e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 26
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.5128693423771376e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 26
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-18,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 26
    },
    {
      "name": "canonical phase conservation",
      "error": 3.8163916471489756e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 26
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 26
    },
    {
      "name": "complex homogeneous source",
      "error": 2.1430104126958607e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 26
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 26
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7666907611583708e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 26
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 26
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.7923048302210844e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 27
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.2764143363229992e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 27
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-18,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 27
    },
    {
      "name": "canonical phase conservation",
      "error": 4.163336342344337e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 27
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 27
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6791816281869696e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 27
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 27
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7651441129101747e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 27
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 27
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.072508831219011e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 28
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.5043928402567304e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 28
    },
    {
      "name": "real Hessian reciprocity",
      "error": 9.71445146547012e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 28
    },
    {
      "name": "canonical phase conservation",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 28
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 28
    },
    {
      "name": "complex homogeneous source",
      "error": 1.7897028957008572e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 28
    },
    {
      "name": "homogeneous potential",
      "error": 1.6857616326545357e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 28
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7755180147712591e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 28
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 28
    },
    {
      "name": "arbitrary full potential variation",
      "error": 9.181487514720033e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 29
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.5070949309895495e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 29
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.0408340855860843e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 29
    },
    {
      "name": "canonical phase conservation",
      "error": 1.0408340855860843e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 29
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 29
    },
    {
      "name": "complex homogeneous source",
      "error": 1.851323434740503e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 29
    },
    {
      "name": "homogeneous potential",
      "error": 1.5551477482714262e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 29
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7972177941355352e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 29
    },
    {
      "name": "physical rotation of potential",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 29
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.862742318869408e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 30
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.626624247902451e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 30
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.3877787807814457e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 30
    },
    {
      "name": "canonical phase conservation",
      "error": 1.0408340855860843e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 30
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 30
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8228307058276186e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 30
    },
    {
      "name": "homogeneous potential",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 30
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9102390128467996e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 30
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 30
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.7804234381535315e-12,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 31
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.5215479107449238e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 31
    },
    {
      "name": "real Hessian reciprocity",
      "error": 6.938893903907228e-18,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 31
    },
    {
      "name": "canonical phase conservation",
      "error": 6.938893903907228e-18,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 31
    },
    {
      "name": "degree-two Euler identity",
      "error": 8.881784197001252e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 31
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6509602863687253e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 31
    },
    {
      "name": "homogeneous potential",
      "error": 1.1513042687816137e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 31
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.9589442037225166e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 31
    },
    {
      "name": "physical rotation of potential",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 31
    },
    {
      "name": "arbitrary full potential variation",
      "error": 1.1664891275131595e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 32
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.734897977948269e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 32
    },
    {
      "name": "real Hessian reciprocity",
      "error": 7.45931094670027e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 32
    },
    {
      "name": "canonical phase conservation",
      "error": 4.85722573273506e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 32
    },
    {
      "name": "degree-two Euler identity",
      "error": 1.3322676295501878e-15,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 32
    },
    {
      "name": "complex homogeneous source",
      "error": 1.785063973397293e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 32
    },
    {
      "name": "homogeneous potential",
      "error": 2.166051162780031e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 32
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7942252567579823e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 32
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 32
    },
    {
      "name": "arbitrary full potential variation",
      "error": 2.379363372995158e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 33
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.2581885915486823e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 33
    },
    {
      "name": "real Hessian reciprocity",
      "error": 2.42861286636753e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 33
    },
    {
      "name": "canonical phase conservation",
      "error": 2.7755575615628914e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 33
    },
    {
      "name": "degree-two Euler identity",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 33
    },
    {
      "name": "complex homogeneous source",
      "error": 1.726682085756128e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 33
    },
    {
      "name": "homogeneous potential",
      "error": 3.097264321795381e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 33
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.7723572477393778e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 33
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 33
    },
    {
      "name": "arbitrary full potential variation",
      "error": 5.555927939937533e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 34
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.380538573169478e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 34
    },
    {
      "name": "real Hessian reciprocity",
      "error": 1.734723475976807e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 34
    },
    {
      "name": "canonical phase conservation",
      "error": 3.469446951953614e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 34
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 34
    },
    {
      "name": "complex homogeneous source",
      "error": 1.8907576582853204e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 34
    },
    {
      "name": "homogeneous potential",
      "error": 2.1437949585262962e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 34
    },
    {
      "name": "physical rotation of complete source",
      "error": 2.1320500635191726e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 34
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 34
    },
    {
      "name": "arbitrary full potential variation",
      "error": 6.758399395678794e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "sample": 35
    },
    {
      "name": "arbitrary full analytic source derivative",
      "error": 1.7242934007775337e-11,
      "tolerance": 2e-08,
      "passed": true,
      "d": 10,
      "sample": 35
    },
    {
      "name": "real Hessian reciprocity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 35
    },
    {
      "name": "canonical phase conservation",
      "error": 3.469446951953614e-17,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 35
    },
    {
      "name": "degree-two Euler identity",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 35
    },
    {
      "name": "complex homogeneous source",
      "error": 1.6807820217093435e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 35
    },
    {
      "name": "homogeneous potential",
      "error": 1.6613403108330106e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "sample": 35
    },
    {
      "name": "physical rotation of complete source",
      "error": 1.8715559527387897e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 35
    },
    {
      "name": "physical rotation of potential",
      "error": 0.0,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10,
      "sample": 35
