diff --git a/Manifest.toml b/Manifest.toml
index 2529e125..108f33ea 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -11,9 +11,9 @@ version = "0.2.5"
 
 [[deps.AbstractAlgebra]]
 deps = ["GroupsCore", "InteractiveUtils", "LinearAlgebra", "MacroTools", "Preferences", "Random", "RandomExtensions", "SparseArrays", "Test"]
-git-tree-sha1 = "ce0cb2804273e9147a765501c719038247d7ccd9"
+git-tree-sha1 = "e0cf629808a64842d2b133f7b5c492dc6580f16e"
 uuid = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
-version = "0.33.0"
+version = "0.34.5"
 
 [[deps.AbstractTrees]]
 git-tree-sha1 = "faa260e4cb5aba097a73fab382dd4b5819d8ec8c"
@@ -131,9 +131,9 @@ version = "0.1.5"
 
 [[deps.BoundaryValueDiffEq]]
 deps = ["ADTypes", "Adapt", "ArrayInterface", "BandedMatrices", "ConcreteStructs", "DiffEqBase", "FastAlmostBandedMatrices", "ForwardDiff", "LinearAlgebra", "LinearSolve", "NonlinearSolve", "PreallocationTools", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "Setfield", "SparseArrays", "SparseDiffTools", "Tricks", "TruncatedStacktraces", "UnPack"]
-git-tree-sha1 = "959bf1e2ada0bcc21f92fe2593a32ab5e7a78993"
+git-tree-sha1 = "dd234c9a030350d5ff4c45761d6cad0cfb358cb9"
 uuid = "764a87c0-6b3e-53db-9096-fe964310641d"
-version = "5.5.0"
+version = "5.6.0"
 
     [deps.BoundaryValueDiffEq.extensions]
     BoundaryValueDiffEqODEInterfaceExt = "ODEInterface"
@@ -375,9 +375,9 @@ version = "1.9.1"
 
 [[deps.DiffEqBase]]
 deps = ["ArrayInterface", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "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 = "09ce9525b590bcdd9a807142dc493692aee85ef9"
+git-tree-sha1 = "e2e4e794fb1f7d53acfd307473e6261c4ab7da2e"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.143.0"
+version = "6.144.0"
 
     [deps.DiffEqBase.extensions]
     DiffEqBaseChainRulesCoreExt = "ChainRulesCore"
@@ -738,10 +738,10 @@ uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
 version = "1.0.2"
 
 [[deps.Groebner]]
-deps = ["AbstractAlgebra", "Combinatorics", "ExprTools", "Logging", "MultivariatePolynomials", "PrecompileTools", "Primes", "Printf", "Random", "SIMD", "TimerOutputs"]
-git-tree-sha1 = "909ce267252dde0d10cccad539021c245fcfa20f"
+deps = ["AbstractAlgebra", "Combinatorics", "ExprTools", "Logging", "MultivariatePolynomials", "PrecompileTools", "PrettyTables", "Primes", "Printf", "Random", "SIMD", "TimerOutputs"]
+git-tree-sha1 = "6b505ef15e55bdc5bb3ddbcfebdff1c9e67081e8"
 uuid = "0b43b601-686d-58a3-8a1c-6623616c7cd4"
-version = "0.5.0"
+version = "0.5.1"
 
 [[deps.GroupsCore]]
 deps = ["Markdown", "Random"]
@@ -1751,9 +1751,9 @@ uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 
 [[deps.SparseDiffTools]]
 deps = ["ADTypes", "Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "PackageExtensionCompat", "Random", "Reexport", "SciMLOperators", "Setfield", "SparseArrays", "StaticArrayInterface", "StaticArrays", "Tricks", "UnPack", "VertexSafeGraphs"]
-git-tree-sha1 = "ddea63e5de5405878d990a2cea4fc1daf2d52d41"
+git-tree-sha1 = "c281e11db4eacb36a292a054bac83c5a0aca2a26"
 uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
-version = "2.14.0"
+version = "2.15.0"
 
     [deps.SparseDiffTools.extensions]
     SparseDiffToolsEnzymeExt = "Enzyme"
@@ -1800,9 +1800,9 @@ weakdeps = ["OffsetArrays", "StaticArrays"]
 
 [[deps.StaticArrays]]
 deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
-git-tree-sha1 = "2aded4182a14b19e9b62b063c0ab561809b5af2c"
+git-tree-sha1 = "fba11dbe2562eecdfcac49a05246af09ee64d055"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.8.0"
+version = "1.8.1"
 weakdeps = ["ChainRulesCore", "Statistics"]
 
     [deps.StaticArrays.extensions]