diff --git a/Manifest.toml b/Manifest.toml
index 9203395..a7801f9 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -1,19 +1,19 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.10.0"
+julia_version = "1.10.4"
 manifest_format = "2.0"
 project_hash = "7e0d4e675a818435e13b52e2c09aa067729b86ef"
 
 [[deps.ADNLPModels]]
 deps = ["ADTypes", "ForwardDiff", "LinearAlgebra", "NLPModels", "Requires", "ReverseDiff", "SparseArrays", "SparseConnectivityTracer", "SparseMatrixColorings"]
-git-tree-sha1 = "ad4682ad3f6da4246a5a5408593e5824d949e5a0"
+git-tree-sha1 = "1575e111b835e27963f3570c45d48c29a0907036"
 uuid = "54578032-b7ea-4c30-94aa-7cbd1cce6c9a"
-version = "0.8.2"
+version = "0.8.4"
 
 [[deps.ADTypes]]
-git-tree-sha1 = "2314e58e823f0fd6ee02dbbecb997370f501dd4a"
+git-tree-sha1 = "6778bcc27496dae5723ff37ee30af451db8b35fe"
 uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
-version = "1.5.0"
+version = "1.6.2"
 weakdeps = ["ChainRulesCore", "EnzymeCore"]
 
     [deps.ADTypes.extensions]
@@ -50,9 +50,9 @@ version = "0.4.5"
 
 [[deps.Accessors]]
 deps = ["CompositionsBase", "ConstructionBase", "Dates", "InverseFunctions", "LinearAlgebra", "MacroTools", "Markdown", "Test"]
-git-tree-sha1 = "c0d491ef0b135fd7d63cbc6404286bc633329425"
+git-tree-sha1 = "f61b15be1d76846c0ce31d3fcfac5380ae53db6a"
 uuid = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697"
-version = "0.1.36"
+version = "0.1.37"
 
     [deps.Accessors.extensions]
     AccessorsAxisKeysExt = "AxisKeys"
@@ -96,10 +96,10 @@ uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
 version = "0.4.0"
 
 [[deps.ArrayInterface]]
-deps = ["Adapt", "LinearAlgebra", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "ed2ec3c9b483842ae59cd273834e5b46206d6dda"
+deps = ["Adapt", "LinearAlgebra"]
+git-tree-sha1 = "f54c23a5d304fb87110de62bace7777d59088c34"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "7.11.0"
+version = "7.15.0"
 
     [deps.ArrayInterface.extensions]
     ArrayInterfaceBandedMatricesExt = "BandedMatrices"
@@ -109,6 +109,7 @@ version = "7.11.0"
     ArrayInterfaceChainRulesExt = "ChainRules"
     ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
     ArrayInterfaceReverseDiffExt = "ReverseDiff"
+    ArrayInterfaceSparseArraysExt = "SparseArrays"
     ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
     ArrayInterfaceTrackerExt = "Tracker"
 
@@ -120,14 +121,15 @@ version = "7.11.0"
     ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
     GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
     ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
     StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
 
 [[deps.ArrayLayouts]]
 deps = ["FillArrays", "LinearAlgebra"]
-git-tree-sha1 = "420e2853770f50e5306b9d96b5a66f26e7c73bc6"
+git-tree-sha1 = "ce2ca959f932f5dad70697dd93133d1167cf1e4e"
 uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
-version = "1.9.4"
+version = "1.10.2"
 weakdeps = ["SparseArrays"]
 
     [deps.ArrayLayouts.extensions]
@@ -146,15 +148,15 @@ uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
 version = "1.5.0"
 
 [[deps.Bijections]]
-git-tree-sha1 = "c9b163bd832e023571e86d0b90d9de92a9879088"
+git-tree-sha1 = "95f5c7e2d177b7ba1a240b0518038b975d72a8c0"
 uuid = "e2ed5e7c-b2de-5872-ae92-c73ca462fb04"
-version = "0.1.6"
+version = "0.1.7"
 
 [[deps.BitTwiddlingConvenienceFunctions]]
 deps = ["Static"]
-git-tree-sha1 = "0c5f81f47bbbcf4aea7b2959135713459170798b"
+git-tree-sha1 = "f21cfd4950cb9f0587d5067e69405ad2acd27b87"
 uuid = "62783981-4cbd-42fc-bca8-16325de8dc4b"
-version = "0.1.5"
+version = "0.1.6"
 
 [[deps.Bzip2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -169,9 +171,9 @@ version = "0.5.0"
 
 [[deps.CPUSummary]]
 deps = ["CpuId", "IfElse", "PrecompileTools", "Static"]
-git-tree-sha1 = "585a387a490f1c4bd88be67eea15b93da5e85db7"
+git-tree-sha1 = "5a97e67919535d6841172016c9530fd69494e5ec"
 uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
-version = "0.2.5"
+version = "0.2.6"
 
 [[deps.CRlibm]]
 deps = ["CRlibm_jll"]
@@ -215,21 +217,21 @@ weakdeps = ["SparseArrays"]
 
 [[deps.CloseOpenIntervals]]
 deps = ["Static", "StaticArrayInterface"]
-git-tree-sha1 = "70232f82ffaab9dc52585e0dd043b5e0c6b714f1"
+git-tree-sha1 = "05ba0d07cd4fd8b7a39541e31a7b0254704ea581"
 uuid = "fb6a15b2-703c-40df-9091-08a04967cfa9"
-version = "0.1.12"
+version = "0.1.13"
 
 [[deps.CodecBzip2]]
 deps = ["Bzip2_jll", "Libdl", "TranscodingStreams"]
-git-tree-sha1 = "9b1ca1aa6ce3f71b3d1840c538a8210a043625eb"
+git-tree-sha1 = "f8889d1770addf59d0a015c49a473fa2bdb9f809"
 uuid = "523fee87-0ab8-5b00-afb7-3ecf72e48cfd"
-version = "0.8.2"
+version = "0.8.3"
 
 [[deps.CodecZlib]]
 deps = ["TranscodingStreams", "Zlib_jll"]
-git-tree-sha1 = "59939d8a997469ee05c4b4944560a820f9ba0d73"
+git-tree-sha1 = "b8fe8546d52ca154ac556809e10c75e6e7430ac8"
 uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
-version = "0.7.4"
+version = "0.7.5"
 
 [[deps.Combinatorics]]
 git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
@@ -253,6 +255,11 @@ git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
 uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
 version = "0.3.0"
 
+[[deps.CommonWorldInvalidations]]
+git-tree-sha1 = "ae52d1c52048455e85a387fbee9be553ec2b68d0"
+uuid = "f70d9fcc-98c5-4d4a-abd7-e4cdeebd8ca8"
+version = "1.0.0"
+
 [[deps.Compat]]
 deps = ["TOML", "UUIDs"]
 git-tree-sha1 = "b1c55339b7c6c350ee89f2c1604299660525b248"
@@ -266,7 +273,7 @@ weakdeps = ["Dates", "LinearAlgebra"]
 [[deps.CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
-version = "1.0.5+1"
+version = "1.1.1+0"
 
 [[deps.CompositeTypes]]
 git-tree-sha1 = "bce26c3dab336582805503bed209faab1c279768"
@@ -295,9 +302,9 @@ version = "0.1.2"
 
 [[deps.ConstructionBase]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "260fd2400ed2dab602a7c15cf10c1933c59930a2"
+git-tree-sha1 = "d8a9c0b6ac2d9081bf76324b39c78ca3ce4f0c98"
 uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
-version = "1.5.5"
+version = "1.5.6"
 weakdeps = ["IntervalSets", "StaticArrays"]
 
