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Exact algebraic verification of the Higher Alternating Closure construction V_W = R ⊕ W ⊕ W* → G₂(split). Six parts: (1) dim SL(W)-invariants = 3, (2) symbolic proof of det(b_Ω) = 4374·a⁹b⁶c⁶ over Q[a,b,c], (3) sig(b_Ω) = (3,4) and dim Stab = 14 exact, (4) exact witness H for GL(7,R)-equivalence of Ω_W and Ω_old with Q-obstruction proof (v₂(64) ∉ 9Z), (5) dim 6 stabilizer = 16 exact, (6) SL(W) preservation via all 8 sl(3) generators. Pure Python, fractions.Fraction, no external dependencies. 8 assertions.
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Title CCFU Script 1 — verify_higher_closure.py
Exact algebraic verification of the Higher Alternating Closure construction V_W = R ⊕ W ⊕ W* → G₂(split). Six parts: (1) dim SL(W)-invariants = 3, (2) symbolic proof of det(b_Ω) = 4374·a⁹b⁶c⁶ over Q[a,b,c], (3) sig(b_Ω) = (3,4) and dim Stab = 14 exact, (4) exact witness H for GL(7,R)-equivalence of Ω_W and Ω_old with Q-obstruction proof (v₂(64) ∉ 9Z), (5) dim 6 stabilizer = 16 exact, (6) SL(W) preservation via all 8 sl(3) generators. Pure Python, fractions.Fraction, no external dependencies. 8 assertions.
Work type Script
Tags ccfu, captain cookie face, script
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Identifier 2605225741400
Entry date May 22, 2026, 9:14 AM UTC
License All rights reserved
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Author 100.00 %. Holder Captain Cookie Face Universe. Date May 22, 2026.
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