# This file is machine-generated - editing it directly is not advised

julia_version = "1.8.5"
manifest_format = "2.0"
project_hash = "5452e4eb8836d03e65c342a444826b894c3e14dc"

[[deps.AbstractAlgebra]]
deps = ["GroupsCore", "InteractiveUtils", "LinearAlgebra", "MacroTools", "Markdown", "Random", "RandomExtensions", "SparseArrays", "Test"]
git-tree-sha1 = "29e65c331f97db9189ef00a4c7aed8127c2fd2d4"
uuid = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
version = "0.27.10"

[[deps.Accessors]]
deps = ["Compat", "CompositionsBase", "ConstructionBase", "Dates", "InverseFunctions", "LinearAlgebra", "MacroTools", "Requires", "StaticArrays", "Test"]
git-tree-sha1 = "beabc31fa319f9de4d16372bff31b4801e43d32c"
uuid = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697"
version = "0.1.28"

[[deps.Adapt]]
deps = ["LinearAlgebra", "Requires"]
git-tree-sha1 = "cc37d689f599e8df4f464b2fa3870ff7db7492ef"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "3.6.1"

[[deps.ArgCheck]]
git-tree-sha1 = "a3a402a35a2f7e0b87828ccabbd5ebfbebe356b4"
uuid = "dce04be8-c92d-5529-be00-80e4d2c0e197"
version = "2.3.0"

[[deps.ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
version = "1.1.1"

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

[[deps.BangBang]]
deps = ["Compat", "ConstructionBase", "Future", "InitialValues", "LinearAlgebra", "Requires", "Setfield", "Tables", "ZygoteRules"]
git-tree-sha1 = "7fe6d92c4f281cf4ca6f2fba0ce7b299742da7ca"
uuid = "198e06fe-97b7-11e9-32a5-e1d131e6ad66"
version = "0.3.37"

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

[[deps.Baselet]]
git-tree-sha1 = "aebf55e6d7795e02ca500a689d326ac979aaf89e"
uuid = "9718e550-a3fa-408a-8086-8db961cd8217"
version = "0.1.1"

[[deps.BenchmarkTools]]
deps = ["JSON", "Logging", "Printf", "Profile", "Statistics", "UUIDs"]
git-tree-sha1 = "d9a9701b899b30332bbcb3e1679c41cce81fb0e8"
uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
version = "1.3.2"

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

[[deps.CRlibm]]
deps = ["CRlibm_jll"]
git-tree-sha1 = "32abd86e3c2025db5172aa182b982debed519834"
uuid = "96374032-68de-5a5b-8d9e-752f78720389"
version = "1.0.1"

[[deps.CRlibm_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "e329286945d0cfc04456972ea732551869af1cfc"
uuid = "4e9b3aee-d8a1-5a3d-ad8b-7d824db253f0"
version = "1.0.1+0"

[[deps.ChainRulesCore]]
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "c6d890a52d2c4d55d326439580c3b8d0875a77d9"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "1.15.7"

[[deps.ChangesOfVariables]]
deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
git-tree-sha1 = "485193efd2176b88e6622a39a246f8c5b600e74e"
uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
version = "0.1.6"

[[deps.CodecBzip2]]
deps = ["Bzip2_jll", "Libdl", "TranscodingStreams"]
git-tree-sha1 = "2e62a725210ce3c3c2e1a3080190e7ca491f18d7"
uuid = "523fee87-0ab8-5b00-afb7-3ecf72e48cfd"
version = "0.7.2"

[[deps.CodecZlib]]
deps = ["TranscodingStreams", "Zlib_jll"]
git-tree-sha1 = "9c209fb7536406834aa938fb149964b985de6c83"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.7.1"

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

[[deps.Compat]]
deps = ["Dates", "LinearAlgebra", "UUIDs"]
git-tree-sha1 = "7a60c856b9fa189eb34f5f8a6f6b5529b7942957"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "4.6.1"

[[deps.CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
version = "1.0.1+0"

[[deps.CompositionsBase]]
git-tree-sha1 = "455419f7e328a1a2493cabc6428d79e951349769"
uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b"
version = "0.1.1"

[[deps.ConstructionBase]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "89a9db8d28102b094992472d333674bd1a83ce2a"
uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
version = "1.5.1"

