# C539 — The three147 rails form a translated object

## Question

Do the three direct147 rails share an endpoint-by-endpoint reconstruction?

## Inputs

```json
{
  "pairs": [
    [
      1851,
      1704
    ],
    [
      1791,
      1644
    ],
    [
      1714,
      1567
    ]
  ],
  "roles": [
    "Isaac birth/Levi birth",
    "Jacob birth/death",
    "Jacob call/Levi death"
  ]
}
```

## Sources

```json
[
  "File60 §§2.3–2.4"
]
```

## Opened utc

2026-09-28T00:01:12.083867+00:00

## Results

```json
{
  "widths": [
    147,
    147,
    147
  ],
  "translations": [
    [
      60,
      60
    ],
    [
      77,
      77
    ]
  ],
  "outer_translation": [
    137,
    137
  ],
  "overlapping_gap_sequence": [
    77,
    70,
    77
  ]
}
```

## Finding

The whole first pair translates by−60 and then−77. Equal widths follow from these paired translations; the77|70|77 ordering generates the two overlapping147 windows. The central70 remains the separate call-to-death unit.

## Reassessment

Place Joseph’s double147 in the same ordered chain and identify the extra endpoint placement.

## Checks

```json
{
  "widths": true,
  "translations": true,
  "overlap": true
}
```

## Closed utc

2026-09-28T00:01:12.084062+00:00

## Record provenance

Exact record hash: `1412907c555ff5bc0d75ede1ba943d0aa2dfa1458938fd3c17f8f9e79c1e72a0`

Source journal: `Research_Cycles/C0532_C0631/journal.json`