# C775 — Generate all admitted common-row birth configurations

## Question

Do the same support masks produce the three complete comparison families?

## Inputs

```json
{}
```

## Sources

```json
[
  "C738 native Cainan/common430 field; C772–774"
]
```

## Opened utc

2026-09-28T02:00:23.333947+00:00

## Results

```json
{
  "configurations": {
    "path": "model/finite_birth_configurations.json",
    "sha256": "07d7a5fab5ff11110f3aaf177b82c3e529f129261e4bb8a35a8a23ac05885591",
    "bytes": 11074
  },
  "placement_counts": {
    "MT": {
      "Adam": 8,
      "Shelah": 4,
      "Abraham": 2
    },
    "LXX": {
      "Adam": 8,
      "Shelah": 4,
      "Abraham": 2
    },
    "SP": {
      "Adam": 8,
      "Shelah": 4,
      "Abraham": 2
    }
  },
  "SP_minimum_full_heads": [
    4199,
    4414
  ]
}
```

## Finding

Each tradition has eight admitted state labels, restricting to eight upstream, four middle, and two Abraham placements. Native SP215 and equalized full430 remain distinct selections.

## Reassessment

Test reversible finite switching and its direction-dependent increments.

## Checks

```json
{
  "counts": true,
  "SP_heads": true
}
```

## Closed utc

2026-09-28T02:00:23.334870+00:00

## Record provenance

Exact record hash: `c57212eebabe3db65a6ffd76fe88606a99a54a9b2e11d686107c3e2625f008c4`

Source journal: `Research_Cycles/C0732_C0831/journal.json`