diff --git a/Manifest.toml b/Manifest.toml
index 21c70278..cf181ba7 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -2,12 +2,12 @@
 
 julia_version = "1.9.2"
 manifest_format = "2.0"
-project_hash = "8d4282659e8d812366b964b30a62992b0d8c13bc"
+project_hash = "f84b1c9599d7c6b89cab86888d79ff5b190033a0"
 
 [[deps.ADTypes]]
-git-tree-sha1 = "5d2e21d7b0d8c22f67483ef95ebdc39c0e6b6003"
+git-tree-sha1 = "332e5d7baeff8497b923b730b994fa480601efc7"
 uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
-version = "0.2.4"
+version = "0.2.5"
 
 [[deps.ASL_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -56,20 +56,39 @@ weakdeps = ["ChainRulesCore", "Test"]
     AbstractFFTsTestExt = "Test"
 
 [[deps.AbstractLattices]]
-git-tree-sha1 = "f35684b7349da49fcc8a9e520e30e45dbb077166"
+git-tree-sha1 = "222ee9e50b98f51b5d78feb93dd928880df35f06"
 uuid = "398f06c4-4d28-53ec-89ca-5b2656b7603d"
-version = "0.2.1"
+version = "0.3.0"
 
 [[deps.AbstractTrees]]
 git-tree-sha1 = "faa260e4cb5aba097a73fab382dd4b5819d8ec8c"
 uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
 version = "0.4.4"
 
+[[deps.Accessors]]
+deps = ["CompositionsBase", "ConstructionBase", "Dates", "InverseFunctions", "LinearAlgebra", "MacroTools", "Test"]
+git-tree-sha1 = "a7055b939deae2455aa8a67491e034f735dd08d3"
+uuid = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697"
+version = "0.1.33"
+
+    [deps.Accessors.extensions]
+    AccessorsAxisKeysExt = "AxisKeys"
+    AccessorsIntervalSetsExt = "IntervalSets"
+    AccessorsStaticArraysExt = "StaticArrays"
+    AccessorsStructArraysExt = "StructArrays"
+
+    [deps.Accessors.weakdeps]
+    AxisKeys = "94b1ba4f-4ee9-5380-92f1-94cde586c3c5"
+    IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953"
+    Requires = "ae029012-a4dd-5104-9daa-d747884805df"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+    StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+
 [[deps.Adapt]]
 deps = ["LinearAlgebra", "Requires"]
-git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24"
+git-tree-sha1 = "02f731463748db57cc2ebfbd9fbc9ce8280d3433"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "3.6.2"
+version = "3.7.1"
 weakdeps = ["StaticArrays"]
 
     [deps.Adapt.extensions]
@@ -93,9 +112,9 @@ version = "0.2.0"
 
 [[deps.ArrayInterface]]
 deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "f83ec24f76d4c8f525099b2ac475fc098138ec31"
+git-tree-sha1 = "247efbccf92448be332d154d6ca56b9fcdd93c31"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "7.4.11"
+version = "7.6.1"
 
     [deps.ArrayInterface.extensions]
     ArrayInterfaceBandedMatricesExt = "BandedMatrices"
@@ -117,10 +136,10 @@ version = "7.4.11"
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
 
 [[deps.Automa]]
-deps = ["TranscodingStreams"]
-git-tree-sha1 = "ef9997b3d5547c48b41c7bd8899e812a917b409d"
+deps = ["PrecompileTools", "TranscodingStreams"]
+git-tree-sha1 = "0da671c730d79b8f9a88a391556ec695ea921040"
 uuid = "67c07d97-cdcb-5c2c-af73-a7f9c32a568b"
-version = "0.8.4"
+version = "1.0.2"
 
 [[deps.AxisAlgorithms]]
 deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
@@ -144,9 +163,9 @@ uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
 version = "1.3.2"
 
 [[deps.Bijections]]
-git-tree-sha1 = "71281c0c28f97e0adeed24fdaa6bf7d37177f297"
+git-tree-sha1 = "c9b163bd832e023571e86d0b90d9de92a9879088"
 uuid = "e2ed5e7c-b2de-5872-ae92-c73ca462fb04"
-version = "0.1.5"
+version = "0.1.6"
 
 [[deps.Bzip2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -182,9 +201,9 @@ version = "1.0.5"
 
 [[deps.CairoMakie]]
 deps = ["Base64", "Cairo", "Colors", "FFTW", "FileIO", "FreeType", "GeometryBasics", "LinearAlgebra", "Makie", "PrecompileTools", "SHA"]
-git-tree-sha1 = "74384dc4aba2b377e22703e849154252930c434d"
+git-tree-sha1 = "5e21a254d82c64b1a4ed9dbdc7e87c5d9cf4a686"
 uuid = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0"
-version = "0.10.11"
+version = "0.10.12"
 
 [[deps.Cairo_jll]]
 deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
@@ -199,28 +218,32 @@ uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
 version = "0.5.1"
 
 [[deps.ChainRulesCore]]
-deps = ["Compat", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "e30f2f4e20f7f186dc36529910beaedc60cfa644"
+deps = ["Compat", "LinearAlgebra"]
+git-tree-sha1 = "e0af648f0692ec1691b5d094b8724ba1346281cf"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "1.16.0"
+version = "1.18.0"
+weakdeps = ["SparseArrays"]
+
+    [deps.ChainRulesCore.extensions]
+    ChainRulesCoreSparseArraysExt = "SparseArrays"
 
 [[deps.CodeTracking]]
 deps = ["InteractiveUtils", "UUIDs"]
-git-tree-sha1 = "a1296f0fe01a4c3f9bf0dc2934efbf4416f5db31"
+git-tree-sha1 = "c0216e792f518b39b22212127d4a84dc31e4e386"
 uuid = "da1fd8a2-8d9e-5ec2-8556-3022fb5608a2"
-version = "1.3.4"
+version = "1.3.5"
 
 [[deps.CodecBzip2]]
 deps = ["Bzip2_jll", "Libdl", "TranscodingStreams"]
-git-tree-sha1 = "ad41de3795924f7a056243eb3e4161448f0523e6"
+git-tree-sha1 = "c0ae2a86b162fb5d7acc65269b469ff5b8a73594"
 uuid = "523fee87-0ab8-5b00-afb7-3ecf72e48cfd"
-version = "0.8.0"
+version = "0.8.1"
 
 [[deps.CodecZlib]]
 deps = ["TranscodingStreams", "Zlib_jll"]
-git-tree-sha1 = "02aa26a4cf76381be7f66e020a3eddeb27b0a092"
+git-tree-sha1 = "cd67fc487743b2f0fd4380d4cbd3a24660d0eec8"
 uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
-version = "0.7.2"
+version = "0.7.3"
 