[[deps.Cyclotomics]]
deps = ["LRUCache", "Memoize", "Primes", "SparseArrays", "Test"]
git-tree-sha1 = "dc2e5fd64c188399434e83fa5c10c6fa4eff962a"
uuid = "da8f5974-afbb-4dc8-91d8-516d5257c83b"
version = "0.3.2"

[[deps.DataAPI]]
git-tree-sha1 = "e8119c1a33d267e16108be441a287a6981ba1630"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.14.0"

[[deps.DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.13"

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

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

[[deps.DefineSingletons]]
git-tree-sha1 = "0fba8b706d0178b4dc7fd44a96a92382c9065c2c"
uuid = "244e2a9f-e319-4986-a169-4d1fe445cd52"
version = "0.1.2"

[[deps.DiffResults]]
deps = ["StaticArraysCore"]
git-tree-sha1 = "782dd5f4561f5d267313f23853baaaa4c52ea621"
uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
version = "1.1.0"

[[deps.DiffRules]]
deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
git-tree-sha1 = "a4ad7ef19d2cdc2eff57abbbe68032b1cd0bd8f8"
uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
version = "1.13.0"

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

[[deps.DocStringExtensions]]
deps = ["LibGit2"]
git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.9.3"

[[deps.Downloads]]
deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
version = "1.6.0"

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

[[deps.ExternalDocstrings]]
git-tree-sha1 = "1224740fc4d07c989949e1c1b508ebd49a65a5f6"
uuid = "e189563c-0753-4f5e-ad5c-be4293c83fb4"
version = "0.1.1"

[[deps.FastRounding]]
deps = ["ErrorfreeArithmetic", "LinearAlgebra"]
git-tree-sha1 = "6344aa18f654196be82e62816935225b3b9abe44"
uuid = "fa42c844-2597-5d31-933b-ebd51ab2693f"
version = "0.3.1"

[[deps.FileWatching]]
uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"

[[deps.Folds]]
deps = ["Accessors", "BangBang", "Baselet", "DefineSingletons", "Distributed", "ExternalDocstrings", "InitialValues", "MicroCollections", "Referenceables", "Requires", "Test", "ThreadedScans", "Transducers"]
git-tree-sha1 = "638109532de382a1f99b1aae1ca8b5d08515d85a"
uuid = "41a02a25-b8f0-4f67-bc48-60067656b558"
version = "0.2.8"

[[deps.ForwardDiff]]
deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "00e252f4d706b3d55a8863432e742bf5717b498d"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.35"

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

[[deps.Groups]]
deps = ["Folds", "GroupsCore", "KnuthBendix", "LinearAlgebra", "Logging", "OrderedCollections", "PermutationGroups", "StaticArrays"]
git-tree-sha1 = "5dbf642ee0048e6ad5f0bda11af17e40b8e8dd2f"
uuid = "5d8bd718-bd84-11e8-3b40-ad14f4a32557"
version = "0.7.5"

[[deps.GroupsCore]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "9e1a5e9f3b81ad6a5c613d181664a0efc6fe6dd7"
uuid = "d5909c97-4eac-4ecc-a3dc-fdd0858a4120"
version = "0.4.0"

[[deps.InitialValues]]
git-tree-sha1 = "4da0f88e9a39111c2fa3add390ab15f3a44f3ca3"
uuid = "22cec73e-a1b8-11e9-2c92-598750a2cf9c"
version = "0.3.1"

[[deps.IntegerMathUtils]]
git-tree-sha1 = "f366daebdfb079fd1fe4e3d560f99a0c892e15bc"
uuid = "18e54dd8-cb9d-406c-a71d-865a43cbb235"
version = "0.1.0"

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

[[deps.IntervalArithmetic]]
deps = ["CRlibm", "FastRounding", "LinearAlgebra", "Markdown", "Random", "RecipesBase", "RoundingEmulator", "SetRounding", "StaticArrays"]
git-tree-sha1 = "c1c88395d09366dae431556bcb598ad08fa1392b"
uuid = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253"
version = "0.20.8"

[[deps.InverseFunctions]]
deps = ["Test"]
git-tree-sha1 = "49510dfcb407e572524ba94aeae2fced1f3feb0f"
uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
version = "0.1.8"

[[deps.IrrationalConstants]]
git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
version = "0.2.2"

