diff --git a/pdm.lock b/pdm.lock
index a378496..51937c9 100644
--- a/pdm.lock
+++ b/pdm.lock
@@ -5,17 +5,98 @@
 groups = ["default"]
 strategy = ["inherit_metadata"]
 lock_version = "4.5.0"
-content_hash = "sha256:da5e1dff6c56da4a2548d4f90e4ea96d638947e708234d4cfc5ec99626fd8001"
+content_hash = "sha256:1fa2b0ff2cc8187ccaf8b8c6a1b27edd170154f96c5e2b2ca78c1a227cb425ed"
 
 [[metadata.targets]]
-requires_python = ">=3.10"
+requires_python = ">=3.10,<=3.12"
+
+[[package]]
+name = "anyio"
+version = "4.6.0"
+requires_python = ">=3.9"
+summary = "High level compatibility layer for multiple asynchronous event loop implementations"
+groups = ["default"]
+dependencies = [
+    "exceptiongroup>=1.0.2; python_version < \"3.11\"",
+    "idna>=2.8",
+    "sniffio>=1.1",
+    "typing-extensions>=4.1; python_version < \"3.11\"",
+]
+files = [
+    {file = "anyio-4.6.0-py3-none-any.whl", hash = "sha256:c7d2e9d63e31599eeb636c8c5c03a7e108d73b345f064f1c19fdc87b79036a9a"},
+    {file = "anyio-4.6.0.tar.gz", hash = "sha256:137b4559cbb034c477165047febb6ff83f390fc3b20bf181c1fc0a728cb8beeb"},
+]
+
+[[package]]
+name = "appnope"
+version = "0.1.4"
+requires_python = ">=3.6"
+summary = "Disable App Nap on macOS >= 10.9"
+groups = ["default"]
+marker = "platform_system == \"Darwin\""
+files = [
+    {file = "appnope-0.1.4-py2.py3-none-any.whl", hash = "sha256:502575ee11cd7a28c0205f379b525beefebab9d161b7c964670864014ed7213c"},
+    {file = "appnope-0.1.4.tar.gz", hash = "sha256:1de3860566df9caf38f01f86f65e0e13e379af54f9e4bee1e66b48f2efffd1ee"},
+]
+
+[[package]]
+name = "argon2-cffi"
+version = "23.1.0"
+requires_python = ">=3.7"
+summary = "Argon2 for Python"
+groups = ["default"]
+dependencies = [
+    "argon2-cffi-bindings",
+    "typing-extensions; python_version < \"3.8\"",
+]
+files = [
+    {file = "argon2_cffi-23.1.0-py3-none-any.whl", hash = "sha256:c670642b78ba29641818ab2e68bd4e6a78ba53b7eff7b4c3815ae16abf91c7ea"},
+    {file = "argon2_cffi-23.1.0.tar.gz", hash = "sha256:879c3e79a2729ce768ebb7d36d4609e3a78a4ca2ec3a9f12286ca057e3d0db08"},
+]
+
+[[package]]
+name = "argon2-cffi-bindings"
+version = "21.2.0"
+requires_python = ">=3.6"
+summary = "Low-level CFFI bindings for Argon2"
+groups = ["default"]
+dependencies = [
+    "cffi>=1.0.1",
+]
+files = [
+    {file = "argon2-cffi-bindings-21.2.0.tar.gz", hash = "sha256:bb89ceffa6c791807d1305ceb77dbfacc5aa499891d2c55661c6459651fc39e3"},
+    {file = "argon2_cffi_bindings-21.2.0-cp36-abi3-macosx_10_9_x86_64.whl", hash = "sha256:ccb949252cb2ab3a08c02024acb77cfb179492d5701c7cbdbfd776124d4d2367"},
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+    {file = "argon2_cffi_bindings-21.2.0-cp36-abi3-win32.whl", hash = "sha256:603ca0aba86b1349b147cab91ae970c63118a0f30444d4bc80355937c950c082"},
+    {file = "argon2_cffi_bindings-21.2.0-cp36-abi3-win_amd64.whl", hash = "sha256:b2ef1c30440dbbcba7a5dc3e319408b59676e2e039e2ae11a8775ecf482b192f"},
+    {file = "argon2_cffi_bindings-21.2.0-cp38-abi3-macosx_10_9_universal2.whl", hash = "sha256:e415e3f62c8d124ee16018e491a009937f8cf7ebf5eb430ffc5de21b900dad93"},
+]
+
+[[package]]
+name = "arrow"
+version = "1.3.0"
+requires_python = ">=3.8"
+summary = "Better dates & times for Python"
+groups = ["default"]
+dependencies = [
+    "python-dateutil>=2.7.0",
+    "types-python-dateutil>=2.8.10",
+]
+files = [
+    {file = "arrow-1.3.0-py3-none-any.whl", hash = "sha256:c728b120ebc00eb84e01882a6f5e7927a53960aa990ce7dd2b10f39005a67f80"},
+    {file = "arrow-1.3.0.tar.gz", hash = "sha256:d4540617648cb5f895730f1ad8c82a65f2dad0166f57b75f3ca54759c4d67a85"},
+]
 
 [[package]]
 name = "asttokens"
 version = "2.4.1"
 summary = "Annotate AST trees with source code positions"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 dependencies = [
     "six>=1.12.0",
     "typing; python_version < \"3.5\"",
@@ -38,6 +119,34 @@ files = [
     {file = "astutils-0.0.6.tar.gz", hash = "sha256:e9a6f31b243ecfc3c7c84dd2f145cf5de83e475b650d2a6b781cfa713ad15427"},
 ]
 