 [[deps.ColorBrewer]]
 deps = ["Colors", "JSON", "Test"]
@@ -288,11 +311,25 @@ git-tree-sha1 = "02d2316b7ffceff992f3096ae48c7829a8aa0638"
 uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657"
 version = "0.1.3"
 
+[[deps.CompositionsBase]]
+git-tree-sha1 = "802bb88cd69dfd1509f6670416bd4434015693ad"
+uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b"
+version = "0.1.2"
+weakdeps = ["InverseFunctions"]
+
+    [deps.CompositionsBase.extensions]
+    CompositionsBaseInverseFunctionsExt = "InverseFunctions"
+
+[[deps.ConcreteStructs]]
+git-tree-sha1 = "f749037478283d372048690eb3b5f92a79432b34"
+uuid = "2569d6c7-a4a2-43d3-a901-331e8e4be471"
+version = "0.2.3"
+
 [[deps.Conda]]
 deps = ["Downloads", "JSON", "VersionParsing"]
-git-tree-sha1 = "8c86e48c0db1564a1d49548d3515ced5d604c408"
+git-tree-sha1 = "51cab8e982c5b598eea9c8ceaced4b58d9dd37c9"
 uuid = "8f4d0f93-b110-5947-807f-2305c1781a2d"
-version = "1.9.1"
+version = "1.10.0"
 
 [[deps.ConstructionBase]]
 deps = ["LinearAlgebra"]
@@ -312,9 +349,9 @@ version = "0.6.2"
 
 [[deps.CovarianceEstimation]]
 deps = ["LinearAlgebra", "Statistics", "StatsBase"]
-git-tree-sha1 = "6711ad240bb8861dda376bad332d3f89e2ac5f30"
+git-tree-sha1 = "8ac79adea0c79cfcdca599f6f5c08d60a6d11c83"
 uuid = "587fd27a-f159-11e8-2dae-1979310e6154"
-version = "0.2.9"
+version = "0.2.10"
 
 [[deps.DataAPI]]
 git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c"
@@ -338,9 +375,15 @@ uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 
 [[deps.DelaunayTriangulation]]
 deps = ["DataStructures", "EnumX", "ExactPredicates", "Random", "SimpleGraphs"]
-git-tree-sha1 = "bea7984f7e09aeb28a3b071c420a0186cb4fabad"
+git-tree-sha1 = "26eb8e2331b55735c3d305d949aabd7363f07ba7"
 uuid = "927a84f5-c5f4-47a5-9785-b46e178433df"
-version = "0.8.8"
+version = "0.8.11"
+
+[[deps.DelimitedFiles]]
+deps = ["Mmap"]
+git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae"
+uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
+version = "1.9.1"
 
 [[deps.DiffResults]]
 deps = ["StaticArraysCore"]
@@ -359,18 +402,20 @@ deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[deps.Distributions]]
-deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "Test"]
-git-tree-sha1 = "3d5873f811f582873bb9871fc9c451784d5dc8c7"
+deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "a6c00f894f24460379cb7136633cef54ac9f6f4a"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.102"
+version = "0.25.103"
 
     [deps.Distributions.extensions]
     DistributionsChainRulesCoreExt = "ChainRulesCore"
     DistributionsDensityInterfaceExt = "DensityInterface"
+    DistributionsTestExt = "Test"
 
     [deps.Distributions.weakdeps]
     ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
     DensityInterface = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
+    Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [[deps.DocStringExtensions]]
 deps = ["LibGit2"]
@@ -424,10 +469,10 @@ uuid = "90fa49ef-747e-5e6f-a989-263ba693cf1a"
 version = "0.5.2"
 
 [[deps.ExactPredicates]]
-deps = ["IntervalArithmetic", "Random", "StaticArraysCore", "Test"]
-git-tree-sha1 = "276e83bc8b21589b79303b9985c321024ffdf59c"
+deps = ["IntervalArithmetic", "Random", "StaticArraysCore"]
+git-tree-sha1 = "499b1ca78f6180c8f8bdf1cabde2d39120229e5c"
 uuid = "429591f6-91af-11e9-00e2-59fbe8cec110"
-version = "2.2.5"
+version = "2.2.6"
 
 [[deps.Expat_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -437,9 +482,9 @@ version = "2.5.0+0"
 
 [[deps.ExponentialAction]]
 deps = ["AbstractDifferentiation", "ChainRulesCore", "Compat", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "444a4ee2aa54486f67faee37d0b1ce0892434132"
+git-tree-sha1 = "92d7b0f61ed61b3df443a0ed57331f5a0faa5819"
 uuid = "e24c0720-ea99-47e8-929e-571b494574d3"
-version = "0.2.5"
+version = "0.2.6"
 
 [[deps.ExprTools]]
 git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
@@ -447,9 +492,9 @@ uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
 version = "0.1.10"
 
 [[deps.Extents]]
-git-tree-sha1 = "5e1e4c53fa39afe63a7d356e30452249365fba99"
+git-tree-sha1 = "2140cd04483da90b2da7f99b2add0750504fc39c"
 uuid = "411431e0-e8b7-467b-b5e0-f676ba4f2910"
-version = "0.1.1"
+version = "0.1.2"
 
 [[deps.FFMPEG_jll]]
 deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
@@ -486,12 +531,13 @@ uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
 [[deps.FillArrays]]
 deps = ["LinearAlgebra", "Random"]
-git-tree-sha1 = "a20eaa3ad64254c61eeb5f230d9306e937405434"
+git-tree-sha1 = "28e4e9c4b7b162398ec8004bdabe9a90c78c122d"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
-version = "1.6.1"
-weakdeps = ["SparseArrays", "Statistics"]
+version = "1.8.0"
+weakdeps = ["PDMats", "SparseArrays", "Statistics"]
 
     [deps.FillArrays.extensions]
+    FillArraysPDMatsExt = "PDMats"
     FillArraysSparseArraysExt = "SparseArrays"
     FillArraysStatisticsExt = "Statistics"
 
@@ -744,9 +790,9 @@ uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959"
 version = "1.0.0"
 
 [[deps.Inflate]]
-git-tree-sha1 = "5cd07aab533df5170988219191dfad0519391428"
+git-tree-sha1 = "ea8031dea4aff6bd41f1df8f2fdfb25b33626381"
 uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
-version = "0.1.3"
+version = "0.1.4"
 
 [[deps.IntegerMathUtils]]
 git-tree-sha1 = "b8ffb903da9f7b8cf695a8bead8e01814aa24b30"
@@ -770,26 +816,32 @@ uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
 version = "0.14.7"
 
