add normalizing 36 in comments
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@ -30,7 +30,7 @@ if K == nothing || LAMBDA == nothing
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throw(invalid_use_message)
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end
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info("Running checks for Adj₅ + $K·Op₅ - $LAMBDA·Δ₅")
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info("Running checks for 36(Adj₅ + $K·Op₅) - $LAMBDA·Δ₅")
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G = AutGroup(FreeGroup(5), special=true)
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S = generating_set(G)
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@ -115,7 +115,7 @@ if !isfile(SOLUTION_FILE)
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save(SOLUTION_FILE, "λ", λ, "P", P)
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end
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info("Checking the sum of squares solution for Adj₅ + $K·Op₅ - $LAMBDA·Δ₅")
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info("Checking the sum of squares solution for 36(Adj₅ + $K·Op₅) - $LAMBDA·Δ₅")
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P, λ = load(SOLUTION_FILE, "P", "λ")
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info("Computing Q = √P")
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@ -139,4 +139,7 @@ Q_int = PropertyT.augIdproj(Q);
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b_int = SOS_residual(EOI_int, Q_int)
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@show norm(b_int, 1);
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info("λ is certified to be > ", (@interval(λ) - 2^2*norm(b_int,1))).lo
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λ_cert = @interval(λ) - 2^2*norm(b_int,1)
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info("λ is certified to be > ", λ_cert.lo)
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info("i.e Adj₅ + $K·Op₅ - $((λ_cert/36).lo)·Δ₅ ∈ Σ²₂ ISAut(F₅)")
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