{
  "schema_version": 1,
  "environment": {
    "python": "3.9.6",
    "numpy": "2.0.2",
    "arithmetic": "binary64; exact Fraction and fifth-cyclotomic checks"
  },
  "inputs": {
    "sites": 5,
    "down_spins": 2,
    "algebraic_rapidities": [
      0.5,
      -0.5
    ],
    "coupling_J": 1.0,
    "hbar": 1.0,
    "lattice_spacing": 1.0,
    "local_site": 1,
    "momentum_mode_numbers": [
      0,
      1,
      2,
      3,
      4
    ],
    "dimensionless_time_grid": {
      "start": 0.0,
      "stop": 12.0,
      "points": 121
    },
    "rescale_initial_ket_real_imag": [
      3.0,
      4.0
    ],
    "final_ket_phase_angle": 0.7,
    "equation_tolerance": 2e-12,
    "negative_control_minimum": 0.01,
    "saved_comparison": {
      "absolute_tolerance": 2e-12,
      "relative_tolerance": 1e-09
    }
  },
  "dependency": "../xxx-algebra/experiment.py",
  "two_down_spin_basis": [
    [
      1,
      2
    ],
    [
      1,
      3
    ],
    [
      1,
      4
    ],
    [
      1,
      5
    ],
    [
      2,
      3
    ],
    [
      2,
      4
    ],
    [
      2,
      5
    ],
    [
      3,
      4
    ],
    [
      3,
      5
    ],
    [
      4,
      5
    ]
  ],
  "one_down_spin_basis": [
    [
      1
    ],
    [
      2
    ],
    [
      3
    ],
    [
      4
    ],
    [
      5
    ]
  ],
  "state": {
    "raw_B_norm_squared": 0.15625000000000003,
    "energy_over_J": 2.0,
    "normalized_coefficients_real_imag": [
      [
        -0.31622776601683794,
        0.0
      ],
      [
        0.31622776601683794,
        0.0
      ],
      [
        0.31622776601683794,
        0.0
      ],
      [
        -0.31622776601683794,
        0.0
      ],
      [
        -0.31622776601683794,
        0.0
      ],
      [
        0.31622776601683794,
        0.0
      ],
      [
        0.31622776601683794,
        0.0
      ],
      [
        -0.31622776601683794,
        0.0
      ],
      [
        0.31622776601683794,
        0.0
      ],
      [
        -0.31622776601683794,
        0.0
      ]
    ],
    "site_raising_norm_squared": [
      0.4,
      0.4,
      0.4,
      0.4,
      0.4
    ]
  },
  "exact_checks": {
    "raw_B_norm_squared": "5/32",
    "local_equal_time_weight": "2/5",
    "local_first_frequency_moment_over_J": "-3/10",
    "fourier_operator_weights": [
      "0",
      "1/2",
      "1/2",
      "1/2",
      "1/2"
    ],
    "exact_bond_eigenstate_equation": true,
    "exact_five_mode_Fourier_completeness": true,
    "exact_cyclotomic_weight_checks": true
  },
  "equation_errors": {
    "raw_B_relative_coefficient_error": 0.0,
    "raw_B_outside_two_spin_sector_norm": 0.0,
    "normalized_state_relative_error": 0.0,
    "H_eigenvector_residual_over_J": 0.0,
    "active_translation_residual": 0.0,
    "Fourier_orthonormality_frobenius_error": 4.712313435543135e-16,
    "Fourier_completeness_frobenius_error": 4.640655496579229e-16,
    "one_magnon_H_equations_frobenius_error": 4.213693705310271e-16,
    "one_magnon_U_equations_frobenius_error": 6.30972403147454e-16,
    "local_weight_formula_max_error": 4.163336342344337e-17,
    "m0_form_factor_absolute_error": 5.996316712426038e-19,
    "m0_orthogonal_projection_norm": 2.2436162720484923e-18,
    "m0_translation_absolute_residual": 3.28431792534096e-18,
    "m1_form_factor_absolute_error": 5.295304049886797e-16,
    "m1_orthogonal_projection_norm": 1.9709940474893286e-16,
    "m1_translation_absolute_residual": 1.7183016208768387e-16,
    "m1_wrong_sign_residual_formula_error": 0.0,
    "m1_wrong_sign_preserves_weight_error": 0.0,
    "m1_wrong_sign_preserves_energy_residual": 1.1760936782687822e-16,
    "m2_form_factor_absolute_error": 6.052338934183923e-16,
    "m2_orthogonal_projection_norm": 1.687136724298219e-16,
    "m2_translation_absolute_residual": 1.4311459014152042e-16,
    "m2_wrong_sign_residual_formula_error": 2.220446049250313e-16,
    "m2_wrong_sign_preserves_weight_error": 0.0,
    "m2_wrong_sign_preserves_energy_residual": 2.7806288878169766e-16,
    "m3_form_factor_absolute_error": 5.703354280257752e-16,
    "m3_orthogonal_projection_norm": 1.8563052192660043e-16,
    "m3_translation_absolute_residual": 2.1097998717126007e-16,
    "m4_form_factor_absolute_error": 5.116887109201206e-16,
    "m4_orthogonal_projection_norm": 1.932078638181409e-16,
    "m4_translation_absolute_residual": 2.918291037017726e-16,
    "sum_Fourier_weights_error": 0.0,
    "site_local_sum_rule_max_error": 0.0,
    "direct_vs_Fourier_sum_max_absolute_error": 6.509629298307251e-16,
    "direct_vs_closed_max_absolute_error": 1.0128170795505235e-15,
    "equal_time_sum_rule_error": 1.1102230246251565e-16,
    "first_moment_formula_error": 5.551115123125783e-17,
    "first_moment_operator_error": 5.551115123125783e-17,
    "grouped_line_[1, 4]_weight_error": 5.551115123125783e-17,
    "grouped_line_[2, 3]_weight_error": 1.3877787807814457e-16,
    "normalized_rescaling_phase_law_error": 1.7554167342883506e-16,
    "normalized_rescaling_weight_max_error": 4.163336342344337e-17,
    "final_ket_phase_amplitude_law_max_error": 6.206335383118183e-17,
    "final_ket_phase_weight_max_error": 4.163336342344337e-17
  },
  "maximum_equation_error": 1.0128170795505235e-15,
  "momentum_form_factors": [
    {
      "mode_number": 0,
      "q_radians": 0.0,
      "target_coordinate_mode_mod_5": 0,
      "target_active_U_eigenvalue": [
        1.0,
        0.0
      ],
      "form_factor_real_imag": [
        5.996316712426038e-19,
        0.0
      ],
      "form_factor_formula": 0.0,
      "weight": 3.5955814115719814e-37,
      "local_weight": 1.7977907057859913e-36,
      "frequency_over_J": -2.0
    },
    {
      "mode_number": 1,
      "q_radians": 1.2566370614359172,
      "target_coordinate_mode_mod_5": 4,
      "target_active_U_eigenvalue": [
        0.30901699437494745,
        0.9510565162951535
      ],
      "form_factor_real_imag": [
        -0.7071067811865475,
        -5.295304049886797e-16
      ],
      "form_factor_formula": -0.7071067811865475,
      "weight": 0.4999999999999999,
      "local_weight": 0.1,
      "frequency_over_J": -1.3090169943749475
    },
    {
      "mode_number": 2,
      "q_radians": 2.5132741228718345,
      "target_coordinate_mode_mod_5": 3,
      "target_active_U_eigenvalue": [
        -0.8090169943749473,
        0.5877852522924732
      ],
      "form_factor_real_imag": [
        0.7071067811865476,
        5.053459220629777e-16
      ],
      "form_factor_formula": 0.7071067811865472,
      "weight": 0.5000000000000001,
      "local_weight": 0.1,
      "frequency_over_J": -0.19098300562505255
    },
    {
      "mode_number": 3,
      "q_radians": 3.7699111843077517,
      "target_coordinate_mode_mod_5": 2,
      "target_active_U_eigenvalue": [
        -0.8090169943749475,
        -0.587785252292473
      ],
      "form_factor_real_imag": [
        0.7071067811865475,
        5.253367433228242e-16
      ],
      "form_factor_formula": 0.7071067811865477,
      "weight": 0.4999999999999999,
      "local_weight": 0.1,