 [[deps.IntervalArithmetic]]
-deps = ["CRlibm", "FastRounding", "LinearAlgebra", "Markdown", "Random", "RecipesBase", "RoundingEmulator", "SetRounding", "StaticArrays"]
-git-tree-sha1 = "5ab7744289be503d76a944784bac3f2df7b809af"
+deps = ["CRlibm", "EnumX", "FastRounding", "LinearAlgebra", "Markdown", "Random", "RecipesBase", "RoundingEmulator", "SetRounding", "StaticArrays"]
+git-tree-sha1 = "f59e639916283c1d2e106d2b00910b50f4dab76c"
 uuid = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253"
-version = "0.20.9"
+version = "0.21.2"
 
 [[deps.IntervalSets]]
 deps = ["Dates", "Random"]
-git-tree-sha1 = "8e59ea773deee525c99a8018409f64f19fb719e6"
+git-tree-sha1 = "3d8866c029dd6b16e69e0d4a939c4dfcb98fac47"
 uuid = "8197267c-284f-5f27-9208-e0e47529a953"
-version = "0.7.7"
+version = "0.7.8"
 weakdeps = ["Statistics"]
 
     [deps.IntervalSets.extensions]
     IntervalSetsStatisticsExt = "Statistics"
 
+[[deps.InverseFunctions]]
+deps = ["Test"]
+git-tree-sha1 = "68772f49f54b479fa88ace904f6127f0a3bb2e46"
+uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
+version = "0.1.12"
+
 [[deps.Ipopt]]
 deps = ["Ipopt_jll", "LinearAlgebra", "MathOptInterface", "OpenBLAS32_jll", "PrecompileTools"]
-git-tree-sha1 = "e2a6bf921d9569e2a07857518c7ee3afb783f554"
+git-tree-sha1 = "481caf9195288ec5a1968582a8bc14735575ef81"
 uuid = "b6b21f68-93f8-5de0-b562-5493be1d77c9"
-version = "1.4.2"
+version = "1.5.1"
 
 [[deps.Ipopt_jll]]
 deps = ["ASL_jll", "Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "MUMPS_seq_jll", "SPRAL_jll", "libblastrampoline_jll"]
@@ -819,10 +871,10 @@ uuid = "82899510-4779-5014-852e-03e436cf321d"
 version = "1.0.0"
 
 [[deps.JLD2]]
-deps = ["FileIO", "MacroTools", "Mmap", "OrderedCollections", "Pkg", "Printf", "Reexport", "Requires", "TranscodingStreams", "UUIDs"]
-git-tree-sha1 = "c11d691a0dc8e90acfa4740d293ade57f68bfdbb"
+deps = ["FileIO", "MacroTools", "Mmap", "OrderedCollections", "Pkg", "PrecompileTools", "Printf", "Reexport", "Requires", "TranscodingStreams", "UUIDs"]
+git-tree-sha1 = "9bbb5130d3b4fa52846546bca4791ecbdfb52730"
 uuid = "033835bb-8acc-5ee8-8aae-3f567f8a3819"
-version = "0.4.35"
+version = "0.4.38"
 
 [[deps.JLLWrappers]]
 deps = ["Artifacts", "Preferences"]
@@ -850,9 +902,9 @@ version = "2.1.91+0"
 
 [[deps.JuliaInterpreter]]
 deps = ["CodeTracking", "InteractiveUtils", "Random", "UUIDs"]
-git-tree-sha1 = "81dc6aefcbe7421bd62cb6ca0e700779330acff8"
+git-tree-sha1 = "e49bce680c109bc86e3e75ebcb15040d6ad9e1d3"
 uuid = "aa1ae85d-cabe-5617-a682-6adf51b2e16a"
-version = "0.9.25"
+version = "0.9.27"
 
 [[deps.KernelDensity]]
 deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"]
@@ -885,9 +937,9 @@ uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
 version = "2.10.1+0"
 
 [[deps.LaTeXStrings]]
-git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996"
+git-tree-sha1 = "50901ebc375ed41dbf8058da26f9de442febbbec"
 uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
-version = "1.3.0"
+version = "1.3.1"
 
 [[deps.LabelledArrays]]
 deps = ["ArrayInterface", "ChainRulesCore", "ForwardDiff", "LinearAlgebra", "MacroTools", "PreallocationTools", "RecursiveArrayTools", "StaticArrays"]
@@ -914,6 +966,12 @@ version = "0.16.1"
     DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
     SymEngine = "123dc426-2d89-5057-bbad-38513e3affd8"
 
+[[deps.LatticeRules]]
+deps = ["Random"]
+git-tree-sha1 = "7f5b02258a3ca0221a6a9710b0a0a2e8fb4957fe"
+uuid = "73f95e8e-ec14-4e6a-8b18-0d2e271c4e55"
+version = "0.0.1"
+
 [[deps.Lazy]]
 deps = ["MacroTools"]
 git-tree-sha1 = "1370f8202dac30758f3c345f9909b97f53d87d3f"
@@ -989,9 +1047,9 @@ version = "2.36.0+0"
 
 [[deps.LightXML]]
 deps = ["Libdl", "XML2_jll"]
-git-tree-sha1 = "e129d9391168c677cd4800f5c0abb1ed8cb3794f"
+git-tree-sha1 = "3a994404d3f6709610701c7dabfc03fed87a81f8"
 uuid = "9c8b4983-aa76-5018-a973-4c85ecc9e179"
-version = "0.9.0"
+version = "0.9.1"
 
 [[deps.LineSearches]]
 deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf"]
@@ -1005,15 +1063,15 @@ uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[deps.LinearAlgebraX]]
 deps = ["LinearAlgebra", "Mods", "Permutations", "Primes", "SimplePolynomials"]
-git-tree-sha1 = "558a338f1eeabe933f9c2d4052aa7c2c707c3d52"
+git-tree-sha1 = "4ef47ebed04355b50836d4844eabb9d357c1cc8f"
 uuid = "9b3f67b0-2d00-526e-9884-9e4938f8fb88"
-version = "0.1.12"
+version = "0.1.13"
 
 [[deps.LinearMaps]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "6698ab5e662b47ffc63a82b2f43c1cee015cf80d"
+git-tree-sha1 = "9df2ab050ffefe870a09c7b6afdb0cde381703f2"
 uuid = "7a12625a-238d-50fd-b39a-03d52299707e"
-version = "3.11.0"
+version = "3.11.1"
 weakdeps = ["ChainRulesCore", "SparseArrays", "Statistics"]
 
     [deps.LinearMaps.extensions]
@@ -1042,9 +1100,9 @@ uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
 [[deps.LoweredCodeUtils]]
 deps = ["JuliaInterpreter"]
-git-tree-sha1 = "60168780555f3e663c536500aa790b6368adc02a"
+git-tree-sha1 = "c165f205e030208760ebd75b5e1f7706761d9218"
 uuid = "6f1432cf-f94c-5a45-995e-cdbf5db27b0b"
-version = "2.3.0"
+version = "2.3.1"
 
 [[deps.METIS_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -1066,9 +1124,9 @@ version = "4.1.2+0"
 
