# C1048 — Complete42-coordinate array rank

## Question

What is the information content of seven rows, two phases and three clutch positions?

## Inputs

```json
{}
```

## Sources

```json
[
  "File61 §7",
  "File62 §1"
]
```

## Opened utc

2026-09-28T04:06:08.457828+00:00

## Results

```json
{
  "array": {
    "path": "model/clutch_array_matrix.json",
    "sha256": "02719fa50150a121486da805c237833b19c2895369ac7dc5b6b28e7cd26d1143",
    "bytes": 5664
  },
  "rank": 9,
  "output_dependency_dimension": 33
}
```

## Finding

The unrestricted array has nine parameters and33 linear output dependencies. Its42 coordinates therefore are not42 independent numerical observations.

## Reassessment

Find a minimal observation set and test what missing states conceal.

## Checks

```json
{
  "complete_field": true,
  "rank_nine": true,
  "dependencies": true
}
```

## Closed utc

2026-09-28T04:06:08.479307+00:00

## Record provenance

Exact record hash: `d7a116854cddb2ec5c31e61969e49b580e80a60a857a646e9de34fccf17d5fdc`

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