+[[package]]
+name = "async-lru"
+version = "2.0.4"
+requires_python = ">=3.8"
+summary = "Simple LRU cache for asyncio"
+groups = ["default"]
+dependencies = [
+    "typing-extensions>=4.0.0; python_version < \"3.11\"",
+]
+files = [
+    {file = "async-lru-2.0.4.tar.gz", hash = "sha256:b8a59a5df60805ff63220b2a0c5b5393da5521b113cd5465a44eb037d81a5627"},
+    {file = "async_lru-2.0.4-py3-none-any.whl", hash = "sha256:ff02944ce3c288c5be660c42dbcca0742b32c3b279d6dceda655190240b99224"},
+]
+
+[[package]]
+name = "attrs"
+version = "24.2.0"
+requires_python = ">=3.7"
+summary = "Classes Without Boilerplate"
+groups = ["default"]
+dependencies = [
+    "importlib-metadata; python_version < \"3.8\"",
+]
+files = [
+    {file = "attrs-24.2.0-py3-none-any.whl", hash = "sha256:81921eb96de3191c8258c199618104dd27ac608d9366f5e35d011eae1867ede2"},
+    {file = "attrs-24.2.0.tar.gz", hash = "sha256:5cfb1b9148b5b086569baec03f20d7b6bf3bcacc9a42bebf87ffaaca362f6346"},
+]
+
 [[package]]
 name = "babel"
 version = "2.16.0"
@@ -52,6 +161,35 @@ files = [
     {file = "babel-2.16.0.tar.gz", hash = "sha256:d1f3554ca26605fe173f3de0c65f750f5a42f924499bf134de6423582298e316"},
 ]
 
+[[package]]
+name = "beautifulsoup4"
+version = "4.12.3"
+requires_python = ">=3.6.0"
+summary = "Screen-scraping library"
+groups = ["default"]
+dependencies = [
+    "soupsieve>1.2",
+]
+files = [
+    {file = "beautifulsoup4-4.12.3-py3-none-any.whl", hash = "sha256:b80878c9f40111313e55da8ba20bdba06d8fa3969fc68304167741bbf9e082ed"},
+    {file = "beautifulsoup4-4.12.3.tar.gz", hash = "sha256:74e3d1928edc070d21748185c46e3fb33490f22f52a3addee9aee0f4f7781051"},
+]
+
+[[package]]
+name = "bleach"
+version = "6.1.0"
+requires_python = ">=3.8"
+summary = "An easy safelist-based HTML-sanitizing tool."
+groups = ["default"]
+dependencies = [
+    "six>=1.9.0",
+    "webencodings",
+]
+files = [
+    {file = "bleach-6.1.0-py3-none-any.whl", hash = "sha256:3225f354cfc436b9789c66c4ee030194bee0568fbf9cbdad3bc8b5c26c5f12b6"},
+    {file = "bleach-6.1.0.tar.gz", hash = "sha256:0a31f1837963c41d46bbf1331b8778e1308ea0791db03cc4e7357b97cf42a8fe"},
+]
+
 [[package]]
 name = "certifi"
 version = "2024.8.30"
@@ -63,6 +201,65 @@ files = [
     {file = "certifi-2024.8.30.tar.gz", hash = "sha256:bec941d2aa8195e248a60b31ff9f0558284cf01a52591ceda73ea9afffd69fd9"},
 ]
 
+[[package]]
+name = "cffi"
+version = "1.17.1"
+requires_python = ">=3.8"
+summary = "Foreign Function Interface for Python calling C code."
+groups = ["default"]
+dependencies = [
+    "pycparser",
+]
+files = [
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+    {file = "cffi-1.17.1.tar.gz", hash = "sha256:1c39c6016c32bc48dd54561950ebd6836e1670f2ae46128f67cf49e789c52824"},
+]
+
 [[package]]
 name = "charset-normalizer"
 version = "3.3.2"
@@ -145,6 +342,20 @@ files = [
     {file = "colorama-0.4.6.tar.gz", hash = "sha256:08695f5cb7ed6e0531a20572697297273c47b8cae5a63ffc6d6ed5c201be6e44"},
 ]
 
+[[package]]
+name = "comm"
+version = "0.2.2"
+requires_python = ">=3.8"
+summary = "Jupyter Python Comm implementation, for usage in ipykernel, xeus-python etc."
+groups = ["default"]
+dependencies = [
+    "traitlets>=4",
+]
+files = [
+    {file = "comm-0.2.2-py3-none-any.whl", hash = "sha256:e6fb86cb70ff661ee8c9c14e7d36d6de3b4066f1441be4063df9c5009f0a64d3"},
+    {file = "comm-0.2.2.tar.gz", hash = "sha256:3fd7a84065306e07bea1773df6eb8282de51ba82f77c72f9c85716ab11fe980e"},
+]
+
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 name = "contourpy"
 version = "1.3.0"
@@ -300,18 +511,51 @@ files = [
     {file = "dd-0.5.7.tar.gz", hash = "sha256:31bb4293da6e470a1b5ccc907661d77f588be318452a7e9d9d5f09fda1709c9c"},
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+[[package]]
+name = "debugpy"
+version = "1.8.6"
+requires_python = ">=3.8"
+summary = "An implementation of the Debug Adapter Protocol for Python"
+groups = ["default"]
+files = [
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+    {file = "debugpy-1.8.6-cp312-cp312-win32.whl", hash = "sha256:c9834dfd701a1f6bf0f7f0b8b1573970ae99ebbeee68314116e0ccc5c78eea3c"},
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+]
+
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 version = "5.1.1"
 requires_python = ">=3.5"
 summary = "Decorators for Humans"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 files = [
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     {file = "decorator-5.1.1.tar.gz", hash = "sha256:637996211036b6385ef91435e4fae22989472f9d571faba8927ba8253acbc330"},
 ]
 
+[[package]]
+name = "defusedxml"
+version = "0.7.1"
+requires_python = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
+summary = "XML bomb protection for Python stdlib modules"
+groups = ["default"]
+files = [
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+]
+
 [[package]]
 name = "exceptiongroup"
 version = "1.2.2"
@@ -330,12 +574,21 @@ version = "2.1.0"
 requires_python = ">=3.8"
 summary = "Get the currently executing AST node of a frame, and other information"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 files = [
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 ]
 
+[[package]]
+name = "fastjsonschema"
+version = "2.20.0"
+summary = "Fastest Python implementation of JSON schema"
+groups = ["default"]
+files = [
+    {file = "fastjsonschema-2.20.0-py3-none-any.whl", hash = "sha256:5875f0b0fa7a0043a91e93a9b8f793bcbbba9691e7fd83dca95c28ba26d21f0a"},
+    {file = "fastjsonschema-2.20.0.tar.gz", hash = "sha256:3d48fc5300ee96f5d116f10fe6f28d938e6008f59a6a025c2649475b87f76a23"},
+]
+
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 name = "fonttools"
 version = "4.54.1"
@@ -377,6 +630,20 @@ files = [
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 ]
 