 [[deps.MPIPreferences]]
 deps = ["Libdl", "Preferences"]
-git-tree-sha1 = "781916a2ebf2841467cda03b6f1af43e23839d85"
+git-tree-sha1 = "8f6af051b9e8ec597fa09d8885ed79fd582f33c9"
 uuid = "3da0fdf6-3ccc-4f1b-acd9-58baa6c99267"
-version = "0.1.9"
+version = "0.1.10"
 
 [[deps.MPItrampoline_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "MPIPreferences", "TOML"]
@@ -1089,16 +1147,16 @@ uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
 version = "0.5.11"
 
 [[deps.Makie]]
-deps = ["Animations", "Base64", "CRC32c", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "DelaunayTriangulation", "Distributions", "DocStringExtensions", "Downloads", "FFMPEG_jll", "FileIO", "FixedPointNumbers", "Formatting", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "InteractiveUtils", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MacroTools", "MakieCore", "Markdown", "Match", "MathTeXEngine", "Observables", "OffsetArrays", "Packing", "PlotUtils", "PolygonOps", "PrecompileTools", "Printf", "REPL", "Random", "RelocatableFolders", "Setfield", "ShaderAbstractions", "Showoff", "SignedDistanceFields", "SparseArrays", "StableHashTraits", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "TriplotBase", "UnicodeFun"]
-git-tree-sha1 = "1d16d20279a145119899b4205258332f0fbeaa94"
+deps = ["Animations", "Base64", "CRC32c", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "DelaunayTriangulation", "Distributions", "DocStringExtensions", "Downloads", "FFMPEG_jll", "FileIO", "FixedPointNumbers", "Formatting", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "InteractiveUtils", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MacroTools", "MakieCore", "Markdown", "MathTeXEngine", "Observables", "OffsetArrays", "Packing", "PlotUtils", "PolygonOps", "PrecompileTools", "Printf", "REPL", "Random", "RelocatableFolders", "Setfield", "ShaderAbstractions", "Showoff", "SignedDistanceFields", "SparseArrays", "StableHashTraits", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "TriplotBase", "UnicodeFun"]
+git-tree-sha1 = "35fa3c150cd96fd77417a23965b7037b90d6ffc9"
 uuid = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
-version = "0.19.11"
+version = "0.19.12"
 
 [[deps.MakieCore]]
 deps = ["Observables", "REPL"]
-git-tree-sha1 = "a94bf3fef9c690a2a4ac1d09d86a59ab89c7f8e4"
+git-tree-sha1 = "9b11acd07f21c4d035bd4156e789532e8ee2cc70"
 uuid = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
-version = "0.6.8"
+version = "0.6.9"
 
 [[deps.ManifoldDiff]]
 deps = ["LinearAlgebra", "ManifoldsBase", "Markdown", "Random", "Requires"]
@@ -1122,9 +1180,9 @@ version = "0.3.6"
 
 [[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 = "c4b11caa68fd34160515aaab682bbd28b9f971d0"
+git-tree-sha1 = "bebeb9a7d5970697b16d8cb569012c05d0d1e62a"
 uuid = "1cead3c2-87b3-11e9-0ccd-23c62b72b94e"
-version = "0.8.79"
+version = "0.8.81"
 
     [deps.Manifolds.extensions]
     ManifoldsBoundaryValueDiffEqExt = "BoundaryValueDiffEq"
@@ -1158,34 +1216,29 @@ version = "0.4.2"
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
-[[deps.Match]]
-git-tree-sha1 = "1d9bc5c1a6e7ee24effb93f175c9342f9154d97f"
-uuid = "7eb4fadd-790c-5f42-8a69-bfa0b872bfbf"
-version = "1.2.0"
-
 [[deps.MathOptInterface]]
 deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "DataStructures", "ForwardDiff", "JSON", "LinearAlgebra", "MutableArithmetics", "NaNMath", "OrderedCollections", "PrecompileTools", "Printf", "SparseArrays", "SpecialFunctions", "Test", "Unicode"]
-git-tree-sha1 = "5c9f1e635e8d491297e596b56fec1c95eafb95a3"
+git-tree-sha1 = "70ea2892b8bfffecc0387ba1a6a21192814f120c"
 uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
-version = "1.20.1"
+version = "1.22.0"
 
 [[deps.MathTeXEngine]]
-deps = ["AbstractTrees", "Automa", "DataStructures", "FreeTypeAbstraction", "GeometryBasics", "LaTeXStrings", "REPL", "RelocatableFolders", "Test", "UnicodeFun"]
-git-tree-sha1 = "8f52dbaa1351ce4cb847d95568cb29e62a307d93"
+deps = ["AbstractTrees", "Automa", "DataStructures", "FreeTypeAbstraction", "GeometryBasics", "LaTeXStrings", "REPL", "RelocatableFolders", "UnicodeFun"]
+git-tree-sha1 = "96ca8a313eb6437db5ffe946c457a401bbb8ce1d"
 uuid = "0a4f8689-d25c-4efe-a92b-7142dfc1aa53"
-version = "0.5.6"
+version = "0.5.7"
 
 [[deps.MatrixEquations]]
 deps = ["LinearAlgebra", "LinearMaps"]
-git-tree-sha1 = "3783f61707e5b9d1c45c4ebff0b1745dd91f3cdb"
+git-tree-sha1 = "825264b8ce24f1ea5ea5f7572be8c4cf34973337"
 uuid = "99c1a7ee-ab34-5fd5-8076-27c950a045f4"
-version = "2.2.11"
+version = "2.3.2"
 
 [[deps.MbedTLS]]
-deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"]
-git-tree-sha1 = "03a9b9718f5682ecb107ac9f7308991db4ce395b"
+deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "NetworkOptions", "Random", "Sockets"]
+git-tree-sha1 = "c067a280ddc25f196b5e7df3877c6b226d390aaf"
 uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
-version = "1.1.7"
+version = "1.1.9"
 
 [[deps.MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -1194,9 +1247,9 @@ version = "2.28.2+0"
 
 [[deps.MicrosoftMPI_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "a7023883872e52bc29bcaac74f19adf39347d2d5"
+git-tree-sha1 = "b01beb91d20b0d1312a9471a36017b5b339d26de"
 uuid = "9237b28f-5490-5468-be7b-bb81f5f5e6cf"
-version = "10.1.4+0"
+version = "10.1.4+1"
 
 [[deps.Missings]]
 deps = ["DataAPI"]
@@ -1229,9 +1282,9 @@ version = "0.4.4"
 
 [[deps.MultivariatePolynomials]]
 deps = ["ChainRulesCore", "DataStructures", "LinearAlgebra", "MutableArithmetics"]
-git-tree-sha1 = "6c2e970692b6f4fed2508865c43a0f67f3820cf4"
+git-tree-sha1 = "6ffb234d6d7c866a75c1879d2099049d3a35a83a"
 uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3"
-version = "0.5.2"
+version = "0.5.3"
 
