{
  "schema": "marici.strominger.polarization-reversal-transport.v1",
  "status": "passed",
  "scientific_disposition": "metric-induced seed polarization reversal swaps circular modes and preserves every polarization superposition norm",
  "mode_plane": {
    "embedding": [
      [
        "1",
        "0"
      ],
      [
        "-1",
        "0"
      ],
      [
        "1/2",
        "1/2"
      ],
      [
        "-1",
        "0"
      ],
      [
        "1",
        "0"
      ],
      [
        "-1/2",
        "-1/2"
      ]
    ],
    "metric": [
      [
        "3",
        "0"
      ],
      [
        "0",
        "1"
      ]
    ],
    "spectral_projector_formula": "P=(K^2+2K^3-K^5)/2",
    "dual_formula": "V=P^T U (U^T U)^-1",
    "riesz_formula": "W=V G",
    "duality": "V^T U=I; W^T U=G; K^T W=W T^-1"
  },
  "reversal": {
    "coordinate_map": [
      [
        "0",
        "-sqrt(3)/3"
      ],
      [
        "-sqrt(3)",
        "0"
      ]
    ],
    "orthonormal_frame": "q=sqrt(3)a, p=b",
    "jones_map": [
      [
        "0",
        "-1"
      ],
      [
        "-1",
        "0"
      ]
    ],
    "circular_basis": "x_plus=(1,i sqrt(3)), x_minus=(1,-i sqrt(3))",
    "circular_action": "x_plus -> -i x_minus; x_minus -> i x_plus",
    "stokes_convention": "S=(|q|^2+|p|^2, |q|^2-|p|^2, 2 Re(conj(q)p), 2 Im(conj(q)p))",
    "stokes_action": [
      "S0",
      "-S1",
      "S2",
      "-S3"
    ],
    "two_reversals": "identity"
  },
  "normalization": {
    "raw_riesz_map": "M=[[0,-1],[-3,0]]",
    "raw_pullback_metric": "M^T G M=3G",
    "normalized_map": "R=M/sqrt(3)",
    "meaning": "The positive factor is fixed by the existing source/target mode metric. Raw occurrence permutation alone is not this transport; the retained Riesz identification is essential."
  },
  "checks": {
    "0_0_spectral_projector": true,
    "0_0_dual_pairing": true,
    "0_0_left_inverse_phase": true,
    "0_0_target_plane_exact": true,
    "0_0_normalized_metric_isometry": true,
    "0_0_phase_intertwining": true,
    "0_0_involution": true,
    "0_0_same_polarization": true,
    "0_1_spectral_projector": true,
    "0_1_dual_pairing": true,
    "0_1_left_inverse_phase": true,
    "0_1_target_plane_exact": true,
    "0_1_normalized_metric_isometry": true,
    "0_1_phase_intertwining": true,
    "0_1_involution": true,
    "0_1_same_polarization": true,
    "1_0_spectral_projector": true,
    "1_0_dual_pairing": true,
    "1_0_left_inverse_phase": true,
    "1_0_target_plane_exact": true,
    "1_0_normalized_metric_isometry": true,
    "1_0_phase_intertwining": true,
    "1_0_involution": true,
    "1_0_circular_swap": true,
    "1_1_spectral_projector": true,
    "1_1_dual_pairing": true,
    "1_1_left_inverse_phase": true,
    "1_1_target_plane_exact": true,
    "1_1_normalized_metric_isometry": true,
    "1_1_phase_intertwining": true,
    "1_1_involution": true,
    "1_1_circular_swap": true,
    "2_0_spectral_projector": true,
    "2_0_dual_pairing": true,
    "2_0_left_inverse_phase": true,
    "2_0_target_plane_exact": true,
    "2_0_normalized_metric_isometry": true,
    "2_0_phase_intertwining": true,
    "2_0_involution": true,
    "2_0_same_polarization": true,
    "2_1_spectral_projector": true,
    "2_1_dual_pairing": true,
    "2_1_left_inverse_phase": true,
    "2_1_target_plane_exact": true,
    "2_1_normalized_metric_isometry": true,
    "2_1_phase_intertwining": true,
    "2_1_involution": true,
    "2_1_same_polarization": true,
    "3_0_spectral_projector": true,
    "3_0_dual_pairing": true,
    "3_0_left_inverse_phase": true,
    "3_0_target_plane_exact": true,
    "3_0_normalized_metric_isometry": true,
    "3_0_phase_intertwining": true,
    "3_0_involution": true,
    "3_0_circular_swap": true,
    "3_1_spectral_projector": true,
    "3_1_dual_pairing": true,
    "3_1_left_inverse_phase": true,
    "3_1_target_plane_exact": true,
    "3_1_normalized_metric_isometry": true,
    "3_1_phase_intertwining": true,
    "3_1_involution": true,
    "3_1_circular_swap": true,
    "4_0_spectral_projector": true,
    "4_0_dual_pairing": true,
    "4_0_left_inverse_phase": true,
    "4_0_target_plane_exact": true,
    "4_0_normalized_metric_isometry": true,
    "4_0_phase_intertwining": true,
    "4_0_involution": true,
    "4_0_same_polarization": true,
    "4_1_spectral_projector": true,
    "4_1_dual_pairing": true,
    "4_1_left_inverse_phase": true,
    "4_1_target_plane_exact": true,
    "4_1_normalized_metric_isometry": true,
    "4_1_phase_intertwining": true,
    "4_1_involution": true,