+[[package]]
+name = "fqdn"
+version = "1.5.1"
+requires_python = ">=2.7, !=3.0, !=3.1, !=3.2, !=3.3, !=3.4, <4"
+summary = "Validates fully-qualified domain names against RFC 1123, so that they are acceptable to modern bowsers"
+groups = ["default"]
+dependencies = [
+    "cached-property>=1.3.0; python_version < \"3.8\"",
+]
+files = [
+    {file = "fqdn-1.5.1-py3-none-any.whl", hash = "sha256:3a179af3761e4df6eb2e026ff9e1a3033d3587bf980a0b1b2e1e5d08d7358014"},
+    {file = "fqdn-1.5.1.tar.gz", hash = "sha256:105ed3677e767fb5ca086a0c1f4bb66ebc3c100be518f0e0d755d9eae164d89f"},
+]
+
 [[package]]
 name = "ghp-import"
 version = "2.1.0"
@@ -436,6 +703,53 @@ files = [
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 ]
 
+[[package]]
+name = "h11"
+version = "0.14.0"
+requires_python = ">=3.7"
+summary = "A pure-Python, bring-your-own-I/O implementation of HTTP/1.1"
+groups = ["default"]
+dependencies = [
+    "typing-extensions; python_version < \"3.8\"",
+]
+files = [
+    {file = "h11-0.14.0-py3-none-any.whl", hash = "sha256:e3fe4ac4b851c468cc8363d500db52c2ead036020723024a109d37346efaa761"},
+    {file = "h11-0.14.0.tar.gz", hash = "sha256:8f19fbbe99e72420ff35c00b27a34cb9937e902a8b810e2c88300c6f0a3b699d"},
+]
+
+[[package]]
+name = "httpcore"
+version = "1.0.6"
+requires_python = ">=3.8"
+summary = "A minimal low-level HTTP client."
+groups = ["default"]
+dependencies = [
+    "certifi",
+    "h11<0.15,>=0.13",
+]
+files = [
+    {file = "httpcore-1.0.6-py3-none-any.whl", hash = "sha256:27b59625743b85577a8c0e10e55b50b5368a4f2cfe8cc7bcfa9cf00829c2682f"},
+    {file = "httpcore-1.0.6.tar.gz", hash = "sha256:73f6dbd6eb8c21bbf7ef8efad555481853f5f6acdeaff1edb0694289269ee17f"},
+]
+
+[[package]]
+name = "httpx"
+version = "0.27.2"
+requires_python = ">=3.8"
+summary = "The next generation HTTP client."
+groups = ["default"]
+dependencies = [
+    "anyio",
+    "certifi",
+    "httpcore==1.*",
+    "idna",
+    "sniffio",
+]
+files = [
+    {file = "httpx-0.27.2-py3-none-any.whl", hash = "sha256:7bb2708e112d8fdd7829cd4243970f0c223274051cb35ee80c03301ee29a3df0"},
+    {file = "httpx-0.27.2.tar.gz", hash = "sha256:f7c2be1d2f3c3c3160d441802406b206c2b76f5947b11115e6df10c6c65e66c2"},
+]
+
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 name = "humanize"
 version = "4.10.0"
@@ -515,13 +829,38 @@ files = [
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 ]
 
+[[package]]
+name = "ipykernel"
+version = "6.29.5"
+requires_python = ">=3.8"
+summary = "IPython Kernel for Jupyter"
+groups = ["default"]
+dependencies = [
+    "appnope; platform_system == \"Darwin\"",
+    "comm>=0.1.1",
+    "debugpy>=1.6.5",
+    "ipython>=7.23.1",
+    "jupyter-client>=6.1.12",
+    "jupyter-core!=5.0.*,>=4.12",
+    "matplotlib-inline>=0.1",
+    "nest-asyncio",
+    "packaging",
+    "psutil",
+    "pyzmq>=24",
+    "tornado>=6.1",
+    "traitlets>=5.4.0",
+]
+files = [
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+    {file = "ipykernel-6.29.5.tar.gz", hash = "sha256:f093a22c4a40f8828f8e330a9c297cb93dcab13bd9678ded6de8e5cf81c56215"},
+]
+
 [[package]]
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 version = "8.28.0"
 requires_python = ">=3.10"
 summary = "IPython: Productive Interactive Computing"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 dependencies = [
     "colorama; sys_platform == \"win32\"",
     "decorator",
@@ -540,13 +879,44 @@ files = [
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 ]
 
+[[package]]
+name = "ipywidgets"
+version = "8.1.5"
+requires_python = ">=3.7"
+summary = "Jupyter interactive widgets"
+groups = ["default"]
+dependencies = [
+    "comm>=0.1.3",
+    "ipython>=6.1.0",
+    "jupyterlab-widgets~=3.0.12",
+    "traitlets>=4.3.1",
+    "widgetsnbextension~=4.0.12",
+]
+files = [
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+    {file = "ipywidgets-8.1.5.tar.gz", hash = "sha256:870e43b1a35656a80c18c9503bbf2d16802db1cb487eec6fab27d683381dde17"},
+]
+
+[[package]]
+name = "isoduration"
+version = "20.11.0"
+requires_python = ">=3.7"
+summary = "Operations with ISO 8601 durations"
+groups = ["default"]
+dependencies = [
+    "arrow>=0.15.0",
+]
+files = [
+    {file = "isoduration-20.11.0-py3-none-any.whl", hash = "sha256:b2904c2a4228c3d44f409c8ae8e2370eb21a26f7ac2ec5446df141dde3452042"},
+    {file = "isoduration-20.11.0.tar.gz", hash = "sha256:ac2f9015137935279eac671f94f89eb00584f940f5dc49462a0c4ee692ba1bd9"},
+]
+
 [[package]]
 name = "jedi"
 version = "0.19.1"
 requires_python = ">=3.6"
 summary = "An autocompletion tool for Python that can be used for text editors."
 groups = ["default"]
-marker = "python_version > \"3.6\""
 dependencies = [
     "parso<0.9.0,>=0.8.3",
 ]
@@ -569,6 +939,313 @@ files = [
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 ]
 
