diff --git a/requirements/docs-requirements.txt b/requirements/docs-requirements.txt
index 83ac711..b1bc2f9 100644
--- a/requirements/docs-requirements.txt
+++ b/requirements/docs-requirements.txt
@@ -6,24 +6,24 @@
 #
 accessible-pygments==0.0.5
 alabaster==1.0.0
-anyio==4.10.0
+anyio==4.11.0
 apeye==1.4.1
 apeye-core==1.1.5
 argon2-cffi==25.1.0
 argon2-cffi-bindings==25.1.0
-arrow==1.3.0
-astroid==3.3.11
+arrow==1.4.0
+astroid==4.0.1
 asttokens==3.0.0
 async-lru==2.0.5
-attrs==25.3.0
+attrs==25.4.0
 autodocsumm==0.2.14
 babel==2.17.0
-beautifulsoup4==4.13.5
+beautifulsoup4==4.14.2
 bleach[css]==6.2.0
 cachecontrol[filecache]==0.14.3
-certifi==2025.8.3
+certifi==2025.10.5
 cffi==2.0.0
-charset-normalizer==3.4.3
+charset-normalizer==3.4.4
 click==8.3.0
 comm==0.2.3
 contourpy==1.3.3
@@ -38,21 +38,21 @@ docutils==0.21.2
 domdf-python-tools==3.10.0
 executing==2.2.1
 fastjsonschema==2.21.2
-filelock==3.19.1
+filelock==3.20.0
 flexcache==0.3
 flexparser==0.4
-fonttools==4.60.0
+fonttools==4.60.1
 fqdn==1.5.1
 greenlet==3.2.4
 h11==0.16.0
 html5lib==1.1
 httpcore==1.0.9
 httpx==0.28.1
-idna==3.10
+idna==3.11
 imagesize==1.4.1
 importlib-metadata==8.7.0
-ipykernel==6.30.1
-ipython==9.5.0
+ipykernel==7.0.1
+ipython==9.6.0
 ipython-pygments-lexers==1.1.1
 isoduration==20.11.0
 jedi==0.19.2
@@ -63,25 +63,25 @@ jsonschema[format-nongpl]==4.25.1
 jsonschema-specifications==2025.9.1
 jupyter-cache==1.0.1
 jupyter-client==8.6.3
-jupyter-core==5.8.1
+jupyter-core==5.9.1
 jupyter-events==0.12.0
 jupyter-lsp==2.3.0
 jupyter-server==2.17.0
 jupyter-server-terminals==0.5.3
-jupyterlab==4.4.7
+jupyterlab==4.4.9
 jupyterlab-pygments==0.3.0
 jupyterlab-server==2.27.3
 kiwisolver==1.4.9
-lark==1.2.2
+lark==1.3.0
 markdown-it-py==3.0.0
-markupsafe==3.0.2
-matplotlib==3.10.6
+markupsafe==3.0.3
+matplotlib==3.10.7
 matplotlib-inline==0.1.7
 mdit-py-plugins==0.5.0
 mdurl==0.1.2
 mistune==3.1.4
 more-itertools==10.8.0
-msgpack==1.1.1
+msgpack==1.1.2
 myst-nb==1.3.0
 myst-parser==4.0.1
 natsort==8.4.0
@@ -90,15 +90,15 @@ nbconvert==7.16.6
 nbformat==5.10.4
 nest-asyncio==1.6.0
 notebook-shim==0.2.4
-numpy==2.3.3
+numpy==2.3.4
 packaging==25.0
-pandas==2.3.2
+pandas==2.3.3
 pandocfilters==1.5.1
 parso==0.8.5
 pexpect==4.9.0
-pillow==11.3.0
+pillow==12.0.0
 pint==0.25
-platformdirs==4.4.0
+platformdirs==4.5.0
 pockets==0.9.1
 prometheus-client==0.23.1
 prompt-toolkit==3.0.52
@@ -108,13 +108,13 @@ pure-eval==0.2.3
 pycparser==2.23
 pydata-sphinx-theme==0.16.1
 pygments==2.19.2
-pyparsing==3.2.4
+pyparsing==3.2.5
 python-dateutil==2.9.0.post0
-python-json-logger==3.3.0
+python-json-logger==4.0.0
 pytz==2025.2
-pyyaml==6.0.2
+pyyaml==6.0.3
 pyzmq==27.1.0
-referencing==0.36.2
+referencing==0.37.0
 requests==2.32.5
 rfc3339-validator==0.1.4
 rfc3986-validator==0.1.1
@@ -122,7 +122,7 @@ rfc3987-syntax==1.1.0
 roman-numerals-py==3.1.0
 rpds-py==0.27.1
 ruamel-yaml==0.18.14
-ruamel-yaml-clib==0.2.12
+ruamel-yaml-clib==0.2.14
 scipy==1.16.2
 send2trash==1.8.3
 six==1.17.0
@@ -130,8 +130,8 @@ sniffio==1.3.1
 snowballstemmer==3.0.1
 soupsieve==2.8
 sphinx==8.2.3
-sphinx-autoapi==3.6.0
-sphinx-autodoc-typehints==3.2.0
+sphinx-autoapi==3.6.1
+sphinx-autodoc-typehints==3.5.2
