# C1183 — Expose the extra premise in the four-amplitude model

## Question

What is lost when Eber40 and Nahor60 are tied to the century100?

## Inputs

```json
{
  "relation": "e+n=u"
}
```

## Sources

```json
[
  "C1182",
  "C1154"
]
```

## Opened utc

2026-09-28T05:21:02.832105+00:00

## Results

```json
{
  "model": {
    "path": "model/whole_genealogy_four_model.json",
    "sha256": "db6857df003663117809841c614779640cb386f165c4c8281cc8c8f03d5f8595",
    "bytes": 2952
  },
  "rank5_to_rank4": [
    5,
    4
  ]
}
```

## Finding

The four-amplitude form is exact only after adding the fitted relation40+60=100. It is a useful compression, but not an independent derivation of these source numerals.

## Reassessment

Find a small transparent observation set that recovers the five coefficients without totals.

## Checks

```json
{
  "rank4": true,
  "same_outputs": true,
  "substitution_injective": true
}
```

## Closed utc

2026-09-28T05:21:02.839998+00:00

## Record provenance

Exact record hash: `18b41b6eba02e1ee89dfcffeff38abcad5434e74bbf1d49b0954edeffc1c1c76`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`