# C574 — Generate the common integral Key family

## Question

Do Noah, Creation and macro scalar seeds share one normal form?

## Inputs

```json
{
  "multipliers": [
    10,
    14,
    160
  ],
  "base": 897
}
```

## Sources

```json
[
  "File63 §§6,9; C531 Noah family"
]
```

## Opened utc

2026-09-28T00:18:00.227394+00:00

## Results

```json
{
  "n_input_J_P_E": [
    [
      10,
      8970,
      9000,
      9100,
      9750
    ],
    [
      14,
      12558,
      12600,
      12740,
      13650
    ],
    [
      160,
      143520,
      144000,
      145600,
      156000
    ]
  ],
  "normal_form": [
    897,
    900,
    910,
    975
  ]
}
```

## Finding

All three seeds lie on897n, with J/P/E outputs900n/910n/975n. The newly completed E outputs for File63 are algebraic diagnostics, not additional source-appointed event dates.

## Reassessment

Determine which gains and calendar volumes are automatic consequences of this normal form.

## Checks

```json
{
  "all_rows": true,
  "inputs": true
}
```

## Closed utc

2026-09-28T00:18:00.227642+00:00

## Record provenance

Exact record hash: `a04287c866c4ec24ae3f3735d7482d0747f2ebebe933a7b766530cf588237156`

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