# C546 — The3430 leg links the Covenant and rounded studies

## Question

Can the shared3430 duration be reconstructed from the cumulative lifespan trunk?

## Inputs

```json
{
  "upper_Actual_Flood": 4836,
  "Actual_cumulative_Abraham": 2435,
  "Conquest": 1406,
  "lifespans": [
    175,
    180,
    147,
    137,
    133,
    137,
    120
  ],
  "Rounded_Flood_label": 4836
}
```

## Sources

```json
[
  "File60 §9.5; File51a §16.2; File52c §3.3"
]
```

## Opened utc

2026-09-28T00:04:54.334242+00:00

## Results

```json
{
  "lifespan_sum": 1029,
  "outer_partition": [
    2401,
    1029
  ],
  "total": 3430,
  "factorizations": [
    "2401=49²",
    "1029=7×147",
    "3430=70×49"
  ],
  "shared_label_note": "Actual upper-envelope Flood and Rounded Moses-line Flood share4836; they remain distinct source states"
}
```

## Finding

The1029 lower leg is regenerated by the seven lifespans; together with the supplied upper2401 it gives3430. This explains a source-level interface with the rounded primary path’s unchanged3430 leg. It does not license inserting Actual Abraham as a new rounded reversal breakpoint.

## Reassessment

Reconstruct the repeated270 Levitical windows before examining their census comparison.

## Checks

```json
{
  "lifespans": true,
  "partition": true,
  "total": true
}
```

## Closed utc

2026-09-28T00:04:54.334412+00:00

## Record provenance

Exact record hash: `3458175c77199db5f24672fcab7d489fa51a1cbc5e161c710b618d4caa4fac88`

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