{
  "wave_numbers": [
    11,
    12,
    13,
    14,
    15,
    16,
    17,
    18,
    19
  ],
  "amplitudes": [
    0.04005057329740832,
    0.08254003792691415,
    0.13835355608461306,
    0.18861912399373662,
    0.2091466226833607,
    0.18861912399373662,
    0.13835355608461306,
    0.08254003792691415,
    0.04005057329740832
  ],
  "initial_phases": [
    0.8320000000000001,
    0.5760000000000001,
    0.30400000000000005,
    0.08800000000000001,
    0.0,
    0.112,
    0.496,
    1.2240000000000002,
    2.3680000000000003
  ],
  "exactly_nine_modes": true,
  "max_direct_sum_error": 5.402801278774216e-15,
  "max_envelope_error": 4.701100619897147e-15,
  "common_wave_number_shift": 8,
  "envelope_change_from_original": 4.440892098500626e-16,
  "max_projected_addition_error_pixels": 7.389644451905042e-13,
  "max_outline_sampling_excess_pixels": 0.6176600481275045,
  "phase_turns": 5,
  "duration": 18.0,
  "fps": 30,
  "frames": 540,
  "size": [
    1440,
    1080
  ],
  "no_curve_markers": true,
  "camera_is_fixed": true,
  "projection": {
    "transverse_rotation_degrees": 25,
    "depth_scale": 0.3
  },
  "common_amplitude_pixels_per_unit": 110.0,
  "common_x_plot_width": 550.0,
  "envelope": "Projected outer boundary of stationary surface of revolution with exact radius |sum of nine complex modes|; no internal grid.",
  "interpretation": "Common phase parameter, not physical time evolution; one period of a finite Fourier sum."
}