      "frequency_over_J": -0.19098300562505255
    },
    {
      "mode_number": 4,
      "q_radians": 5.026548245743669,
      "target_coordinate_mode_mod_5": 1,
      "target_active_U_eigenvalue": [
        0.30901699437494723,
        -0.9510565162951536
      ],
      "form_factor_real_imag": [
        -0.7071067811865475,
        -5.116887109201206e-16
      ],
      "form_factor_formula": -0.7071067811865475,
      "weight": 0.4999999999999999,
      "local_weight": 0.09999999999999996,
      "frequency_over_J": -1.3090169943749472
    }
  ],
  "local_amplitudes_in_positive_k_DFT_basis": [
    [
      -1.3408171783602682e-18,
      0.0
    ],
    [
      -0.09771975379242745,
      0.3007504775037728
    ],
    [
      -0.2558336368008463,
      -0.18587401723009236
    ],
    [
      -0.2558336368008464,
      0.18587401723009211
    ],
    [
      -0.09771975379242723,
      -0.30075047750377293
    ]
  ],
  "local_spectrum_lines": [
    {
      "coordinate_modes": [
        1,
        4
      ],
      "frequency_over_J": -1.3090169943749475,
      "integrated_weight": 0.19999999999999996,
      "independent_H_projector_weight": 0.19999999999999996
    },
    {
      "coordinate_modes": [
        2,
        3
      ],
      "frequency_over_J": -0.19098300562505255,
      "integrated_weight": 0.2,
      "independent_H_projector_weight": 0.19999999999999987
    }
  ],
  "local_first_frequency_moment_over_J": -0.29999999999999993,
  "direct_operator_first_frequency_moment_over_J": -0.3,
  "negative_controls": {
    "raw_unnormalized_equal_time": 0.0625,
    "raw_equal_time_deficit": 0.3375,
    "one_state_omitted_equal_time": 0.30000000000000004,
    "one_state_omitted_deficit": 0.09999999999999998,
    "distinct_energies_only_equal_time": 0.19999999999999996,
    "lost_degenerate_partners_deficit": 0.20000000000000007,
    "whole_low_frequency_line_omitted_equal_time": 0.2,
    "whole_line_omitted_deficit": 0.2,
    "one_state_omitted_time_max_error": 0.10000000000000016,
    "wrong_Fourier_sign": [
      {
        "mode_number": 1,
        "wrong_translation_relative_residual": 1.902113032590307,
        "unchanged_weight_error": 0.0,
        "unchanged_energy_residual_over_J": 1.1760936782687822e-16
      },
      {
        "mode_number": 2,
        "wrong_translation_relative_residual": 1.1755705045849463,
        "unchanged_weight_error": 0.0,
        "unchanged_energy_residual_over_J": 2.7806288878169766e-16
      }
    ],
    "final_phase_changes_amplitudes_max": 0.21686761524741846
  },
  "time_evolution": [
    {
      "dimensionless_time_Jt": 0.0,
      "physical_time": 0.0,
      "direct_sector_real_imag": [
        0.3999999999999999,
        0.0
      ],
      "Fourier_sum_real_imag": [
        0.3999999999999999,
        0.0
      ],
      "closed_formula_real_imag": [
        0.4,
        0.0
      ]
    },
    {
      "dimensionless_time_Jt": 0.1,
      "physical_time": 0.1,
      "direct_sector_real_imag": [
        0.3982524465195247,
        0.029925064036371546
      ],
      "Fourier_sum_real_imag": [
        0.3982524465195248,
        0.029925064036371542
      ],
      "closed_formula_real_imag": [
        0.3982524465195248,
        0.029925064036371553
      ]
    },
    {
      "dimensionless_time_Jt": 0.2,
      "physical_time": 0.2,
      "direct_sector_real_imag": [
        0.3930390773316129,
        0.05940204665794444
      ],
      "Fourier_sum_real_imag": [
        0.39303907733161303,
        0.059402046657944435
      ],
      "closed_formula_real_imag": [
        0.3930390773316131,
        0.05940204665794445
      ]
    },
    {
      "dimensionless_time_Jt": 0.30000000000000004,
      "physical_time": 0.30000000000000004,
      "direct_sector_real_imag": [
        0.384447265222777,
        0.08799051015322332
      ],
      "Fourier_sum_real_imag": [
        0.3844472652227771,
        0.0879905101532233
      ],
      "closed_formula_real_imag": [
        0.38444726522277717,
        0.08799051015322333
      ]
    },
    {
      "dimensionless_time_Jt": 0.4,
      "physical_time": 0.4,
      "direct_sector_real_imag": [
        0.37262097016242307,
        0.11526517343594334
      ],
      "Fourier_sum_real_imag": [
        0.37262097016242324,
        0.11526517343594332
      ],
      "closed_formula_real_imag": [
        0.3726209701624233,
        0.11526517343594335
      ]
    },
    {
      "dimensionless_time_Jt": 0.5,
      "physical_time": 0.5,
      "direct_sector_real_imag": [
        0.35775827714595704,
        0.14082316564201666
      ],
      "Fourier_sum_real_imag": [
        0.3577582771459572,
        0.1408231656420167
      ],
      "closed_formula_real_imag": [
        0.3577582771459572,
        0.14082316564201672
      ]
    },
    {
      "dimensionless_time_Jt": 0.6000000000000001,
      "physical_time": 0.6000000000000001,
      "direct_sector_real_imag": [
        0.34010800836016836,
        0.16429089629514498
      ],
      "Fourier_sum_real_imag": [
        0.3401080083601684,
        0.16429089629514498
      ],
      "closed_formula_real_imag": [
        0.3401080083601685,
        0.164290896295145
      ]
    },
    {
      "dimensionless_time_Jt": 0.7000000000000001,
      "physical_time": 0.7000000000000001,
      "direct_sector_real_imag": [
        0.3199654676388887,
        0.18533042449555237
      ],
      "Fourier_sum_real_imag": [
        0.3199654676388888,
        0.18533042449555237
      ],
      "closed_formula_real_imag": [
        0.31996546763888883,
        0.18533042449555243
      ]
    },
    {
      "dimensionless_time_Jt": 0.8,
      "physical_time": 0.8,
      "direct_sector_real_imag": [
        0.2976673900239657,
        0.20364521815839767
      ],
      "Fourier_sum_real_imag": [
        0.29766739002396586,
        0.20364521815839765
      ],
      "closed_formula_real_imag": [
        0.2976673900239658,
        0.20364521815839773
      ]
    },
    {
      "dimensionless_time_Jt": 0.9,
      "physical_time": 0.9,
      "direct_sector_real_imag": [
        0.27358618284771596,
        0.2189852047651459
      ],
      "Fourier_sum_real_imag": [
        0.27358618284771613,
        0.21898520476514588
      ],
      "closed_formula_real_imag": [
        0.27358618284771613,
        0.21898520476514596
      ]
    },
    {
      "dimensionless_time_Jt": 1.0,
      "physical_time": 1.0,
      "direct_sector_real_imag": [
        0.2481235568754948,
        0.23115102721394284
      ],
      "Fourier_sum_real_imag": [
        0.24812355687549498,
        0.2311510272139428
      ],
      "closed_formula_real_imag": [
        0.24812355687549495,
        0.2311510272139428
      ]
    },
    {
      "dimensionless_time_Jt": 1.1,
      "physical_time": 1.1,
      "direct_sector_real_imag": [
        0.22170365648341867,
        0.23999743195640563
      ],
      "Fourier_sum_real_imag": [
        0.22170365648341878,
        0.23999743195640555
      ],
      "closed_formula_real_imag": [
        0.22170365648341872,
        0.23999743195640558
      ]
    },
