# C577 — Connect480483490 through composite factors

## Question

Which effective ratios summarize the declared two-stage carrier routes?

## Inputs

```json
{
  "carrier_ratio": "161/160",
  "base": 480
}
```

## Sources

```json
[
  "File63 §1.3; C576"
]
```

## Opened utc

2026-09-28T00:18:35.885517+00:00

## Results

```json
{
  "effective_P_E_factors": [
    "49/48",
    "35/32"
  ],
  "carrier_P_E_outputs": [
    483,
    490,
    525
  ]
}
```

## Finding

The source carrier replacement followed by P gives49/48 overall, taking480→483→490. With E it gives35/32 and525. These summarize ordered admitted operations; they do not add universal Keys.

## Reassessment

Test whether one translated cell reconstructs the Creation-to-Temple family.

## Checks

```json
{
  "factors": true,
  "outputs": true
}
```

## Closed utc

2026-09-28T00:18:35.885769+00:00

## Record provenance

Exact record hash: `88cd9b5dc99850ab05d347caeb766fe8c88ff162b69afdff3eeba24b96f7d915`

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