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Exhaustive exact verification that all 1523 split C₂-compatible 3-forms on R⁷ yield g₂(split). Single file, three components: (A) exact-arithmetic core — pattern enumeration, rank, Hitchin inertia, Killing form, ad-commutant over Q, (B) certificate generator — JSON witnesses with kernel, pivots, LDL diagonals, modular rank over GF(1000003), (C) independent verifier — reimplements all computations from scratch, 10 checks (S1-S3 structural, M1-M7 mathematical). 7032 candidates, 1524 rank-valid, 1523 split, 1 compact. All 1523 certified g₂(split). No numpy. No float. No external dependencies. Referenced by CCFU Proof 27.
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Title CCFU Script 3 — proof_27_exhaustive_orbit.py
Exhaustive exact verification that all 1523 split C₂-compatible 3-forms on R⁷ yield g₂(split). Single file, three components: (A) exact-arithmetic core — pattern enumeration, rank, Hitchin inertia, Killing form, ad-commutant over Q, (B) certificate generator — JSON witnesses with kernel, pivots, LDL diagonals, modular rank over GF(1000003), (C) independent verifier — reimplements all computations from scratch, 10 checks (S1-S3 structural, M1-M7 mathematical). 7032 candidates, 1524 rank-valid, 1523 split, 1 compact. All 1523 certified g₂(split). No numpy. No float. No external dependencies. Referenced by CCFU Proof 27.
Work type Script
Tags script, ccfu, captain cookie face
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Identifier 2605235759532
Entry date May 23, 2026, 7:48 PM UTC
License All rights reserved
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Author 100.00 %. Holder Captain Cookie Face Universe. Date May 23, 2026.
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