# C704 — Reconstruct the fixed twelve-node phase field

## Question

Can one declared template reproduce every literal source node?

## Inputs

```json
{
  "literal_BC_pairs": [
    [
      2939,
      2938
    ],
    [
      2937,
      2936
    ],
    [
      2935,
      2934
    ],
    [
      2909,
      2908
    ],
    [
      2907,
      2906
    ],
    [
      2905,
      2904
    ]
  ],
  "chart": "t(B)=−B+3/4; n(B)=−B+1/4",
  "scope": "literal existing set only"
}
```

## Sources

```json
[
  "Supplement A §13.1; amendment-local status"
]
```

## Opened utc

2026-09-28T01:18:24.581538+00:00

## Results

```json
{
  "literal_coordinates": [
    "-11753/4",
    "-11751/4",
    "-11745/4",
    "-11743/4",
    "-11737/4",
    "-11735/4",
    "-11633/4",
    "-11631/4",
    "-11625/4",
    "-11623/4",
    "-11617/4",
    "-11615/4"
  ],
  "center": -2921,
  "width": "69/2",
  "template": "−2921+15r+2g+p/4"
}
```

## Finding

The declared six phase pairs form exactly the supplied twelve-node template centered at−2921 with width34.5. The template reconstructs a fixed admitted field; its local indices do not authorize new Gear or remote SKL states.

## Reassessment

Test the whole set under its declared affine reflection and translation.

## Checks

```json
{
  "literal_template": true,
  "distinct": true,
  "geometry": true
}
```

## Closed utc

2026-09-28T01:18:24.581901+00:00

## Record provenance

Exact record hash: `e5da07e2d7bf4e65cc13d71cbc5a327a5bb59a09044273f15c52c08b84c835ce`

Source journal: `Research_Cycles/C0632_C0731/journal.json`