# C566 — Generate the12250 cumulative variant

## Question

How do the separate Cainan and Apparent operations combine in this source state?

## Inputs

```json
{
  "base_head": 14006,
  "Isaac": 2246,
  "cumulative_Cainan": 460,
  "Apparent": 30
}
```

## Sources

```json
[
  "File61 §§17.6–17.7"
]
```

## Opened utc

2026-09-28T00:15:45.197212+00:00

## Results

```json
{
  "heads": [
    14006,
    14466,
    14036,
    14496
  ],
  "upper_legs": [
    11760,
    12220,
    11790,
    12250
  ],
  "combined_factorization": [
    25,
    490
  ]
}
```

## Finding

Separate source operations+460 and+30 combine additively to a490 increment. The combined upper leg12250 is25×490; numerical summation does not identify the two state changes or regular Cainan130 with cumulative460.

## Reassessment

Recover the full, half and quarter Key family behind clutch magnitudes.

## Checks

```json
{
  "combined": true,
  "factor": true
}
```

## Closed utc

2026-09-28T00:15:45.197463+00:00

## Record provenance

Exact record hash: `438ad6a287f5fc71e7b68f36da4826c41fc4ee9fa9f75d357c5b01c668b60a1c`

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