     [deps.ConstructionBase.extensions]
@@ -315,6 +322,12 @@ git-tree-sha1 = "249fe38abf76d48563e2f4556bebd215aa317e15"
 uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
 version = "4.1.1"
 
+[[deps.DSP]]
+deps = ["Compat", "FFTW", "IterTools", "LinearAlgebra", "Polynomials", "Random", "Reexport", "SpecialFunctions", "Statistics"]
+git-tree-sha1 = "f7f4319567fe769debfcf7f8c03d8da1dd4e2fb0"
+uuid = "717857b8-e6f2-59f4-9121-6e50c889abd2"
+version = "0.7.9"
+
 [[deps.DataAPI]]
 git-tree-sha1 = "abe83f3a2f1b857aac70ef8b269080af17764bbe"
 uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
@@ -335,11 +348,17 @@ version = "1.0.0"
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 
+[[deps.Dictionaries]]
+deps = ["Indexing", "Random", "Serialization"]
+git-tree-sha1 = "35b66b6744b2d92c778afd3a88d2571875664a2a"
+uuid = "85a47980-9c8c-11e8-2b9f-f7ca1fa99fb4"
+version = "0.4.2"
+
 [[deps.DiffEqBase]]
-deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Static", "StaticArraysCore", "Statistics", "Tricks", "TruncatedStacktraces"]
-git-tree-sha1 = "2c6b7bf16fd850c551a765e313e7522ba455cbfd"
+deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "Static", "StaticArraysCore", "Statistics", "Tricks", "TruncatedStacktraces"]
+git-tree-sha1 = "72950e082d2241a1da1c924147943e2918471af9"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.151.4"
+version = "6.152.2"
 
     [deps.DiffEqBase.extensions]
     DiffEqBaseCUDAExt = "CUDA"
@@ -351,6 +370,7 @@ version = "6.151.4"
     DiffEqBaseMeasurementsExt = "Measurements"
     DiffEqBaseMonteCarloMeasurementsExt = "MonteCarloMeasurements"
     DiffEqBaseReverseDiffExt = "ReverseDiff"
+    DiffEqBaseSparseArraysExt = "SparseArrays"
     DiffEqBaseTrackerExt = "Tracker"
     DiffEqBaseUnitfulExt = "Unitful"
 
@@ -364,19 +384,30 @@ version = "6.151.4"
     Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
     MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
     ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
     Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 
 [[deps.DiffEqCallbacks]]
 deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "Functors", "LinearAlgebra", "Markdown", "NonlinearSolve", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArraysCore"]
-git-tree-sha1 = "c959cfd2657d16beada157a74d52269e8556500e"
+git-tree-sha1 = "91e10deadcf1e33168bac3140eb0ea8cc4dfa5d7"
 uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
-version = "3.6.2"
+version = "3.7.0"
 
     [deps.DiffEqCallbacks.weakdeps]
     OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
     Sundials = "c3572dad-4567-51f8-b174-8c6c989267f4"
 
+[[deps.DiffEqNoiseProcess]]
+deps = ["DiffEqBase", "Distributions", "GPUArraysCore", "LinearAlgebra", "Markdown", "Optim", "PoissonRandom", "QuadGK", "Random", "Random123", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "Requires", "ResettableStacks", "SciMLBase", "StaticArraysCore", "Statistics"]
+git-tree-sha1 = "ed0158e758723b4d429afbbb5d98c5afd3458dc1"
+uuid = "77a26b50-5914-5dd7-bc55-306e6241c503"
+version = "5.22.0"
+weakdeps = ["ReverseDiff"]
+
+    [deps.DiffEqNoiseProcess.extensions]
+    DiffEqNoiseProcessReverseDiffExt = "ReverseDiff"
+
 [[deps.DiffResults]]
 deps = ["StaticArraysCore"]
 git-tree-sha1 = "782dd5f4561f5d267313f23853baaaa4c52ea621"
@@ -397,9 +428,9 @@ version = "0.1.1"
 
 [[deps.DifferentiationInterface]]
 deps = ["ADTypes", "Compat", "DocStringExtensions", "FillArrays", "LinearAlgebra", "PackageExtensionCompat", "SparseArrays", "SparseMatrixColorings"]
-git-tree-sha1 = "23c6df13ad8fcffde4b0596d798911d2e309fc2c"
+git-tree-sha1 = "6bd550abccb7aa156141e10d5367c580af9128af"
 uuid = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
-version = "0.5.5"
+version = "0.5.11"
 
     [deps.DifferentiationInterface.extensions]
     DifferentiationInterfaceChainRulesCoreExt = "ChainRulesCore"
@@ -515,15 +546,21 @@ version = "0.13.2"
     ScientificTypes = "321657f4-b219-11e9-178b-2701a2544e81"
     Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 
+[[deps.Einsum]]
+deps = ["Compat"]
+git-tree-sha1 = "4a6b3eee0161c89700b6c1949feae8b851da5494"
+uuid = "b7d42ee7-0b51-5a75-98ca-779d3107e4c0"
+version = "0.4.1"
+
 [[deps.EnumX]]
 git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
 uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
 version = "1.0.4"
 
 [[deps.EnzymeCore]]
-git-tree-sha1 = "3a3177ba05b4763234819060fb6c2e1613379ca6"
+git-tree-sha1 = "d445df66dd8761a4c27df950db89c6a3a0629fe7"
 uuid = "f151be2c-9106-41f4-ab19-57ee4f262869"
-version = "0.7.6"
+version = "0.7.7"
 weakdeps = ["Adapt"]
 
     [deps.EnzymeCore.extensions]
@@ -568,11 +605,29 @@ git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
 uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
 version = "0.1.10"
 
+[[deps.Expronicon]]
+deps = ["MLStyle", "Pkg", "TOML"]
+git-tree-sha1 = "fc3951d4d398b5515f91d7fe5d45fc31dccb3c9b"
+uuid = "6b7a57c9-7cc1-4fdf-b7f5-e857abae3636"
+version = "0.8.5"
+
+[[deps.FFTW]]
+deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
+git-tree-sha1 = "4820348781ae578893311153d69049a93d05f39d"
+uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
+version = "1.8.0"
+
+[[deps.FFTW_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea"
+uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
+version = "3.3.10+0"
+
 [[deps.FastBroadcast]]
 deps = ["ArrayInterface", "LinearAlgebra", "Polyester", "Static", "StaticArrayInterface", "StrideArraysCore"]
-git-tree-sha1 = "2be93e36303143c6fffd07e2222bbade35194d9e"
+git-tree-sha1 = "ab1b34570bcdf272899062e1a56285a53ecaae08"
 uuid = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
-version = "0.3.3"
+version = "0.3.5"
 
 [[deps.FastClosures]]
 git-tree-sha1 = "acebe244d53ee1b461970f8910c235b259e772ef"
@@ -607,9 +662,9 @@ weakdeps = ["PDMats", "SparseArrays", "Statistics"]
     FillArraysStatisticsExt = "Statistics"
 
 [[deps.FindFirstFunctions]]
-git-tree-sha1 = "e90fef90f7d75e6a5b435b0fd65609759f99717a"
+git-tree-sha1 = "fa0ba2042021409deb144f868abafde0b06be8f0"
 uuid = "64ca27bc-2ba2-4a57-88aa-44e436879224"
-version = "1.2.0"
+version = "1.3.0"
 
 [[deps.FiniteDiff]]
 deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays"]
@@ -655,9 +710,9 @@ version = "0.1.3"
 
 [[deps.Functors]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "8a66c07630d6428eaab3506a0eabfcf4a9edea05"
+git-tree-sha1 = "64d8e93700c7a3f28f717d265382d52fac9fa1c1"
 uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
-version = "0.4.11"
+version = "0.4.12"
 