 sphinx-codeautolink==0.17.5
 sphinx-gallery==0.19.0
 sphinx-jinja2-compat==0.4.1
@@ -145,7 +145,7 @@ sphinxcontrib-jsmath==1.0.1
 sphinxcontrib-napoleon==0.7
 sphinxcontrib-qthelp==2.0.0
 sphinxcontrib-serializinghtml==2.0.0
-sqlalchemy==2.0.43
+sqlalchemy==2.0.44
 stack-data==0.6.3
 tabulate==0.9.0
 terminado==0.18.1
@@ -153,22 +153,21 @@ tinycss2==1.4.0
 tornado==6.5.2
 tqdm==4.67.1
 traitlets==5.14.3
-types-python-dateutil==2.9.0.20250822
 typing-extensions==4.15.0
 tzdata==2025.2
 uri-template==1.3.0
 urllib3==2.5.0
-wcwidth==0.2.13
+wcwidth==0.2.14
 webcolors==24.11.1
 webencodings==0.5.1
-websocket-client==1.8.0
-xcoll==0.6.5
-xdeps==0.10.6
+websocket-client==1.9.0
+xcoll==0.6.7
+xdeps==0.10.7
 xfields==0.25.2
 xobjects==0.5.3
 xpart==0.23.1
-xsuite==0.38.2
-xtrack==0.90.2
+xsuite==0.40.2
+xtrack==0.93.2
 zipp==3.23.0
 
 # The following packages are considered to be unsafe in a requirements file:
diff --git a/requirements/examples-requirements-py3.10.txt b/requirements/examples-requirements-py3.10.txt
index c3fa753..aefc184 100644
--- a/requirements/examples-requirements-py3.10.txt
+++ b/requirements/examples-requirements-py3.10.txt
@@ -4,19 +4,19 @@
 #
 #    pip-compile --all-extras --cert=None --client-cert=None --index-url=None --no-annotate --output-file=examples-requirements-py3.10.txt --pip-args=None ../pyproject.toml examples.in
 #
-anyio==4.10.0
+anyio==4.11.0
 argon2-cffi==25.1.0
 argon2-cffi-bindings==25.1.0
-arrow==1.3.0
+arrow==1.4.0
 asttokens==3.0.0
 async-lru==2.0.5
-attrs==25.3.0
+attrs==25.4.0
 babel==2.17.0
-beautifulsoup4==4.13.5
+beautifulsoup4==4.14.2
 bleach[css]==6.2.0
-certifi==2025.8.3
+certifi==2025.10.5
 cffi==2.0.0
-charset-normalizer==3.4.3
+charset-normalizer==3.4.4
 comm==0.2.3
 contourpy==1.3.2
 cycler==0.12.1
@@ -29,13 +29,13 @@ executing==2.2.1
 fastjsonschema==2.21.2
 flexcache==0.3
 flexparser==0.4
-fonttools==4.60.0
+fonttools==4.60.1
 fqdn==1.5.1
 h11==0.16.0
 httpcore==1.0.9
 httpx==0.28.1
-idna==3.10
-ipykernel==6.30.1
+idna==3.11
+ipykernel==7.0.1
 ipython==8.37.0
 isoduration==20.11.0
 jedi==0.19.2
@@ -45,18 +45,18 @@ jsonpointer==3.0.0
 jsonschema[format-nongpl]==4.25.1
 jsonschema-specifications==2025.9.1
 jupyter-client==8.6.3
-jupyter-core==5.8.1
+jupyter-core==5.9.1
 jupyter-events==0.12.0
 jupyter-lsp==2.3.0
 jupyter-server==2.17.0
 jupyter-server-terminals==0.5.3
-jupyterlab==4.4.7
+jupyterlab==4.4.9
 jupyterlab-pygments==0.3.0
 jupyterlab-server==2.27.3
 kiwisolver==1.4.9
-lark==1.2.2
-markupsafe==3.0.2
-matplotlib==3.10.6
+lark==1.3.0
+markupsafe==3.0.3
+matplotlib==3.10.7
 matplotlib-inline==0.1.7
 mistune==3.1.4
 nbclient==0.10.2
@@ -67,13 +67,13 @@ notebook-shim==0.2.4
 numpy==2.2.6
 overrides==7.7.0
 packaging==25.0
-pandas==2.3.2
+pandas==2.3.3
 pandocfilters==1.5.1
 parso==0.8.5
 pexpect==4.9.0
-pillow==11.3.0
+pillow==12.0.0
 pint==0.24.4
-platformdirs==4.4.0
+platformdirs==4.5.0
 prometheus-client==0.23.1
 prompt-toolkit==3.0.52
 psutil==7.1.0
@@ -81,20 +81,20 @@ ptyprocess==0.7.0
 pure-eval==0.2.3
 pycparser==2.23
 pygments==2.19.2
-pyparsing==3.2.4
+pyparsing==3.2.5
 python-dateutil==2.9.0.post0
-python-json-logger==3.3.0
+python-json-logger==4.0.0
