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C756 — Transfer the cumulative residual field to LXX

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Study sequence: Rounded residual fields and counting (C749–C771) · Rounded chronology

C756 — Transfer the cumulative residual field to LXX

Question

Which changed rows explain every LXX-versus-MT rounding difference?

Inputs

{}

Sources

[
  "File18 LXX main rows; File51a rounding rule"
]

Opened utc

2026-09-28T01:54:26.912804+00:00

Results

{
  "fields": {
    "path": "model/all_rounding_fields.json",
    "sha256": "6ce58f06e5687e621578a52663a0d6f32b50d3b1cd1ad74ff2cc4225a359c6fe",
    "bytes": 7609
  },
  "row_support": {
    "Lamech": 4,
    "Arphaxad": -2,
    "Shelah": -2
  },
  "nonzero_boundary_differences": {
    "Noah": -4,
    "Shem": -4,
    "Arphaxad": -4,
    "Shelah": -2
  }
}

Finding

Three LXX residual changes generate the complete comparison: Lamech+4, Arphaxad−2, Shelah−2. Their total cancels, but the Noah–Arphaxad plateau changes−4 and Shelah−2.

Reassessment

Test SP support and explain its changed head residual.

Checks

{
  "support": true,
  "Cainan_zero": true,
  "head_cancellation": true
}

Closed utc

2026-09-28T01:55:00.997945+00:00

Record provenance

Exact record hash: 95754f018c38b8c8d789bc6f0a9e99c8b51be630e86637c2c458e77284441cb6

Source journal: Research_Cycles/C0732_C0831/journal.json

Linked sources and evidence

Edition and provenance

C756.md

SHA-256 14be3283de59d773247c37812af336aa2b525ba0062f07ef73bd140793aadce5

C480–C1634/Research_Cycles/C0732_C0831/journal.json#C756