# C1439 — Reconstruct LXX residual at component level

## Question

Which component prevents LXX Regular/Cumulative convergence?

## Sources

```json
[
  "Comparative Study §3"
]
```

## Opened utc

2026-09-29T01:13:03.456564+00:00

## Results

```json
{
  "source_mode_gap": 9410,
  "reversed_component_differences": [
    530,
    -30
  ],
  "head_gap": 500,
  "gain_regular": 4950,
  "gain_cumulative": -3960
}
```

## Finding

The LXX lower-leg difference530 is only offset by30 in the upper leg, leaving the known500-year residual.

## Reassessment

Test the accepted SP state without changing its Fall choice.

## Checks

```json
{
  "residual500": true
}
```

## Closed utc

2026-09-29T01:13:03.456689+00:00

## Record provenance

Exact record hash: `13307a5f832b1e7940c65524ab8946167c6a9d34c79a70e0487b961856104bda`

Source journal: `Research_Cycles/C1433_C1482/journal.json`