+[[package]]
+name = "json5"
+version = "0.9.25"
+requires_python = ">=3.8"
+summary = "A Python implementation of the JSON5 data format."
+groups = ["default"]
+files = [
+    {file = "json5-0.9.25-py3-none-any.whl", hash = "sha256:34ed7d834b1341a86987ed52f3f76cd8ee184394906b6e22a1e0deb9ab294e8f"},
+    {file = "json5-0.9.25.tar.gz", hash = "sha256:548e41b9be043f9426776f05df8635a00fe06104ea51ed24b67f908856e151ae"},
+]
+
+[[package]]
+name = "jsonpointer"
+version = "3.0.0"
+requires_python = ">=3.7"
+summary = "Identify specific nodes in a JSON document (RFC 6901) "
+groups = ["default"]
+files = [
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+]
+
+[[package]]
+name = "jsonschema"
+version = "4.23.0"
+requires_python = ">=3.8"
+summary = "An implementation of JSON Schema validation for Python"
+groups = ["default"]
+dependencies = [
+    "attrs>=22.2.0",
+    "importlib-resources>=1.4.0; python_version < \"3.9\"",
+    "jsonschema-specifications>=2023.03.6",
+    "pkgutil-resolve-name>=1.3.10; python_version < \"3.9\"",
+    "referencing>=0.28.4",
+    "rpds-py>=0.7.1",
+]
+files = [
+    {file = "jsonschema-4.23.0-py3-none-any.whl", hash = "sha256:fbadb6f8b144a8f8cf9f0b89ba94501d143e50411a1278633f56a7acf7fd5566"},
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+]
+
+[[package]]
+name = "jsonschema-specifications"
+version = "2023.12.1"
+requires_python = ">=3.8"
+summary = "The JSON Schema meta-schemas and vocabularies, exposed as a Registry"
+groups = ["default"]
+dependencies = [
+    "importlib-resources>=1.4.0; python_version < \"3.9\"",
+    "referencing>=0.31.0",
+]
+files = [
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+[[package]]
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+extras = ["format-nongpl"]
+requires_python = ">=3.8"
+summary = "An implementation of JSON Schema validation for Python"
+groups = ["default"]
+dependencies = [
+    "fqdn",
+    "idna",
+    "isoduration",
+    "jsonpointer>1.13",
+    "jsonschema==4.23.0",
+    "rfc3339-validator",
+    "rfc3986-validator>0.1.0",
+    "uri-template",
+    "webcolors>=24.6.0",
+]
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+summary = "Jupyter metapackage. Install all the Jupyter components in one go."
+groups = ["default"]
+dependencies = [
+    "ipykernel",
+    "ipywidgets",
+    "jupyter-console",
+    "jupyterlab",
+    "nbconvert",
+    "notebook",
+]
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+groups = ["default"]
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+    "jupyter-core!=5.0.*,>=4.12",
+    "python-dateutil>=2.8.2",
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+groups = ["default"]
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+groups = ["default"]
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+groups = ["default"]
+dependencies = [
+    "jsonschema[format-nongpl]>=4.18.0",
+    "python-json-logger>=2.0.4",
+    "pyyaml>=5.3",
+    "referencing",
+    "rfc3339-validator",
+    "rfc3986-validator>=0.1.1",
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+requires_python = ">=3.8"
+summary = "Multi-Language Server WebSocket proxy for Jupyter Notebook/Lab server"
+groups = ["default"]
+dependencies = [
+    "importlib-metadata>=4.8.3; python_version < \"3.10\"",
+    "jupyter-server>=1.1.2",
+]
+files = [
+    {file = "jupyter-lsp-2.2.5.tar.gz", hash = "sha256:793147a05ad446f809fd53ef1cd19a9f5256fd0a2d6b7ce943a982cb4f545001"},
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+]
+
+[[package]]
+name = "jupyter-server"
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+requires_python = ">=3.8"
+summary = "The backend—i.e. core services, APIs, and REST endpoints—to Jupyter web applications."
+groups = ["default"]
+dependencies = [
+    "anyio>=3.1.0",
+    "argon2-cffi>=21.1",
+    "jinja2>=3.0.3",
+    "jupyter-client>=7.4.4",
+    "jupyter-core!=5.0.*,>=4.12",
+    "jupyter-events>=0.9.0",
+    "jupyter-server-terminals>=0.4.4",
+    "nbconvert>=6.4.4",
