{
  "variable_order": [
    "f",
    "h",
    "alpha",
    "beta"
  ],
  "transport_equations": [
    "alpha=f-8993",
    "beta=8993-h"
  ],
  "source_only": {
    "augmented_rows": [
      [
        -1,
        0,
        1,
        0,
        -8993
      ],
      [
        0,
        1,
        0,
        1,
        8993
      ]
    ],
    "rank": 2,
    "degrees_of_freedom": 2,
    "rref": [
      [
        "1",
        "0",
        "-1",
        "0",
        "8993"
      ],
      [
        "0",
        "1",
        "0",
        "1",
        "8993"
      ]
    ],
    "null_basis": [
      [
        1,
        0,
        1,
        0
      ],
      [
        0,
        1,
        0,
        -1
      ]
    ],
    "delta_determined": false
  },
  "with_explicit_alignment_X": {
    "condition": "H(S)=F(I)",
    "additional_augmented_row": [
      -1,
      1,
      0,
      0,
      598
    ],
    "rank": 3,
    "degrees_of_freedom": 1,
    "rref": [
      [
        "1",
        "0",
        "0",
        "1",
        "8395"
      ],
      [
        "0",
        "1",
        "0",
        "1",
        "8993"
      ],
      [
        "0",
        "0",
        "1",
        "1",
        "-598"
      ]
    ],
    "null_basis": [
      [
        1,
        1,
        1,
        -1
      ]
    ],
    "delta": 598,
    "f_remains_free": true
  },
  "reference_only": {
    "original_C270_vector": [
      "5290",
      "5888",
      "-3703",
      "3105"
    ],
    "not_imposed_in_source_only_solve": true
  },
  "MT_join_not_imposed": "2m+delta=11178; the old2m=10580 already substitutes delta598",
  "parameter_policy": "formalQ; integer translations for inherited annual-center phase labels"
}