# C676 — Reconstruct the recovered35 phase pair

## Question

What exact coordinates result from withdrawing2.5 at both normalized endpoints?

## Inputs

```json
{
  "T_coordinates": [
    "5783/2",
    "5703/2"
  ],
  "N_coordinates": [
    2891,
    2851
  ],
  "withdrawal": "5/2"
}
```

## Sources

```json
[
  "Supplement A §4.3; derived phase-resolution test"
]
```

## Opened utc

2026-09-28T01:11:12.299801+00:00

## Results

```json
{
  "from_T_coordinates": [
    2889,
    2854
  ],
  "from_T_labels": [
    "2889n",
    "2854n"
  ],
  "from_N_coordinates": [
    "5777/2",
    "5707/2"
  ],
  "from_N_labels": [
    "2889t",
    "2854t"
  ]
}
```

## Finding

Withdrawing2.5 from both normalized endpoints recovers width35 and changes the displayed suffix: the Tishri coordinates land on Nisan labels, and vice versa. The apparent integer-label ambiguity is resolved by the exact half-year convention.

## Reassessment

Generate the two40 brackets and their common120 field.

## Checks

```json
{
  "T_to_N": true,
  "N_to_T": true,
  "widths": true
}
```

## Closed utc

2026-09-28T01:11:12.300041+00:00

## Record provenance

Exact record hash: `e4e7f7c186a8300250e317a5d0021a4a8dfc136572995d93966ea4ae6ac8d330`

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