NoFishLikeIan · November 4, 2021 08:52
diff --git a/gistfile1.txt b/gistfile1.txt
 ### A Pluto.jl notebook ###
 # v0.16.4

 using Markdown
 using InteractiveUtils

 # This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
 macro bind(def, element)
    quote
        local el = $(esc(element))
        global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : missing
        el
    end
 end

 # ╔═╡ 4bfd3a24-3594-11ec-267f-e36cee8ea81b
 using Random; rng = Random.seed!(parse(BigInt, "Computer lab one", base=62))

 # ╔═╡ 7c0566ff-36eb-4edf-b314-aaa089b60ee9
 using Plots, PlutoUI, LaTeXStrings

 # ╔═╡ 01f66f30-3fe9-4ea7-8fb7-2612552f11e5
 using Roots, FiniteDifferences

 # ╔═╡ a9f0d12d-25a7-443c-ab30-6fa488e4f62c
 using DynamicalSystems

 # ╔═╡ 487619ba-0eb1-4082-8c59-a46db76405c2
 begin
 	struct OneSlider 
 	    range::AbstractRange
 	    default::Number
 	end
 	function Base.show(io::IO, ::MIME"text/html", slider::OneSlider)
 	    print(io, """
 			<input type="range" 
 			min="$(first(slider.range))" 
 			step="$(step(slider.range))"
 			max="$(last(slider.range))" 
 			value="$(slider.default)"
 			oninput="this.nextElementSibling.value=this.value">
 			<output>$(slider.default)</output>""")
 	end
 end

 # ╔═╡ 1a92dc4b-8236-48a5-ad72-c195c7e32cd6
 html"""
 <style>
  main {
    max-width: 1200px;
  }
 </style>
 """

 # ╔═╡ bc17a899-30b8-4d83-98df-d6f779a63403
 default(size = (900, 600), margin = 5Plots.mm); Plots.scalefontsizes(1.5)

 # ╔═╡ 8479e3fe-47e2-4069-a73b-e68f304e5882
 ∂(f, x) = central_fdm(5, 1)(f, x)

 # ╔═╡ f69a9dcc-fad8-4b9e-a65c-67bcd9de8706
 md"""
 Define the evolution $x_{t+1} = f_a(x_t)$, where $f_a(x) = a \ x \ (1 - x)$.
 """

 # ╔═╡ 685f3d40-bff3-41c0-8644-02b37dbffc57
 f(x, a) = a * x * (1 - x)

 # ╔═╡ 112eecd4-0039-48a3-b505-0e347c8bf29a
 begin
 	function plotevolution(xs, fn::Function, args...; kwargs...)
 		figure = plot(); plotevolution!(figure, xs, fn, args...; kwargs...)
 	end
 	function plotevolution!(fig, xs, fn::Function, args...; kwargs...)
 		xlims = extrema(xs)
 		
 		roots = find_zeros(x -> fn(x) - x, xlims...)
 		
 		plot!(
 			fig, xs, fn, 
 			aspect_ratio = 1, xlims = xlims, ylims = xlims, 
 			args...; kwargs...
 		)
 		
 		plot!(fig, xs, x -> x, linestyle = :dash, c = :black, label = nothing)
 		
 		colors = [abs(∂(fn, x₀)) < 1 ? :green : :red for x₀ ∈ roots]
 		scatter!(fig, roots, fn.(roots), label = nothing, c = colors)
 		
 	end
 end

 # ╔═╡ 5c99dd87-b766-46fc-8dbe-77540232f36b
 md"a: $(@bind a OneSlider(0:0.025:4, 1))"

 # ╔═╡ 714ad211-91a2-420c-8c9d-5768391c5b83
 begin
 	g(x) = f(x, a)
 	
 	xs = range(0., 1., length = 100)
 	fig = plotevolution(xs, g, label = L"f(x)", legend = :topleft, xaxis = L"x_t", yaxis = L"x_{t + 1}")
 end

 # ╔═╡ 00000000-0000-0000-0000-000000000001
 PLUTO_PROJECT_TOML_CONTENTS = """
 [deps]
 DynamicalSystems = "61744808-ddfa-5f27-97ff-6e42cc95d634"
 FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
 LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
 Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
 PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 Roots = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"

 [compat]
 DynamicalSystems = "~2.1.3"
 FiniteDifferences = "~0.12.18"
 LaTeXStrings = "~1.2.1"
 Plots = "~1.23.0"
 PlutoUI = "~0.7.16"
 Roots = "~1.3.5"
 """

 # ╔═╡ 00000000-0000-0000-0000-000000000002
 PLUTO_MANIFEST_TOML_CONTENTS = """
 # This file is machine-generated - editing it directly is not advised

 [[AbstractFFTs]]
 deps = ["LinearAlgebra"]
 git-tree-sha1 = "485ee0867925449198280d4af84bdb46a2a404d0"
 uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
 version = "1.0.1"

 [[Adapt]]
 deps = ["LinearAlgebra"]
 git-tree-sha1 = "84918055d15b3114ede17ac6a7182f68870c16f7"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
 version = "3.3.1"

 [[ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"

 [[ArnoldiMethod]]
 deps = ["LinearAlgebra", "Random", "StaticArrays"]
 git-tree-sha1 = "f87e559f87a45bece9c9ed97458d3afe98b1ebb9"
 uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
 version = "0.1.0"

 [[ArrayInterface]]
 deps = ["Compat", "IfElse", "LinearAlgebra", "Requires", "SparseArrays", "Static"]
 git-tree-sha1 = "a8101545d6b15ff1ebc927e877e28b0ab4bc4f16"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
 version = "3.1.36"

 [[Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"

 [[Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

 [[BitTwiddlingConvenienceFunctions]]
 deps = ["Static"]
 git-tree-sha1 = "bc1317f71de8dce26ea67fcdf7eccc0d0693b75b"
 uuid = "62783981-4cbd-42fc-bca8-16325de8dc4b"
 version = "0.1.1"

 [[Bzip2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
 uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
 version = "1.0.8+0"

 [[CPUSummary]]
 deps = ["Hwloc", "IfElse", "Static"]
 git-tree-sha1 = "87b0c9c6ee0124d6c1f4ce8cb035dcaf9f90b803"
 uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
 version = "0.1.6"

 [[CRlibm]]
 deps = ["Libdl"]
 git-tree-sha1 = "9d1c22cff9c04207f336b8e64840d0bd40d86e0e"
 uuid = "96374032-68de-5a5b-8d9e-752f78720389"
 version = "0.8.0"