    {
      "dimensionless_time_Jt": 1.2000000000000002,
      "physical_time": 1.2000000000000002,
      "direct_sector_real_imag": [
        0.19476580641802588,
        0.24543573145549413
      ],
      "Fourier_sum_real_imag": [
        0.19476580641802604,
        0.24543573145549408
      ],
      "closed_formula_real_imag": [
        0.19476580641802602,
        0.2454357314554941
      ]
    },
    {
      "dimensionless_time_Jt": 1.3,
      "physical_time": 1.3,
      "direct_sector_real_imag": [
        0.1677569992450912,
        0.24743529883820534
      ],
      "Fourier_sum_real_imag": [
        0.16775699924509138,
        0.2474352988382053
      ],
      "closed_formula_real_imag": [
        0.1677569992450913,
        0.24743529883820534
      ]
    },
    {
      "dimensionless_time_Jt": 1.4000000000000001,
      "physical_time": 1.4000000000000001,
      "direct_sector_real_imag": [
        0.1411242520316649,
        0.2460240691767252
      ],
      "Fourier_sum_real_imag": [
        0.14112425203166504,
        0.24602406917672515
      ],
      "closed_formula_real_imag": [
        0.141124252031665,
        0.2460240691767252
      ]
    },
    {
      "dimensionless_time_Jt": 1.5,
      "physical_time": 1.5,
      "direct_sector_real_imag": [
        0.11530696304277553,
        0.24128803882902067
      ],
      "Fourier_sum_real_imag": [
        0.11530696304277568,
        0.24128803882902064
      ],
      "closed_formula_real_imag": [
        0.11530696304277563,
        0.24128803882902067
      ]
    },
    {
      "dimensionless_time_Jt": 1.6,
      "physical_time": 1.6,
      "direct_sector_real_imag": [
        0.09072939923382249,
        0.23336977141382323
      ],
      "Fourier_sum_real_imag": [
        0.09072939923382266,
        0.23336977141382317
      ],
      "closed_formula_real_imag": [
        0.09072939923382253,
        0.23336977141382317
      ]
    },
    {
      "dimensionless_time_Jt": 1.7000000000000002,
      "physical_time": 1.7000000000000002,
      "direct_sector_real_imag": [
        0.06779344308151182,
        0.22246593599219594
      ],
      "Fourier_sum_real_imag": [
        0.06779344308151197,
        0.22246593599219588
      ],
      "closed_formula_real_imag": [
        0.06779344308151194,
        0.22246593599219588
      ]
    },
    {
      "dimensionless_time_Jt": 1.8,
      "physical_time": 1.8,
      "direct_sector_real_imag": [
        0.046871722858538585,
        0.2088239195875542
      ],
      "Fourier_sum_real_imag": [
        0.04687172285853876,
        0.20882391958755414
      ],
      "closed_formula_real_imag": [
        0.04687172285853866,
        0.20882391958755409
      ]
    },
    {
      "dimensionless_time_Jt": 1.9000000000000001,
      "physical_time": 1.9000000000000001,
      "direct_sector_real_imag": [
        0.028301243896035076,
        0.19273757201477335
      ],
      "Fourier_sum_real_imag": [
        0.028301243896035264,
        0.1927375720147733
      ],
      "closed_formula_real_imag": [
        0.0283012438960352,
        0.19273757201477323
      ]
    },
    {
      "dimensionless_time_Jt": 2.0,
      "physical_time": 2.0,
      "direct_sector_real_imag": [
        0.012377629805348936,
        0.17454215583585656
      ],
      "Fourier_sum_real_imag": [
        0.012377629805349136,
        0.1745421558358565
      ],
      "closed_formula_real_imag": [
        0.012377629805349061,
        0.17454215583585644
      ]
    },
    {
      "dimensionless_time_Jt": 2.1,
      "physical_time": 2.1,
      "direct_sector_real_imag": [
        -0.0006499278063355985,
        0.15460858786050155
      ],
      "Fourier_sum_real_imag": [
        -0.0006499278063354236,
        0.1546085878605015
      ],
      "closed_formula_real_imag": [
        -0.0006499278063355142,
        0.15460858786050144
      ]
    },
    {
      "dimensionless_time_Jt": 2.2,
      "physical_time": 2.2,
      "direct_sector_real_imag": [
        -0.010582924715065393,
        0.1333370707320887
      ],
      "Fourier_sum_real_imag": [
        -0.010582924715065209,
        0.13333707073208861
      ],
      "closed_formula_real_imag": [
        -0.010582924715065266,
        0.1333370707320886
      ]
    },
    {
      "dimensionless_time_Jt": 2.3000000000000003,
      "physical_time": 2.3000000000000003,
      "direct_sector_real_imag": [
        -0.01727693174402867,
        0.11115022357567807
      ],
      "Fourier_sum_real_imag": [
        -0.017276931744028473,
        0.111150223575678
      ],
      "closed_formula_real_imag": [
        -0.017276931744028508,
        0.11115022357567798
      ]
    },
    {
      "dimensionless_time_Jt": 2.4000000000000004,
      "physical_time": 2.4000000000000004,
      "direct_sector_real_imag": [
        -0.020644056749912452,
        0.08848582925599581
      ],
      "Fourier_sum_real_imag": [
        -0.02064405674991225,
        0.08848582925599575
      ],
      "closed_formula_real_imag": [
        -0.02064405674991229,
        0.08848582925599571
      ]
    },
    {
      "dimensionless_time_Jt": 2.5,
      "physical_time": 2.5,
      "direct_sector_real_imag": [
        -0.02065443880854528,
        0.06578932235343454
      ],
      "Fourier_sum_real_imag": [
        -0.02065443880854506,
        0.0657893223534345
      ],
      "closed_formula_real_imag": [
        -0.020654438808545103,
        0.06578932235343445
      ]
    },
    {
      "dimensionless_time_Jt": 2.6,
      "physical_time": 2.6,
      "direct_sector_real_imag": [
        -0.017336749036657446,
        0.043506146402549926
      ],
      "Fourier_sum_real_imag": [
        -0.01733674903665719,
        0.04350614640254989
      ],
      "closed_formula_real_imag": [
        -0.017336749036657228,
        0.043506146402549815
      ]
    },
    {
      "dimensionless_time_Jt": 2.7,
      "physical_time": 2.7,
      "direct_sector_real_imag": [
        -0.010777689483989192,
        0.02207411117449029
      ],
      "Fourier_sum_real_imag": [
        -0.010777689483989009,
        0.02207411117449022
      ],
      "closed_formula_real_imag": [
        -0.010777689483989038,
        0.022074111174490162
      ]
    },
    {
      "dimensionless_time_Jt": 2.8000000000000003,
      "physical_time": 2.8000000000000003,
      "direct_sector_real_imag": [
        -0.001120498673942926,
        0.0019158807839701412
      ],
      "Fourier_sum_real_imag": [
        -0.0011204986739426909,
        0.001915880783970099
      ],
      "closed_formula_real_imag": [
        -0.0011204986739427,
        0.0019158807839700105
      ]
    },
    {
      "dimensionless_time_Jt": 2.9000000000000004,
      "physical_time": 2.9000000000000004,
      "direct_sector_real_imag": [
        0.01143751063184438,
        -0.016568278837185924
      ],
      "Fourier_sum_real_imag": [
        0.011437510631844616,
        -0.016568278837185958
      ],
      "closed_formula_real_imag": [
        0.011437510631844604,
        -0.01656827883718602
      ]
    },