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 2.2204460492503136e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.462729028122455e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.4548289180937256e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.509302329428788e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.526427348034991e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 1.9885088965195455e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.9484705273507137e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.030359358057802e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.9503242083714828e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.9352436504973392e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 6.695042333363975e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.0370777331371712e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.0389532750401528e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.0450619221680474e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.0124135848891122e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 4.221333729171827e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.656433492422828e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.105498380993965e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.266295191428996e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.069796138435072e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 1.3985787785349405e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 7.670908580970972e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.798391049899565e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.582712439687842e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 6.764775914568014e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 5.162432203667824e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.37008202357075e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.4170586532728741e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.417573212577202e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.3667113949425247e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 1.1311375297888262e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8467828961680432e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.882006433251033e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.8584816260859308e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.900297958347532e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 5.0436820564837836e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.68704845177081e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.0155158869191142e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 1.0460953573925862e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.595097946045985e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 8.423749274532512e-35,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.7000867879621174e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.6519352925564185e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.816695780422166e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.6281219555238616e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 9.887920018844334e-35,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.3861258645709647e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.442110411255932e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.4596540228717255e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.3431848767110246e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 6.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 3.1400279198963948e-18,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.262343408862333e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.951918579715088e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.905297510543526e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.007421514192252e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 4.869397056358409e-18,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.293956277481413e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.98551595284472e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.17098047893579e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.80429956838686e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.4210854715202e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 1.5188733638073757e-18,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.371735298877466e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.369449000428098e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.312257769157749e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 4.427018165742284e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 5.330644524780525e-21,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.955668807277743e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.2720802304992736e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.2584978398623635e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.3663710666881955e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 1.762215893116988e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.3449718670369425e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.365113868795854e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.403962433417583e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.3812576299562786e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 100.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 1.9155921152977878e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "exact full core source",
      "error": 2.583557462146931e-22,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 8.519297912613836e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.479690548684382e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.157886846348304e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 9.131803969769166e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.0,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "exact full core source",
      "error": 9.43023139541556e-36,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.0656807561043737e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.161846327055256e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.4251676091812067e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 3.0176133990287005e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.2,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "exact full core source",
      "error": 1.0199620948697413e-22,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.7
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.5029836390540914e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.4529518009645165e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.510100194177713e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.464102410653932e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.7,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "exact full core source",
      "error": 3.4905392107633066e-17,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.99
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.3184571125781622e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.2898227789719537e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.246337866503533e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.2548622518634914e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 0.99,
      "sample": 3
    },
    {
      "name": "exact core potential",
      "error": 0.0,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "exact full core source",
      "error": 1.8516739367344992e-34,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 1.0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.498209723163103e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 0
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.444728242584046e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 1
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.474617350130404e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 2
    },
    {
      "name": "identical complete core Hessian",
      "error": 2.481687418921842e-16,
      "tolerance": 2e-12,
      "passed": true,
      "d": 10,
      "omega": 1215450.0,
      "ratio": 1.0,
      "sample": 3
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.8503717077085944e-17,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "radius": 0.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 5.7374413779041685e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 10,
      "radius": 0.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 1.9594534338906065e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 10,
      "radius": 0.0,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 4.1477849012898876e-17,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "radius": 0.4
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 4.52610816287604e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 10,
      "radius": 0.4,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 3.2373699195933486e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 10,
      "radius": 0.4,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 1.0473736159204809e-16,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "radius": 1.5
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 5.112882451177319e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 10,
      "radius": 1.5,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 1.992719636880959e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 10,
      "radius": 1.5,
      "speed": 0.7
    },
    {
      "name": "stationary Cartesian equation",
      "error": 6.630814616524021e-17,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10,
      "radius": 6.0
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 5.268450419976617e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 10,
      "radius": 6.0,
      "speed": 0.15
    },
    {
      "name": "complete uniformly boosted equation",
      "error": 2.4404631866729253e-16,
      "tolerance": 2e-09,
      "passed": true,
      "d": 10,
      "radius": 6.0,
      "speed": 0.7
    },
    {
      "name": "unchanged mixed frame-wave coefficient",
      "error": 4.509453547780575e-16,
      "tolerance": 2e-11,
      "passed": true,
      "d": 10
    },
    {
      "name": "unchanged pure frame Hessian",
      "error": 1.7260416302854785e-14,
      "tolerance": 2e-10,
      "passed": true,
      "d": 10
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 10,
      "case": 0
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 10,
      "case": 1
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 1.4704885780939494e-10,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "case": 1
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 10,
      "case": 2
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 9.741039336125181e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "case": 2
    },
    {
      "name": "defined at zero-current domains",
      "error": 0.0,
      "tolerance": 0,
      "passed": true,
      "d": 10,
      "case": 3
    },
    {
      "name": "smooth nonzero null-current fields",
      "error": 1.1329381925341584e-11,
      "tolerance": 2e-07,
      "passed": true,
      "d": 10,
      "case": 3
    }
  ],
  "records": [
    {
      "depth": 3,
      "rank": 4,
      "checks_so_far": 465
    },
    {
      "depth": 4,
      "rank": 4,
      "checks_so_far": 930
    },
    {
      "depth": 5,
      "rank": 8,
      "checks_so_far": 1395
    },
    {
      "depth": 6,
      "rank": 8,
      "checks_so_far": 1860
    },
    {
      "depth": 10,
      "rank": 32,
      "checks_so_far": 2325
    }
  ]
}