+    "nbformat>=5.3.0",
+    "overrides>=5.0",
+    "packaging>=22.0",
+    "prometheus-client>=0.9",
+    "pywinpty>=2.0.1; os_name == \"nt\"",
+    "pyzmq>=24",
+    "send2trash>=1.8.2",
+    "terminado>=0.8.3",
+    "tornado>=6.2.0",
+    "traitlets>=5.6.0",
+    "websocket-client>=1.7",
+]
+files = [
+    {file = "jupyter_server-2.14.2-py3-none-any.whl", hash = "sha256:47ff506127c2f7851a17bf4713434208fc490955d0e8632e95014a9a9afbeefd"},
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+]
+
+[[package]]
+name = "jupyter-server-terminals"
+version = "0.5.3"
+requires_python = ">=3.8"
+summary = "A Jupyter Server Extension Providing Terminals."
+groups = ["default"]
+dependencies = [
+    "pywinpty>=2.0.3; os_name == \"nt\"",
+    "terminado>=0.8.3",
+]
+files = [
+    {file = "jupyter_server_terminals-0.5.3-py3-none-any.whl", hash = "sha256:41ee0d7dc0ebf2809c668e0fc726dfaf258fcd3e769568996ca731b6194ae9aa"},
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+]
+
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+version = "4.2.5"
+requires_python = ">=3.8"
+summary = "JupyterLab computational environment"
+groups = ["default"]
+dependencies = [
+    "async-lru>=1.0.0",
+    "httpx>=0.25.0",
+    "importlib-metadata>=4.8.3; python_version < \"3.10\"",
+    "importlib-resources>=1.4; python_version < \"3.9\"",
+    "ipykernel>=6.5.0",
+    "jinja2>=3.0.3",
+    "jupyter-core",
+    "jupyter-lsp>=2.0.0",
+    "jupyter-server<3,>=2.4.0",
+    "jupyterlab-server<3,>=2.27.1",
+    "notebook-shim>=0.2",
+    "packaging",
+    "setuptools>=40.1.0",
+    "tomli>=1.2.2; python_version < \"3.11\"",
+    "tornado>=6.2.0",
+    "traitlets",
+]
+files = [
+    {file = "jupyterlab-4.2.5-py3-none-any.whl", hash = "sha256:73b6e0775d41a9fee7ee756c80f58a6bed4040869ccc21411dc559818874d321"},
+    {file = "jupyterlab-4.2.5.tar.gz", hash = "sha256:ae7f3a1b8cb88b4f55009ce79fa7c06f99d70cd63601ee4aa91815d054f46f75"},
+]
+
+[[package]]
+name = "jupyterlab-pygments"
+version = "0.3.0"
+requires_python = ">=3.8"
+summary = "Pygments theme using JupyterLab CSS variables"
+groups = ["default"]
+files = [
+    {file = "jupyterlab_pygments-0.3.0-py3-none-any.whl", hash = "sha256:841a89020971da1d8693f1a99997aefc5dc424bb1b251fd6322462a1b8842780"},
+    {file = "jupyterlab_pygments-0.3.0.tar.gz", hash = "sha256:721aca4d9029252b11cfa9d185e5b5af4d54772bb8072f9b7036f4170054d35d"},
+]
+
+[[package]]
+name = "jupyterlab-server"
+version = "2.27.3"
+requires_python = ">=3.8"
+summary = "A set of server components for JupyterLab and JupyterLab like applications."
+groups = ["default"]
+dependencies = [
+    "babel>=2.10",
+    "importlib-metadata>=4.8.3; python_version < \"3.10\"",
+    "jinja2>=3.0.3",
+    "json5>=0.9.0",
+    "jsonschema>=4.18.0",
+    "jupyter-server<3,>=1.21",
+    "packaging>=21.3",
+    "requests>=2.31",
+]
+files = [
+    {file = "jupyterlab_server-2.27.3-py3-none-any.whl", hash = "sha256:e697488f66c3db49df675158a77b3b017520d772c6e1548c7d9bcc5df7944ee4"},
+    {file = "jupyterlab_server-2.27.3.tar.gz", hash = "sha256:eb36caca59e74471988f0ae25c77945610b887f777255aa21f8065def9e51ed4"},
+]
+
+[[package]]
+name = "jupyterlab-widgets"
+version = "3.0.13"
+requires_python = ">=3.7"
+summary = "Jupyter interactive widgets for JupyterLab"
+groups = ["default"]
+files = [
+    {file = "jupyterlab_widgets-3.0.13-py3-none-any.whl", hash = "sha256:e3cda2c233ce144192f1e29914ad522b2f4c40e77214b0cc97377ca3d323db54"},
+    {file = "jupyterlab_widgets-3.0.13.tar.gz", hash = "sha256:a2966d385328c1942b683a8cd96b89b8dd82c8b8f81dda902bb2bc06d46f5bed"},
+]
+
 [[package]]
 name = "kiwisolver"
 version = "1.4.7"
@@ -760,7 +1437,6 @@ version = "0.1.7"
 requires_python = ">=3.8"
 summary = "Inline Matplotlib backend for Jupyter"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 dependencies = [
     "traitlets",
 ]
@@ -780,6 +1456,17 @@ files = [
     {file = "mergedeep-1.3.4.tar.gz", hash = "sha256:0096d52e9dad9939c3d975a774666af186eda617e6ca84df4c94dec30004f2a8"},
 ]
 