 [[deps.MutableArithmetics]]
 deps = ["LinearAlgebra", "SparseArrays", "Test"]
@@ -1258,12 +1311,10 @@ uuid = "356022a1-0364-5f58-8944-0da4b18d706f"
 version = "0.2.50"
 
 [[deps.NamedTrajectories]]
-deps = ["CairoMakie", "DataStructures", "JLD2", "LaTeXStrings", "Latexify", "OrderedCollections", "Reexport", "Revise", "Unidecode"]
-git-tree-sha1 = "bd915bc9501ec107d2197eab68d1f70ad4d7432d"
-repo-rev = "main"
-repo-url = "https://github.com/aarontrowbridge/NamedTrajectories.jl.git"
+deps = ["CairoMakie", "JLD2", "LaTeXStrings", "Latexify", "OrderedCollections", "Reexport", "Revise", "Unidecode"]
+git-tree-sha1 = "72404ced973daa4c3e6598317b88cea37a1a6847"
 uuid = "538bc3a1-5ab9-4fc3-b776-35ca1e893e08"
-version = "0.1.3"
+version = "0.1.4"
 
 [[deps.Netpbm]]
 deps = ["FileIO", "ImageCore", "ImageMetadata"]
@@ -1276,9 +1327,9 @@ uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 version = "1.2.0"
 
 [[deps.Observables]]
-git-tree-sha1 = "6862738f9796b3edc1c09d0890afce4eca9e7e93"
+git-tree-sha1 = "7438a59546cf62428fc9d1bc94729146d37a7225"
 uuid = "510215fc-4207-5dde-b226-833fc4488ee2"
-version = "0.5.4"
+version = "0.5.5"
 
 [[deps.OffsetArrays]]
 deps = ["Adapt"]
@@ -1321,16 +1372,16 @@ uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
 version = "0.8.1+0"
 
 [[deps.OpenMPI_jll]]
-deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "MPIPreferences", "TOML"]
-git-tree-sha1 = "e25c1778a98e34219a00455d6e4384e017ea9762"
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "Hwloc_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "MPIPreferences", "PMIx_jll", "TOML", "Zlib_jll", "libevent_jll", "prrte_jll"]
+git-tree-sha1 = "694458ae803b684f09c07f90459cb79655fb377d"
 uuid = "fe0851c0-eecd-5654-98d4-656369965a5c"
-version = "4.1.6+0"
+version = "5.0.0+0"
 
 [[deps.OpenSSL_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "ceeda72c9fd6bbebc4f4f598560789145a8b6c4c"
+git-tree-sha1 = "cc6e1927ac521b659af340e0ca45828a3ffc748f"
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
-version = "3.0.11+0"
+version = "3.0.12+0"
 
 [[deps.OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
@@ -1340,9 +1391,9 @@ version = "0.5.5+0"
 
 [[deps.Optim]]
 deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
-git-tree-sha1 = "963b004d15216f8129f6c0f7d187efa136570be0"
+git-tree-sha1 = "01f85d9269b13fedc61e63cc72ee2213565f7a72"
 uuid = "429524aa-4258-5aef-a3af-852621145aeb"
-version = "1.7.7"
+version = "1.7.8"
 
 [[deps.Opus_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -1351,9 +1402,9 @@ uuid = "91d4177d-7536-5919-b921-800302f37372"
 version = "1.3.2+0"
 
 [[deps.OrderedCollections]]
-git-tree-sha1 = "2e73fe17cac3c62ad1aebe70d44c963c3cfdc3e3"
+git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
-version = "1.6.2"
+version = "1.6.3"
 
 [[deps.PCRE2_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -1362,15 +1413,21 @@ version = "10.42.0+0"
 
 [[deps.PDMats]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "528664265c9c36b3ecdb6d721d47aaab52ddf267"
+git-tree-sha1 = "4e5be6bb265d33669f98eb55d2a57addd1eeb72c"
 uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
-version = "0.11.24"
+version = "0.11.30"
+
+[[deps.PMIx_jll]]
+deps = ["Artifacts", "Hwloc_jll", "JLLWrappers", "Libdl", "Zlib_jll", "libevent_jll"]
+git-tree-sha1 = "8b3b19351fa24791f94d7ae85faf845ca1362541"
+uuid = "32165bc3-0280-59bc-8c0b-c33b6203efab"
+version = "4.2.7+0"
 
 [[deps.PNGFiles]]
 deps = ["Base64", "CEnum", "ImageCore", "IndirectArrays", "OffsetArrays", "libpng_jll"]
-git-tree-sha1 = "9b02b27ac477cad98114584ff964e3052f656a0f"
+git-tree-sha1 = "5ded86ccaf0647349231ed6c0822c10886d4a1ee"
 uuid = "f57f5aa1-a3ce-4bc8-8ab9-96f992907883"
-version = "0.4.0"
+version = "0.4.1"
 
 [[deps.Packing]]
 deps = ["GeometryBasics"]
@@ -1398,15 +1455,15 @@ version = "0.12.3"
 
 [[deps.Parsers]]
 deps = ["Dates", "PrecompileTools", "UUIDs"]
-git-tree-sha1 = "716e24b21538abc91f6205fd1d8363f39b442851"
+git-tree-sha1 = "a935806434c9d4c506ba941871b327b96d41f2bf"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.7.2"
+version = "2.8.0"
 
 [[deps.Permutations]]
 deps = ["Combinatorics", "LinearAlgebra", "Random"]
-git-tree-sha1 = "25e2bb0973689836bf164ecb960762f1bb8794dd"
+git-tree-sha1 = "4f69b02cf40a0f494d0438ab29de32e14ef96e7b"
 uuid = "2ae35dd2-176d-5d53-8349-f30d82d94d4f"
-version = "0.4.17"
+version = "0.4.18"
 
 [[deps.Pixman_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
@@ -1438,9 +1495,9 @@ version = "0.1.2"
 
 [[deps.Polynomials]]
 deps = ["LinearAlgebra", "RecipesBase", "Setfield", "SparseArrays"]
-git-tree-sha1 = "ea78a2764f31715093de7ab495e12c0187f231d1"
+git-tree-sha1 = "a9c7a523d5ed375be3983db190f6a5874ae9286d"
 uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
-version = "4.0.4"
+version = "4.0.6"
 weakdeps = ["ChainRulesCore", "FFTW", "MakieCore", "MutableArithmetics"]
 
     [deps.Polynomials.extensions]
@@ -1481,9 +1538,9 @@ version = "1.4.1"
 
 [[deps.Primes]]
 deps = ["IntegerMathUtils"]
-git-tree-sha1 = "4c9f306e5d6603ae203c2000dd460d81a5251489"
+git-tree-sha1 = "1d05623b5952aed1307bf8b43bec8b8d1ef94b6e"
 uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae"
-version = "0.5.4"
+version = "0.5.5"
 