 [[Cairo_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
 git-tree-sha1 = "f2202b55d816427cd385a9a4f3ffb226bee80f99"
 uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
 version = "1.16.1+0"

 [[Calculus]]
 deps = ["LinearAlgebra"]
 git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad"
 uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
 version = "0.5.1"

 [[ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra", "SparseArrays"]
 git-tree-sha1 = "0541d306de71e267c1a724f84d44bbc981f287b4"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
 version = "1.10.2"

 [[ChaosTools]]
 deps = ["Combinatorics", "DSP", "DelayEmbeddings", "Distances", "Distributions", "DynamicalSystemsBase", "Entropies", "ForwardDiff", "IntervalRootFinding", "LinearAlgebra", "LombScargle", "Neighborhood", "ProgressMeter", "Random", "Roots", "SpecialFunctions", "StaticArrays", "Statistics", "StatsBase"]
 git-tree-sha1 = "cf4de0d2d16a554372849121e3cead9fdd255fbc"
 uuid = "608a59af-f2a3-5ad4-90b4-758bdf3122a7"
 version = "2.5.1"

 [[CloseOpenIntervals]]
 deps = ["ArrayInterface", "Static"]
 git-tree-sha1 = "7b8f09d58294dc8aa13d91a8544b37c8a1dcbc06"
 uuid = "fb6a15b2-703c-40df-9091-08a04967cfa9"
 version = "0.1.4"

 [[ColorSchemes]]
 deps = ["ColorTypes", "Colors", "FixedPointNumbers", "Random"]
 git-tree-sha1 = "a851fec56cb73cfdf43762999ec72eff5b86882a"
 uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
 version = "3.15.0"

 [[ColorTypes]]
 deps = ["FixedPointNumbers", "Random"]
 git-tree-sha1 = "024fe24d83e4a5bf5fc80501a314ce0d1aa35597"
 uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
 version = "0.11.0"

 [[Colors]]
 deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
 git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
 uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
 version = "0.12.8"

 [[Combinatorics]]
 git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
 uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
 version = "1.0.2"

 [[CommonSolve]]
 git-tree-sha1 = "68a0743f578349ada8bc911a5cbd5a2ef6ed6d1f"
 uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
 version = "0.2.0"

 [[CommonSubexpressions]]
 deps = ["MacroTools", "Test"]
 git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
 uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
 version = "0.3.0"

 [[Compat]]
 deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
 git-tree-sha1 = "31d0151f5716b655421d9d75b7fa74cc4e744df2"
 uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
 version = "3.39.0"

 [[CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"

 [[ConstructionBase]]
 deps = ["LinearAlgebra"]
 git-tree-sha1 = "f74e9d5388b8620b4cee35d4c5a618dd4dc547f4"
 uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
 version = "1.3.0"

 [[Contour]]
 deps = ["StaticArrays"]
 git-tree-sha1 = "9f02045d934dc030edad45944ea80dbd1f0ebea7"
 uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
 version = "0.5.7"

 [[Crayons]]
 git-tree-sha1 = "3f71217b538d7aaee0b69ab47d9b7724ca8afa0d"
 uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
 version = "4.0.4"

 [[DEDataArrays]]
 deps = ["ArrayInterface", "DocStringExtensions", "LinearAlgebra", "RecursiveArrayTools", "SciMLBase", "StaticArrays"]
 git-tree-sha1 = "31186e61936fbbccb41d809ad4338c9f7addf7ae"
 uuid = "754358af-613d-5f8d-9788-280bf1605d4c"
 version = "0.2.0"

 [[DSP]]
 deps = ["FFTW", "IterTools", "LinearAlgebra", "Polynomials", "Random", "Reexport", "SpecialFunctions", "Statistics"]
 git-tree-sha1 = "2a63cb5fc0e8c1f0f139475ef94228c7441dc7d0"
 uuid = "717857b8-e6f2-59f4-9121-6e50c889abd2"
 version = "0.6.10"

 [[DataAPI]]
 git-tree-sha1 = "cc70b17275652eb47bc9e5f81635981f13cea5c8"
 uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
 version = "1.9.0"

 [[DataStructures]]
 deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
 git-tree-sha1 = "7d9d316f04214f7efdbb6398d545446e246eff02"
 uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
 version = "0.18.10"

 [[DataValueInterfaces]]
 git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
 uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
 version = "1.0.0"

 [[Dates]]
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

 [[DelayEmbeddings]]
 deps = ["Distances", "Distributions", "LinearAlgebra", "Neighborhood", "Random", "StaticArrays", "Statistics", "StatsBase"]
 git-tree-sha1 = "548773545f504d5f8909a7f8fccdcdea3149c3fc"
 uuid = "5732040d-69e3-5649-938a-b6b4f237613f"
 version = "2.0.1"

 [[DelimitedFiles]]
 deps = ["Mmap"]
 uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"

 [[DiffEqBase]]
 deps = ["ArrayInterface", "ChainRulesCore", "DEDataArrays", "DataStructures", "Distributions", "DocStringExtensions", "FastBroadcast", "ForwardDiff", "FunctionWrappers", "IterativeSolvers", "LabelledArrays", "LinearAlgebra", "Logging", "MuladdMacro", "NonlinearSolve", "Parameters", "PreallocationTools", "Printf", "RecursiveArrayTools", "RecursiveFactorization", "Reexport", "Requires", "SciMLBase", "Setfield", "SparseArrays", "StaticArrays", "Statistics", "SuiteSparse", "ZygoteRules"]
 git-tree-sha1 = "01ae1cfb7006d4d33a9a3a024818a2318734999e"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
 version = "6.75.0"

 [[DiffResults]]
 deps = ["StaticArrays"]
 git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805"
 uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
 version = "1.0.3"

 [[DiffRules]]
 deps = ["NaNMath", "Random", "SpecialFunctions"]
 git-tree-sha1 = "7220bc21c33e990c14f4a9a319b1d242ebc5b269"
 uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
 version = "1.3.1"

 [[Distances]]
 deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
 git-tree-sha1 = "09d9eaef9ef719d2cd5d928a191dc95be2ec8059"
 uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
 version = "0.10.5"

 [[Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"

 [[Distributions]]
 deps = ["ChainRulesCore", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns"]
 git-tree-sha1 = "15dad92b6a36400c988de3fc9490a372599f5b4c"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
 version = "0.25.21"

 [[DocStringExtensions]]
 deps = ["LibGit2"]
 git-tree-sha1 = "b19534d1895d702889b219c382a6e18010797f0b"
 uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
 version = "0.8.6"

 [[Downloads]]
 deps = ["ArgTools", "LibCURL", "NetworkOptions"]
 uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"

