# C575 — Compress Key gains and day volumes

## Question

Which apparent agreements follow automatically from the897 normal form?

## Inputs

```json
{
  "input": 897,
  "outputs": [
    900,
    910,
    975
  ],
  "calendar_days": [
    364,
    360,
    336
  ]
}
```

## Sources

```json
[
  "File12 calendrical physics; File63; C574"
]
```

## Opened utc

2026-09-28T00:18:13.085285+00:00

## Results

```json
{
  "gain_coefficients": [
    3,
    13,
    78
  ],
  "output_gap_coefficients": [
    10,
    65,
    75
  ],
  "day_volume_coefficient": [
    327600,
    327600,
    327600
  ],
  "lattice_condition": "integer S divisible by lcm(299,69,23)=897"
}
```

## Finding

The gains3n/13n/78n, output gaps10n/65n/75n and common327600n day volume are consequences of one calibrated lattice. They should be counted as dependent outputs of that structure.

## Reassessment

Reconstruct the smaller quarter-carrier ladder that supplies483.

## Checks

```json
{
  "gains": true,
  "volume": true,
  "denominators": true
}
```

## Closed utc

2026-09-28T00:18:13.085521+00:00

## Record provenance

Exact record hash: `31f205ce8a16483fc8ea59dc4f3daff6298cee9537b33678569153513a49ade6`

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