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        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 2610
      },
      "E_input_image": "3208",
      "vertical_residual": "0",
      "unique_required_MT_input": "3248",
      "typed_MT_input_records": [
        {
          "tradition": "MT",
          "gear": 2,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3248
        }
      ],
      "all_four_source_edges_pass": true,
      "Shem_J_edge_passes": true
    },
    {
      "row": 3,
      "tradition": "SP",
      "rail": "primary",
      "mode": "502/98",
      "Noah_record": {
        "tradition": "SP",
        "gear": 2,
        "role": "Noah birth",
        "rail": "primary",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3708
      },
      "next_Noah_record": {
        "tradition": "SP",
        "gear": 3,
        "role": "Noah birth",
        "rail": "primary",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3710
      },
      "Shem_input_record": {
        "tradition": "SP",
        "gear": 1,
        "role": "Shem birth",
        "rail": "primary",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3206
      },
      "Shem_output_record": {
        "tradition": "SP",
        "gear": 2,
        "role": "Shem birth",
        "rail": "primary",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3208
      },
      "Shem_death_pivot_record": {
        "tradition": "SP",
        "gear": 2,
        "role": "Shem death",
        "rail": "primary",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 2608
      },
      "E_input_image": "3208",
      "vertical_residual": "2",
      "unique_required_MT_input": "81154/25",
      "typed_MT_input_records": [],
      "all_four_source_edges_pass": false,
      "Shem_J_edge_passes": true
    },
    {
      "row": 3,
      "tradition": "SP",
      "rail": "companion",
      "mode": "500/100",
      "Noah_record": {
        "tradition": "SP",
        "gear": 2,
        "role": "Noah birth",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3707
      },
      "next_Noah_record": {
        "tradition": "SP",
        "gear": 3,
        "role": "Noah birth",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3709
      },
      "Shem_input_record": {
        "tradition": "SP",
        "gear": 2,
        "role": "Shem birth",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3207
      },
      "Shem_output_record": {
        "tradition": "SP",
        "gear": 3,
        "role": "Shem birth",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3209
      },
      "Shem_death_pivot_record": {
        "tradition": "SP",
        "gear": 3,
        "role": "Shem death",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 2609
      },
      "E_input_image": "73786/23",
      "vertical_residual": "25/23",
      "unique_required_MT_input": "3247",
      "typed_MT_input_records": [],
      "all_four_source_edges_pass": false,
      "Shem_J_edge_passes": true
    },
    {
      "row": 3,
      "tradition": "SP",
      "rail": "companion",
      "mode": "502/98",
      "Noah_record": {
        "tradition": "SP",
        "gear": 2,
        "role": "Noah birth",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3707
      },
      "next_Noah_record": {
        "tradition": "SP",
        "gear": 3,
        "role": "Noah birth",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3709
      },
      "Shem_input_record": {
        "tradition": "SP",
        "gear": 1,
        "role": "Shem birth",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3205
      },
      "Shem_output_record": {
        "tradition": "SP",
        "gear": 2,
        "role": "Shem birth",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3207
      },
      "Shem_death_pivot_record": {
        "tradition": "SP",
        "gear": 2,
        "role": "Shem death",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 2607
      },
      "E_input_image": "73786/23",
      "vertical_residual": "71/23",
      "unique_required_MT_input": "81129/25",
      "typed_MT_input_records": [],
      "all_four_source_edges_pass": false,
      "Shem_J_edge_passes": true
    },
    {
      "row": 3,
      "tradition": "LXX",
      "rail": null,
      "mode": "500/100",
      "Noah_record": {
        "tradition": "LXX",
        "gear": 2,
        "role": "Noah birth",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3708
      },
      "next_Noah_record": {
        "tradition": "LXX",
        "gear": 3,
        "role": "Noah birth",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3710
      },
      "Shem_input_record": {
        "tradition": "LXX",
        "gear": 2,
        "role": "Shem birth",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3208
      },
      "Shem_output_record": {
        "tradition": "LXX",
        "gear": 3,
        "role": "Shem birth",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3210
      },
      "Shem_death_pivot_record": {
        "tradition": "LXX",
        "gear": 3,
        "role": "Shem death",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 2610
      },
      "E_input_image": "3208",
      "vertical_residual": "0",
      "unique_required_MT_input": "3248",
      "typed_MT_input_records": [
        {
          "tradition": "MT",
          "gear": 2,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3248
        }
      ],
      "all_four_source_edges_pass": true,
      "Shem_J_edge_passes": true
    },
    {
      "row": 3,
      "tradition": "LXX",
      "rail": null,
      "mode": "502/98",
      "Noah_record": {
        "tradition": "LXX",
        "gear": 2,
        "role": "Noah birth",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3708
      },
      "next_Noah_record": {
        "tradition": "LXX",
        "gear": 3,
        "role": "Noah birth",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3710
      },
      "Shem_input_record": {
        "tradition": "LXX",
        "gear": 1,
        "role": "Shem birth",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3206
      },
      "Shem_output_record": {
        "tradition": "LXX",
        "gear": 2,
        "role": "Shem birth",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3208
      },
      "Shem_death_pivot_record": {
        "tradition": "LXX",
        "gear": 2,
        "role": "Shem death",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 2608
      },
      "E_input_image": "3208",
      "vertical_residual": "2",
      "unique_required_MT_input": "81154/25",
      "typed_MT_input_records": [],
      "all_four_source_edges_pass": false,
      "Shem_J_edge_passes": true
    }
  ],
  "unavailable_trials": [
    {
      "row": 0,
      "tradition": "SP",
      "rail": "primary",
      "mode": "502/98",
      "reason": "Would require unrecorded Gear0 Shem; no endpoint generated."
    },
    {
      "row": 0,
      "tradition": "SP",
      "rail": "companion",
      "mode": "502/98",
      "reason": "Would require unrecorded Gear0 Shem; no endpoint generated."
    },
    {
      "row": 0,
      "tradition": "LXX",
      "rail": null,
      "mode": "502/98",
      "reason": "Would require unrecorded Gear0 Shem; no endpoint generated."
    },
    {
      "row": 2,
      "tradition": "SP",
      "rail": "primary",
      "mode": "502/98",
      "reason": "Would require unrecorded Gear0 Shem; no endpoint generated."
    },
    {
      "row": 2,
      "tradition": "SP",
      "rail": "companion",
      "mode": "502/98",
      "reason": "Would require unrecorded Gear0 Shem; no endpoint generated."
    },
    {
      "row": 2,
      "tradition": "LXX",
      "rail": null,
      "mode": "502/98",
      "reason": "Would require unrecorded Gear0 Shem; no endpoint generated."
    }
  ],
  "counts": {
    "available_labelled_mode_trials": 18,
    "unavailable_Gear0_trials": 6,
    "complete_E_J_squares": 8,
    "valid_horizontal_Shem_J_edges": 18,
    "vertical_E_failures": 10
  },
  "residual_formula": "E image minus selected Shem birth = (25/23 if SP companion else0)+(2 if502/98 else0).",
  "interpretation": "The square realizes primary500/100 contexts; it does not invalidate the companion or502/98 source modes. All18 available Shem horizontal J edges remain exact. Vertical E fails in ten alternatives. No MT companion or Gear0 is supplied."
}