 [[DynamicalSystems]]
 deps = ["ChaosTools", "DelayEmbeddings", "DynamicalSystemsBase", "Entropies", "RecurrenceAnalysis", "Reexport", "Scratch", "StaticArrays"]
 git-tree-sha1 = "d3c67d5092b9074498e49efe52be74d5154f2c75"
 uuid = "61744808-ddfa-5f27-97ff-6e42cc95d634"
 version = "2.1.3"

 [[DynamicalSystemsBase]]
 deps = ["DelayEmbeddings", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "SimpleDiffEq", "SparseArrays", "StaticArrays", "Statistics"]
 git-tree-sha1 = "9088dbd117574d227e121154f293ccf130c279be"
 uuid = "6e36e845-645a-534a-86f2-f5d4aa5a06b4"
 version = "2.3.2"

 [[EarCut_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "3f3a2501fa7236e9b911e0f7a588c657e822bb6d"
 uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5"
 version = "2.2.3+0"

 [[Entropies]]
 deps = ["DelayEmbeddings", "Distances", "LinearAlgebra", "Neighborhood", "SparseArrays", "SpecialFunctions", "StaticArrays", "Statistics", "Wavelets"]
 git-tree-sha1 = "8a25762cda6a683c6c813ed138e97d91f95b5445"
 uuid = "ed8fcbec-b94c-44b6-89df-898894ad9591"
 version = "1.1.0"

 [[ErrorfreeArithmetic]]
 git-tree-sha1 = "d6863c556f1142a061532e79f611aa46be201686"
 uuid = "90fa49ef-747e-5e6f-a989-263ba693cf1a"
 version = "0.5.2"

 [[Expat_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "b3bfd02e98aedfa5cf885665493c5598c350cd2f"
 uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
 version = "2.2.10+0"

 [[ExprTools]]
 git-tree-sha1 = "b7e3d17636b348f005f11040025ae8c6f645fe92"
 uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
 version = "0.1.6"

 [[FFMPEG]]
 deps = ["FFMPEG_jll"]
 git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
 uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
 version = "0.4.1"

 [[FFMPEG_jll]]
 deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "Pkg", "Zlib_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
 git-tree-sha1 = "d8a578692e3077ac998b50c0217dfd67f21d1e5f"
 uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
 version = "4.4.0+0"

 [[FFTW]]
 deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
 git-tree-sha1 = "463cb335fa22c4ebacfd1faba5fde14edb80d96c"
 uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
 version = "1.4.5"

 [[FFTW_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea"
 uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
 version = "3.3.10+0"

 [[FastBroadcast]]
 deps = ["LinearAlgebra", "Polyester", "Static"]
 git-tree-sha1 = "598065e5365976617b84ff6cf0bfe5770bffd543"
 uuid = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
 version = "0.1.10"

 [[FastRounding]]
 deps = ["ErrorfreeArithmetic", "Test"]
 git-tree-sha1 = "224175e213fd4fe112db3eea05d66b308dc2bf6b"
 uuid = "fa42c844-2597-5d31-933b-ebd51ab2693f"
 version = "0.2.0"

 [[FillArrays]]
 deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
 git-tree-sha1 = "8756f9935b7ccc9064c6eef0bff0ad643df733a3"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
 version = "0.12.7"

 [[FiniteDiff]]
 deps = ["ArrayInterface", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays"]
 git-tree-sha1 = "8b3c09b56acaf3c0e581c66638b85c8650ee9dca"
 uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
 version = "2.8.1"

 [[FiniteDifferences]]
 deps = ["ChainRulesCore", "LinearAlgebra", "Printf", "Random", "Richardson", "StaticArrays"]
 git-tree-sha1 = "9a586f04a21e6945f4cbee0d0fb6aebd7b86aa8f"
 uuid = "26cc04aa-876d-5657-8c51-4c34ba976000"
 version = "0.12.18"

 [[FixedPointNumbers]]
 deps = ["Statistics"]
 git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
 uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
 version = "0.8.4"

 [[Fontconfig_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
 git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
 uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
 version = "2.13.93+0"

 [[Formatting]]
 deps = ["Printf"]
 git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
 uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
 version = "0.4.2"

 [[ForwardDiff]]
 deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
 git-tree-sha1 = "63777916efbcb0ab6173d09a658fb7f2783de485"
 uuid = "f6369f11-7733-5829-9624-2563aa707210"
 version = "0.10.21"

 [[FreeType2_jll]]
 deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
 git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9"
 uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
 version = "2.10.4+0"

 [[FriBidi_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91"
 uuid = "559328eb-81f9-559d-9380-de523a88c83c"
 version = "1.0.10+0"

 [[FunctionWrappers]]
 git-tree-sha1 = "241552bc2209f0fa068b6415b1942cc0aa486bcc"
 uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
 version = "1.1.2"

 [[Future]]
 deps = ["Random"]
 uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"

 [[GLFW_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"]
 git-tree-sha1 = "0c603255764a1fa0b61752d2bec14cfbd18f7fe8"
 uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
 version = "3.3.5+1"

 [[GR]]
 deps = ["Base64", "DelimitedFiles", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Printf", "Random", "Serialization", "Sockets", "Test", "UUIDs"]
 git-tree-sha1 = "d189c6d2004f63fd3c91748c458b09f26de0efaa"
 uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
 version = "0.61.0"

 [[GR_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Pkg", "Qt5Base_jll", "Zlib_jll", "libpng_jll"]
 git-tree-sha1 = "cafe0823979a5c9bff86224b3b8de29ea5a44b2e"
 uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
 version = "0.61.0+0"

 [[GeometryBasics]]
 deps = ["EarCut_jll", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"]
 git-tree-sha1 = "58bcdf5ebc057b085e58d95c138725628dd7453c"
 uuid = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
 version = "0.4.1"

 [[Gettext_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
 git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
 uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
 version = "0.21.0+0"

 [[Glib_jll]]
 deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE_jll", "Pkg", "Zlib_jll"]
 git-tree-sha1 = "7bf67e9a481712b3dbe9cb3dac852dc4b1162e02"
 uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
 version = "2.68.3+0"

 [[Graphite2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
 uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
 version = "1.3.14+0"

 [[Grisu]]
 git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
 uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
 version = "1.0.2"

 [[HTTP]]
 deps = ["Base64", "Dates", "IniFile", "Logging", "MbedTLS", "NetworkOptions", "Sockets", "URIs"]
 git-tree-sha1 = "14eece7a3308b4d8be910e265c724a6ba51a9798"
 uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
 version = "0.9.16"

