{
  "completed_component": "Classification of a failed whole-state Newton directional gate",
  "parent": "20261002T234018225776Z-E04-full-jacobian-audit",
  "parent_manifest_sha256": "46143c5b84290692e086105300424e86dc6f6c773f6bee4c5af997f55bb85604",
  "full_jacobian_accepted": false,
  "endpoint_available": false,
  "remaining": [
    "Resolve every failed or precision-limited block",
    "Validate excluded nonsmooth coordinates and all branch routing",
    "Independent full coupled review before corrected trajectory"
  ],
  "full_state_size": 35675,
  "potential_block_coefficients": 2674375,
  "earlier_coverage": "252 local hydro/paired-composition comparisons are dependent directional combinations, not 252 independently certified full-matrix coefficients.",
  "directions": [
    {
      "direction": 1,
      "name": "lnd",
      "failed": 258,
      "stable_mismatch": 125,
      "reference_unresolved": 133,
      "support_dependent": 0,
      "stable_wrong_sign": 9,
      "branch_admissible_fraction": 0.9943938332165382,
      "nonzero_coordinate_fraction": 0.04,
      "raw_representation_warning_count": 0,
      "block_counts": {
        "equL": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "dv_dt": {
          "failed": 25,
          "stable_mismatch": 0,
          "reference_unresolved": 25,
          "support_dependent": 0
        },
        "dlnd_dt": {
          "failed": 105,
          "stable_mismatch": 0,
          "reference_unresolved": 105,
          "support_dependent": 0
        },
        "dlnE_dt": {
          "failed": 1,
          "stable_mismatch": 1,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_cr56": {
          "failed": 9,
          "stable_mismatch": 9,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_fe56": {
          "failed": 52,
          "stable_mismatch": 52,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_ni56": {
          "failed": 63,
          "stable_mismatch": 63,
          "reference_unresolved": 0,
          "support_dependent": 0
        }
      }
    },
    {
      "direction": 2,
      "name": "lnT",
      "failed": 45,
      "stable_mismatch": 42,
      "reference_unresolved": 3,
      "support_dependent": 0,
      "stable_wrong_sign": 0,
      "branch_admissible_fraction": 0.9908899789768746,
      "nonzero_coordinate_fraction": 0.04,
      "raw_representation_warning_count": 0,
      "block_counts": {
        "equL": {
          "failed": 2,
          "stable_mismatch": 0,
          "reference_unresolved": 2,
          "support_dependent": 0
        },
        "dv_dt": {
          "failed": 1,
          "stable_mismatch": 0,
          "reference_unresolved": 1,
          "support_dependent": 0
        },
        "equ_fe56": {
          "failed": 13,
          "stable_mismatch": 13,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_ni56": {
          "failed": 29,
          "stable_mismatch": 29,
          "reference_unresolved": 0,
          "support_dependent": 0
        }
      }
    },
    {
      "direction": 3,
      "name": "lnR",
      "failed": 28,
      "stable_mismatch": 0,
      "reference_unresolved": 28,
      "support_dependent": 0,
      "stable_wrong_sign": 0,
      "branch_admissible_fraction": 1.0,
      "nonzero_coordinate_fraction": 0.04,
      "raw_representation_warning_count": 0,
      "block_counts": {
        "equ_mg24": {
          "failed": 2,
          "stable_mismatch": 0,
          "reference_unresolved": 2,
          "support_dependent": 0
        },
        "equ_si28": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_s32": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_ar36": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_ca40": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_cr48": {
          "failed": 2,
          "stable_mismatch": 0,
          "reference_unresolved": 2,
          "support_dependent": 0
        },
        "equ_fe52": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_fe54": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_fe56": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_ni56": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        }
      }
    },
    {
      "direction": 4,
      "name": "L",
      "failed": 28,
      "stable_mismatch": 0,
      "reference_unresolved": 28,
      "support_dependent": 0,
      "stable_wrong_sign": 0,
      "branch_admissible_fraction": 0.9922915206727401,
      "nonzero_coordinate_fraction": 0.04,
      "raw_representation_warning_count": 0,
      "block_counts": {
        "equ_mg24": {
          "failed": 2,
          "stable_mismatch": 0,
          "reference_unresolved": 2,
          "support_dependent": 0
        },
        "equ_si28": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_s32": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_ar36": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_ca40": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_cr48": {
          "failed": 2,
          "stable_mismatch": 0,
          "reference_unresolved": 2,
          "support_dependent": 0
