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add commented test on Adj₄ + 100 Op₄ in SAut(F₄)
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@ -221,4 +221,25 @@ end
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end
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end
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# @testset "Adj₄ + 100 Op₄ ∈ ISAut(F₄) is SOS" begin
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# N = 4
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# halfradius = 2
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# M = SAut(FreeGroup(N))
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# S = PropertyT.generating_set(M)
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# Δ = PropertyT.Laplacian(S, halfradius)
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# RG = parent(Δ)
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# orbit_data = PropertyT.OrbitData(RG, WreathProduct(PermGroup(2), PermGroup(N)))
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# orbit_data = PropertyT.decimate(orbit_data);
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#
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# @time elt = PropertyT.Adj(RG) + 100PropertyT.Op(RG)
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# UB = 0.05
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#
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# warm = nothing
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#
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# residual, λ, warm = check_positivity(elt, Δ, orbit_data, UB, warm, with_solver=with_SCS(20_000, accel=10))
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# @info "obtained λ and residual" λ norm(residual, 1)
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#
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# @test 2^2*norm(residual, 1) < λ # i.e. we can certify positivity
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# @test 2^2*norm(residual, 1) < λ/100
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# end
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end
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