    {
      "dimensionless_time_Jt": 3.0,
      "physical_time": 3.0,
      "direct_sector_real_imag": [
        0.02664833931006061,
        -0.03300736899595147
      ],
      "Fourier_sum_real_imag": [
        0.026648339310060887,
        -0.03300736899595154
      ],
      "closed_formula_real_imag": [
        0.0266483393100609,
        -0.033007368995951615
      ]
    },
    {
      "dimensionless_time_Jt": 3.1,
      "physical_time": 3.1,
      "direct_sector_real_imag": [
        0.04421755741986581,
        -0.04706602628104999
      ],
      "Fourier_sum_real_imag": [
        0.04421755741986609,
        -0.047066026281050034
      ],
      "closed_formula_real_imag": [
        0.04421755741986609,
        -0.047066026281050076
      ]
    },
    {
      "dimensionless_time_Jt": 3.2,
      "physical_time": 3.2,
      "direct_sector_real_imag": [
        0.06380935459444934,
        -0.05845028062335342
      ],
      "Fourier_sum_real_imag": [
        0.06380935459444961,
        -0.05845028062335348
      ],
      "closed_formula_real_imag": [
        0.0638093545944497,
        -0.058450280623353564
      ]
    },
    {
      "dimensionless_time_Jt": 3.3000000000000003,
      "physical_time": 3.3000000000000003,
      "direct_sector_real_imag": [
        0.08505229885921248,
        -0.06691260484151335
      ],
      "Fourier_sum_real_imag": [
        0.08505229885921273,
        -0.06691260484151335
      ],
      "closed_formula_real_imag": [
        0.08505229885921275,
        -0.06691260484151343
      ]
    },
    {
      "dimensionless_time_Jt": 3.4000000000000004,
      "physical_time": 3.4000000000000004,
      "direct_sector_real_imag": [
        0.10754570533390073,
        -0.07225616926394453
      ],
      "Fourier_sum_real_imag": [
        0.107545705333901,
        -0.07225616926394453
      ],
      "closed_formula_real_imag": [
        0.10754570533390098,
        -0.07225616926394457
      ]
    },
    {
      "dimensionless_time_Jt": 3.5,
      "physical_time": 3.5,
      "direct_sector_real_imag": [
        0.1308665058402798,
        -0.07433822862016086
      ],
      "Fourier_sum_real_imag": [
        0.13086650584028006,
        -0.0743382286201609
      ],
      "closed_formula_real_imag": [
        0.13086650584028006,
        -0.07433822862016093
      ]
    },
    {
      "dimensionless_time_Jt": 3.6,
      "physical_time": 3.6,
      "direct_sector_real_imag": [
        0.15457650186591612,
        -0.0730725832421159
      ],
      "Fourier_sum_real_imag": [
        0.15457650186591637,
        -0.0730725832421159
      ],
      "closed_formula_real_imag": [
        0.15457650186591657,
        -0.07307258324211596
      ]
    },
    {
      "dimensionless_time_Jt": 3.7,
      "physical_time": 3.7,
      "direct_sector_real_imag": [
        0.17822987677496296,
        -0.06843107245559653
      ],
      "Fourier_sum_real_imag": [
        0.17822987677496321,
        -0.06843107245559653
      ],
      "closed_formula_real_imag": [
        0.1782298767749633,
        -0.06843107245559651
      ]
    },
    {
      "dimensionless_time_Jt": 3.8000000000000003,
      "physical_time": 3.8000000000000003,
      "direct_sector_real_imag": [
        0.2013808387208005,
        -0.06044407460182026
      ],
      "Fourier_sum_real_imag": [
        0.2013808387208008,
        -0.060444074601820275
      ],
      "closed_formula_real_imag": [
        0.20138083872080104,
        -0.060444074601820295
      ]
    },
    {
      "dimensionless_time_Jt": 3.9000000000000004,
      "physical_time": 3.9000000000000004,
      "direct_sector_real_imag": [
        0.2235912634788389,
        -0.049200005126837656
      ],
      "Fourier_sum_real_imag": [
        0.22359126347883918,
        -0.049200005126837636
      ],
      "closed_formula_real_imag": [
        0.22359126347883929,
        -0.04920000512683765
      ]
    },
    {
      "dimensionless_time_Jt": 4.0,
      "physical_time": 4.0,
      "direct_sector_real_imag": [
        0.24443820641902714,
        -0.03484382132030914
      ],
      "Fourier_sum_real_imag": [
        0.24443820641902742,
        -0.03484382132030914
      ],
      "closed_formula_real_imag": [
        0.2444382064190275,
        -0.03484382132030911
      ]
    },
    {
      "dimensionless_time_Jt": 4.1000000000000005,
      "physical_time": 4.1000000000000005,
      "direct_sector_real_imag": [
        0.2635211550766223,
        -0.0175745592823534
      ],
      "Fourier_sum_real_imag": [
        0.2635211550766226,
        -0.017574559282353415
      ],
      "closed_formula_real_imag": [
        0.26352115507662277,
        -0.017574559282353432
      ]
    },
    {
      "dimensionless_time_Jt": 4.2,
      "physical_time": 4.2,
      "direct_sector_real_imag": [
        0.28046889821821164,
        0.002358054743371423
      ],
      "Fourier_sum_real_imag": [
        0.2804688982182119,
        0.0023580547433714183
      ],
      "closed_formula_real_imag": [
        0.2804688982182121,
        0.002358054743371552
      ]
    },
    {
      "dimensionless_time_Jt": 4.3,
      "physical_time": 4.3,
      "direct_sector_real_imag": [
        0.29494589386194436,
        0.024657860693753274
      ],
      "Fourier_sum_real_imag": [
        0.2949458938619446,
        0.02465786069375326
      ],
      "closed_formula_real_imag": [
        0.2949458938619447,
        0.02465786069375329
      ]
    },
    {
      "dimensionless_time_Jt": 4.4,
      "physical_time": 4.4,
      "direct_sector_real_imag": [
        0.3066580272840994,
        0.04898731584444907
      ],
      "Fourier_sum_real_imag": [
        0.30665802728409963,
        0.04898731584444915
      ],
      "closed_formula_real_imag": [
        0.3066580272840997,
        0.048987315844449195
      ]
    },
    {
      "dimensionless_time_Jt": 4.5,
      "physical_time": 4.5,
      "direct_sector_real_imag": [
        0.31535766048182756,
        0.0749732543788581
      ],
      "Fourier_sum_real_imag": [
        0.3153576604818278,
        0.07497325437885809
      ],
      "closed_formula_real_imag": [
        0.31535766048182795,
        0.07497325437885823
      ]
    },
    {
      "dimensionless_time_Jt": 4.6000000000000005,
      "physical_time": 4.6000000000000005,
      "direct_sector_real_imag": [
        0.32084788668554465,
        0.1022132568228668
      ],
      "Fourier_sum_real_imag": [
        0.3208478866855449,
        0.10221325682286683
      ],
      "closed_formula_real_imag": [
        0.32084788668554504,
        0.10221325682286678
      ]
    },
    {
      "dimensionless_time_Jt": 4.7,
      "physical_time": 4.7,
      "direct_sector_real_imag": [
        0.3229859171165747,
        0.13028252036496843
      ],
      "Fourier_sum_real_imag": [
        0.322985917116575,
        0.13028252036496846
      ],
      "closed_formula_real_imag": [
        0.32298591711657504,
        0.13028252036496857
      ]
    },
    {
      "dimensionless_time_Jt": 4.800000000000001,