        },
        "equ_fe52": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_fe54": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_fe56": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "equ_ni56": {
          "failed": 3,
          "stable_mismatch": 0,
          "reference_unresolved": 3,
          "support_dependent": 0
        }
      }
    },
    {
      "direction": 5,
      "name": "composition",
      "failed": 2319,
      "stable_mismatch": 1758,
      "reference_unresolved": 561,
      "support_dependent": 0,
      "stable_wrong_sign": 1210,
      "branch_admissible_fraction": 0.7428170988086895,
      "nonzero_coordinate_fraction": 0.8100630693763139,
      "raw_representation_warning_count": 449,
      "block_counts": {
        "equL": {
          "failed": 999,
          "stable_mismatch": 769,
          "reference_unresolved": 230,
          "support_dependent": 0
        },
        "dv_dt": {
          "failed": 533,
          "stable_mismatch": 209,
          "reference_unresolved": 324,
          "support_dependent": 0
        },
        "dlnE_dt": {
          "failed": 527,
          "stable_mismatch": 520,
          "reference_unresolved": 7,
          "support_dependent": 0
        },
        "equ_prot": {
          "failed": 22,
          "stable_mismatch": 22,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_he4": {
          "failed": 24,
          "stable_mismatch": 24,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_c12": {
          "failed": 4,
          "stable_mismatch": 4,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_o16": {
          "failed": 12,
          "stable_mismatch": 12,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_ne20": {
          "failed": 14,
          "stable_mismatch": 14,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_mg24": {
          "failed": 24,
          "stable_mismatch": 24,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_si28": {
          "failed": 23,
          "stable_mismatch": 23,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_s32": {
          "failed": 23,
          "stable_mismatch": 23,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_ar36": {
          "failed": 23,
          "stable_mismatch": 23,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_ca40": {
          "failed": 22,
          "stable_mismatch": 22,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_ti44": {
          "failed": 23,
          "stable_mismatch": 23,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_cr48": {
          "failed": 11,
          "stable_mismatch": 11,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_fe52": {
          "failed": 2,
          "stable_mismatch": 2,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_fe54": {
          "failed": 9,
          "stable_mismatch": 9,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_ni56": {
          "failed": 24,
          "stable_mismatch": 24,
          "reference_unresolved": 0,
          "support_dependent": 0
        }
      }
    },
    {
      "direction": 6,
      "name": "combined",
      "failed": 1580,
      "stable_mismatch": 1570,
      "reference_unresolved": 9,
      "support_dependent": 1,
      "stable_wrong_sign": 3,
      "branch_admissible_fraction": 0.7386124737210932,
      "nonzero_coordinate_fraction": 0.9700630693763139,
      "raw_representation_warning_count": 449,
      "block_counts": {
        "equL": {
          "failed": 713,
          "stable_mismatch": 706,
          "reference_unresolved": 6,
          "support_dependent": 1
        },
        "dv_dt": {
          "failed": 515,
          "stable_mismatch": 512,
          "reference_unresolved": 3,
          "support_dependent": 0
        },
        "dlnE_dt": {
          "failed": 332,
          "stable_mismatch": 332,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_ti44": {
          "failed": 1,
          "stable_mismatch": 1,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_cr56": {
          "failed": 2,
          "stable_mismatch": 2,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_fe56": {
          "failed": 5,
          "stable_mismatch": 5,
          "reference_unresolved": 0,
          "support_dependent": 0
        },
        "equ_ni56": {
          "failed": 12,
          "stable_mismatch": 12,
          "reference_unresolved": 0,
          "support_dependent": 0
        }
      }
    }
  ],
  "stable_wrong_sign_count": 1222,
  "EOS_active_cell_counts": {
    "OPAL_SCVH": 0,
    "HELM": 0,
    "Skye": 895,
    "PC": 0,
    "FreeEOS": 540,
    "CMS": 0,
    "ideal": 0
  },
  "raw_representation_warning": "raw+h*v==raw at finest h is a warning, not an exact solver_dx routing certificate; all such coordinates remain unvalidated. No zero/very-small direction implies full coordinate coverage.",
  "completeness": "Six directions cannot establish all matrix coefficients. Branch exclusions cover each changed cell and its neighbors; unrecorded internal smoothness switches also remain outside certification."
}