    "4_1_same_polarization": true,
    "5_0_spectral_projector": true,
    "5_0_dual_pairing": true,
    "5_0_left_inverse_phase": true,
    "5_0_target_plane_exact": true,
    "5_0_normalized_metric_isometry": true,
    "5_0_phase_intertwining": true,
    "5_0_involution": true,
    "5_0_circular_swap": true,
    "5_1_spectral_projector": true,
    "5_1_dual_pairing": true,
    "5_1_left_inverse_phase": true,
    "5_1_target_plane_exact": true,
    "5_1_normalized_metric_isometry": true,
    "5_1_phase_intertwining": true,
    "5_1_involution": true,
    "5_1_circular_swap": true,
    "6_0_spectral_projector": true,
    "6_0_dual_pairing": true,
    "6_0_left_inverse_phase": true,
    "6_0_target_plane_exact": true,
    "6_0_normalized_metric_isometry": true,
    "6_0_phase_intertwining": true,
    "6_0_involution": true,
    "6_0_same_polarization": true,
    "6_1_spectral_projector": true,
    "6_1_dual_pairing": true,
    "6_1_left_inverse_phase": true,
    "6_1_target_plane_exact": true,
    "6_1_normalized_metric_isometry": true,
    "6_1_phase_intertwining": true,
    "6_1_involution": true,
    "6_1_same_polarization": true,
    "7_0_spectral_projector": true,
    "7_0_dual_pairing": true,
    "7_0_left_inverse_phase": true,
    "7_0_target_plane_exact": true,
    "7_0_normalized_metric_isometry": true,
    "7_0_phase_intertwining": true,
    "7_0_involution": true,
    "7_0_circular_swap": true,
    "7_1_spectral_projector": true,
    "7_1_dual_pairing": true,
    "7_1_left_inverse_phase": true,
    "7_1_target_plane_exact": true,
    "7_1_normalized_metric_isometry": true,
    "7_1_phase_intertwining": true,
    "7_1_involution": true,
    "7_1_circular_swap": true,
    "8_0_spectral_projector": true,
    "8_0_dual_pairing": true,
    "8_0_left_inverse_phase": true,
    "8_0_target_plane_exact": true,
    "8_0_normalized_metric_isometry": true,
    "8_0_phase_intertwining": true,
    "8_0_involution": true,
    "8_0_same_polarization": true,
    "8_1_spectral_projector": true,
    "8_1_dual_pairing": true,
    "8_1_left_inverse_phase": true,
    "8_1_target_plane_exact": true,
    "8_1_normalized_metric_isometry": true,
    "8_1_phase_intertwining": true,
    "8_1_involution": true,
    "8_1_same_polarization": true,
    "9_0_spectral_projector": true,
    "9_0_dual_pairing": true,
    "9_0_left_inverse_phase": true,
    "9_0_target_plane_exact": true,
    "9_0_normalized_metric_isometry": true,
    "9_0_phase_intertwining": true,
    "9_0_involution": true,
    "9_0_circular_swap": true,
    "9_1_spectral_projector": true,
    "9_1_dual_pairing": true,
    "9_1_left_inverse_phase": true,
    "9_1_target_plane_exact": true,
    "9_1_normalized_metric_isometry": true,
    "9_1_phase_intertwining": true,
    "9_1_involution": true,
    "9_1_circular_swap": true,
    "arbitrary_complex_polarization_stokes": true,
    "twenty_output_maps_checked": true,
    "positive_metric_normalization_not_fitted": true
  },
  "check_count": 163,
  "maps": [
    {
      "meeting_labels": [
        "A",
        "C"
      ],
      "rule": "compose_first_two",
      "source_output": 0,
      "target_output": 0,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "A",
        "C"
      ],
      "rule": "compose_first_two",
      "source_output": 1,
      "target_output": 1,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "A",
        "C"
      ],
      "rule": "compose_last_two",
      "source_output": 0,
      "target_output": 1,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "A",
        "C"
      ],
      "rule": "compose_last_two",
      "source_output": 1,
      "target_output": 0,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "A",
        "D"
      ],
      "rule": "compose_first_two",
      "source_output": 0,
      "target_output": 1,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "A",
        "D"
      ],
      "rule": "compose_first_two",
      "source_output": 1,
      "target_output": 0,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "A",
        "D"
      ],
      "rule": "compose_last_two",
      "source_output": 0,
      "target_output": 0,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "A",
        "D"
      ],
      "rule": "compose_last_two",
      "source_output": 1,
      "target_output": 1,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "B",
        "D"
      ],
      "rule": "compose_first_two",
      "source_output": 0,
      "target_output": 0,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "B",
        "D"
      ],
      "rule": "compose_first_two",
