# C517 — A genuine junction with the restored Cainan companion

## Question

What extra constraint links the transformed trio to the separately supplied Cainan row?

## Inputs

```json
{
  "Cainan_birth": 2551,
  "Cainan_begetting": 2421,
  "Cainan_death": 2091,
  "generated_Mahalalel": 601,
  "reflected_generated_Shelah_AD": 1351
}
```

## Sources

```json
[
  "File52c §3.12; companion outside frozen MT manifest"
]
```

## Opened utc

2026-09-27T22:49:30.041114+00:00

## Results

```json
{
  "rounded_q": [
    -2550,
    -600,
    1350
  ],
  "adjacent_widths": [
    1950,
    1950
  ],
  "linear_constraint": "2551=2*601+1351−2",
  "Cainan_row_parts": [
    130,
    330
  ],
  "civil_second_width": 1951
}
```

## Finding

The separately supplied Cainan birth lies1950 before generated601, which lies1950 before reflectedAD1351 in rounded coordinates. This adds an actual placement constraint beyond the trio’s affine ratio preservation. The companion remains a local comparison, not a re-dating of the frozen MT chain.

## Reassessment

Relate the330 remainder to both the cross-mode Cainan bridge and the trio’s width.

## Checks

```json
{
  "midpoint": true,
  "widths": true,
  "row": true
}
```

## Closed utc

2026-09-27T22:49:30.041367+00:00

## Record provenance

Exact record hash: `0aac0d5359a988bf6b98ea4c34c2cef80efb750df1c267cd0803abe5d339a944`

Source journal: `Research_Cycles/C0482_C0531/journal.json`