 [[deps.Printf]]
 deps = ["Unicode"]
@@ -1511,11 +1568,21 @@ git-tree-sha1 = "9ebcd48c498668c7fa0e97a9cae873fbee7bfee1"
 uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
 version = "2.9.1"
 
+[[deps.QuasiMonteCarlo]]
+deps = ["Accessors", "ConcreteStructs", "LatticeRules", "LinearAlgebra", "Primes", "Random", "Requires", "Sobol", "StatsBase"]
+git-tree-sha1 = "cc086f8485bce77b6187141e1413c3b55f9a4341"
+uuid = "8a4e6c94-4038-4cdc-81c3-7e6ffdb2a71b"
+version = "0.3.3"
+weakdeps = ["Distributions"]
+
+    [deps.QuasiMonteCarlo.extensions]
+    QuasiMonteCarloDistributionsExt = "Distributions"
+
 [[deps.Quaternions]]
 deps = ["LinearAlgebra", "Random", "RealDot"]
-git-tree-sha1 = "da095158bdc8eaccb7890f9884048555ab771019"
+git-tree-sha1 = "9a46862d248ea548e340e30e2894118749dc7f51"
 uuid = "94ee1d12-ae83-5a48-8b1c-48b8ff168ae0"
-version = "0.7.4"
+version = "0.7.5"
 
 [[deps.REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
@@ -1527,9 +1594,9 @@ uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
 [[deps.RandomExtensions]]
 deps = ["Random", "SparseArrays"]
-git-tree-sha1 = "062986376ce6d394b23d5d90f01d81426113a3c9"
+git-tree-sha1 = "b8a399e95663485820000f26b6a43c794e166a49"
 uuid = "fb686558-2515-59ef-acaa-46db3789a887"
-version = "0.4.3"
+version = "0.4.4"
 
 [[deps.RangeArrays]]
 git-tree-sha1 = "b9039e93773ddcfc828f12aadf7115b4b4d225f5"
@@ -1583,9 +1650,9 @@ version = "1.2.2"
 
 [[deps.RelocatableFolders]]
 deps = ["SHA", "Scratch"]
-git-tree-sha1 = "90bc7a7c96410424509e4263e277e43250c05691"
+git-tree-sha1 = "ffdaf70d81cf6ff22c2b6e733c900c3321cab864"
 uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
-version = "1.0.0"
+version = "1.0.1"
 
 [[deps.Requires]]
 deps = ["UUIDs"]
@@ -1595,9 +1662,9 @@ version = "1.3.0"
 
 [[deps.Revise]]
 deps = ["CodeTracking", "Distributed", "FileWatching", "JuliaInterpreter", "LibGit2", "LoweredCodeUtils", "OrderedCollections", "Pkg", "REPL", "Requires", "UUIDs", "Unicode"]
-git-tree-sha1 = "609c26951d80551620241c3d7090c71a73da75ab"
+git-tree-sha1 = "6990168abf3fe9a6e34ebb0e05aaaddf6572189e"
 uuid = "295af30f-e4ad-537b-8983-00126c2a3abe"
-version = "3.5.6"
+version = "3.5.10"
 
 [[deps.RingLists]]
 deps = ["Random"]
@@ -1634,9 +1701,9 @@ version = "0.7.0"
 
 [[deps.SIMD]]
 deps = ["PrecompileTools"]
-git-tree-sha1 = "0e270732477b9e551d884e6b07e23bb2ec947790"
+git-tree-sha1 = "d8911cc125da009051fb35322415641d02d9e37f"
 uuid = "fdea26ae-647d-5447-a871-4b548cad5224"
-version = "3.4.5"
+version = "3.4.6"
 
 [[deps.SPRAL_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Hwloc_jll", "JLLWrappers", "Libdl", "METIS_jll", "libblastrampoline_jll"]
@@ -1645,30 +1712,39 @@ uuid = "319450e9-13b8-58e8-aa9f-8fd1420848ab"
 version = "2023.8.2+0"
 
 [[deps.SciMLBase]]
-deps = ["ADTypes", "ArrayInterface", "ChainRulesCore", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FillArrays", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces", "ZygoteRules"]
-git-tree-sha1 = "0842f7f77bf2d9546e0bbc543d03be3d53a30600"
+deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FillArrays", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "QuasiMonteCarlo", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces"]
+git-tree-sha1 = "d432b4c4cc922fb7b21b555c138aa87f9fb7beb8"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "2.1.0"
+version = "2.9.1"
 
     [deps.SciMLBase.extensions]
-    PyCallExt = "PyCall"
-    ZygoteExt = "Zygote"
+    SciMLBaseChainRulesCoreExt = "ChainRulesCore"
+    SciMLBasePartialFunctionsExt = "PartialFunctions"
+    SciMLBasePyCallExt = "PyCall"
+    SciMLBasePythonCallExt = "PythonCall"
+    SciMLBaseRCallExt = "RCall"
+    SciMLBaseZygoteExt = "Zygote"
 
     [deps.SciMLBase.weakdeps]
+    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    PartialFunctions = "570af359-4316-4cb7-8c74-252c00c2016b"
     PyCall = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
+    PythonCall = "6099a3de-0909-46bc-b1f4-468b9a2dfc0d"
+    RCall = "6f49c342-dc21-5d91-9882-a32aef131414"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.SciMLOperators]]
 deps = ["ArrayInterface", "DocStringExtensions", "Lazy", "LinearAlgebra", "Setfield", "SparseArrays", "StaticArraysCore", "Tricks"]
-git-tree-sha1 = "65c2e6ced6f62ea796af251eb292a0e131a3613b"
+git-tree-sha1 = "51ae235ff058a64815e0a2c34b1db7578a06813d"
 uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
-version = "0.3.6"
+version = "0.3.7"
 
 [[deps.Scratch]]
 deps = ["Dates"]
-git-tree-sha1 = "30449ee12237627992a99d5e30ae63e4d78cd24a"
+git-tree-sha1 = "3bac05bc7e74a75fd9cba4295cde4045d9fe2386"
 uuid = "6c6a2e73-6563-6170-7368-637461726353"
-version = "1.2.0"
+version = "1.2.1"
 
 [[deps.Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
@@ -1708,15 +1784,15 @@ version = "0.4.0"
 
 [[deps.SimpleGraphs]]
 deps = ["AbstractLattices", "Combinatorics", "DataStructures", "IterTools", "LightXML", "LinearAlgebra", "LinearAlgebraX", "Optim", "Primes", "Random", "RingLists", "SimplePartitions", "SimplePolynomials", "SimpleRandom", "SparseArrays", "Statistics"]
-git-tree-sha1 = "b608903049d11cc557c45e03b3a53e9260579c19"
+git-tree-sha1 = "f65caa24a622f985cc341de81d3f9744435d0d0f"
 uuid = "55797a34-41de-5266-9ec1-32ac4eb504d3"
-version = "0.8.4"
+version = "0.8.6"
 