      "physical_time": 4.800000000000001,
      "direct_sector_real_imag": [
        0.3216855420335203,
        0.1587411125107028
      ],
      "Fourier_sum_real_imag": [
        0.3216855420335205,
        0.15874111251070283
      ],
      "closed_formula_real_imag": [
        0.3216855420335206,
        0.15874111251070291
      ]
    },
    {
      "dimensionless_time_Jt": 4.9,
      "physical_time": 4.9,
      "direct_sector_real_imag": [
        0.316918623950384,
        0.18714148396106453
      ],
      "Fourier_sum_real_imag": [
        0.3169186239503842,
        0.18714148396106456
      ],
      "closed_formula_real_imag": [
        0.3169186239503842,
        0.18714148396106464
      ]
    },
    {
      "dimensionless_time_Jt": 5.0,
      "physical_time": 5.0,
      "direct_sector_real_imag": [
        0.30871559746968313,
        0.21503611216889082
      ],
      "Fourier_sum_real_imag": [
        0.3087155974696834,
        0.21503611216889082
      ],
      "closed_formula_real_imag": [
        0.30871559746968347,
        0.2150361121688909
      ]
    },
    {
      "dimensionless_time_Jt": 5.1000000000000005,
      "physical_time": 5.1000000000000005,
      "direct_sector_real_imag": [
        0.2971649671713095,
        0.24198514479109304
      ],
      "Fourier_sum_real_imag": [
        0.2971649671713098,
        0.24198514479109304
      ],
      "closed_formula_real_imag": [
        0.29716496717130986,
        0.2419851447910931
      ]
    },
    {
      "dimensionless_time_Jt": 5.2,
      "physical_time": 5.2,
      "direct_sector_real_imag": [
        0.2824118121418555,
        0.2675639122562587
      ],
      "Fourier_sum_real_imag": [
        0.2824118121418558,
        0.2675639122562587
      ],
      "closed_formula_real_imag": [
        0.2824118121418557,
        0.2675639122562589
      ]
    },
    {
      "dimensionless_time_Jt": 5.300000000000001,
      "physical_time": 5.300000000000001,
      "direct_sector_real_imag": [
        0.26465532272620873,
        0.29137018090655914
      ],
      "Fourier_sum_real_imag": [
        0.2646553227262089,
        0.29137018090655925
      ],
      "closed_formula_real_imag": [
        0.2646553227262089,
        0.29137018090655936
      ]
    },
    {
      "dimensionless_time_Jt": 5.4,
      "physical_time": 5.4,
      "direct_sector_real_imag": [
        0.2441454116425772,
        0.3130310226117409
      ],
      "Fourier_sum_real_imag": [
        0.24414541164257736,
        0.31303102261174093
      ],
      "closed_formula_real_imag": [
        0.24414541164257722,
        0.31303102261174115
      ]
    },
    {
      "dimensionless_time_Jt": 5.5,
      "physical_time": 5.5,
      "direct_sector_real_imag": [
        0.22117845744039447,
        0.3322091833153241
      ],
      "Fourier_sum_real_imag": [
        0.2211784574403947,
        0.33220918331532406
      ],
      "closed_formula_real_imag": [
        0.2211784574403946,
        0.3322091833153242
      ]
    },
    {
      "dimensionless_time_Jt": 5.6000000000000005,
      "physical_time": 5.6000000000000005,
      "direct_sector_real_imag": [
        0.19609225312677925,
        0.34860884154665644
      ],
      "Fourier_sum_real_imag": [
        0.1960922531267794,
        0.3486088415466565
      ],
      "closed_formula_real_imag": [
        0.1960922531267794,
        0.34860884154665656
      ]
    },
    {
      "dimensionless_time_Jt": 5.7,
      "physical_time": 5.7,
      "direct_sector_real_imag": [
        0.16926024638733567,
        0.36198065837051335
      ],
      "Fourier_sum_real_imag": [
        0.1692602463873359,
        0.3619806583705134
      ],
      "closed_formula_real_imag": [
        0.1692602463873357,
        0.3619806583705135
      ]
    },
    {
      "dimensionless_time_Jt": 5.800000000000001,
      "physical_time": 5.800000000000001,
      "direct_sector_real_imag": [
        0.14108516994838632,
        0.37212603236986286
      ],
      "Fourier_sum_real_imag": [
        0.14108516994838657,
        0.37212603236986286
      ],
      "closed_formula_real_imag": [
        0.14108516994838652,
        0.37212603236986297
      ]
    },
    {
      "dimensionless_time_Jt": 5.9,
      "physical_time": 5.9,
      "direct_sector_real_imag": [
        0.11199217106282168,
        0.3789004868597924
      ],
      "Fourier_sum_real_imag": [
        0.11199217106282194,
        0.3789004868597924
      ],
      "closed_formula_real_imag": [
        0.11199217106282168,
        0.3789004868597925
      ]
    },
    {
      "dimensionless_time_Jt": 6.0,
      "physical_time": 6.0,
      "direct_sector_real_imag": [
        0.08242155767205797,
        0.3822161313786738
      ],
      "Fourier_sum_real_imag": [
        0.08242155767205822,
        0.3822161313786738
      ],
      "closed_formula_real_imag": [
        0.08242155767205803,
        0.3822161313786738
      ]
    },
    {
      "dimensionless_time_Jt": 6.1000000000000005,
      "physical_time": 6.1000000000000005,
      "direct_sector_real_imag": [
        0.05282128535551149,
        0.3820431553423537
      ],
      "Fourier_sum_real_imag": [
        0.05282128535551179,
        0.3820431553423537
      ],
      "closed_formula_real_imag": [
        0.05282128535551173,
        0.3820431553423537
      ]
    },
    {
      "dimensionless_time_Jt": 6.2,
      "physical_time": 6.2,
      "direct_sector_real_imag": [
        0.023639313614249903,
        0.3784103283074792
      ],
      "Fourier_sum_real_imag": [
        0.023639313614250094,
        0.3784103283074791
      ],
      "closed_formula_real_imag": [
        0.023639313614249955,
        0.3784103283074792
      ]
    },
    {
      "dimensionless_time_Jt": 6.300000000000001,
      "physical_time": 6.300000000000001,
      "direct_sector_real_imag": [
        -0.004684037728795817,
        0.3714044982876337
      ],
      "Fourier_sum_real_imag": [
        -0.004684037728795568,
        0.37140449828763367
      ],
      "closed_formula_real_imag": [
        -0.004684037728795825,
        0.3714044982876336
      ]
    },
    {
      "dimensionless_time_Jt": 6.4,
      "physical_time": 6.4,
      "direct_sector_real_imag": [
        -0.03172360123172158,
        0.3611690967099298
      ],
      "Fourier_sum_real_imag": [
        -0.03172360123172131,
        0.36116909670992975
      ],
      "closed_formula_real_imag": [
        -0.03172360123172173,
        0.36116909670992964
      ]
    },
    {
      "dimensionless_time_Jt": 6.5,
      "physical_time": 6.5,
      "direct_sector_real_imag": [
        -0.057076615099137674,
        0.3479016755967326
      ],
      "Fourier_sum_real_imag": [
        -0.05707661509913737,
        0.3479016755967326
      ],
      "closed_formula_real_imag": [
        -0.057076615099137605,
        0.34790167559673246
      ]
    },
    {
      "dimensionless_time_Jt": 6.6000000000000005,
      "physical_time": 6.6000000000000005,
      "direct_sector_real_imag": [
        -0.08036959290897912,
        0.3318505191164403