 [[deps.Future]]
 deps = ["Random"]
@@ -665,9 +720,9 @@ uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"
 
 [[deps.GPUArrays]]
 deps = ["Adapt", "GPUArraysCore", "LLVM", "LinearAlgebra", "Printf", "Random", "Reexport", "Serialization", "Statistics"]
-git-tree-sha1 = "c154546e322a9c73364e8a60430b0f79b812d320"
+git-tree-sha1 = "a74c3f1cf56a3dfcdef0605f8cdb7015926aae30"
 uuid = "0c68f7d7-f131-5f86-a1c3-88cf8149b2d7"
-version = "10.2.0"
+version = "10.3.0"
 
 [[deps.GPUArraysCore]]
 deps = ["Adapt"]
@@ -682,21 +737,27 @@ version = "1.3.1"
 
 [[deps.Graphs]]
 deps = ["ArnoldiMethod", "Compat", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
-git-tree-sha1 = "334d300809ae0a68ceee3444c6e99ded412bf0b3"
+git-tree-sha1 = "ebd18c326fa6cee1efb7da9a3b45cf69da2ed4d9"
 uuid = "86223c79-3864-5bf0-83f7-82e725a168b6"
-version = "1.11.1"
+version = "1.11.2"
 
 [[deps.HostCPUFeatures]]
 deps = ["BitTwiddlingConvenienceFunctions", "IfElse", "Libdl", "Static"]
-git-tree-sha1 = "eb8fed28f4994600e29beef49744639d985a04b2"
+git-tree-sha1 = "8e070b599339d622e9a081d17230d74a5c473293"
 uuid = "3e5b6fbb-0976-4d2c-9146-d79de83f2fb0"
-version = "0.1.16"
+version = "0.1.17"
 
 [[deps.Hwloc_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "ca0f6bf568b4bfc807e7537f081c81e35ceca114"
+git-tree-sha1 = "5e19e1e4fa3e71b774ce746274364aef0234634e"
 uuid = "e33a78d0-f292-5ffc-b300-72abe9b543c8"
-version = "2.10.0+0"
+version = "2.11.1+0"
+
+[[deps.HybridArrays]]
+deps = ["LinearAlgebra", "Requires", "StaticArrays"]
+git-tree-sha1 = "6c3e57bc26728b99f470b267a437f0d380eac4fc"
+uuid = "1baab800-613f-4b0a-84e4-9cd3431bfbb9"
+version = "0.4.16"
 
 [[deps.HypergeometricFunctions]]
 deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
@@ -715,6 +776,11 @@ git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
 uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
 version = "0.1.1"
 
+[[deps.Indexing]]
+git-tree-sha1 = "ce1566720fd6b19ff3411404d4b977acd4814f9f"
+uuid = "313cdc1a-70c2-5d6a-ae34-0150d3930a38"
+version = "1.1.1"
+
 [[deps.Inflate]]
 git-tree-sha1 = "d1b1b796e47d94588b3757fe84fbf65a5ec4a80d"
 uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
@@ -728,9 +794,9 @@ version = "0.7.8"
 
 [[deps.IntelOpenMP_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "be50fe8df3acbffa0274a744f1a99d29c45a57f4"
+git-tree-sha1 = "14eb2b542e748570b56446f4c50fbfb2306ebc45"
 uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
-version = "2024.1.0+0"
+version = "2024.2.0+0"
 
 [[deps.InteractiveUtils]]
 deps = ["Markdown"]
@@ -755,9 +821,9 @@ weakdeps = ["Random", "RecipesBase", "Statistics"]
 
 [[deps.InverseFunctions]]
 deps = ["Test"]
-git-tree-sha1 = "e7cbed5032c4c397a6ac23d1493f3289e01231c4"
+git-tree-sha1 = "18c59411ece4838b18cd7f537e56cf5e41ce5bfd"
 uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
-version = "0.1.14"
+version = "0.1.15"
 weakdeps = ["Dates"]
 
     [deps.InverseFunctions.extensions]
@@ -765,21 +831,26 @@ weakdeps = ["Dates"]
 
 [[deps.Ipopt]]
 deps = ["Ipopt_jll", "LinearAlgebra", "MathOptInterface", "OpenBLAS32_jll", "PrecompileTools"]
-git-tree-sha1 = "344df015370d87d9ee6ff0be2f57d0ba81c4d863"
+git-tree-sha1 = "ecb7b2be9b52c88e5beb37328fe62d4f88631478"
 uuid = "b6b21f68-93f8-5de0-b562-5493be1d77c9"
-version = "1.6.3"
+version = "1.6.5"
 
 [[deps.Ipopt_jll]]
 deps = ["ASL_jll", "Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "MUMPS_seq_jll", "SPRAL_jll", "libblastrampoline_jll"]
-git-tree-sha1 = "546c40fd3718c65d48296dd6cec98af9904e3ca4"
+git-tree-sha1 = "a0950d209a055b3adb6d29ade5cbdf005a6bd290"
 uuid = "9cc047cb-c261-5740-88fc-0cf96f7bdcc7"
-version = "300.1400.1400+0"
+version = "300.1400.1600+0"
 
 [[deps.IrrationalConstants]]
 git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
 uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
 version = "0.2.2"
 
+[[deps.IterTools]]
+git-tree-sha1 = "42d5f897009e7ff2cf88db414a389e5ed1bdd023"
+uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
+version = "1.10.0"
+
 [[deps.IterativeSolvers]]
 deps = ["LinearAlgebra", "Printf", "Random", "RecipesBase", "SparseArrays"]
 git-tree-sha1 = "59545b0a2b27208b0650df0a46b8e3019f85055b"
@@ -817,26 +888,29 @@ version = "1.22.2"
 
 [[deps.JuliaFormatter]]
 deps = ["CSTParser", "CommonMark", "DataStructures", "Glob", "Pkg", "PrecompileTools", "Tokenize"]
-git-tree-sha1 = "1c4880cb70a5c6c87ea36deccc3d7f9e7969c18c"
+git-tree-sha1 = "4b0b04fe63e02eed776181e14ebc1f48d787ceec"
 uuid = "98e50ef6-434e-11e9-1051-2b60c6c9e899"
-version = "1.0.56"
+version = "1.0.59"
 
 [[deps.JumpProcesses]]
 deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "FunctionWrappers", "Graphs", "LinearAlgebra", "Markdown", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "StaticArrays", "SymbolicIndexingInterface", "UnPack"]
-git-tree-sha1 = "ed08d89318be7d625613f3c435d1f6678fba4850"
+git-tree-sha1 = "f12000093078e3dea1ee15de8bb35cfdc0014d97"
 uuid = "ccbc3e58-028d-4f4c-8cd5-9ae44345cda5"
-version = "9.11.1"
+version = "9.12.0"
 weakdeps = ["FastBroadcast"]
 
-    [deps.JumpProcesses.extensions]
-    JumpProcessFastBroadcastExt = "FastBroadcast"
-
 [[deps.KLU]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse_jll"]
 git-tree-sha1 = "07649c499349dad9f08dde4243a4c597064663e9"
 uuid = "ef3ab10e-7fda-4108-b977-705223b18434"
 version = "0.6.0"
 
