# C1553 — Connect LXX refinement to completion

## Question

Does the LXX full-refinement gain equal its original Nativity-stage change?

## Sources

```json
[]
```

## Opened utc

2026-09-29T02:38:54.153489+00:00

## Results

```json
{
  "refined_held_path": [
    1406,
    5746,
    6346,
    6936,
    13636
  ],
  "primary_completed_path": [
    6,
    4106,
    8446,
    13636
  ],
  "refinement_gain": 2700,
  "stage_gain": 2700,
  "common_head": 13636
}
```

## Finding

Both routes reach13636: the LXX upper refinement gains2700, exactly matching4100−1400 from the Nativity extension.

## Reassessment

Test the same equality inMT andSP to identify the actual family scope.

## Checks

```json
{}
```

## Closed utc

2026-09-29T02:38:54.155427+00:00

## Record provenance

Exact record hash: `a27f47359f0818467961b69c409c69f0c3e9f4b4f6c649d21aa6d70b5cdfba7f`

Source journal: `Research_Cycles/C1483_C1582/c1483_c1582/journal.json`