 [[HarfBuzz_jll]]
 deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
 git-tree-sha1 = "8a954fed8ac097d5be04921d595f741115c1b2ad"
 uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
 version = "2.8.1+0"

 [[HostCPUFeatures]]
 deps = ["BitTwiddlingConvenienceFunctions", "IfElse", "Libdl", "Static"]
 git-tree-sha1 = "8f0dc80088981ab55702b04bba38097a44a1a3a9"
 uuid = "3e5b6fbb-0976-4d2c-9146-d79de83f2fb0"
 version = "0.1.5"

 [[Hwloc]]
 deps = ["Hwloc_jll"]
 git-tree-sha1 = "92d99146066c5c6888d5a3abc871e6a214388b91"
 uuid = "0e44f5e4-bd66-52a0-8798-143a42290a1d"
 version = "2.0.0"

 [[Hwloc_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "3395d4d4aeb3c9d31f5929d32760d8baeee88aaf"
 uuid = "e33a78d0-f292-5ffc-b300-72abe9b543c8"
 version = "2.5.0+0"

 [[Hyperscript]]
 deps = ["Test"]
 git-tree-sha1 = "8d511d5b81240fc8e6802386302675bdf47737b9"
 uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91"
 version = "0.0.4"

 [[HypertextLiteral]]
 git-tree-sha1 = "5efcf53d798efede8fee5b2c8b09284be359bf24"
 uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2"
 version = "0.9.2"

 [[IOCapture]]
 deps = ["Logging", "Random"]
 git-tree-sha1 = "f7be53659ab06ddc986428d3a9dcc95f6fa6705a"
 uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
 version = "0.2.2"

 [[IfElse]]
 git-tree-sha1 = "28e837ff3e7a6c3cdb252ce49fb412c8eb3caeef"
 uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
 version = "0.1.0"

 [[Inflate]]
 git-tree-sha1 = "f5fc07d4e706b84f72d54eedcc1c13d92fb0871c"
 uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
 version = "0.1.2"

 [[IniFile]]
 deps = ["Test"]
 git-tree-sha1 = "098e4d2c533924c921f9f9847274f2ad89e018b8"
 uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
 version = "0.5.0"

 [[InlineStrings]]
 deps = ["Parsers"]
 git-tree-sha1 = "19cb49649f8c41de7fea32d089d37de917b553da"
 uuid = "842dd82b-1e85-43dc-bf29-5d0ee9dffc48"
 version = "1.0.1"

 [[IntelOpenMP_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "d979e54b71da82f3a65b62553da4fc3d18c9004c"
 uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
 version = "2018.0.3+2"

 [[InteractiveUtils]]
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

 [[IntervalArithmetic]]
 deps = ["CRlibm", "FastRounding", "LinearAlgebra", "Markdown", "Random", "RecipesBase", "RoundingEmulator", "SetRounding", "StaticArrays"]
 git-tree-sha1 = "5f6387acf62a633bfe21a28999eef5c6a39b638a"
 uuid = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253"
 version = "0.20.0"

 [[IntervalRootFinding]]
 deps = ["ForwardDiff", "IntervalArithmetic", "LinearAlgebra", "Polynomials", "Reexport", "StaticArrays"]
 git-tree-sha1 = "b6969692c800cc5b90608fbd3be83189edc5e446"
 uuid = "d2bf35a9-74e0-55ec-b149-d360ff49b807"
 version = "0.5.10"

 [[Intervals]]
 deps = ["Dates", "Printf", "RecipesBase", "Serialization", "TimeZones"]
 git-tree-sha1 = "323a38ed1952d30586d0fe03412cde9399d3618b"
 uuid = "d8418881-c3e1-53bb-8760-2df7ec849ed5"
 version = "1.5.0"

 [[InverseFunctions]]
 deps = ["Test"]
 git-tree-sha1 = "f0c6489b12d28fb4c2103073ec7452f3423bd308"
 uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
 version = "0.1.1"

 [[IrrationalConstants]]
 git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
 uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
 version = "0.1.1"

 [[IterTools]]
 git-tree-sha1 = "05110a2ab1fc5f932622ffea2a003221f4782c18"
 uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
 version = "1.3.0"

 [[IterativeSolvers]]
 deps = ["LinearAlgebra", "Printf", "Random", "RecipesBase", "SparseArrays"]
 git-tree-sha1 = "1a8c6237e78b714e901e406c096fc8a65528af7d"
 uuid = "42fd0dbc-a981-5370-80f2-aaf504508153"
 version = "0.9.1"

 [[IteratorInterfaceExtensions]]
 git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
 uuid = "82899510-4779-5014-852e-03e436cf321d"
 version = "1.0.0"

 [[JLLWrappers]]
 deps = ["Preferences"]
 git-tree-sha1 = "642a199af8b68253517b80bd3bfd17eb4e84df6e"
 uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
 version = "1.3.0"

 [[JSON]]
 deps = ["Dates", "Mmap", "Parsers", "Unicode"]
 git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37"
 uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
 version = "0.21.2"

 [[JpegTurbo_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "d735490ac75c5cb9f1b00d8b5509c11984dc6943"
 uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
 version = "2.1.0+0"

 [[LAME_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
 uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
 version = "3.100.1+0"

 [[LZO_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
 uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
 version = "2.10.1+0"

 [[LaTeXStrings]]
 git-tree-sha1 = "c7f1c695e06c01b95a67f0cd1d34994f3e7db104"
 uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
 version = "1.2.1"

 [[LabelledArrays]]
 deps = ["ArrayInterface", "LinearAlgebra", "MacroTools", "StaticArrays"]
 git-tree-sha1 = "8f5fd068dfee92655b79e0859ecad8b492dfe8b1"
 uuid = "2ee39098-c373-598a-b85f-a56591580800"
 version = "1.6.5"

 [[Latexify]]
 deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "Printf", "Requires"]
 git-tree-sha1 = "a8f4f279b6fa3c3c4f1adadd78a621b13a506bce"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
 version = "0.15.9"

 [[LayoutPointers]]
 deps = ["ArrayInterface", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static"]
 git-tree-sha1 = "83b56449c39342a47f3fcdb3bc782bd6d66e1d97"
 uuid = "10f19ff3-798f-405d-979b-55457f8fc047"
 version = "0.1.4"

 [[LazyArtifacts]]
 deps = ["Artifacts", "Pkg"]
 uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"

 [[LibCURL]]
 deps = ["LibCURL_jll", "MozillaCACerts_jll"]
 uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"

 [[LibCURL_jll]]
 deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
 uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"

 [[LibGit2]]
 deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
 uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