+[[deps.Kronecker]]
+deps = ["LinearAlgebra", "NamedDims", "SparseArrays", "StatsBase"]
+git-tree-sha1 = "9253429e28cceae6e823bec9ffde12460d79bb38"
+uuid = "2c470bb0-bcc8-11e8-3dad-c9649493f05e"
+version = "0.5.5"
+
 [[deps.Krylov]]
 deps = ["LinearAlgebra", "Printf", "SparseArrays"]
 git-tree-sha1 = "267dad6b4b7b5d529c76d40ff48d33f7e94cb834"
@@ -851,9 +925,9 @@ version = "0.4.1"
 
 [[deps.LLVM]]
 deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Preferences", "Printf", "Requires", "Unicode"]
-git-tree-sha1 = "389aea28d882a40b5e1747069af71bdbd47a1cae"
+git-tree-sha1 = "2470e69781ddd70b8878491233cd09bc1bd7fc96"
 uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
-version = "7.2.1"
+version = "8.1.0"
 
     [deps.LLVM.extensions]
     BFloat16sExt = "BFloat16s"
@@ -863,9 +937,9 @@ version = "7.2.1"
 
 [[deps.LLVMExtra_jll]]
 deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl", "TOML"]
-git-tree-sha1 = "88b916503aac4fb7f701bb625cd84ca5dd1677bc"
+git-tree-sha1 = "597d1c758c9ae5d985ba4202386a607c675ee700"
 uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab"
-version = "0.0.29+0"
+version = "0.0.31+0"
 
 [[deps.L_BFGS_B_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
@@ -891,9 +965,9 @@ version = "0.4.6"
 
 [[deps.Latexify]]
 deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
-git-tree-sha1 = "e0b5cd21dc1b44ec6e64f351976f961e6f31d6c4"
+git-tree-sha1 = "5b0d630f3020b82c0775a51d05895852f8506f50"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
-version = "0.16.3"
+version = "0.16.4"
 
     [deps.Latexify.extensions]
     DataFramesExt = "DataFrames"
@@ -905,15 +979,15 @@ version = "0.16.3"
 
 [[deps.LayoutPointers]]
 deps = ["ArrayInterface", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface"]
-git-tree-sha1 = "62edfee3211981241b57ff1cedf4d74d79519277"
+git-tree-sha1 = "a9eaadb366f5493a5654e843864c13d8b107548c"
 uuid = "10f19ff3-798f-405d-979b-55457f8fc047"
-version = "0.1.15"
+version = "0.1.17"
 
 [[deps.LazyArrays]]
 deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "MacroTools", "SparseArrays"]
-git-tree-sha1 = "fa518725cf83bf6f0c1aecd06adb2ea2d94c4dc6"
+git-tree-sha1 = "b8ea0abe6cc872996e87356951d286d25d485aba"
 uuid = "5078a376-72f3-5289-bfd5-ec5146d43c02"
-version = "2.0.5"
+version = "2.1.9"
 
     [deps.LazyArrays.extensions]
     LazyArraysBandedMatricesExt = "BandedMatrices"
@@ -976,9 +1050,9 @@ uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[deps.LinearMaps]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "9948d6f8208acfebc3e8cf4681362b2124339e7e"
+git-tree-sha1 = "ee79c3208e55786de58f8dcccca098ced79f743f"
 uuid = "7a12625a-238d-50fd-b39a-03d52299707e"
-version = "3.11.2"
+version = "3.11.3"
 weakdeps = ["ChainRulesCore", "SparseArrays", "Statistics"]
 
     [deps.LinearMaps.extensions]
@@ -1003,10 +1077,10 @@ version = "2.8.0"
     LDLFactorizations = "40e66cde-538c-5869-a4ad-c39174c6795b"
 
 [[deps.LinearSolve]]
-deps = ["ArrayInterface", "ChainRulesCore", "ConcreteStructs", "DocStringExtensions", "EnumX", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "LazyArrays", "Libdl", "LinearAlgebra", "MKL_jll", "Markdown", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "StaticArraysCore", "UnPack"]
-git-tree-sha1 = "7648cc20100504f4b453917aacc8520e9c0ecfb3"
+deps = ["ArrayInterface", "ChainRulesCore", "ConcreteStructs", "CpuId", "DocStringExtensions", "EnumX", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "LazyArrays", "Libdl", "LinearAlgebra", "MKL_jll", "Markdown", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "StaticArraysCore", "UnPack"]
+git-tree-sha1 = "00d9dc2ef7abb0575ec2b59fedbbc5685127e6ea"
 uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
-version = "2.30.1"
+version = "2.31.2"
 
     [deps.LinearSolve.extensions]
     LinearSolveBandedMatricesExt = "BandedMatrices"
@@ -1066,9 +1140,9 @@ version = "1.0.3"
 
 [[deps.LoopVectorization]]
 deps = ["ArrayInterface", "CPUSummary", "CloseOpenIntervals", "DocStringExtensions", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "PrecompileTools", "SIMDTypes", "SLEEFPirates", "Static", "StaticArrayInterface", "ThreadingUtilities", "UnPack", "VectorizationBase"]
-git-tree-sha1 = "8f6786d8b2b3248d79db3ad359ce95382d5a6df8"
+git-tree-sha1 = "8084c25a250e00ae427a379a5b607e7aed96a2dd"
 uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
-version = "0.12.170"
+version = "0.12.171"
 weakdeps = ["ChainRulesCore", "ForwardDiff", "SpecialFunctions"]
 
     [deps.LoopVectorization.extensions]
@@ -1083,9 +1157,9 @@ version = "5.1.2+0"
 
 [[deps.MKL_jll]]
 deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "oneTBB_jll"]
-git-tree-sha1 = "80b2833b56d466b3858d565adcd16a4a05f2089b"
+git-tree-sha1 = "f046ccd0c6db2832a9f639e2c669c6fe867e5f4f"
 uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
-version = "2024.1.0+0"
+version = "2024.2.0+0"
 
 [[deps.MLStyle]]
 git-tree-sha1 = "bc38dff0548128765760c79eb7388a4b37fae2c8"
@@ -1094,9 +1168,9 @@ version = "0.4.17"
 
 [[deps.MUMPS_seq_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "METIS_jll", "libblastrampoline_jll"]
-git-tree-sha1 = "840b83c65b27e308095c139a457373850b2f5977"
+git-tree-sha1 = "85047ac569761e3387717480a38a61d2a67df45c"
 uuid = "d7ed1dd3-d0ae-5e8e-bfb4-87a502085b8d"
-version = "500.600.201+0"
+version = "500.700.300+0"
 
 [[deps.MacroTools]]
 deps = ["Markdown", "Random"]
@@ -1104,6 +1178,67 @@ git-tree-sha1 = "2fa9ee3e63fd3a4f7a9a4f4744a52f4856de82df"
 uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
 version = "0.5.13"
 