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

[[deps.JLLWrappers]]
deps = ["Preferences"]
git-tree-sha1 = "abc9885a7ca2052a736a600f7fa66209f96506e1"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.4.1"

[[deps.JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "3c837543ddb02250ef42f4738347454f95079d4e"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.3"

[[deps.JuMP]]
deps = ["LinearAlgebra", "MathOptInterface", "MutableArithmetics", "OrderedCollections", "Printf", "SnoopPrecompile", "SparseArrays"]
git-tree-sha1 = "611b9f12f02c587d860c813743e6cec6264e94d8"
uuid = "4076af6c-e467-56ae-b986-b466b2749572"
version = "1.9.0"

[[deps.KnuthBendix]]
deps = ["MacroTools", "ProgressMeter"]
git-tree-sha1 = "a5ef62c9f2b4461b246a610b7402f5f2dbffbfaa"
uuid = "c2604015-7b3d-4a30-8a26-9074551ec60a"
version = "0.4.0"

[[deps.LRUCache]]
git-tree-sha1 = "d862633ef6097461037a00a13f709a62ae4bdfdd"
uuid = "8ac3fa9e-de4c-5943-b1dc-09c6b5f20637"
version = "1.4.0"

[[deps.LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
version = "0.6.3"

[[deps.LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
version = "7.84.0+0"

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

[[deps.LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
version = "1.10.2+0"

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

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

[[deps.LogExpFunctions]]
deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
git-tree-sha1 = "0a1b7c2863e44523180fdb3146534e265a91870b"
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
version = "0.3.23"

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

[[deps.MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "42324d08725e200c23d4dfb549e0d5d89dede2d2"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.10"

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

[[deps.MathOptInterface]]
deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "DataStructures", "ForwardDiff", "JSON", "LinearAlgebra", "MutableArithmetics", "NaNMath", "OrderedCollections", "Printf", "SnoopPrecompile", "SparseArrays", "SpecialFunctions", "Test", "Unicode"]
git-tree-sha1 = "f219b62e601c2f2e8adb7b6c48db8a9caf381c82"
uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
version = "1.13.1"

[[deps.MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
version = "2.28.0+0"

[[deps.Memoize]]
deps = ["MacroTools"]
git-tree-sha1 = "2b1dfcba103de714d31c033b5dacc2e4a12c7caa"
uuid = "c03570c3-d221-55d1-a50c-7939bbd78826"
version = "0.4.4"

[[deps.MicroCollections]]
deps = ["BangBang", "InitialValues", "Setfield"]
git-tree-sha1 = "629afd7d10dbc6935ec59b32daeb33bc4460a42e"
uuid = "128add7d-3638-4c79-886c-908ea0c25c34"
version = "0.1.4"

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

[[deps.MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
version = "2022.2.1"

[[deps.MutableArithmetics]]
deps = ["LinearAlgebra", "SparseArrays", "Test"]
git-tree-sha1 = "3295d296288ab1a0a2528feb424b854418acff57"
uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
version = "1.2.3"

[[deps.NaNMath]]
deps = ["OpenLibm_jll"]
git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "1.0.2"

[[deps.NetworkOptions]]
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
version = "1.2.0"

[[deps.OpenBLAS_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
version = "0.3.20+0"

[[deps.OpenLibm_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
version = "0.8.1+0"

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

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

[[deps.Parsers]]
deps = ["Dates", "SnoopPrecompile"]
git-tree-sha1 = "478ac6c952fddd4399e71d4779797c538d0ff2bf"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.5.8"

[[deps.PermutationGroups]]
deps = ["AbstractAlgebra", "GroupsCore", "Markdown", "Random"]
git-tree-sha1 = "1bfba1a836e2c085270d3f5657803e0902e20564"
uuid = "8bc5a954-2dfc-11e9-10e6-cd969bffa420"
version = "0.3.3"

[[deps.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"
version = "1.8.0"

[[deps.Preferences]]
deps = ["TOML"]
git-tree-sha1 = "47e5f437cc0e7ef2ce8406ce1e7e24d44915f88d"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.3.0"

[[deps.Primes]]
deps = ["IntegerMathUtils"]
git-tree-sha1 = "311a2aa90a64076ea0fac2ad7492e914e6feeb81"
uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae"
version = "0.5.3"

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

[[deps.Profile]]
deps = ["Printf"]
uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"