 [[LibSSH2_jll]]
 deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
 uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"

 [[Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

 [[Libffi_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "761a393aeccd6aa92ec3515e428c26bf99575b3b"
 uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
 version = "3.2.2+0"

 [[Libgcrypt_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"]
 git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae"
 uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
 version = "1.8.7+0"

 [[Libglvnd_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
 git-tree-sha1 = "7739f837d6447403596a75d19ed01fd08d6f56bf"
 uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
 version = "1.3.0+3"

 [[Libgpg_error_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9"
 uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
 version = "1.42.0+0"

 [[Libiconv_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "42b62845d70a619f063a7da093d995ec8e15e778"
 uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
 version = "1.16.1+1"

 [[Libmount_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73"
 uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
 version = "2.35.0+0"

 [[Libtiff_jll]]
 deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "Zlib_jll", "Zstd_jll"]
 git-tree-sha1 = "340e257aada13f95f98ee352d316c3bed37c8ab9"
 uuid = "89763e89-9b03-5906-acba-b20f662cd828"
 version = "4.3.0+0"

 [[Libuuid_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066"
 uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
 version = "2.36.0+0"

 [[LightGraphs]]
 deps = ["ArnoldiMethod", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
 git-tree-sha1 = "432428df5f360964040ed60418dd5601ecd240b6"
 uuid = "093fc24a-ae57-5d10-9952-331d41423f4d"
 version = "1.3.5"

 [[LinearAlgebra]]
 deps = ["Libdl"]
 uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

 [[LogExpFunctions]]
 deps = ["ChainRulesCore", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
 git-tree-sha1 = "6193c3815f13ba1b78a51ce391db8be016ae9214"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
 version = "0.3.4"

 [[Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

 [[LombScargle]]
 deps = ["FFTW", "LinearAlgebra", "Measurements", "Random", "SpecialFunctions", "Statistics"]
 git-tree-sha1 = "b5be40495668e30ca45d54ac2a9ae9d1bbc6f933"
 uuid = "fc60dff9-86e7-5f2f-a8a0-edeadbb75bd9"
 version = "1.0.2"

 [[LoopVectorization]]
 deps = ["ArrayInterface", "CPUSummary", "CloseOpenIntervals", "DocStringExtensions", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "Requires", "SIMDDualNumbers", "SLEEFPirates", "Static", "ThreadingUtilities", "UnPack", "VectorizationBase"]
 git-tree-sha1 = "b47e84e10d69b8c254ccdded458ab1061b279300"
 uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
 version = "0.12.89"

 [[MKL_jll]]
 deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"]
 git-tree-sha1 = "5455aef09b40e5020e1520f551fa3135040d4ed0"
 uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
 version = "2021.1.1+2"

 [[MacroTools]]
 deps = ["Markdown", "Random"]
 git-tree-sha1 = "5a5bc6bf062f0f95e62d0fe0a2d99699fed82dd9"
 uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
 version = "0.5.8"

 [[ManualMemory]]
 git-tree-sha1 = "9cb207b18148b2199db259adfa923b45593fe08e"
 uuid = "d125e4d3-2237-4719-b19c-fa641b8a4667"
 version = "0.1.6"

 [[Markdown]]
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

 [[MbedTLS]]
 deps = ["Dates", "MbedTLS_jll", "Random", "Sockets"]
 git-tree-sha1 = "1c38e51c3d08ef2278062ebceade0e46cefc96fe"
 uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
 version = "1.0.3"

 [[MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"

 [[Measurements]]
 deps = ["Calculus", "LinearAlgebra", "Printf", "RecipesBase", "Requires"]
 git-tree-sha1 = "31c8c0569b914111c94dd31149265ed47c238c5b"
 uuid = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
 version = "2.6.0"

 [[Measures]]
 git-tree-sha1 = "e498ddeee6f9fdb4551ce855a46f54dbd900245f"
 uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
 version = "0.3.1"

 [[Missings]]
 deps = ["DataAPI"]
 git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
 uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
 version = "1.0.2"

 [[Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"

 [[Mocking]]
 deps = ["Compat", "ExprTools"]
 git-tree-sha1 = "29714d0a7a8083bba8427a4fbfb00a540c681ce7"
 uuid = "78c3b35d-d492-501b-9361-3d52fe80e533"
 version = "0.7.3"

 [[MozillaCACerts_jll]]
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"

 [[MuladdMacro]]
 git-tree-sha1 = "c6190f9a7fc5d9d5915ab29f2134421b12d24a68"
 uuid = "46d2c3a1-f734-5fdb-9937-b9b9aeba4221"
 version = "0.2.2"

 [[NaNMath]]
 git-tree-sha1 = "bfe47e760d60b82b66b61d2d44128b62e3a369fb"
 uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
 version = "0.3.5"

 [[NearestNeighbors]]
 deps = ["Distances", "StaticArrays"]
 git-tree-sha1 = "16baacfdc8758bc374882566c9187e785e85c2f0"
 uuid = "b8a86587-4115-5ab1-83bc-aa920d37bbce"
 version = "0.4.9"

 [[Neighborhood]]
 deps = ["Distances", "NearestNeighbors", "Random", "Test"]
 git-tree-sha1 = "1159fcaf3b72923cf623b2748f238a5115ed2623"
 uuid = "645ca80c-8b79-4109-87ea-e1f58159d116"
 version = "0.2.3"

 [[NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"

 [[NonlinearSolve]]
 deps = ["ArrayInterface", "FiniteDiff", "ForwardDiff", "IterativeSolvers", "LinearAlgebra", "RecursiveArrayTools", "RecursiveFactorization", "Reexport", "SciMLBase", "Setfield", "StaticArrays", "UnPack"]
 git-tree-sha1 = "e9ffc92217b8709e0cf7b8808f6223a4a0936c95"
 uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
 version = "0.3.11"

 [[OffsetArrays]]
 deps = ["Adapt"]
 git-tree-sha1 = "c0e9e582987d36d5a61e650e6e543b9e44d9914b"
 uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
 version = "1.10.7"

 [[Ogg_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "7937eda4681660b4d6aeeecc2f7e1c81c8ee4e2f"
 uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
 version = "1.3.5+0"

 [[OpenLibm_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "05823500-19ac-5b8b-9628-191a04bc5112"

 [[OpenSSL_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "15003dcb7d8db3c6c857fda14891a539a8f2705a"
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
 version = "1.1.10+0"

 [[OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
 uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
 version = "0.5.5+0"

 [[Opus_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
 uuid = "91d4177d-7536-5919-b921-800302f37372"
 version = "1.3.2+0"

