{
  "step": "C396",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Complete regular family census of E return loops",
  "previous_certificate_sha256": "3c1ca779e88adcfa0449ccf46a133dde85ea9192cb1cfa79a045016f396ee3f5",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C396_Regular_Family_Census_of_E_J_and_E_P_J_Return_Loops_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C396_20260924.md",
    "data": "evidence/DATA.json",
    "results": "evidence/RESULTS.json",
    "calculation": "evidence/CALCULATION.py",
    "verifier": "evidence/check.py",
    "next_step_decision": "NEXT_STEP_DECISION.json",
    "replay": "REPLAY.json",
    "control_integrity": "CONTROL_INTEGRITY.json",
    "readme": "README.md",
    "test_plan": "TEST_PLAN.json"
  },
  "step_sha256": "e9eb5f82c87555b5e0851c7b680c0a571cd12559c91ea5abee736e5dbc847fcf",
  "source_manifest_sha256": "1acc946d47564820e6d2a6b2283884dcf0dba015961717a8387c935660fe4451",
  "report_sha256": "e5f773c01e52235a705ecf159d6ac131e6cfd5a7411183d95ded12edbe7f06a5",
  "checkpoint_sha256": "a1cf2e71f9eaad287cabdd90b08d77c6d7a88e09977f613907b1aabe279b4636",
  "data_sha256": "a2673acaec99e93a3a9ba58519dab394de18e1ba9a34b83e60e3e1b828b344cb",
  "results_sha256": "94af7313dd8c5ccce5f57cfaa5f1fc196c1d690d2b42b32a691ecaa1e0dadde6",
  "calculation_sha256": "e533d8710e46afb5baa8dcc62c58691fc2a9457a86406e0dde5dbcbcd693f838",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "c4c3f64c986c18c5b961ee6540b6fcffe57e32372f5ff253c7bbc91a26b8a292",
  "replay_sha256": "5aa371e7c63a6193e05fa3bb7bffa3ba37302d9203de54b727d08995ea206bd8",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "a18093e08616692b5f1fe972321657ac06f74d65022acc39b370da88404ee808",
  "test_plan_sha256": "eaa7d3940b680482707bca5d4d06cadb721c552d718d4c8f0275193f1c9cfe4a",
  "assertions_passed": 94,
  "source_checks_passed": 15,
  "main_result": "The4096-case unfiltered coherent-family census finds six coordinate E/J loops and12 labelled comparisons. Two MT loops also have sourced P returns at2893/2895 and coincide with the lower-full430 common P/J repairs. SP companion loops require existing Flood close; four SP/LXX coordinate loops remain J-only.",
  "limits": "Exhaustiveness is limited to the named coherent same-Gear family motif. Labels, source aliases and repeated arithmetic do not multiply historical witnesses; no missing pivot or new Gear is introduced.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "review_provenance": "Root-agent analysis and deterministic replay; no new independent-agent review",
  "next_proposed_step": "Determine the affine composition structure of the two fully sourced E/P/J loops. Test whether the closed P–E and J–E circuits commute at each source vertex, classify their multipliers, and separate loop equality from equality of the three individual operators.",
  "next_step_executed": false
}