+[[deps.ManifoldDiff]]
+deps = ["LinearAlgebra", "ManifoldsBase", "Markdown", "Random", "Requires"]
+git-tree-sha1 = "fcdcba81649ccbda6d28d55dd0ca03b3bb93df1f"
+uuid = "af67fdf4-a580-4b9f-bbec-742ef357defd"
+version = "0.3.10"
+
+    [deps.ManifoldDiff.extensions]
+    ManifoldDiffFiniteDiffExt = "FiniteDiff"
+    ManifoldDiffFiniteDifferencesExt = "FiniteDifferences"
+    ManifoldDiffForwardDiffExt = "ForwardDiff"
+    ManifoldDiffReverseDiffExt = "ReverseDiff"
+    ManifoldDiffZygoteExt = "Zygote"
+
+    [deps.ManifoldDiff.weakdeps]
+    FiniteDiff = "6a86dc24-6348-571c-b903-95158fe2bd41"
+    FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.Manifolds]]
+deps = ["Distributions", "Einsum", "Graphs", "HybridArrays", "Kronecker", "LinearAlgebra", "ManifoldDiff", "ManifoldsBase", "Markdown", "MatrixEquations", "Quaternions", "Random", "RecursiveArrayTools", "Requires", "SimpleWeightedGraphs", "SpecialFunctions", "StaticArrays", "Statistics", "StatsBase"]
+git-tree-sha1 = "58eb09899273a3ed17aae1f56435f440669b810c"
+uuid = "1cead3c2-87b3-11e9-0ccd-23c62b72b94e"
+version = "0.9.20"
+
+    [deps.Manifolds.extensions]
+    ManifoldsBoundaryValueDiffEqExt = "BoundaryValueDiffEq"
+    ManifoldsNLsolveExt = "NLsolve"
+    ManifoldsOrdinaryDiffEqDiffEqCallbacksExt = ["DiffEqCallbacks", "OrdinaryDiffEq"]
+    ManifoldsOrdinaryDiffEqExt = "OrdinaryDiffEq"
+    ManifoldsRecipesBaseExt = ["Colors", "RecipesBase"]
+    ManifoldsTestExt = "Test"
+
+    [deps.Manifolds.weakdeps]
+    BoundaryValueDiffEq = "764a87c0-6b3e-53db-9096-fe964310641d"
+    Colors = "5ae59095-9a9b-59fe-a467-6f913c188581"
+    DiffEqCallbacks = "459566f4-90b8-5000-8ac3-15dfb0a30def"
+    NLsolve = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
+    OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
+    RecipesBase = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
+    Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+
+[[deps.ManifoldsBase]]
+deps = ["LinearAlgebra", "Markdown", "Printf", "Random", "Requires"]
+git-tree-sha1 = "3c196fc3c47bd8a852386aca443eda5874d536c1"
+uuid = "3362f125-f0bb-47a3-aa74-596ffd7ef2fb"
+version = "0.15.12"
+
+    [deps.ManifoldsBase.extensions]
+    ManifoldsBasePlotsExt = "Plots"
+    ManifoldsBaseQuaternionsExt = "Quaternions"
+    ManifoldsBaseRecursiveArrayToolsExt = "RecursiveArrayTools"
+    ManifoldsBaseStatisticsExt = "Statistics"
+
+    [deps.ManifoldsBase.weakdeps]
+    Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
+    Quaternions = "94ee1d12-ae83-5a48-8b1c-48b8ff168ae0"
+    RecursiveArrayTools = "731186ca-8d62-57ce-b412-fbd966d074cd"
+    Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+
 [[deps.ManualMemory]]
 git-tree-sha1 = "bcaef4fc7a0cfe2cba636d84cda54b5e4e4ca3cd"
 uuid = "d125e4d3-2237-4719-b19c-fa641b8a4667"
@@ -1115,9 +1250,15 @@ uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
 [[deps.MathOptInterface]]
 deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "DataStructures", "ForwardDiff", "JSON", "LinearAlgebra", "MutableArithmetics", "NaNMath", "OrderedCollections", "PrecompileTools", "Printf", "SparseArrays", "SpecialFunctions", "Test", "Unicode"]
-git-tree-sha1 = "fffbbdbc10ba66885b7b4c06f4bd2c0efc5813d6"
+git-tree-sha1 = "91b08d27a27d83cf1e63e50837403e7f53a0fd74"
 uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
-version = "1.30.0"
+version = "1.31.0"
+
+[[deps.MatrixEquations]]
+deps = ["LinearAlgebra", "LinearMaps"]
+git-tree-sha1 = "f765b4eda3ea9be8e644b9127809ca5151f3d9ea"
+uuid = "99c1a7ee-ab34-5fd5-8076-27c950a045f4"
+version = "2.4.2"
 
 [[deps.MaybeInplace]]
 deps = ["ArrayInterface", "LinearAlgebra", "MacroTools", "SparseArrays"]
@@ -1146,10 +1287,10 @@ version = "1.2.0"
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
 [[deps.ModelingToolkit]]
-deps = ["AbstractTrees", "ArrayInterface", "Combinatorics", "Compat", "ConstructionBase", "DataStructures", "DiffEqBase", "DiffEqCallbacks", "DiffRules", "Distributed", "Distributions", "DocStringExtensions", "DomainSets", "DynamicQuantities", "ExprTools", "FindFirstFunctions", "ForwardDiff", "FunctionWrappersWrappers", "Graphs", "InteractiveUtils", "JuliaFormatter", "JumpProcesses", "LabelledArrays", "Latexify", "Libdl", "LinearAlgebra", "MLStyle", "NaNMath", "NonlinearSolve", "OrderedCollections", "PrecompileTools", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "SciMLStructures", "Serialization", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicUtils", "Symbolics", "URIs", "UnPack", "Unitful"]
-git-tree-sha1 = "8d43517ec8d9895f7d5f661167c05f54146a769d"
+deps = ["AbstractTrees", "ArrayInterface", "Combinatorics", "Compat", "ConstructionBase", "DataStructures", "DiffEqBase", "DiffEqCallbacks", "DiffEqNoiseProcess", "DiffRules", "Distributed", "Distributions", "DocStringExtensions", "DomainSets", "DynamicQuantities", "ExprTools", "Expronicon", "FindFirstFunctions", "ForwardDiff", "FunctionWrappersWrappers", "Graphs", "InteractiveUtils", "JuliaFormatter", "JumpProcesses", "LabelledArrays", "Latexify", "Libdl", "LinearAlgebra", "MLStyle", "NaNMath", "NonlinearSolve", "OrderedCollections", "PrecompileTools", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "SciMLStructures", "Serialization", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicUtils", "Symbolics", "URIs", "UnPack", "Unitful"]
+git-tree-sha1 = "f5830116c54bc0f5f9653f204ce719aa6cec477e"
 uuid = "961ee093-0014-501f-94e3-6117800e7a78"
-version = "9.19.0"
+version = "9.29.0"
 
     [deps.ModelingToolkit.extensions]
     MTKBifurcationKitExt = "BifurcationKit"
@@ -1176,15 +1317,15 @@ version = "0.5.6"
 
 [[deps.MutableArithmetics]]
 deps = ["LinearAlgebra", "SparseArrays", "Test"]
-git-tree-sha1 = "898c56fbf8bf71afb0c02146ef26f3a454e88873"
+git-tree-sha1 = "d0a6b1096b584a2b88efb70a92f8cb8c881eb38a"
 uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
-version = "1.4.5"
+version = "1.4.6"
 
 [[deps.NLPModels]]
 deps = ["FastClosures", "LinearAlgebra", "LinearOperators", "Printf", "SparseArrays"]
-git-tree-sha1 = "9b2ede4609f98b0b0e8bf11b9ea28e4ff5d7aba3"
+git-tree-sha1 = "24d6dff956018359a6273778a7e07b76be0b8256"
 uuid = "a4795742-8479-5a88-8948-cc11e1c8c1a6"
-version = "0.21.1"
+version = "0.21.2"
 
 [[deps.NLPModelsIpopt]]
 deps = ["Ipopt", "NLPModels", "SolverCore"]
@@ -1210,6 +1351,25 @@ git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4"
 uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
 version = "1.0.2"
 