      ],
      "Fourier_sum_real_imag": [
        -0.08036959290897884,
        0.33185051911644037
      ],
      "closed_formula_real_imag": [
        -0.0803695929089789,
        0.3318505191164403
      ]
    },
    {
      "dimensionless_time_Jt": 6.7,
      "physical_time": 6.7,
      "direct_sector_real_imag": [
        -0.1012646922620822,
        0.31331038748538514
      ],
      "Fourier_sum_real_imag": [
        -0.10126469226208189,
        0.3133103874853851
      ],
      "closed_formula_real_imag": [
        -0.10126469226208204,
        0.313310387485385
      ]
    },
    {
      "dimensionless_time_Jt": 6.800000000000001,
      "physical_time": 6.800000000000001,
      "direct_sector_real_imag": [
        -0.11946547338986048,
        0.29261746604892636
      ],
      "Fourier_sum_real_imag": [
        -0.11946547338986015,
        0.2926174660489263
      ],
      "closed_formula_real_imag": [
        -0.11946547338986019,
        0.2926174660489263
      ]
    },
    {
      "dimensionless_time_Jt": 6.9,
      "physical_time": 6.9,
      "direct_sector_real_imag": [
        -0.1347219491937636,
        0.2701436059696857
      ],
      "Fourier_sum_real_imag": [
        -0.13472194919376326,
        0.27014360596968556
      ],
      "closed_formula_real_imag": [
        -0.1347219491937634,
        0.27014360596968556
      ]
    },
    {
      "dimensionless_time_Jt": 7.0,
      "physical_time": 7.0,
      "direct_sector_real_imag": [
        -0.14683484031443286,
        0.24628995507187323
      ],
      "Fourier_sum_real_imag": [
        -0.14683484031443256,
        0.24628995507187318
      ],
      "closed_formula_real_imag": [
        -0.14683484031443259,
        0.24628995507187318
      ]
    },
    {
      "dimensionless_time_Jt": 7.1000000000000005,
      "physical_time": 7.1000000000000005,
      "direct_sector_real_imag": [
        -0.15565896243108163,
        0.22148008782543135
      ],
      "Fourier_sum_real_imag": [
        -0.15565896243108124,
        0.22148008782543135
      ],
      "closed_formula_real_imag": [
        -0.15565896243108132,
        0.2214800878254312
      ]
    },
    {
      "dimensionless_time_Jt": 7.2,
      "physical_time": 7.2,
      "direct_sector_real_imag": [
        -0.16110568783991555,
        0.19615275202367244
      ],
      "Fourier_sum_real_imag": [
        -0.1611056878399152,
        0.1961527520236724
      ],
      "closed_formula_real_imag": [
        -0.1611056878399152,
        0.1961527520236721
      ]
    },
    {
      "dimensionless_time_Jt": 7.300000000000001,
      "physical_time": 7.300000000000001,
      "direct_sector_real_imag": [
        -0.16314443920027294,
        0.17075435626661783
      ],
      "Fourier_sum_real_imag": [
        -0.16314443920027255,
        0.17075435626661783
      ],
      "closed_formula_real_imag": [
        -0.16314443920027247,
        0.1707543562666176
      ]
    },
    {
      "dimensionless_time_Jt": 7.4,
      "physical_time": 7.4,
      "direct_sector_real_imag": [
        -0.16180318989758705,
        0.1457313267971092
      ],
      "Fourier_sum_real_imag": [
        -0.16180318989758669,
        0.1457313267971092
      ],
      "closed_formula_real_imag": [
        -0.1618031898975867,
        0.14573132679710904
      ]
    },
    {
      "dimensionless_time_Jt": 7.5,
      "physical_time": 7.5,
      "direct_sector_real_imag": [
        -0.157167962469891,
        0.12152246447207594
      ],
      "Fourier_sum_real_imag": [
        -0.15716796246989054,
        0.12152246447207597
      ],
      "closed_formula_real_imag": [
        -0.1571679624698904,
        0.12152246447207576
      ]
    },
    {
      "dimensionless_time_Jt": 7.6000000000000005,
      "physical_time": 7.6000000000000005,
      "direct_sector_real_imag": [
        -0.14938133368855036,
        0.09855143264888296
      ],
      "Fourier_sum_real_imag": [
        -0.14938133368854994,
        0.09855143264888301
      ],
      "closed_formula_real_imag": [
        -0.14938133368854967,
        0.09855143264888264
      ]
    },
    {
      "dimensionless_time_Jt": 7.7,
      "physical_time": 7.7,
      "direct_sector_real_imag": [
        -0.13863997188088148,
        0.07721950452644906
      ],
      "Fourier_sum_real_imag": [
        -0.13863997188088104,
        0.07721950452644913
      ],
      "closed_formula_real_imag": [
        -0.13863997188088084,
        0.07721950452644882
      ]
    },
    {
      "dimensionless_time_Jt": 7.800000000000001,
      "physical_time": 7.800000000000001,
      "direct_sector_real_imag": [
        -0.12519124864145165,
        0.05789869404119361
      ],
      "Fourier_sum_real_imag": [
        -0.12519124864145117,
        0.0578986940411937
      ],
      "closed_formula_real_imag": [
        -0.1251912486414511,
        0.057898694041193556
      ]
    },
    {
      "dimensionless_time_Jt": 7.9,
      "physical_time": 7.9,
      "direct_sector_real_imag": [
        -0.10932898291683552,
        0.040925387854777534
      ],
      "Fourier_sum_real_imag": [
        -0.10932898291683504,
        0.04092538785477763
      ],
      "closed_formula_real_imag": [
        -0.10932898291683477,
        0.04092538785477738
      ]
    },
    {
      "dimensionless_time_Jt": 8.0,
      "physical_time": 8.0,
      "direct_sector_real_imag": [
        -0.09138839029439964,
        0.02659458739635606
      ],
      "Fourier_sum_real_imag": [
        -0.09138839029439919,
        0.02659458739635616
      ],
      "closed_formula_real_imag": [
        -0.09138839029439905,
        0.02659458739635604
      ]
    },
    {
      "dimensionless_time_Jt": 8.1,
      "physical_time": 8.1,
      "direct_sector_real_imag": [
        -0.07174032392530716,
        0.015154859483387371
      ],
      "Fourier_sum_real_imag": [
        -0.0717403239253067,
        0.015154859483387503
      ],
      "closed_formula_real_imag": [
        -0.07174032392530673,
        0.015154859483387465
      ]
    },
    {
      "dimensionless_time_Jt": 8.200000000000001,
      "physical_time": 8.200000000000001,
      "direct_sector_real_imag": [
        -0.05078490563264587,
        0.006804081920523089
      ],
      "Fourier_sum_real_imag": [
        -0.05078490563264541,
        0.006804081920523217
      ],
      "closed_formula_real_imag": [
        -0.050784905632645164,
        0.006804081920523121
      ]
    },
    {
      "dimensionless_time_Jt": 8.3,
      "physical_time": 8.3,
      "direct_sector_real_imag": [
        -0.028944656190020145,
        0.0016860568732386808
      ],
      "Fourier_sum_real_imag": [
        -0.028944656190019694,
        0.0016860568732388337
      ],
      "closed_formula_real_imag": [
        -0.028944656190019256,
        0.0016860568732387571
      ]
    },
    {
      "dimensionless_time_Jt": 8.4,
      "physical_time": 8.4,
      "direct_sector_real_imag": [
        -0.006657242325541521,
        -0.0001119500356239107
      ],
      "Fourier_sum_real_imag": [
        -0.00665724232554107,