 [[deps.SimplePartitions]]
 deps = ["AbstractLattices", "DataStructures", "Permutations"]
-git-tree-sha1 = "dcc02923a53f316ab97da8ef3136e80b4543dbf1"
+git-tree-sha1 = "e9330391d04241eafdc358713b48396619c83bcb"
 uuid = "ec83eff0-a5b5-5643-ae32-5cbf6eedec9d"
-version = "0.3.0"
+version = "0.3.1"
 
 [[deps.SimplePolynomials]]
 deps = ["Mods", "Multisets", "Polynomials", "Primes"]
@@ -1754,6 +1830,12 @@ git-tree-sha1 = "e760a70afdcd461cf01a575947738d359234665c"
 uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c"
 version = "1.0.3"
 
+[[deps.Sobol]]
+deps = ["DelimitedFiles", "Random"]
+git-tree-sha1 = "5a74ac22a9daef23705f010f72c81d6925b19df8"
+uuid = "ed01d8cd-4d21-5b2a-85b4-cc3bdc58bad4"
+version = "1.5.0"
+
 [[deps.Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
@@ -1765,9 +1847,9 @@ version = "1.1.0"
 
 [[deps.SortingAlgorithms]]
 deps = ["DataStructures"]
-git-tree-sha1 = "c60ec5c62180f27efea3ba2908480f8055e17cee"
+git-tree-sha1 = "5165dfb9fd131cf0c6957a3a7605dede376e7b63"
 uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
-version = "1.1.1"
+version = "1.2.0"
 
 [[deps.SparseArrays]]
 deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
@@ -1785,9 +1867,9 @@ weakdeps = ["ChainRulesCore"]
 
 [[deps.StableHashTraits]]
 deps = ["Compat", "SHA", "Tables", "TupleTools"]
-git-tree-sha1 = "19df33ca14f24a3ad2df9e89124bd5f5cc8467a2"
+git-tree-sha1 = "d29023a76780bb8a3f2273b29153fd00828cb73f"
 uuid = "c5dd0088-6c3f-4803-b00e-f31a60c170fa"
-version = "1.0.1"
+version = "1.1.1"
 
 [[deps.StackViews]]
 deps = ["OffsetArrays"]
@@ -1796,10 +1878,10 @@ uuid = "cae243ae-269e-4f55-b966-ac2d0dc13c15"
 version = "0.1.1"
 
 [[deps.StaticArrays]]
-deps = ["LinearAlgebra", "Random", "StaticArraysCore"]
-git-tree-sha1 = "0adf069a2a490c47273727e029371b31d44b72b2"
+deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
+git-tree-sha1 = "5ef59aea6f18c25168842bded46b16662141ab87"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.6.5"
+version = "1.7.0"
 weakdeps = ["Statistics"]
 
     [deps.StaticArrays.extensions]
@@ -1832,15 +1914,12 @@ deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Re
 git-tree-sha1 = "f625d686d5a88bcd2b15cd81f18f98186fdc0c9a"
 uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
 version = "1.3.0"
+weakdeps = ["ChainRulesCore", "InverseFunctions"]
 
     [deps.StatsFuns.extensions]
     StatsFunsChainRulesCoreExt = "ChainRulesCore"
     StatsFunsInverseFunctionsExt = "InverseFunctions"
 
-    [deps.StatsFuns.weakdeps]
-    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
-
 [[deps.StructArrays]]
 deps = ["Adapt", "ConstructionBase", "DataAPI", "GPUArraysCore", "StaticArraysCore", "Tables"]
 git-tree-sha1 = "0a3db38e4cce3c54fe7a71f831cd7b6194a54213"
@@ -1869,10 +1948,10 @@ uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
 version = "1.4.0"
 
 [[deps.Symbolics]]
-deps = ["ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "Groebner", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicUtils", "TreeViews"]
-git-tree-sha1 = "4e703925f8d0954974f466ee08e866b1513a6d08"
+deps = ["ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "Groebner", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "RecursiveArrayTools", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicUtils", "TreeViews"]
+git-tree-sha1 = "4d4e922e160827388c003a9a088a4c63f339f6c0"
 uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
-version = "5.8.0"
+version = "5.10.0"
 
     [deps.Symbolics.extensions]
     SymbolicsSymPyExt = "SymPy"
@@ -1893,9 +1972,9 @@ version = "1.0.1"
 
 [[deps.Tables]]
 deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits"]
-git-tree-sha1 = "a1f34829d5ac0ef499f6d84428bd6b4c71f02ead"
+git-tree-sha1 = "cb76cf677714c095e535e3501ac7954732aeea2d"
 uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
-version = "1.11.0"
+version = "1.11.1"
 
 [[deps.Tar]]
 deps = ["ArgTools", "SHA"]
@@ -1914,9 +1993,9 @@ uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [[deps.TiffImages]]
 deps = ["ColorTypes", "DataStructures", "DocStringExtensions", "FileIO", "FixedPointNumbers", "IndirectArrays", "Inflate", "Mmap", "OffsetArrays", "PkgVersion", "ProgressMeter", "UUIDs"]
-git-tree-sha1 = "7fd97bd1c5b1ff53a291cbd351d1d3d6ff4da5a5"
+git-tree-sha1 = "34cc045dd0aaa59b8bbe86c644679bc57f1d5bd0"
 uuid = "731e570b-9d59-4bfa-96dc-6df516fadf69"
-version = "0.6.7"
+version = "0.6.8"
 
 [[deps.TimerOutputs]]
 deps = ["ExprTools", "Printf"]
@@ -1930,10 +2009,13 @@ uuid = "6dad8b7f-dd9a-4c28-9b70-85b9a079bfc8"
 version = "0.1.0"
 
 [[deps.TranscodingStreams]]
-deps = ["Random", "Test"]
-git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769"
+git-tree-sha1 = "1fbeaaca45801b4ba17c251dd8603ef24801dd84"
 uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
-version = "0.9.13"
+version = "0.10.2"
+weakdeps = ["Random", "Test"]
+
+    [deps.TranscodingStreams.extensions]
+    TestExt = ["Test", "Random"]
 
 [[deps.TreeViews]]
 deps = ["Test"]
@@ -1942,9 +2024,9 @@ uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
 version = "0.3.0"
 
 [[deps.Tricks]]
-git-tree-sha1 = "aadb748be58b492045b4f56166b5188aa63ce549"
+git-tree-sha1 = "eae1bb484cd63b36999ee58be2de6c178105112f"
 uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
-version = "0.1.7"
+version = "0.1.8"
 