 [[OrderedCollections]]
 git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
 version = "1.4.1"

 [[PCRE_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "b2a7af664e098055a7529ad1a900ded962bca488"
 uuid = "2f80f16e-611a-54ab-bc61-aa92de5b98fc"
 version = "8.44.0+0"

 [[PDMats]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
 git-tree-sha1 = "4dd403333bcf0909341cfe57ec115152f937d7d8"
 uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
 version = "0.11.1"

 [[Parameters]]
 deps = ["OrderedCollections", "UnPack"]
 git-tree-sha1 = "34c0e9ad262e5f7fc75b10a9952ca7692cfc5fbe"
 uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
 version = "0.12.3"

 [[Parsers]]
 deps = ["Dates"]
 git-tree-sha1 = "f19e978f81eca5fd7620650d7dbea58f825802ee"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
 version = "2.1.0"

 [[Pixman_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
 uuid = "30392449-352a-5448-841d-b1acce4e97dc"
 version = "0.40.1+0"

 [[Pkg]]
 deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
 uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"

 [[PlotThemes]]
 deps = ["PlotUtils", "Requires", "Statistics"]
 git-tree-sha1 = "a3a964ce9dc7898193536002a6dd892b1b5a6f1d"
 uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
 version = "2.0.1"

 [[PlotUtils]]
 deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "Statistics"]
 git-tree-sha1 = "b084324b4af5a438cd63619fd006614b3b20b87b"
 uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
 version = "1.0.15"

 [[Plots]]
 deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "GeometryBasics", "JSON", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "PlotThemes", "PlotUtils", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs"]
 git-tree-sha1 = "68a8a1f4d5763271d38847f0e22d67a7a61b6565"
 uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
 version = "1.23.0"

 [[PlutoUI]]
 deps = ["Base64", "Dates", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "Markdown", "Random", "Reexport", "UUIDs"]
 git-tree-sha1 = "4c8a7d080daca18545c56f1cac28710c362478f3"
 uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
 version = "0.7.16"

 [[Polyester]]
 deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Requires", "Static", "StrideArraysCore", "ThreadingUtilities"]
 git-tree-sha1 = "892b8d9dd3c7987a4d0fd320f0a421dd90b5d09d"
 uuid = "f517fe37-dbe3-4b94-8317-1923a5111588"
 version = "0.5.4"

 [[PolyesterWeave]]
 deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"]
 git-tree-sha1 = "a3ff99bf561183ee20386aec98ab8f4a12dc724a"
 uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad"
 version = "0.1.2"

 [[Polynomials]]
 deps = ["Intervals", "LinearAlgebra", "OffsetArrays", "RecipesBase"]
 git-tree-sha1 = "0b15f3597b01eb76764dd03c3c23d6679a3c32c8"
 uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
 version = "1.2.1"

 [[PreallocationTools]]
 deps = ["ArrayInterface", "ForwardDiff", "LabelledArrays"]
 git-tree-sha1 = "361c1f60ffdeeddf02f36b463ab8b138194e5f25"
 uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
 version = "0.1.1"

 [[Preferences]]
 deps = ["TOML"]
 git-tree-sha1 = "00cfd92944ca9c760982747e9a1d0d5d86ab1e5a"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
 version = "1.2.2"

 [[Printf]]
 deps = ["Unicode"]
 uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

 [[ProgressMeter]]
 deps = ["Distributed", "Printf"]
 git-tree-sha1 = "afadeba63d90ff223a6a48d2009434ecee2ec9e8"
 uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
 version = "1.7.1"

 [[Qt5Base_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "xkbcommon_jll"]
 git-tree-sha1 = "ad368663a5e20dbb8d6dc2fddeefe4dae0781ae8"
 uuid = "ea2cea3b-5b76-57ae-a6ef-0a8af62496e1"
 version = "5.15.3+0"

 [[QuadGK]]
 deps = ["DataStructures", "LinearAlgebra"]
 git-tree-sha1 = "78aadffb3efd2155af139781b8a8df1ef279ea39"
 uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
 version = "2.4.2"

 [[REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
 uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

 [[Random]]
 deps = ["Serialization"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

 [[RecipesBase]]
 git-tree-sha1 = "44a75aa7a527910ee3d1751d1f0e4148698add9e"
 uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
 version = "1.1.2"

 [[RecipesPipeline]]
 deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase"]
 git-tree-sha1 = "7ad0dfa8d03b7bcf8c597f59f5292801730c55b8"
 uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
 version = "0.4.1"

 [[RecurrenceAnalysis]]
 deps = ["DelayEmbeddings", "DelimitedFiles", "Distances", "LightGraphs", "LinearAlgebra", "Random", "SparseArrays", "StaticArrays", "Statistics", "UnicodePlots"]
 git-tree-sha1 = "856215d9c88fde872b2219c866e6efeba258b2d7"
 uuid = "639c3291-70d9-5ea2-8c5b-839eba1ee399"
 version = "1.6.1"

 [[RecursiveArrayTools]]
 deps = ["ArrayInterface", "ChainRulesCore", "DocStringExtensions", "FillArrays", "LinearAlgebra", "RecipesBase", "Requires", "StaticArrays", "Statistics", "ZygoteRules"]
 git-tree-sha1 = "c944fa4adbb47be43376359811c0a14757bdc8a8"
 uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
 version = "2.20.0"

 [[RecursiveFactorization]]
 deps = ["LinearAlgebra", "LoopVectorization", "Polyester", "StrideArraysCore", "TriangularSolve"]
 git-tree-sha1 = "575c18c6b00ce409f75d96fefe33ebe01575457a"
 uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
 version = "0.2.4"

 [[Reexport]]
 git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
 uuid = "189a3867-3050-52da-a836-e630ba90ab69"
 version = "1.2.2"

 [[Requires]]
 deps = ["UUIDs"]
 git-tree-sha1 = "4036a3bd08ac7e968e27c203d45f5fff15020621"
 uuid = "ae029012-a4dd-5104-9daa-d747884805df"
 version = "1.1.3"

 [[Richardson]]
 deps = ["LinearAlgebra"]
 git-tree-sha1 = "e03ca566bec93f8a3aeb059c8ef102f268a38949"
 uuid = "708f8203-808e-40c0-ba2d-98a6953ed40d"
 version = "1.4.0"

 [[Rmath]]
 deps = ["Random", "Rmath_jll"]
 git-tree-sha1 = "bf3188feca147ce108c76ad82c2792c57abe7b1f"
 uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
 version = "0.7.0"

 [[Rmath_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "68db32dff12bb6127bac73c209881191bf0efbb7"
 uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
 version = "0.3.0+0"