+[[deps.NamedDims]]
+deps = ["LinearAlgebra", "Pkg", "Statistics"]
+git-tree-sha1 = "90178dc801073728b8b2d0d8677d10909feb94d8"
+uuid = "356022a1-0364-5f58-8944-0da4b18d706f"
+version = "1.2.2"
+
+    [deps.NamedDims.extensions]
+    AbstractFFTsExt = "AbstractFFTs"
+    ChainRulesCoreExt = "ChainRulesCore"
+    CovarianceEstimationExt = "CovarianceEstimation"
+    TrackerExt = "Tracker"
+
+    [deps.NamedDims.weakdeps]
+    AbstractFFTs = "621f4979-c628-5d54-868e-fcf4e3e8185c"
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    CovarianceEstimation = "587fd27a-f159-11e8-2dae-1979310e6154"
+    Requires = "ae029012-a4dd-5104-9daa-d747884805df"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+
 [[deps.NamedTupleTools]]
 git-tree-sha1 = "90914795fc59df44120fe3fff6742bb0d7adb1d0"
 uuid = "d9ec5142-1e00-5aa0-9d6a-321866360f50"
@@ -1245,9 +1405,9 @@ version = "0.4.3"
 
 [[deps.NonlinearSolve]]
 deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "LazyArrays", "LineSearches", "LinearAlgebra", "LinearSolve", "MaybeInplace", "PrecompileTools", "Preferences", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SparseArrays", "SparseDiffTools", "StaticArraysCore", "SymbolicIndexingInterface", "TimerOutputs"]
-git-tree-sha1 = "40325dcea1cb84a108efe05966bbb1f4b98e5eea"
+git-tree-sha1 = "3adb1e5945b5a6b1eaee754077f25ccc402edd7f"
 uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
-version = "3.13.0"
+version = "3.13.1"
 
     [deps.NonlinearSolve.extensions]
     NonlinearSolveBandedMatricesExt = "BandedMatrices"
@@ -1276,9 +1436,9 @@ version = "3.13.0"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.OffsetArrays]]
-git-tree-sha1 = "e64b4f5ea6b7389f6f046d13d4896a8f9c1ba71e"
+git-tree-sha1 = "1a27764e945a152f7ca7efa04de513d473e9542e"
 uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
-version = "1.14.0"
+version = "1.14.1"
 weakdeps = ["Adapt"]
 
     [deps.OffsetArrays.extensions]
@@ -1293,7 +1453,7 @@ version = "0.3.24+0"
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
-version = "0.3.23+2"
+version = "0.3.23+4"
 
 [[deps.OpenLibm_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -1318,15 +1478,15 @@ weakdeps = ["MathOptInterface"]
 
 [[deps.Optimization]]
 deps = ["ADTypes", "ArrayInterface", "ConsoleProgressMonitor", "DocStringExtensions", "LBFGSB", "LinearAlgebra", "Logging", "LoggingExtras", "OptimizationBase", "Pkg", "Printf", "ProgressLogging", "Reexport", "SciMLBase", "SparseArrays", "TerminalLoggers"]
-git-tree-sha1 = "63df78e4727b194b1c28fdcc119bdc40b26f9016"
+git-tree-sha1 = "e51c209075bf413ee1dbf4a2473972276965022c"
 uuid = "7f7a1694-90dd-40f0-9382-eb1efda571ba"
-version = "3.26.1"
+version = "3.27.0"
 
 [[deps.OptimizationBase]]
-deps = ["ADTypes", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "Reexport", "Requires", "SciMLBase", "SparseArrays"]
-git-tree-sha1 = "dcb1f85b0da580e2363c0197b0366406031a69cd"
+deps = ["ADTypes", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "Manifolds", "PDMats", "Reexport", "Requires", "SciMLBase", "SparseArrays", "SymbolicAnalysis", "SymbolicIndexingInterface", "Symbolics"]
+git-tree-sha1 = "c154d3d569c47bbc1da356b8e5e981b08dc068cd"
 uuid = "bca83a33-5cc9-4baa-983d-23429ab6bcbb"
-version = "1.2.0"
+version = "1.3.3"
 
     [deps.OptimizationBase.extensions]
     OptimizationEnzymeExt = "Enzyme"
@@ -1334,7 +1494,7 @@ version = "1.2.0"
     OptimizationForwardDiffExt = "ForwardDiff"
     OptimizationMTKExt = "ModelingToolkit"
     OptimizationReverseDiffExt = "ReverseDiff"
-    OptimizationSparseDiffExt = ["SparseDiffTools", "Symbolics", "ReverseDiff"]
+    OptimizationSparseDiffExt = ["SparseDiffTools", "ReverseDiff"]
     OptimizationTrackerExt = "Tracker"
     OptimizationZygoteExt = "Zygote"
 
@@ -1345,7 +1505,6 @@ version = "1.2.0"
     ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78"
     ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
     SparseDiffTools = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
-    Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
@@ -1397,15 +1556,33 @@ version = "0.4.4"
 
 [[deps.Polyester]]
 deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Requires", "Static", "StaticArrayInterface", "StrideArraysCore", "ThreadingUtilities"]
-git-tree-sha1 = "b3e2bae88cf07baf0a051fe09666b8ef97aefe93"
+git-tree-sha1 = "9ff799e8fb8ed6717710feee3be3bc20645daa97"
 uuid = "f517fe37-dbe3-4b94-8317-1923a5111588"
-version = "0.7.14"
+version = "0.7.15"
 
 [[deps.PolyesterWeave]]
 deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"]
-git-tree-sha1 = "240d7170f5ffdb285f9427b92333c3463bf65bf6"
+git-tree-sha1 = "645bed98cd47f72f67316fd42fc47dee771aefcd"
 uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad"
-version = "0.2.1"
+version = "0.2.2"
+
+[[deps.Polynomials]]
+deps = ["LinearAlgebra", "RecipesBase", "Requires", "Setfield", "SparseArrays"]
+git-tree-sha1 = "1a9cfb2dc2c2f1bd63f1906d72af39a79b49b736"
+uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
+version = "4.0.11"
+
+    [deps.Polynomials.extensions]
+    PolynomialsChainRulesCoreExt = "ChainRulesCore"
+    PolynomialsFFTWExt = "FFTW"
+    PolynomialsMakieCoreExt = "MakieCore"
+    PolynomialsMutableArithmeticsExt = "MutableArithmetics"
+
+    [deps.Polynomials.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
+    MakieCore = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
+    MutableArithmetics = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
 
 [[deps.PositiveFactorizations]]
 deps = ["LinearAlgebra"]
@@ -1415,15 +1592,15 @@ version = "0.2.4"
 
 [[deps.PowerModels]]
 deps = ["InfrastructureModels", "JSON", "JuMP", "LinearAlgebra", "Memento", "NLsolve", "SparseArrays"]
-git-tree-sha1 = "5e306b264479bbb553fe4a873813b8e160071ddf"
+git-tree-sha1 = "125951731f2e61b45499ae0055ed224fe8a330ed"
 uuid = "c36e90e8-916a-50a6-bd94-075b64ef4655"
-version = "0.21.1"
+version = "0.21.2"
 
 [[deps.PreallocationTools]]
 deps = ["Adapt", "ArrayInterface", "ForwardDiff"]
-git-tree-sha1 = "406c29a7f46706d379a3bce45671b4e3a39ddfbc"
+git-tree-sha1 = "d7f3f63331c7c8c81245b4ee2815b7d496365833"
 uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
-version = "0.4.22"
+version = "0.4.23"
 weakdeps = ["ReverseDiff"]
 
     [deps.PreallocationTools.extensions]
@@ -1457,9 +1634,9 @@ version = "0.1.4"
 
 [[deps.ProgressMeter]]
 deps = ["Distributed", "Printf"]
-git-tree-sha1 = "763a8ceb07833dd51bb9e3bbca372de32c0605ad"
+git-tree-sha1 = "8f6bc219586aef8baf0ff9a5fe16ee9c70cb65e4"
 uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
-version = "1.10.0"
+version = "1.10.2"
 