+[[package]]
+name = "mistune"
+version = "3.0.2"
+requires_python = ">=3.7"
+summary = "A sane and fast Markdown parser with useful plugins and renderers"
+groups = ["default"]
+files = [
+    {file = "mistune-3.0.2-py3-none-any.whl", hash = "sha256:71481854c30fdbc938963d3605b72501f5c10a9320ecd412c121c163a1c7d205"},
+    {file = "mistune-3.0.2.tar.gz", hash = "sha256:fc7f93ded930c92394ef2cb6f04a8aabab4117a91449e72dcc8dfa646a508be8"},
+]
+
 [[package]]
 name = "mkdocs"
 version = "1.6.1"
@@ -925,6 +1612,80 @@ files = [
     {file = "natsort-8.4.0.tar.gz", hash = "sha256:45312c4a0e5507593da193dedd04abb1469253b601ecaf63445ad80f0a1ea581"},
 ]
 
+[[package]]
+name = "nbclient"
+version = "0.10.0"
+requires_python = ">=3.8.0"
+summary = "A client library for executing notebooks. Formerly nbconvert's ExecutePreprocessor."
+groups = ["default"]
+dependencies = [
+    "jupyter-client>=6.1.12",
+    "jupyter-core!=5.0.*,>=4.12",
+    "nbformat>=5.1",
+    "traitlets>=5.4",
+]
+files = [
+    {file = "nbclient-0.10.0-py3-none-any.whl", hash = "sha256:f13e3529332a1f1f81d82a53210322476a168bb7090a0289c795fe9cc11c9d3f"},
+    {file = "nbclient-0.10.0.tar.gz", hash = "sha256:4b3f1b7dba531e498449c4db4f53da339c91d449dc11e9af3a43b4eb5c5abb09"},
+]
+
+[[package]]
+name = "nbconvert"
+version = "7.16.4"
+requires_python = ">=3.8"
+summary = "Converting Jupyter Notebooks (.ipynb files) to other formats.  Output formats include asciidoc, html, latex, markdown, pdf, py, rst, script.  nbconvert can be used both as a Python library (`import nbconvert`) or as a command line tool (invoked as `jupyter nbconvert ...`)."
+groups = ["default"]
+dependencies = [
+    "beautifulsoup4",
+    "bleach!=5.0.0",
+    "defusedxml",
+    "importlib-metadata>=3.6; python_version < \"3.10\"",
+    "jinja2>=3.0",
+    "jupyter-core>=4.7",
+    "jupyterlab-pygments",
+    "markupsafe>=2.0",
+    "mistune<4,>=2.0.3",
+    "nbclient>=0.5.0",
+    "nbformat>=5.7",
+    "packaging",
+    "pandocfilters>=1.4.1",
+    "pygments>=2.4.1",
+    "tinycss2",
+    "traitlets>=5.1",
+]
+files = [
+    {file = "nbconvert-7.16.4-py3-none-any.whl", hash = "sha256:05873c620fe520b6322bf8a5ad562692343fe3452abda5765c7a34b7d1aa3eb3"},
+    {file = "nbconvert-7.16.4.tar.gz", hash = "sha256:86ca91ba266b0a448dc96fa6c5b9d98affabde2867b363258703536807f9f7f4"},
+]
+
+[[package]]
+name = "nbformat"
+version = "5.10.4"
+requires_python = ">=3.8"
+summary = "The Jupyter Notebook format"
+groups = ["default"]
+dependencies = [
+    "fastjsonschema>=2.15",
+    "jsonschema>=2.6",
+    "jupyter-core!=5.0.*,>=4.12",
+    "traitlets>=5.1",
+]
+files = [
+    {file = "nbformat-5.10.4-py3-none-any.whl", hash = "sha256:3b48d6c8fbca4b299bf3982ea7db1af21580e4fec269ad087b9e81588891200b"},
+    {file = "nbformat-5.10.4.tar.gz", hash = "sha256:322168b14f937a5d11362988ecac2a4952d3d8e3a2cbeb2319584631226d5b3a"},
+]
+
+[[package]]
+name = "nest-asyncio"
+version = "1.6.0"
+requires_python = ">=3.5"
+summary = "Patch asyncio to allow nested event loops"
+groups = ["default"]
+files = [
+    {file = "nest_asyncio-1.6.0-py3-none-any.whl", hash = "sha256:87af6efd6b5e897c81050477ef65c62e2b2f35d51703cae01aff2905b1852e1c"},
+    {file = "nest_asyncio-1.6.0.tar.gz", hash = "sha256:6f172d5449aca15afd6c646851f4e31e02c598d553a667e38cafa997cfec55fe"},
+]
+
 [[package]]
 name = "networkx"
 version = "3.3"
@@ -936,6 +1697,38 @@ files = [
     {file = "networkx-3.3.tar.gz", hash = "sha256:0c127d8b2f4865f59ae9cb8aafcd60b5c70f3241ebd66f7defad7c4ab90126c9"},
 ]
 
+[[package]]
+name = "notebook"
+version = "7.2.2"
+requires_python = ">=3.8"
+summary = "Jupyter Notebook - A web-based notebook environment for interactive computing"
+groups = ["default"]
+dependencies = [
+    "jupyter-server<3,>=2.4.0",
+    "jupyterlab-server<3,>=2.27.1",
+    "jupyterlab<4.3,>=4.2.0",
+    "notebook-shim<0.3,>=0.2",
+    "tornado>=6.2.0",
+]
+files = [
+    {file = "notebook-7.2.2-py3-none-any.whl", hash = "sha256:c89264081f671bc02eec0ed470a627ed791b9156cad9285226b31611d3e9fe1c"},
+    {file = "notebook-7.2.2.tar.gz", hash = "sha256:2ef07d4220421623ad3fe88118d687bc0450055570cdd160814a59cf3a1c516e"},
+]
+
+[[package]]
+name = "notebook-shim"
+version = "0.2.4"
+requires_python = ">=3.7"
+summary = "A shim layer for notebook traits and config"
+groups = ["default"]
+dependencies = [
+    "jupyter-server<3,>=1.8",
+]
+files = [
+    {file = "notebook_shim-0.2.4-py3-none-any.whl", hash = "sha256:411a5be4e9dc882a074ccbcae671eda64cceb068767e9a3419096986560e1cef"},
+    {file = "notebook_shim-0.2.4.tar.gz", hash = "sha256:b4b2cfa1b65d98307ca24361f5b30fe785b53c3fd07b7a47e89acb5e6ac638cb"},
+]
+
 [[package]]
 name = "numpy"
 version = "2.1.1"
@@ -1016,6 +1809,20 @@ files = [
     {file = "omega-0.3.1.tar.gz", hash = "sha256:d8ecf25ec0b0b3da12b13ef28b44a90ab245036d70188acc775c279175a556dc"},
 ]
 
+[[package]]
+name = "overrides"
+version = "7.7.0"
+requires_python = ">=3.6"
+summary = "A decorator to automatically detect mismatch when overriding a method."
+groups = ["default"]
+dependencies = [
+    "typing; python_version < \"3.5\"",
+]
+files = [
+    {file = "overrides-7.7.0-py3-none-any.whl", hash = "sha256:c7ed9d062f78b8e4c1a7b70bd8796b35ead4d9f510227ef9c5dc7626c60d7e49"},
+    {file = "overrides-7.7.0.tar.gz", hash = "sha256:55158fa3d93b98cc75299b1e67078ad9003ca27945c76162c1c0766d6f91820a"},
+]
+
 [[package]]
 name = "packaging"
 version = "24.1"
@@ -1037,13 +1844,23 @@ files = [
     {file = "paginate-0.5.7.tar.gz", hash = "sha256:22bd083ab41e1a8b4f3690544afb2c60c25e5c9a63a30fa2f483f6c60c8e5945"},
 ]
 