 [[Roots]]
 deps = ["CommonSolve", "Printf", "Setfield"]
 git-tree-sha1 = "6f17bbb331a75823067a2d6fb182f95048397b3d"
 uuid = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"
 version = "1.3.5"

 [[RoundingEmulator]]
 git-tree-sha1 = "40b9edad2e5287e05bd413a38f61a8ff55b9557b"
 uuid = "5eaf0fd0-dfba-4ccb-bf02-d820a40db705"
 version = "0.2.1"

 [[SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"

 [[SIMDDualNumbers]]
 deps = ["ForwardDiff", "IfElse", "SLEEFPirates", "VectorizationBase"]
 git-tree-sha1 = "62c2da6eb66de8bb88081d20528647140d4daa0e"
 uuid = "3cdde19b-5bb0-4aaf-8931-af3e248e098b"
 version = "0.1.0"

 [[SIMDTypes]]
 git-tree-sha1 = "330289636fb8107c5f32088d2741e9fd7a061a5c"
 uuid = "94e857df-77ce-4151-89e5-788b33177be4"
 version = "0.1.0"

 [[SLEEFPirates]]
 deps = ["IfElse", "Static", "VectorizationBase"]
 git-tree-sha1 = "1410aad1c6b35862573c01b96cd1f6dbe3979994"
 uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
 version = "0.6.28"

 [[SciMLBase]]
 deps = ["ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "RecipesBase", "RecursiveArrayTools", "StaticArrays", "Statistics", "Tables", "TreeViews"]
 git-tree-sha1 = "f280844f86d97f5759bdb7a18721583a80cfbe5b"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
 version = "1.19.2"

 [[Scratch]]
 deps = ["Dates"]
 git-tree-sha1 = "0b4b7f1393cff97c33891da2a0bf69c6ed241fda"
 uuid = "6c6a2e73-6563-6170-7368-637461726353"
 version = "1.1.0"

 [[Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

 [[SetRounding]]
 git-tree-sha1 = "d7a25e439d07a17b7cdf97eecee504c50fedf5f6"
 uuid = "3cc68bcd-71a2-5612-b932-767ffbe40ab0"
 version = "0.2.1"

 [[Setfield]]
 deps = ["ConstructionBase", "Future", "MacroTools", "Requires"]
 git-tree-sha1 = "def0718ddbabeb5476e51e5a43609bee889f285d"
 uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
 version = "0.8.0"

 [[SharedArrays]]
 deps = ["Distributed", "Mmap", "Random", "Serialization"]
 uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"

 [[Showoff]]
 deps = ["Dates", "Grisu"]
 git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
 uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
 version = "1.0.3"

 [[SimpleDiffEq]]
 deps = ["DiffEqBase", "MuladdMacro", "RecursiveArrayTools", "Reexport", "StaticArrays"]
 git-tree-sha1 = "f8711f4e31bc8c10e59fd698bef155ab9278a50a"
 uuid = "05bca326-078c-5bf0-a5bf-ce7c7982d7fd"
 version = "1.5.1"

 [[SimpleTraits]]
 deps = ["InteractiveUtils", "MacroTools"]
 git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
 uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
 version = "0.9.4"

 [[Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

 [[SortingAlgorithms]]
 deps = ["DataStructures"]
 git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
 uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
 version = "1.0.1"

 [[SparseArrays]]
 deps = ["LinearAlgebra", "Random"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

 [[SpecialFunctions]]
 deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
 git-tree-sha1 = "2d57e14cd614083f132b6224874296287bfa3979"
 uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
 version = "1.8.0"

 [[Static]]
 deps = ["IfElse"]
 git-tree-sha1 = "e7bc80dc93f50857a5d1e3c8121495852f407e6a"
 uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
 version = "0.4.0"

 [[StaticArrays]]
 deps = ["LinearAlgebra", "Random", "Statistics"]
 git-tree-sha1 = "3c76dde64d03699e074ac02eb2e8ba8254d428da"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
 version = "1.2.13"

 [[Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

 [[StatsAPI]]
 git-tree-sha1 = "1958272568dc176a1d881acb797beb909c785510"
 uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
 version = "1.0.0"

 [[StatsBase]]
 deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
 git-tree-sha1 = "eb35dcc66558b2dda84079b9a1be17557d32091a"
 uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
 version = "0.33.12"

 [[StatsFuns]]
 deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
 git-tree-sha1 = "95072ef1a22b057b1e80f73c2a89ad238ae4cfff"
 uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
 version = "0.9.12"

 [[StrideArraysCore]]
 deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "ManualMemory", "Requires", "SIMDTypes", "Static", "ThreadingUtilities"]
 git-tree-sha1 = "4bed70d731792750aa2a71cc424db90917d588d3"
 uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
 version = "0.2.7"

 [[StructArrays]]
 deps = ["Adapt", "DataAPI", "StaticArrays", "Tables"]
 git-tree-sha1 = "2ce41e0d042c60ecd131e9fb7154a3bfadbf50d3"
 uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
 version = "0.6.3"

 [[SuiteSparse]]
 deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
 uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"

 [[TOML]]
 deps = ["Dates"]
 uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"

 [[TableTraits]]
 deps = ["IteratorInterfaceExtensions"]
 git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
 uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
 version = "1.0.1"

 [[Tables]]
 deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "TableTraits", "Test"]
 git-tree-sha1 = "fed34d0e71b91734bf0a7e10eb1bb05296ddbcd0"
 uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
 version = "1.6.0"

 [[Tar]]
 deps = ["ArgTools", "SHA"]
 uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"

 [[Test]]
 deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
 uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

 [[ThreadingUtilities]]
 deps = ["ManualMemory"]
 git-tree-sha1 = "03013c6ae7f1824131b2ae2fc1d49793b51e8394"
 uuid = "8290d209-cae3-49c0-8002-c8c24d57dab5"
 version = "0.4.6"

 [[TimeZones]]
 deps = ["Dates", "Downloads", "InlineStrings", "LazyArtifacts", "Mocking", "Pkg", "Printf", "RecipesBase", "Serialization", "Unicode"]
 git-tree-sha1 = "b4c6460412b1db0b4f1679ab2d5ef72568a14a57"
 uuid = "f269a46b-ccf7-5d73-abea-4c690281aa53"
 version = "1.6.1"

 [[TreeViews]]
 deps = ["Test"]
 git-tree-sha1 = "8d0d7a3fe2f30d6a7f833a5f19f7c7a5b396eae6"
 uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
 version = "0.3.0"

