# C857 — Test complete coverage and the affine obstruction

## Question

Can the two original endpoint columns be related by one global affine map?

## Inputs

```json
{}
```

## Sources

```json
[
  "C852–856"
]
```

## Opened utc

2026-09-28T02:37:32.826457+00:00

## Results

```json
{
  "forced_affine": {
    "slope": 1,
    "shift": 990,
    "defining_sources": [
      "Seth",
      "Enosh"
    ]
  },
  "counterexample": {
    "source": "Lamech",
    "predicted": 4226,
    "actual": 5216
  },
  "coverage": 32
}
```

## Finding

Two distinct990-gap rows force a translation by990, which fails on the1980 branch. The digit-register model covers the complete manifest where a single affine column map cannot.

## Reassessment

Integrate the gain field with the source-path model without conflating it with rounding.

## Checks

```json
{
  "complete_once": true,
  "affine_fails": true,
  "forced_translation": true
}
```

## Closed utc

2026-09-28T02:37:32.826965+00:00

## Record provenance

Exact record hash: `7cf2e86978f10dba3e04a904b127c14515f82451a4f49418bdd91894a44e7ca1`

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