+[[package]]
+name = "pandocfilters"
+version = "1.5.1"
+requires_python = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
+summary = "Utilities for writing pandoc filters in python"
+groups = ["default"]
+files = [
+    {file = "pandocfilters-1.5.1-py2.py3-none-any.whl", hash = "sha256:93be382804a9cdb0a7267585f157e5d1731bbe5545a85b268d6f5fe6232de2bc"},
+    {file = "pandocfilters-1.5.1.tar.gz", hash = "sha256:002b4a555ee4ebc03f8b66307e287fa492e4a77b4ea14d3f934328297bb4939e"},
+]
+
 [[package]]
 name = "parso"
 version = "0.8.4"
 requires_python = ">=3.6"
 summary = "A Python Parser"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 files = [
     {file = "parso-0.8.4-py2.py3-none-any.whl", hash = "sha256:a418670a20291dacd2dddc80c377c5c3791378ee1e8d12bffc35420643d43f18"},
     {file = "parso-0.8.4.tar.gz", hash = "sha256:eb3a7b58240fb99099a345571deecc0f9540ea5f4dd2fe14c2a99d6b281ab92d"},
@@ -1065,7 +1882,7 @@ name = "pexpect"
 version = "4.9.0"
 summary = "Pexpect allows easy control of interactive console applications."
 groups = ["default"]
-marker = "(sys_platform != \"win32\" and sys_platform != \"emscripten\") and python_version > \"3.6\""
+marker = "sys_platform != \"win32\" and sys_platform != \"emscripten\""
 dependencies = [
     "ptyprocess>=0.5",
 ]
@@ -1181,13 +1998,23 @@ files = [
     {file = "polytope-0.2.5.tar.gz", hash = "sha256:75712395592e43703986e707474bde962bb6491c09f4bdccfc0ebd4c6c387f09"},
 ]
 
+[[package]]
+name = "prometheus-client"
+version = "0.21.0"
+requires_python = ">=3.8"
+summary = "Python client for the Prometheus monitoring system."
+groups = ["default"]
+files = [
+    {file = "prometheus_client-0.21.0-py3-none-any.whl", hash = "sha256:4fa6b4dd0ac16d58bb587c04b1caae65b8c5043e85f778f42f5f632f6af2e166"},
+    {file = "prometheus_client-0.21.0.tar.gz", hash = "sha256:96c83c606b71ff2b0a433c98889d275f51ffec6c5e267de37c7a2b5c9aa9233e"},
+]
+
 [[package]]
 name = "prompt-toolkit"
 version = "3.0.48"
 requires_python = ">=3.7.0"
 summary = "Library for building powerful interactive command lines in Python"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 dependencies = [
     "wcwidth",
 ]
@@ -1218,7 +2045,7 @@ name = "ptyprocess"
 version = "0.7.0"
 summary = "Run a subprocess in a pseudo terminal"
 groups = ["default"]
-marker = "(sys_platform != \"win32\" and sys_platform != \"emscripten\") and python_version > \"3.6\""
+marker = "sys_platform != \"win32\" and sys_platform != \"emscripten\" or os_name != \"nt\""
 files = [
     {file = "ptyprocess-0.7.0-py2.py3-none-any.whl", hash = "sha256:4b41f3967fce3af57cc7e94b888626c18bf37a083e3651ca8feeb66d492fef35"},
     {file = "ptyprocess-0.7.0.tar.gz", hash = "sha256:5c5d0a3b48ceee0b48485e0c26037c0acd7d29765ca3fbb5cb3831d347423220"},
@@ -1229,12 +2056,22 @@ name = "pure-eval"
 version = "0.2.3"
 summary = "Safely evaluate AST nodes without side effects"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 files = [
     {file = "pure_eval-0.2.3-py3-none-any.whl", hash = "sha256:1db8e35b67b3d218d818ae653e27f06c3aa420901fa7b081ca98cbedc874e0d0"},
     {file = "pure_eval-0.2.3.tar.gz", hash = "sha256:5f4e983f40564c576c7c8635ae88db5956bb2229d7e9237d03b3c0b0190eaf42"},
 ]
 
+[[package]]
+name = "pycparser"
+version = "2.22"
+requires_python = ">=3.8"
+summary = "C parser in Python"
+groups = ["default"]
+files = [
+    {file = "pycparser-2.22-py3-none-any.whl", hash = "sha256:c3702b6d3dd8c7abc1afa565d7e63d53a1d0bd86cdc24edd75470f4de499cfcc"},
+    {file = "pycparser-2.22.tar.gz", hash = "sha256:491c8be9c040f5390f5bf44a5b07752bd07f56edf992381b05c701439eec10f6"},
+]
+
 [[package]]
 name = "pydot"
 version = "3.0.2"
@@ -1329,6 +2166,52 @@ files = [
     {file = "python_dateutil-2.9.0.post0-py2.py3-none-any.whl", hash = "sha256:a8b2bc7bffae282281c8140a97d3aa9c14da0b136dfe83f850eea9a5f7470427"},
 ]
 
+[[package]]
+name = "python-json-logger"
+version = "2.0.7"
+requires_python = ">=3.6"
+summary = "A python library adding a json log formatter"
+groups = ["default"]
+files = [
+    {file = "python-json-logger-2.0.7.tar.gz", hash = "sha256:23e7ec02d34237c5aa1e29a070193a4ea87583bb4e7f8fd06d3de8264c4b2e1c"},
+    {file = "python_json_logger-2.0.7-py3-none-any.whl", hash = "sha256:f380b826a991ebbe3de4d897aeec42760035ac760345e57b812938dc8b35e2bd"},
+]
+
+[[package]]
+name = "pywin32"
+version = "307"
+summary = "Python for Window Extensions"
+groups = ["default"]
+marker = "sys_platform == \"win32\" and platform_python_implementation != \"PyPy\""
+files = [
+    {file = "pywin32-307-cp310-cp310-win32.whl", hash = "sha256:f8f25d893c1e1ce2d685ef6d0a481e87c6f510d0f3f117932781f412e0eba31b"},
+    {file = "pywin32-307-cp310-cp310-win_amd64.whl", hash = "sha256:36e650c5e5e6b29b5d317385b02d20803ddbac5d1031e1f88d20d76676dd103d"},
+    {file = "pywin32-307-cp310-cp310-win_arm64.whl", hash = "sha256:0c12d61e0274e0c62acee79e3e503c312426ddd0e8d4899c626cddc1cafe0ff4"},
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+    {file = "tornado-6.4.1.tar.gz", hash = "sha256:92d3ab53183d8c50f8204a51e6f91d18a15d5ef261e84d452800d4ff6fc504e9"},
+]
+
 [[package]]
 name = "traitlets"
 version = "5.14.3"
 requires_python = ">=3.8"
 summary = "Traitlets Python configuration system"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 files = [
     {file = "traitlets-5.14.3-py3-none-any.whl", hash = "sha256:b74e89e397b1ed28cc831db7aea759ba6640cb3de13090ca145426688ff1ac4f"},
     {file = "traitlets-5.14.3.tar.gz", hash = "sha256:9ed0579d3502c94b4b3732ac120375cda96f923114522847de4b3bb98b96b6b7"},
@@ -1603,18 +2756,40 @@ files = [
     {file = "tulip-1.4.0.tar.gz", hash = "sha256:451bdecf9a168f2f5047c99a502e54dded858be1aac546cf91e769ebb0b28d78"},
 ]
 
