# C843 — Build the complete Esau joint-category table

## Question

What cell structure lies beneath the equal490/60 marginals?

## Inputs

```json
{}
```

## Sources

```json
[
  "File58 §13.1 nine printed rows"
]
```

## Opened utc

2026-09-28T02:33:12.614390+00:00

## Results

```json
{
  "joint_table": {
    "path": "model/Esau_joint_measurements.json",
    "sha256": "74bd41362ddc19e287e21419635e918f8fa091f10f6f059baf43cab8a13a8fbf",
    "bytes": 1169
  },
  "joint_clean_unclean_by_female_male": [
    [
      440,
      50
    ],
    [
      50,
      10
    ]
  ],
  "purity_totals": [
    490,
    60
  ],
  "sex_totals": [
    490,
    60
  ]
}
```

## Finding

The complete joint table is[[440,50],[50,10]]. Equal490/60 marginals arise because the two off-diagonal cells agree, while purity and sex remain different classifications.

## Reassessment

Identify the exact constraint and freedom behind that equality.

## Checks

```json
{
  "joint": true,
  "both_marginals": true
}
```

## Closed utc

2026-09-28T02:33:12.614841+00:00

## Record provenance

Exact record hash: `17ea4356b3fd922b1024d65d878e824ac844671c52e9fbf6f062102e140f730b`

Source journal: `Research_Cycles/C0832_C0931/journal.json`