 [[deps.PtrArrays]]
 git-tree-sha1 = "f011fbb92c4d401059b2212c05c0601b70f8b759"
@@ -1468,9 +1645,15 @@ version = "1.2.0"
 
 [[deps.QuadGK]]
 deps = ["DataStructures", "LinearAlgebra"]
-git-tree-sha1 = "9b23c31e76e333e6fb4c1595ae6afa74966a729e"
+git-tree-sha1 = "e237232771fdafbae3db5c31275303e056afaa9f"
 uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
-version = "2.9.4"
+version = "2.10.1"
+
+[[deps.Quaternions]]
+deps = ["LinearAlgebra", "Random", "RealDot"]
+git-tree-sha1 = "994cc27cdacca10e68feb291673ec3a76aa2fae9"
+uuid = "94ee1d12-ae83-5a48-8b1c-48b8ff168ae0"
+version = "0.7.6"
 
 [[deps.REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
@@ -1480,6 +1663,12 @@ uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
 deps = ["SHA"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
+[[deps.Random123]]
+deps = ["Random", "RandomNumbers"]
+git-tree-sha1 = "4743b43e5a9c4a2ede372de7061eed81795b12e7"
+uuid = "74087812-796a-5b5d-8853-05524746bad3"
+version = "1.7.0"
+
 [[deps.RandomNumbers]]
 deps = ["Random", "Requires"]
 git-tree-sha1 = "043da614cc7e95c703498a491e2c21f58a2b8111"
@@ -1500,9 +1689,9 @@ version = "1.3.4"
 
 [[deps.RecursiveArrayTools]]
 deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "SparseArrays", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
-git-tree-sha1 = "3400ce27995422fb88ffcd3af9945565aad947f0"
+git-tree-sha1 = "b450d967a770fb13d0e26358f58375e20361cf9c"
 uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
-version = "3.23.1"
+version = "3.26.0"
 
     [deps.RecursiveArrayTools.extensions]
     RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
@@ -1539,6 +1728,12 @@ git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
 uuid = "ae029012-a4dd-5104-9daa-d747884805df"
 version = "1.3.0"
 
+[[deps.ResettableStacks]]
+deps = ["StaticArrays"]
+git-tree-sha1 = "256eeeec186fa7f26f2801732774ccf277f05db9"
+uuid = "ae5879a3-cd67-5da8-be7f-38c6eb64a37b"
+version = "1.1.1"
+
 [[deps.ReverseDiff]]
 deps = ["ChainRulesCore", "DiffResults", "DiffRules", "ForwardDiff", "FunctionWrappers", "LinearAlgebra", "LogExpFunctions", "MacroTools", "NaNMath", "Random", "SpecialFunctions", "StaticArrays", "Statistics"]
 git-tree-sha1 = "cc6cd622481ea366bb9067859446a8b01d92b468"
@@ -1579,21 +1774,21 @@ version = "0.1.0"
 
 [[deps.SLEEFPirates]]
 deps = ["IfElse", "Static", "VectorizationBase"]
-git-tree-sha1 = "3aac6d68c5e57449f5b9b865c9ba50ac2970c4cf"
+git-tree-sha1 = "456f610ca2fbd1c14f5fcf31c6bfadc55e7d66e0"
 uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
-version = "0.6.42"
+version = "0.6.43"
 
 [[deps.SPRAL_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Hwloc_jll", "JLLWrappers", "Libdl", "METIS_jll", "libblastrampoline_jll"]
-git-tree-sha1 = "34b9dacd687cace8aa4d550e3e9bb8615f1a61e9"
+git-tree-sha1 = "11f3da4b25efacd1cec8e263421f2a9003a5e8e0"
 uuid = "319450e9-13b8-58e8-aa9f-8fd1420848ab"
-version = "2024.1.18+0"
+version = "2024.5.8+0"
 
 [[deps.SciMLBase]]
-deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
-git-tree-sha1 = "7a6c5c8c38d2e37f45d4686c3598c20c1aebf48e"
+deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "Expronicon", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
+git-tree-sha1 = "7f0e208db50f5fee2386b6d8dc9608d580059331"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "2.41.3"
+version = "2.48.1"
 
     [deps.SciMLBase.extensions]
     SciMLBaseChainRulesCoreExt = "ChainRulesCore"
@@ -1622,9 +1817,9 @@ version = "0.3.8"
 
 [[deps.SciMLStructures]]
 deps = ["ArrayInterface"]
-git-tree-sha1 = "6ab4beaf88dcdd2639bead916f2347f81dcacd0e"
+git-tree-sha1 = "20ad3e7c137156c50c93c888d0f2bc5b7883c729"
 uuid = "53ae85a6-f571-4167-b2af-e1d143709226"
-version = "1.3.0"
+version = "1.4.2"
 
 [[deps.Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
@@ -1646,9 +1841,9 @@ uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
 
 [[deps.SimpleNonlinearSolve]]
 deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "DiffResults", "DifferentiationInterface", "FastClosures", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "MaybeInplace", "PrecompileTools", "Reexport", "SciMLBase", "Setfield", "StaticArraysCore"]
-git-tree-sha1 = "913754ccbbc78720a4542b56a6bdfbab1c84c8f2"
+git-tree-sha1 = "03c21a4c373c7c3aa77611430068badaa073d740"
 uuid = "727e6d20-b764-4bd8-a329-72de5adea6c7"
-version = "1.10.0"
+version = "1.11.0"
 
     [deps.SimpleNonlinearSolve.extensions]
     SimpleNonlinearSolveChainRulesCoreExt = "ChainRulesCore"
@@ -1668,6 +1863,12 @@ git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
 uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
 version = "0.9.4"
 
+[[deps.SimpleWeightedGraphs]]
+deps = ["Graphs", "LinearAlgebra", "Markdown", "SparseArrays"]
+git-tree-sha1 = "4b33e0e081a825dbfaf314decf58fa47e53d6acb"
+uuid = "47aef6b3-ad0c-573a-a1e2-d07658019622"
+version = "1.4.0"
+
 [[deps.Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
@@ -1689,10 +1890,10 @@ uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 version = "1.10.0"
 
 [[deps.SparseConnectivityTracer]]
-deps = ["ADTypes", "Compat", "DocStringExtensions", "Random", "Requires", "SparseArrays"]
-git-tree-sha1 = "bc364c01169316f0279549177a52c0221be36993"
+deps = ["ADTypes", "Compat", "DocStringExtensions", "FillArrays", "LinearAlgebra", "Random", "Requires", "SparseArrays"]
+git-tree-sha1 = "50f8dcef2355909de25639cf936008d6e85ec2ae"
 uuid = "9f842d2f-2579-4b1d-911e-f412cf18a3f5"
-version = "0.5.1"
+version = "0.6.0"
 
     [deps.SparseConnectivityTracer.extensions]
     SparseConnectivityTracerNNlibExt = "NNlib"
@@ -1730,9 +1931,9 @@ version = "0.1.2"
 
 [[deps.SparseMatrixColorings]]
 deps = ["ADTypes", "Compat", "DocStringExtensions", "LinearAlgebra", "Random", "SparseArrays"]
-git-tree-sha1 = "eed2446b3c3dd58f6ded3168998b8b2cb3fc9229"
+git-tree-sha1 = "ad048e784b816e4de5553a13f1daf148412f3dbd"
 uuid = "0a514795-09f3-496d-8182-132a7b665d35"
-version = "0.3.3"
+version = "0.3.6"
 
 [[deps.Sparspak]]
 deps = ["Libdl", "LinearAlgebra", "Logging", "OffsetArrays", "Printf", "SparseArrays", "Test"]
@@ -1751,16 +1952,16 @@ weakdeps = ["ChainRulesCore"]
     SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"
 