 [[deps.TriplotBase]]
 git-tree-sha1 = "4d4ed7f294cda19382ff7de4c137d24d16adc89b"
@@ -1999,15 +2081,15 @@ version = "1.3.0"
 
 [[deps.WoodburyMatrices]]
 deps = ["LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "de67fa59e33ad156a590055375a30b23c40299d3"
+git-tree-sha1 = "5f24e158cf4cee437052371455fe361f526da062"
 uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
-version = "0.5.5"
+version = "0.5.6"
 
 [[deps.XML2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
-git-tree-sha1 = "24b81b59bd35b3c42ab84fa589086e19be919916"
+git-tree-sha1 = "da69178aacc095066bad1f69d2f59a60a1dd8ad1"
 uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
-version = "2.11.5+0"
+version = "2.12.0+0"
 
 [[deps.XSLT_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
@@ -2080,12 +2162,6 @@ deps = ["Libdl"]
 uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
 version = "1.2.13+0"
 
-[[deps.ZygoteRules]]
-deps = ["ChainRulesCore", "MacroTools"]
-git-tree-sha1 = "977aed5d006b840e2e40c0b48984f7463109046d"
-uuid = "700de1a5-db45-46bc-99cf-38207098b444"
-version = "0.2.3"
-
 [[deps.isoband_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "51b5eeb3f98367157a7a12a1fb0aa5328946c03c"
@@ -2115,6 +2191,12 @@ deps = ["Artifacts", "Libdl"]
 uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
 version = "5.8.0+0"
 
+[[deps.libevent_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "OpenSSL_jll"]
+git-tree-sha1 = "f04ec6d9a186115fb38f858f05c0c4e1b7fc9dcb"
+uuid = "1080aeaf-3a6a-583e-a51c-c537b09f60ec"
+version = "2.1.13+1"
+
 [[deps.libfdk_aac_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
@@ -2155,6 +2237,12 @@ deps = ["Artifacts", "Libdl"]
 uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
 version = "17.4.0+0"
 
+[[deps.prrte_jll]]
+deps = ["Artifacts", "Hwloc_jll", "JLLWrappers", "Libdl", "PMIx_jll", "libevent_jll"]
+git-tree-sha1 = "5adb2d7a18a30280feb66cad6f1a1dfdca2dc7b0"
+uuid = "eb928a42-fffd-568d-ab9c-3f5d54fc65b9"
+version = "3.0.2+0"
+
 [[deps.x264_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
diff --git a/Project.toml b/Project.toml
index bbf7c1f1..c7cf89b0 100644
--- a/Project.toml
+++ b/Project.toml
@@ -43,7 +43,7 @@ JLD2 = "0.4"
 LaTeXStrings = "1.3"
 Manifolds = "0.8, 0.9"
 MathOptInterface = "1.20"
-NamedTrajectories = "0.1"
+NamedTrajectories = "0.1.4"
 Reexport = "1.2"
 Revise = "3.5"
 Symbolics = "5.8"
diff --git a/README.md b/README.md
index 6a733a87..a675423e 100644
--- a/README.md
+++ b/README.md
@@ -7,9 +7,9 @@
 
 <div align="center">
 
-| **Documentation** | **Build Status** | **Code Coverage** | **Support** | **Paper** |
-|:-----------------:|:----------------:|:-----------------:| :----------:|:--------:|
-| [![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://aarontrowbridge.github.io/QuantumCollocation.jl/stable/) [![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://aarontrowbridge.github.io/QuantumCollocation.jl/dev/) | [![Build Status](https://github.com/aarontrowbridge/QuantumCollocation.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/aarontrowbridge/QuantumCollocation.jl/actions/workflows/CI.yml?query=branch%3Amain) | [![Coverage](https://codecov.io/gh/aarontrowbridge/QuantumCollocation.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/aarontrowbridge/QuantumCollocation.jl)| [![Unitary Fund](https://img.shields.io/badge/Supported%20By-Unitary%20Fund-FFFF00.svg)](https://unitary.fund) | [![arXiv](https://img.shields.io/badge/arXiv-2305.03261-b31b1b.svg)](https://arxiv.org/abs/2305.03261)
+| **Documentation** | **Build Status** | **Support** | **Paper** |
+|:-----------------:|:----------------:|:-----------:|:---------:|
+| [![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://aarontrowbridge.github.io/QuantumCollocation.jl/stable/) [![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://aarontrowbridge.github.io/QuantumCollocation.jl/dev/) | [![Build Status](https://github.com/aarontrowbridge/QuantumCollocation.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/aarontrowbridge/QuantumCollocation.jl/actions/workflows/CI.yml?query=branch%3Amain) [![Coverage](https://codecov.io/gh/aarontrowbridge/QuantumCollocation.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/aarontrowbridge/QuantumCollocation.jl)| [![Unitary Fund](https://img.shields.io/badge/Supported%20By-Unitary%20Fund-FFFF00.svg)](https://unitary.fund) | [![arXiv](https://img.shields.io/badge/arXiv-2305.03261-b31b1b.svg)](https://arxiv.org/abs/2305.03261)
 
 </div>
 
@@ -65,6 +65,7 @@ Documentation:
   - [ ] three-qubit 
   - [ ] qubit-cavity
   - [ ] qubit-cavity-qubit
+- [ ] contributing guidelines
 
 Functionality:
 
diff --git a/docs/literate/quickstart.jl b/docs/literate/quickstart.jl
index 85180106..138038c6 100644
--- a/docs/literate/quickstart.jl
+++ b/docs/literate/quickstart.jl
@@ -13,7 +13,7 @@
 
 # ## Basic Usage
 
-# For example, to create a problem for a single qubit $X$ gate (with a bound on the drive of $|a| < a_{\text{bound}}$), i.e., with system hamiltonian
+# For example, to create a problem for a single qubit $X$ gate (with a bound on the drive of $|a^i| < a_{\text{bound}}$), i.e., with system hamiltonian
 # ```math
 # H(t) = \frac{\omega}{2} \sigma_z + a^1(t) \sigma_x + a^2(t) \sigma_y
 # ```
diff --git a/docs/src/generated/quickstart.md b/docs/src/generated/quickstart.md
index ef4d4241..bdd8a565 100644
--- a/docs/src/generated/quickstart.md
+++ b/docs/src/generated/quickstart.md
@@ -17,7 +17,7 @@ there is the `UnitarySmoothPulseProblem` constructor which only requires
 
 ## Basic Usage
 
-For example, to create a problem for a single qubit $X$ gate (with a bound on the drive of $|a| < a_{\text{bound}}$), i.e., with system hamiltonian
+For example, to create a problem for a single qubit $X$ gate (with a bound on the drive of $|a^i| < a_{\text{bound}}$), i.e., with system hamiltonian
 ```math
 H(t) = \frac{\omega}{2} \sigma_z + a^1(t) \sigma_x + a^2(t) \sigma_y
 ```