[[deps.ProgressMeter]]
deps = ["Distributed", "Printf"]
git-tree-sha1 = "d7a7aef8f8f2d537104f170139553b14dfe39fe9"
uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
version = "1.7.2"

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

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

[[deps.RandomExtensions]]
deps = ["Random", "SparseArrays"]
git-tree-sha1 = "062986376ce6d394b23d5d90f01d81426113a3c9"
uuid = "fb686558-2515-59ef-acaa-46db3789a887"
version = "0.4.3"

[[deps.RecipesBase]]
deps = ["SnoopPrecompile"]
git-tree-sha1 = "261dddd3b862bd2c940cf6ca4d1c8fe593e457c8"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "1.3.3"

[[deps.Referenceables]]
deps = ["Adapt"]
git-tree-sha1 = "e681d3bfa49cd46c3c161505caddf20f0e62aaa9"
uuid = "42d2dcc6-99eb-4e98-b66c-637b7d73030e"
version = "0.1.2"

[[deps.Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.3.0"

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

[[deps.SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
version = "0.7.0"

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

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

[[deps.Setfield]]
deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac"
uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
version = "1.1.1"

[[deps.SnoopPrecompile]]
deps = ["Preferences"]
git-tree-sha1 = "e760a70afdcd461cf01a575947738d359234665c"
uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c"
version = "1.0.3"

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

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

[[deps.SpecialFunctions]]
deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
git-tree-sha1 = "ef28127915f4229c971eb43f3fc075dd3fe91880"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "2.2.0"

[[deps.SplittablesBase]]
deps = ["Setfield", "Test"]
git-tree-sha1 = "e08a62abc517eb79667d0a29dc08a3b589516bb5"
uuid = "171d559e-b47b-412a-8079-5efa626c420e"
version = "0.1.15"

[[deps.StarAlgebras]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "265b89a5dfb38fe94ad48b997a253b2393fce6f1"
uuid = "0c0c59c1-dc5f-42e9-9a8b-b5dc384a6cd1"
version = "0.2.0"

[[deps.StaticArrays]]
deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"]
git-tree-sha1 = "6aa098ef1012364f2ede6b17bf358c7f1fbe90d4"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.5.17"

[[deps.StaticArraysCore]]
git-tree-sha1 = "6b7ba252635a5eff6a0b0664a41ee140a1c9e72a"
uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
version = "1.4.0"

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

[[deps.SymbolicWedderburn]]
deps = ["Cyclotomics", "GroupsCore", "LinearAlgebra", "PermutationGroups", "Primes", "SparseArrays", "StarAlgebras"]
git-tree-sha1 = "3a098aae261c4c57d6ee41dab62973065f0cb68b"
repo-rev = "enh/towards_simple_projections"
repo-url = "https://github.com/kalmarek/SymbolicWedderburn.jl.git"
uuid = "858aa9a9-4c7c-4c62-b466-2421203962a2"
version = "0.3.4"

[[deps.TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
version = "1.0.0"

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

[[deps.Tables]]
deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"]
git-tree-sha1 = "1544b926975372da01227b382066ab70e574a3ec"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.10.1"

[[deps.Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
version = "1.10.1"

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

[[deps.ThreadedScans]]
deps = ["ArgCheck"]
git-tree-sha1 = "ca1ba3000289eacba571aaa4efcefb642e7a1de6"
uuid = "24d252fe-5d94-4a69-83ea-56a14333d47a"
version = "0.1.0"

[[deps.TranscodingStreams]]
deps = ["Random", "Test"]
git-tree-sha1 = "94f38103c984f89cf77c402f2a68dbd870f8165f"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.9.11"

[[deps.Transducers]]
deps = ["Adapt", "ArgCheck", "BangBang", "Baselet", "CompositionsBase", "DefineSingletons", "Distributed", "InitialValues", "Logging", "Markdown", "MicroCollections", "Requires", "Setfield", "SplittablesBase", "Tables"]
git-tree-sha1 = "c42fa452a60f022e9e087823b47e5a5f8adc53d5"
uuid = "28d57a85-8fef-5791-bfe6-a80928e7c999"
version = "0.4.75"

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

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

[[deps.Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
version = "1.2.12+3"

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

[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl", "OpenBLAS_jll"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
version = "5.1.1+0"

[[deps.nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
version = "1.48.0+0"

[[deps.p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
version = "17.4.0+0"