        -0.00011195003562373962
      ],
      "closed_formula_real_imag": [
        -0.006657242325540803,
        -0.00011195003562376243
      ]
    },
    {
      "dimensionless_time_Jt": 8.5,
      "physical_time": 8.5,
      "direct_sector_real_imag": [
        0.015632035435698816,
        0.0014392972017501099
      ],
      "Fourier_sum_real_imag": [
        0.01563203543569926,
        0.001439297201750303
      ],
      "closed_formula_real_imag": [
        0.015632035435699354,
        0.001439297201750302
      ]
    },
    {
      "dimensionless_time_Jt": 8.6,
      "physical_time": 8.6,
      "direct_sector_real_imag": [
        0.03747788554313919,
        0.0063105052844409934
      ],
      "Fourier_sum_real_imag": [
        0.037477885543139675,
        0.006310505284441215
      ],
      "closed_formula_real_imag": [
        0.03747788554313994,
        0.006310505284441212
      ]
    },
    {
      "dimensionless_time_Jt": 8.700000000000001,
      "physical_time": 8.700000000000001,
      "direct_sector_real_imag": [
        0.058442668023789814,
        0.014414353837729654
      ],
      "Fourier_sum_real_imag": [
        0.05844266802379036,
        0.014414353837729918
      ],
      "closed_formula_real_imag": [
        0.05844266802379073,
        0.014414353837729989
      ]
    },
    {
      "dimensionless_time_Jt": 8.8,
      "physical_time": 8.8,
      "direct_sector_real_imag": [
        0.07810390613724653,
        0.025606990982667256
      ],
      "Fourier_sum_real_imag": [
        0.07810390613724709,
        0.025606990982667582
      ],
      "closed_formula_real_imag": [
        0.07810390613724727,
        0.02560699098266764
      ]
    },
    {
      "dimensionless_time_Jt": 8.9,
      "physical_time": 8.9,
      "direct_sector_real_imag": [
        0.09606153854375632,
        0.03969049664935936
      ],
      "Fourier_sum_real_imag": [
        0.09606153854375687,
        0.0396904966493597
      ],
      "closed_formula_real_imag": [
        0.09606153854375718,
        0.03969049664935989
      ]
    },
    {
      "dimensionless_time_Jt": 9.0,
      "physical_time": 9.0,
      "direct_sector_real_imag": [
        0.11194478788644296,
        0.056416271484009364
      ],
      "Fourier_sum_real_imag": [
        0.11194478788644335,
        0.05641627148400963
      ],
      "closed_formula_real_imag": [
        0.11194478788644364,
        0.05641627148400986
      ]
    },
    {
      "dimensionless_time_Jt": 9.1,
      "physical_time": 9.1,
      "direct_sector_real_imag": [
        0.12541852825228963,
        0.07548929336195782
      ],
      "Fourier_sum_real_imag": [
        0.12541852825229002,
        0.07548929336195806
      ],
      "closed_formula_real_imag": [
        0.12541852825229016,
        0.07548929336195818
      ]
    },
    {
      "dimensionless_time_Jt": 9.200000000000001,
      "physical_time": 9.200000000000001,
      "direct_sector_real_imag": [
        0.13618904255107167,
        0.09657316867335627
      ],
      "Fourier_sum_real_imag": [
        0.1361890425510721,
        0.09657316867335658
      ],
      "closed_formula_real_imag": [
        0.1361890425510722,
        0.09657316867335658
      ]
    },
    {
      "dimensionless_time_Jt": 9.3,
      "physical_time": 9.3,
      "direct_sector_real_imag": [
        0.1440090712904463,
        0.11929589194875587
      ],
      "Fourier_sum_real_imag": [
        0.14400907129044668,
        0.11929589194875617
      ],
      "closed_formula_real_imag": [
        0.1440090712904469,
        0.11929589194875634
      ]
    },
    {
      "dimensionless_time_Jt": 9.4,
      "physical_time": 9.4,
      "direct_sector_real_imag": [
        0.1486820663502152,
        0.14325621527147608
      ],
      "Fourier_sum_real_imag": [
        0.14868206635021558,
        0.1432562152714764
      ],
      "closed_formula_real_imag": [
        0.14868206635021558,
        0.14325621527147656
      ]
    },
    {
      "dimensionless_time_Jt": 9.5,
      "physical_time": 9.5,
      "direct_sector_real_imag": [
        0.15006557696189318,
        0.16803051848950176
      ],
      "Fourier_sum_real_imag": [
        0.15006557696189357,
        0.16803051848950212
      ],
      "closed_formula_real_imag": [
        0.15006557696189374,
        0.16803051848950232
      ]
    },
    {
      "dimensionless_time_Jt": 9.600000000000001,
      "physical_time": 9.600000000000001,
      "direct_sector_real_imag": [
        0.14807370994841956,
        0.1931800626704334
      ],
      "Fourier_sum_real_imag": [
        0.14807370994841992,
        0.19318006267043372
      ],
      "closed_formula_real_imag": [
        0.14807370994841995,
        0.19318006267043392
      ]
    },
    {
      "dimensionless_time_Jt": 9.700000000000001,
      "physical_time": 9.700000000000001,
      "direct_sector_real_imag": [
        0.14267862211902452,
        0.2182585026852483
      ],
      "Fourier_sum_real_imag": [
        0.14267862211902485,
        0.21825850268524866
      ],
      "closed_formula_real_imag": [
        0.14267862211902502,
        0.21825850268524888
      ]
    },
    {
      "dimensionless_time_Jt": 9.8,
      "physical_time": 9.8,
      "direct_sector_real_imag": [
        0.1339110192749031,
        0.24281953037258155
      ],
      "Fourier_sum_real_imag": [
        0.13391101927490345,
        0.24281953037258186
      ],
      "closed_formula_real_imag": [
        0.13391101927490345,
        0.24281953037258205
      ]
    },
    {
      "dimensionless_time_Jt": 9.9,
      "physical_time": 9.9,
      "direct_sector_real_imag": [
        0.12185965327907161,
        0.2664245175007266
      ],
      "Fourier_sum_real_imag": [
        0.12185965327907196,
        0.26642451750072693
      ],
      "closed_formula_real_imag": [
        0.12185965327907186,
        0.26642451750072726
      ]
    },
    {
      "dimensionless_time_Jt": 10.0,
      "physical_time": 10.0,
      "direct_sector_real_imag": [
        0.10666982578774824,
        0.2886500277478741
      ],
      "Fourier_sum_real_imag": [
        0.10666982578774858,
        0.28865002774787446
      ],
      "closed_formula_real_imag": [
        0.10666982578774853,
        0.2886500277478746
      ]
    },
    {
      "dimensionless_time_Jt": 10.100000000000001,
      "physical_time": 10.100000000000001,
      "direct_sector_real_imag": [
        0.08854092423746136,
        0.30909506916214485
      ],
      "Fourier_sum_real_imag": [
        0.08854092423746172,
        0.30909506916214513
      ],
      "closed_formula_real_imag": [
        0.08854092423746163,
        0.3090950691621455
      ]
    },
    {
      "dimensionless_time_Jt": 10.200000000000001,
      "physical_time": 10.200000000000001,
      "direct_sector_real_imag": [
        0.06772303224101861,
        0.32738796300341777
      ],
      "Fourier_sum_real_imag": [
        0.06772303224101894,
        0.32738796300341805
      ],
      "closed_formula_real_imag": [