+[[package]]
+name = "types-python-dateutil"
+version = "2.9.0.20241003"
+requires_python = ">=3.8"
+summary = "Typing stubs for python-dateutil"
+groups = ["default"]
+files = [
+    {file = "types-python-dateutil-2.9.0.20241003.tar.gz", hash = "sha256:58cb85449b2a56d6684e41aeefb4c4280631246a0da1a719bdbe6f3fb0317446"},
+    {file = "types_python_dateutil-2.9.0.20241003-py3-none-any.whl", hash = "sha256:250e1d8e80e7bbc3a6c99b907762711d1a1cdd00e978ad39cb5940f6f0a87f3d"},
+]
+
 [[package]]
 name = "typing-extensions"
 version = "4.12.2"
 requires_python = ">=3.8"
 summary = "Backported and Experimental Type Hints for Python 3.8+"
 groups = ["default"]
-marker = "python_version < \"3.12\" and python_version > \"3.6\""
+marker = "python_version < \"3.12\""
 files = [
     {file = "typing_extensions-4.12.2-py3-none-any.whl", hash = "sha256:04e5ca0351e0f3f85c6853954072df659d0d13fac324d0072316b67d7794700d"},
     {file = "typing_extensions-4.12.2.tar.gz", hash = "sha256:1a7ead55c7e559dd4dee8856e3a88b41225abfe1ce8df57b7c13915fe121ffb8"},
 ]
 
+[[package]]
+name = "uri-template"
+version = "1.3.0"
+requires_python = ">=3.7"
+summary = "RFC 6570 URI Template Processor"
+groups = ["default"]
+files = [
+    {file = "uri-template-1.3.0.tar.gz", hash = "sha256:0e00f8eb65e18c7de20d595a14336e9f337ead580c70934141624b6d1ffdacc7"},
+    {file = "uri_template-1.3.0-py3-none-any.whl", hash = "sha256:a44a133ea12d44a0c0f06d7d42a52d71282e77e2f937d8abd5655b8d56fc1363"},
+]
+
 [[package]]
 name = "urllib3"
 version = "2.2.3"
@@ -1665,7 +2840,6 @@ name = "wcwidth"
 version = "0.2.13"
 summary = "Measures the displayed width of unicode strings in a terminal"
 groups = ["default"]
-marker = "python_version > \"3.6\""
 dependencies = [
     "backports-functools-lru-cache>=1.2.1; python_version < \"3.2\"",
 ]
@@ -1673,3 +2847,46 @@ files = [
     {file = "wcwidth-0.2.13-py2.py3-none-any.whl", hash = "sha256:3da69048e4540d84af32131829ff948f1e022c1c6bdb8d6102117aac784f6859"},
     {file = "wcwidth-0.2.13.tar.gz", hash = "sha256:72ea0c06399eb286d978fdedb6923a9eb47e1c486ce63e9b4e64fc18303972b5"},
 ]
+
+[[package]]
+name = "webcolors"
+version = "24.8.0"
+requires_python = ">=3.8"
+summary = "A library for working with the color formats defined by HTML and CSS."
+groups = ["default"]
+files = [
+    {file = "webcolors-24.8.0-py3-none-any.whl", hash = "sha256:fc4c3b59358ada164552084a8ebee637c221e4059267d0f8325b3b560f6c7f0a"},
+    {file = "webcolors-24.8.0.tar.gz", hash = "sha256:08b07af286a01bcd30d583a7acadf629583d1f79bfef27dd2c2c5c263817277d"},
+]
+
+[[package]]
+name = "webencodings"
+version = "0.5.1"
+summary = "Character encoding aliases for legacy web content"
+groups = ["default"]
+files = [
+    {file = "webencodings-0.5.1-py2.py3-none-any.whl", hash = "sha256:a0af1213f3c2226497a97e2b3aa01a7e4bee4f403f95be16fc9acd2947514a78"},
+    {file = "webencodings-0.5.1.tar.gz", hash = "sha256:b36a1c245f2d304965eb4e0a82848379241dc04b865afcc4aab16748587e1923"},
+]
+
+[[package]]
+name = "websocket-client"
+version = "1.8.0"
+requires_python = ">=3.8"
+summary = "WebSocket client for Python with low level API options"
+groups = ["default"]
+files = [
+    {file = "websocket_client-1.8.0-py3-none-any.whl", hash = "sha256:17b44cc997f5c498e809b22cdf2d9c7a9e71c02c8cc2b6c56e7c2d1239bfa526"},
+    {file = "websocket_client-1.8.0.tar.gz", hash = "sha256:3239df9f44da632f96012472805d40a23281a991027ce11d2f45a6f24ac4c3da"},
+]
+
+[[package]]
+name = "widgetsnbextension"
+version = "4.0.13"
+requires_python = ">=3.7"
+summary = "Jupyter interactive widgets for Jupyter Notebook"
+groups = ["default"]
+files = [
+    {file = "widgetsnbextension-4.0.13-py3-none-any.whl", hash = "sha256:74b2692e8500525cc38c2b877236ba51d34541e6385eeed5aec15a70f88a6c71"},
+    {file = "widgetsnbextension-4.0.13.tar.gz", hash = "sha256:ffcb67bc9febd10234a362795f643927f4e0c05d9342c727b65d2384f8feacb6"},
+]
diff --git a/pyproject.toml b/pyproject.toml
index 2b29c14..3fe7eaa 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -28,9 +28,10 @@ dependencies = [
     "pygraphviz>=1.13",
     "mkdocs>=1.6.1",
     "mkdocs-material>=9.5.34",
-    "mkdocstrings-python>=1.11.1"
+    "mkdocstrings-python>=1.11.1",
+    "jupyter>=1.1.1",
 ]
-requires-python = ">=3.10"
+requires-python = ">=3.10,<=3.12"
 version = "0.0.0"
 readme = "README.md"