# C1019 — NT Key-knot constraint rank

## Question

Do the one-slot P and six-slot E returns impose independent metric equations?

## Inputs

```json
{}
```

## Sources

```json
[
  "File43 §3.4",
  "File54 §6",
  "C866–C867"
]
```

## Opened utc

2026-09-28T03:59:13.232738+00:00

## Results

```json
{
  "constraint_packet": {
    "path": "model/nt_knot_constraints.json",
    "sha256": "001fa79df002ae5a1ff854edc0d95670ab13621b424713e9d46190626da9e136",
    "bytes": 216
  },
  "rank": 1,
  "row_multiple": 6
}
```

## Finding

The second marked NT return is exactly six times the first equation. The pair has rank one and does not independently determine the70-year metric.

## Reassessment

Identify the metric freedom and the additional source constraint that closes it.

## Checks

```json
{
  "rank_one": true,
  "dependent_rows": true
}
```

## Closed utc

2026-09-28T03:59:13.233977+00:00

## Record provenance

Exact record hash: `a9606576f6f256c87181d6a7dcdf67f5826caa29d6a13d4db1f6096725397767`

Source journal: `Research_Cycles/C0932_C1131/journal.json`