 [[TriangularSolve]]
 deps = ["CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "LoopVectorization", "Polyester", "Static", "VectorizationBase"]
 git-tree-sha1 = "0b1ebe472e3e682550fcdaeb9bb8856604133353"
 uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
 version = "0.1.7"

 [[URIs]]
 git-tree-sha1 = "97bbe755a53fe859669cd907f2d96aee8d2c1355"
 uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
 version = "1.3.0"

 [[UUIDs]]
 deps = ["Random", "SHA"]
 uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

 [[UnPack]]
 git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
 uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
 version = "1.0.2"

 [[Unicode]]
 uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

 [[UnicodePlots]]
 deps = ["Crayons", "Dates", "SparseArrays", "StatsBase"]
 git-tree-sha1 = "f1d09f14722f5f3cef029bcb031be91a92613ae9"
 uuid = "b8865327-cd53-5732-bb35-84acbb429228"
 version = "2.4.6"

 [[VectorizationBase]]
 deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "Hwloc", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static"]
 git-tree-sha1 = "05bcdb635b4e4dbbee66d3a3d39d852c4c849f19"
 uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
 version = "0.21.18"

 [[Wavelets]]
 deps = ["DSP", "FFTW", "LinearAlgebra", "Reexport", "SpecialFunctions", "Statistics"]
 git-tree-sha1 = "e5903fb2bf93697a79d01383618ea0855256a337"
 uuid = "29a6e085-ba6d-5f35-a997-948ac2efa89a"
 version = "0.9.3"

 [[Wayland_jll]]
 deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
 git-tree-sha1 = "3e61f0b86f90dacb0bc0e73a0c5a83f6a8636e23"
 uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
 version = "1.19.0+0"

 [[Wayland_protocols_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll"]
 git-tree-sha1 = "2839f1c1296940218e35df0bbb220f2a79686670"
 uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
 version = "1.18.0+4"

 [[XML2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
 git-tree-sha1 = "1acf5bdf07aa0907e0a37d3718bb88d4b687b74a"
 uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
 version = "2.9.12+0"

 [[XSLT_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
 git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a"
 uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
 version = "1.1.34+0"

 [[Xorg_libX11_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
 git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527"
 uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
 version = "1.6.9+4"

 [[Xorg_libXau_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
 uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
 version = "1.0.9+4"

 [[Xorg_libXcursor_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
 git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
 uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
 version = "1.2.0+4"

 [[Xorg_libXdmcp_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
 uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
 version = "1.1.3+4"

 [[Xorg_libXext_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
 git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3"
 uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
 version = "1.3.4+4"

 [[Xorg_libXfixes_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
 git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
 uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
 version = "5.0.3+4"

 [[Xorg_libXi_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
 git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
 uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
 version = "1.7.10+4"

 [[Xorg_libXinerama_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
 git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
 uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
 version = "1.1.4+4"

 [[Xorg_libXrandr_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
 git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
 uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
 version = "1.5.2+4"

 [[Xorg_libXrender_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
 git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96"
 uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
 version = "0.9.10+4"

 [[Xorg_libpthread_stubs_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
 uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
 version = "0.1.0+3"

 [[Xorg_libxcb_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
 git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6"
 uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
 version = "1.13.0+3"

 [[Xorg_libxkbfile_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
 git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2"
 uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
 version = "1.1.0+4"

 [[Xorg_xcb_util_image_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
 git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
 uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
 version = "0.4.0+1"

 [[Xorg_xcb_util_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
 git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
 uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
 version = "0.4.0+1"

 [[Xorg_xcb_util_keysyms_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
 git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
 uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
 version = "0.4.0+1"

 [[Xorg_xcb_util_renderutil_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
 git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
 uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
 version = "0.3.9+1"

 [[Xorg_xcb_util_wm_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
 git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
 uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
 version = "0.4.1+1"

 [[Xorg_xkbcomp_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"]
 git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b"
 uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
 version = "1.4.2+4"

 [[Xorg_xkeyboard_config_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"]
 git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d"
 uuid = "33bec58e-1273-512f-9401-5d533626f822"
 version = "2.27.0+4"

 [[Xorg_xtrans_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
 uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
 version = "1.4.0+3"

 [[Zlib_jll]]
 deps = ["Libdl"]
 uuid = "83775a58-1f1d-513f-b197-d71354ab007a"

 [[Zstd_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "cc4bf3fdde8b7e3e9fa0351bdeedba1cf3b7f6e6"
 uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
 version = "1.5.0+0"

 [[ZygoteRules]]
 deps = ["MacroTools"]
 git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0"
 uuid = "700de1a5-db45-46bc-99cf-38207098b444"
 version = "0.2.2"

 [[libass_jll]]
 deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
 git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
 uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
 version = "0.15.1+0"

 [[libfdk_aac_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
 uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
 version = "2.0.2+0"

 [[libpng_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
 git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
 uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
 version = "1.6.38+0"

 [[libvorbis_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
 git-tree-sha1 = "c45f4e40e7aafe9d086379e5578947ec8b95a8fb"
 uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
 version = "1.3.7+0"

 [[nghttp2_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"

 [[p7zip_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"

 [[x264_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
 uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
 version = "2021.5.5+0"

 [[x265_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
 uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
 version = "3.5.0+0"

 [[xkbcommon_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
 git-tree-sha1 = "ece2350174195bb31de1a63bea3a41ae1aa593b6"
 uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
 version = "0.9.1+5"
 """

 # ╔═╡ Cell order:
 # ╠═4bfd3a24-3594-11ec-267f-e36cee8ea81b
 # ╠═7c0566ff-36eb-4edf-b314-aaa089b60ee9
 # ╠═01f66f30-3fe9-4ea7-8fb7-2612552f11e5
 # ╠═a9f0d12d-25a7-443c-ab30-6fa488e4f62c
 # ╠═487619ba-0eb1-4082-8c59-a46db76405c2
 # ╠═1a92dc4b-8236-48a5-ad72-c195c7e32cd6
 # ╠═bc17a899-30b8-4d83-98df-d6f779a63403
 # ╠═8479e3fe-47e2-4069-a73b-e68f304e5882
 # ╠═f69a9dcc-fad8-4b9e-a65c-67bcd9de8706
 # ╠═685f3d40-bff3-41c0-8644-02b37dbffc57
 # ╠═112eecd4-0039-48a3-b505-0e347c8bf29a
 # ╠═5c99dd87-b766-46fc-8dbe-77540232f36b
 # ╠═714ad211-91a2-420c-8c9d-5768391c5b83
 # ╟─00000000-0000-0000-0000-000000000001
 # ╟─00000000-0000-0000-0000-000000000002