# C897 — Recover the full terminal carrier branch

## Question

How do the144900 branch outputs and gains fit one Key family?

## Inputs

```json
{}
```

## Sources

```json
[
  "File63 §7.8.2"
]
```

## Opened utc

2026-09-28T02:52:51.567003+00:00

## Results

```json
{
  "input": 144900,
  "P": 147000,
  "E": 157500,
  "gains": {
    "P": 2100,
    "E": 12600,
    "output_gap": 10500
  },
  "artifact": {
    "path": "model/terminal_carrier_branch.json",
    "sha256": "866fcc58d1e8ed8a8bde2ff8571cb8181004b7caafd4e3d320c80070bbf78f53",
    "bytes": 314
  }
}
```

## Finding

144900=900×161 maps to147000=1000×147 under P and157500=900×175 under E. The gains and output gap are2100×(1,6,5). Their lifespan interpretation remains source-supplied.

## Reassessment

Test whether the retained147-year terminal biography is the uniform P image of its original interval.

## Checks

```json
{
  "literal_outputs": true,
  "gain_ratio": true
}
```

## Closed utc

2026-09-28T02:52:51.568194+00:00

## Record provenance

Exact record hash: `a440c794fb4354d12b16abcea2a9179c5d70d7873b58fac725b6138e56793c8e`

Source journal: `Research_Cycles/C0832_C0931/journal.json`