      "source_output": 1,
      "target_output": 1,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "B",
        "D"
      ],
      "rule": "compose_last_two",
      "source_output": 0,
      "target_output": 1,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "B",
        "D"
      ],
      "rule": "compose_last_two",
      "source_output": 1,
      "target_output": 0,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "B",
        "E"
      ],
      "rule": "compose_first_two",
      "source_output": 0,
      "target_output": 1,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "B",
        "E"
      ],
      "rule": "compose_first_two",
      "source_output": 1,
      "target_output": 0,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "B",
        "E"
      ],
      "rule": "compose_last_two",
      "source_output": 0,
      "target_output": 0,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "B",
        "E"
      ],
      "rule": "compose_last_two",
      "source_output": 1,
      "target_output": 1,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "C",
        "E"
      ],
      "rule": "compose_first_two",
      "source_output": 0,
      "target_output": 0,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "C",
        "E"
      ],
      "rule": "compose_first_two",
      "source_output": 1,
      "target_output": 1,
      "reverse": false,
      "raw_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "raw_metric_scale": "1",
      "positive_normalization": "1",
      "normalized_coordinate_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "jones_map": [
        [
          "1",
          "0"
        ],
        [
          "0",
          "1"
        ]
      ],
      "phase_map": "unchanged",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "C",
        "E"
      ],
      "rule": "compose_last_two",
      "source_output": 0,
      "target_output": 1,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    },
    {
      "meeting_labels": [
        "C",
        "E"
      ],
      "rule": "compose_last_two",
      "source_output": 1,
      "target_output": 0,
      "reverse": true,
      "raw_coordinate_map": [
        [
          "0",
          "-1"
        ],
        [
          "-3",
          "0"
        ]
      ],
      "raw_metric_scale": "3",
      "positive_normalization": "sqrt(3)/3",
      "normalized_coordinate_map": [
        [
          "0",
          "-sqrt(3)/3"
        ],
        [
          "-sqrt(3)",
          "0"
        ]
      ],
      "jones_map": [
        [
          "0",
          "-1"
        ],
        [
          "-1",
          "0"
        ]
      ],
      "phase_map": "omega <-> conjugate(omega)",
      "source_projector": [
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "-1/2",
          "-1/2",
          "1/2",
          "1/2",
          "1/2",
          "-1/2"
        ],
        [
          "0",
          "1/2",
          "0",
          "0",
          "-1/2",
          "0"
        ],
        [
          "0",
          "-1/2",
          "0",
          "0",
          "1/2",
          "0"
        ],
        [
          "1/2",
          "1/2",
          "-1/2",
          "-1/2",
          "-1/2",
          "1/2"
        ]
      ],
      "dual_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-1/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "1/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ],
      "riesz_embedding": [
        [
          "0",
          "-1"
        ],
        [
          "-3/2",
          "-1/2"
        ],
        [
          "0",
          "1"
        ],
        [
          "0",
          "1"
        ],
        [
          "3/2",
          "1/2"
        ],
        [
          "0",
          "-1"
        ]
      ]
    }
  ],
  "scope": "Exact polarization of the previously constructed two-dimensional seed mode plane; the new result is its mode transport, not a spacetime dynamics or emission rate calculation.",
  "source_hashes": {
    "research/strominger/checkers/check_polarization_reversal_transport.py": "f6b78f7af8591914399153889d88c1f447c737650d4b31a13c11de4daf726dd2",
    "research/strominger/results/two_output_comparison_promotion.json": "3634436f3be5a5ff7da3b2c766d3cd6357f7989019c1f4be86429a7768c9f1c3",
    "research/strominger/results/two_output_cut_independence.json": "9d17e4929d7dd17a13e2959a71be8b36c013f18710658e3934780466c551f4a2",
    "research/nima/results/photon-two-packet-candidate.json": "9847f001c6c5236b7da6db889b35095cc64f16b07eaa8b496919206d89caf290"
  }
}