 [[deps.Static]]
-deps = ["IfElse"]
-git-tree-sha1 = "d2fdac9ff3906e27f7a618d47b676941baa6c80c"
+deps = ["CommonWorldInvalidations", "IfElse", "PrecompileTools"]
+git-tree-sha1 = "87d51a3ee9a4b0d2fe054bdd3fc2436258db2603"
 uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
-version = "0.8.10"
+version = "1.1.1"
 
 [[deps.StaticArrayInterface]]
 deps = ["ArrayInterface", "Compat", "IfElse", "LinearAlgebra", "PrecompileTools", "Requires", "SparseArrays", "Static", "SuiteSparse"]
-git-tree-sha1 = "5d66818a39bb04bf328e92bc933ec5b4ee88e436"
+git-tree-sha1 = "8963e5a083c837531298fc41599182a759a87a6d"
 uuid = "0d7ed370-da01-4f52-bd93-41d350b8b718"
-version = "1.5.0"
+version = "1.5.1"
 weakdeps = ["OffsetArrays", "StaticArrays"]
 
     [deps.StaticArrayInterface.extensions]
@@ -1769,9 +1970,9 @@ weakdeps = ["OffsetArrays", "StaticArrays"]
 
 [[deps.StaticArrays]]
 deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
-git-tree-sha1 = "6e00379a24597be4ae1ee6b2d882e15392040132"
+git-tree-sha1 = "eeafab08ae20c62c44c8399ccb9354a04b80db50"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.9.5"
+version = "1.9.7"
 weakdeps = ["ChainRulesCore", "Statistics"]
 
     [deps.StaticArrays.extensions]
@@ -1813,9 +2014,9 @@ weakdeps = ["ChainRulesCore", "InverseFunctions"]
 
 [[deps.StrideArraysCore]]
 deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface", "ThreadingUtilities"]
-git-tree-sha1 = "25349bf8f63aa36acbff5e3550a86e9f5b0ef682"
+git-tree-sha1 = "f35f6ab602df8413a50c4a25ca14de821e8605fb"
 uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
-version = "0.5.6"
+version = "0.5.7"
 
 [[deps.StructArrays]]
 deps = ["ConstructionBase", "DataAPI", "Tables"]
@@ -1839,11 +2040,17 @@ deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
 uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
 version = "7.2.1+1"
 
+[[deps.SymbolicAnalysis]]
+deps = ["DSP", "DataStructures", "Dictionaries", "Distributions", "DomainSets", "IfElse", "LinearAlgebra", "LogExpFunctions", "Manifolds", "PDMats", "RecursiveArrayTools", "StatsBase", "SymbolicUtils", "Symbolics"]
+git-tree-sha1 = "770c6d4df4ec39d328c12778510fd5bba1c20d31"
+uuid = "4297ee4d-0239-47d8-ba5d-195ecdf594fe"
+version = "0.1.0"
+
 [[deps.SymbolicIndexingInterface]]
 deps = ["Accessors", "ArrayInterface", "RuntimeGeneratedFunctions", "StaticArraysCore"]
-git-tree-sha1 = "a5f6f138b740c9d93d76f0feddd3092e6ef002b7"
+git-tree-sha1 = "2dd32da03adaf43fd91494e38ef3df0ab2e6c20e"
 uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
-version = "0.3.22"
+version = "0.3.27"
 
 [[deps.SymbolicLimits]]
 deps = ["SymbolicUtils"]
@@ -1853,15 +2060,15 @@ version = "0.2.1"
 
 [[deps.SymbolicUtils]]
 deps = ["AbstractTrees", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TermInterface", "TimerOutputs", "Unityper"]
-git-tree-sha1 = "79813de27af70906d223fbd89ad90dba3d88a2b0"
+git-tree-sha1 = "9345b7b8a2923abaf6089d9f7306bb712fecb840"
 uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
-version = "2.0.2"
+version = "2.1.2"
 
 [[deps.Symbolics]]
-deps = ["ADTypes", "ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "ForwardDiff", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"]
-git-tree-sha1 = "3669f8eba2720c595e16b038f33cb880c12ef7f7"
+deps = ["ADTypes", "ArrayInterface", "Bijections", "CommonWorldInvalidations", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "ForwardDiff", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArraysCore", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"]
+git-tree-sha1 = "653f8337e6605b4a84e5da15add78f1de8f4bae5"
 uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
-version = "5.30.3"
+version = "5.35.1"
 
     [deps.Symbolics.extensions]
     SymbolicsGroebnerExt = "Groebner"
@@ -1887,10 +2094,10 @@ uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
 version = "1.0.1"
 
 [[deps.Tables]]
-deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits"]
-git-tree-sha1 = "cb76cf677714c095e535e3501ac7954732aeea2d"
+deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "OrderedCollections", "TableTraits"]
+git-tree-sha1 = "598cd7c1f68d1e205689b1c2fe65a9f85846f297"
 uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
-version = "1.11.1"
+version = "1.12.0"
 
 [[deps.Tar]]
 deps = ["ArgTools", "SHA"]
@@ -1930,9 +2137,9 @@ uuid = "0796e94c-ce3b-5d07-9a54-7f471281c624"
 version = "0.5.29"
 
 [[deps.TranscodingStreams]]
-git-tree-sha1 = "a947ea21087caba0a798c5e494d0bb78e3a1a3a0"
+git-tree-sha1 = "96612ac5365777520c3c5396314c8cf7408f436a"
 uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
-version = "0.10.9"
+version = "0.11.1"
 weakdeps = ["Random", "Test"]
 
     [deps.TranscodingStreams.extensions]
@@ -1940,14 +2147,14 @@ weakdeps = ["Random", "Test"]
 
 [[deps.TriangularSolve]]
 deps = ["CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "LoopVectorization", "Polyester", "Static", "VectorizationBase"]
-git-tree-sha1 = "66c68a20907800c0b7c04ff8a6164115e8747de2"
+git-tree-sha1 = "be986ad9dac14888ba338c2554dcfec6939e1393"
 uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
-version = "0.2.0"
+version = "0.2.1"
 
 [[deps.Tricks]]
-git-tree-sha1 = "eae1bb484cd63b36999ee58be2de6c178105112f"
+git-tree-sha1 = "7822b97e99a1672bfb1b49b668a6d46d58d8cbcb"
 uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
-version = "0.1.8"
+version = "0.1.9"
 
 [[deps.TruncatedStacktraces]]
 deps = ["InteractiveUtils", "MacroTools", "Preferences"]
@@ -1974,9 +2181,9 @@ uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
 
 [[deps.Unitful]]
 deps = ["Dates", "LinearAlgebra", "Random"]
-git-tree-sha1 = "dd260903fdabea27d9b6021689b3cd5401a57748"
+git-tree-sha1 = "d95fe458f26209c66a187b1114df96fd70839efd"
 uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
-version = "1.20.0"
+version = "1.21.0"
 weakdeps = ["ConstructionBase", "InverseFunctions"]
 
     [deps.Unitful.extensions]
@@ -1991,9 +2198,9 @@ version = "0.1.6"
 
 [[deps.VectorizationBase]]
 deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static", "StaticArrayInterface"]
-git-tree-sha1 = "e863582a41c5731f51fd050563ae91eb33cf09be"
+git-tree-sha1 = "e7f5b81c65eb858bed630fe006837b935518aca5"
 uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
-version = "0.21.68"
+version = "0.21.70"
 
 [[deps.VertexSafeGraphs]]
 deps = ["Graphs"]