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add commented test on Adj₄ + 100 Op₄ in SAut(F₄)

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kalmarek 2019-07-01 01:46:32 +02:00
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@ -221,4 +221,25 @@ end
end
end
# @testset "Adj₄ + 100 Op₄ ∈ ISAut(F₄) is SOS" begin
# N = 4
# halfradius = 2
# M = SAut(FreeGroup(N))
# S = PropertyT.generating_set(M)
# Δ = PropertyT.Laplacian(S, halfradius)
# RG = parent(Δ)
# orbit_data = PropertyT.OrbitData(RG, WreathProduct(PermGroup(2), PermGroup(N)))
# orbit_data = PropertyT.decimate(orbit_data);
#
# @time elt = PropertyT.Adj(RG) + 100PropertyT.Op(RG)
# UB = 0.05
#
# warm = nothing
#
# residual, λ, warm = check_positivity(elt, Δ, orbit_data, UB, warm, with_solver=with_SCS(20_000, accel=10))
# @info "obtained λ and residual" λ norm(residual, 1)
#
# @test 2^2*norm(residual, 1) < λ # i.e. we can certify positivity
# @test 2^2*norm(residual, 1) < λ/100
# end
end