        0.06772303224101893,
        0.32738796300341827
      ]
    },
    {
      "dimensionless_time_Jt": 10.3,
      "physical_time": 10.3,
      "direct_sector_real_imag": [
        0.04451267238311978,
        0.34319271143282043
      ],
      "Fourier_sum_real_imag": [
        0.04451267238312011,
        0.3431927114328207
      ],
      "closed_formula_real_imag": [
        0.04451267238311994,
        0.34319271143282104
      ]
    },
    {
      "dimensionless_time_Jt": 10.4,
      "physical_time": 10.4,
      "direct_sector_real_imag": [
        0.019247754251799254,
        0.35621475509070283
      ],
      "Fourier_sum_real_imag": [
        0.01924775425179958,
        0.35621475509070316
      ],
      "closed_formula_real_imag": [
        0.019247754251799212,
        0.35621475509070333
      ]
    },
    {
      "dimensionless_time_Jt": 10.5,
      "physical_time": 10.5,
      "direct_sector_real_imag": [
        -0.007698185859019961,
        0.3662060220432704
      ],
      "Fourier_sum_real_imag": [
        -0.007698185859019643,
        0.3662060220432707
      ],
      "closed_formula_real_imag": [
        -0.007698185859019869,
        0.3662060220432708
      ]
    },
    {
      "dimensionless_time_Jt": 10.600000000000001,
      "physical_time": 10.600000000000001,
      "direct_sector_real_imag": [
        -0.0359223550204372,
        0.37296918170314486
      ],
      "Fourier_sum_real_imag": [
        -0.03592235502043705,
        0.3729691817031452
      ],
      "closed_formula_real_imag": [
        -0.0359223550204372,
        0.37296918170314525
      ]
    },
    {
      "dimensionless_time_Jt": 10.700000000000001,
      "physical_time": 10.700000000000001,
      "direct_sector_real_imag": [
        -0.06499957452375112,
        0.3763610309325057
      ],
      "Fourier_sum_real_imag": [
        -0.06499957452375096,
        0.37636103093250606
      ],
      "closed_formula_real_imag": [
        -0.06499957452375098,
        0.3763610309325063
      ]
    },
    {
      "dimensionless_time_Jt": 10.8,
      "physical_time": 10.8,
      "direct_sector_real_imag": [
        -0.09448953396182717,
        0.3762949543863696
      ],
      "Fourier_sum_real_imag": [
        -0.09448953396182704,
        0.37629495438636995
      ],
      "closed_formula_real_imag": [
        -0.09448953396182755,
        0.37629495438636995
      ]
    },
    {
      "dimensionless_time_Jt": 10.9,
      "physical_time": 10.9,
      "direct_sector_real_imag": [
        -0.12394430442118942,
        0.3727424169939046
      ],
      "Fourier_sum_real_imag": [
        -0.12394430442118928,
        0.3727424169939049
      ],
      "closed_formula_real_imag": [
        -0.12394430442118962,
        0.3727424169939049
      ]
    },
    {
      "dimensionless_time_Jt": 11.0,
      "physical_time": 11.0,
      "direct_sector_real_imag": [
        -0.15291598223572236,
        0.3657334630364304
      ],
      "Fourier_sum_real_imag": [
        -0.15291598223572211,
        0.36573346303643073
      ],
      "closed_formula_real_imag": [
        -0.1529159822357223,
        0.36573346303643073
      ]
    },
    {
      "dimensionless_time_Jt": 11.100000000000001,
      "physical_time": 11.100000000000001,
      "direct_sector_real_imag": [
        -0.18096433251877178,
        0.3553562132785327
      ],
      "Fourier_sum_real_imag": [
        -0.18096433251877161,
        0.35535621327853295
      ],
      "closed_formula_real_imag": [
        -0.1809643325187719,
        0.35535621327853295
      ]
    },
    {
      "dimensionless_time_Jt": 11.200000000000001,
      "physical_time": 11.200000000000001,
      "direct_sector_real_imag": [
        -0.20766430169415073,
        0.3417553687526906
      ],
      "Fourier_sum_real_imag": [
        -0.2076643016941506,
        0.34175536875269086
      ],
      "closed_formula_real_imag": [
        -0.20766430169415065,
        0.3417553687526908
      ]
    },
    {
      "dimensionless_time_Jt": 11.3,
      "physical_time": 11.3,
      "direct_sector_real_imag": [
        -0.23261327048801508,
        0.32512974679462936
      ],
      "Fourier_sum_real_imag": [
        -0.23261327048801483,
        0.3251297467946297
      ],
      "closed_formula_real_imag": [
        -0.23261327048801533,
        0.32512974679462936
      ]
    },
    {
      "dimensionless_time_Jt": 11.4,
      "physical_time": 11.4,
      "direct_sector_real_imag": [
        -0.2554379232844033,
        0.305728891485436
      ],
      "Fourier_sum_real_imag": [
        -0.25543792328440307,
        0.30572889148543636
      ],
      "closed_formula_real_imag": [
        -0.25543792328440346,
        0.30572889148543614
      ]
    },
    {
      "dimensionless_time_Jt": 11.5,
      "physical_time": 11.5,
      "direct_sector_real_imag": [
        -0.2758006163114879,
        0.2838488164939754
      ],
      "Fourier_sum_real_imag": [
        -0.27580061631148767,
        0.2838488164939757
      ],
      "closed_formula_real_imag": [
        -0.2758006163114878,
        0.28384881649397553
      ]
    },
    {
      "dimensionless_time_Jt": 11.600000000000001,
      "physical_time": 11.600000000000001,
      "direct_sector_real_imag": [
        -0.2934051357008961,
        0.25982695315833587
      ],
      "Fourier_sum_real_imag": [
        -0.29340513570089577,
        0.25982695315833626
      ],
      "closed_formula_real_imag": [
        -0.2934051357008959,
        0.25982695315833615
      ]
    },
    {
      "dimensionless_time_Jt": 11.700000000000001,
      "physical_time": 11.700000000000001,
      "direct_sector_real_imag": [
        -0.30800174690213167,
        0.2340363902438973
      ],
      "Fourier_sum_real_imag": [
        -0.30800174690213133,
        0.2340363902438977
      ],
      "closed_formula_real_imag": [
        -0.3080017469021313,
        0.23403639024389764
      ]
    },
    {
      "dimensionless_time_Jt": 11.8,
      "physical_time": 11.8,
      "direct_sector_real_imag": [
        -0.31939144905952344,
        0.20687950393544824
      ],
      "Fourier_sum_real_imag": [
        -0.31939144905952305,
        0.20687950393544866
      ],
      "closed_formula_real_imag": [
        -0.3193914490595233,
        0.2068795039354482
      ]
    },
    {
      "dimensionless_time_Jt": 11.9,
      "physical_time": 11.9,
      "direct_sector_real_imag": [
        -0.32742936156274693,
        0.17878108705425308
      ],
      "Fourier_sum_real_imag": [
        -0.32742936156274655,
        0.17878108705425344
      ],
      "closed_formula_real_imag": [
        -0.32742936156274666,
        0.1787810870542531
      ]
    },
    {
      "dimensionless_time_Jt": 12.0,
      "physical_time": 12.0,
      "direct_sector_real_imag": [
        -0.3320271848310858,
        0.15018109505948007
      ],
      "Fourier_sum_real_imag": [
        -0.3320271848310854,
        0.15018109505948044
      ],
      "closed_formula_real_imag": [
        -0.3320271848310854,
        0.1501810950594801
      ]
    }
  ]
}