 pytz==2025.2
-pyyaml==6.0.2
+pyyaml==6.0.3
 pyzmq==27.1.0
-referencing==0.36.2
+referencing==0.37.0
 requests==2.32.5
 rfc3339-validator==0.1.4
 rfc3986-validator==0.1.1
 rfc3987-syntax==1.1.0
 rpds-py==0.27.1
 ruamel-yaml==0.18.14
-ruamel-yaml-clib==0.2.12
+ruamel-yaml-clib==0.2.14
 scipy==1.15.3
 send2trash==1.8.3
 six==1.17.0
@@ -104,26 +104,25 @@ stack-data==0.6.3
 tabulate==0.9.0
 terminado==0.18.1
 tinycss2==1.4.0
-tomli==2.2.1
+tomli==2.3.0
 tornado==6.5.2
 tqdm==4.67.1
 traitlets==5.14.3
-types-python-dateutil==2.9.0.20250822
 typing-extensions==4.15.0
 tzdata==2025.2
 uri-template==1.3.0
 urllib3==2.5.0
-wcwidth==0.2.13
+wcwidth==0.2.14
 webcolors==24.11.1
 webencodings==0.5.1
-websocket-client==1.8.0
-xcoll==0.6.5
-xdeps==0.10.6
+websocket-client==1.9.0
+xcoll==0.6.7
+xdeps==0.10.7
 xfields==0.25.2
 xobjects==0.5.3
 xpart==0.23.1
-xsuite==0.38.2
-xtrack==0.90.2
+xsuite==0.40.2
+xtrack==0.93.2
 
 # The following packages are considered to be unsafe in a requirements file:
 # setuptools
diff --git a/requirements/examples-requirements-py3.11.txt b/requirements/examples-requirements-py3.11.txt
index ad4ea41..31ee124 100644
--- a/requirements/examples-requirements-py3.11.txt
+++ b/requirements/examples-requirements-py3.11.txt
@@ -4,19 +4,19 @@
 #
 #    pip-compile --all-extras --cert=None --client-cert=None --index-url=None --no-annotate --output-file=examples-requirements-py3.11.txt --pip-args=None ../pyproject.toml examples.in
 #
-anyio==4.10.0
+anyio==4.11.0
 argon2-cffi==25.1.0
 argon2-cffi-bindings==25.1.0
-arrow==1.3.0
+arrow==1.4.0
 asttokens==3.0.0
 async-lru==2.0.5
-attrs==25.3.0
+attrs==25.4.0
 babel==2.17.0
-beautifulsoup4==4.13.5
+beautifulsoup4==4.14.2
 bleach[css]==6.2.0
-certifi==2025.8.3
+certifi==2025.10.5
 cffi==2.0.0
-charset-normalizer==3.4.3
+charset-normalizer==3.4.4
 comm==0.2.3
 contourpy==1.3.3
 cycler==0.12.1
@@ -28,14 +28,14 @@ executing==2.2.1
 fastjsonschema==2.21.2
 flexcache==0.3
 flexparser==0.4
-fonttools==4.60.0
+fonttools==4.60.1
 fqdn==1.5.1
 h11==0.16.0
 httpcore==1.0.9
 httpx==0.28.1
-idna==3.10
-ipykernel==6.30.1
-ipython==9.5.0
+idna==3.11
+ipykernel==7.0.1
+ipython==9.6.0
 ipython-pygments-lexers==1.1.1
 isoduration==20.11.0
 jedi==0.19.2
@@ -45,18 +45,18 @@ jsonpointer==3.0.0
 jsonschema[format-nongpl]==4.25.1
 jsonschema-specifications==2025.9.1
 jupyter-client==8.6.3
-jupyter-core==5.8.1
+jupyter-core==5.9.1
 jupyter-events==0.12.0
 jupyter-lsp==2.3.0
 jupyter-server==2.17.0
 jupyter-server-terminals==0.5.3
-jupyterlab==4.4.7
+jupyterlab==4.4.9
 jupyterlab-pygments==0.3.0
 jupyterlab-server==2.27.3
 kiwisolver==1.4.9
-lark==1.2.2
-markupsafe==3.0.2
-matplotlib==3.10.6
+lark==1.3.0
+markupsafe==3.0.3
+matplotlib==3.10.7
 matplotlib-inline==0.1.7
 mistune==3.1.4
 nbclient==0.10.2
@@ -64,16 +64,16 @@ nbconvert==7.16.6
 nbformat==5.10.4
 nest-asyncio==1.6.0
 notebook-shim==0.2.4
-numpy==2.3.3
+numpy==2.3.4
 overrides==7.7.0
 packaging==25.0
-pandas==2.3.2
+pandas==2.3.3
 pandocfilters==1.5.1
 parso==0.8.5
 pexpect==4.9.0
-pillow==11.3.0
+pillow==12.0.0
 pint==0.25
-platformdirs==4.4.0
+platformdirs==4.5.0
 prometheus-client==0.23.1
 prompt-toolkit==3.0.52
 psutil==7.1.0
@@ -81,20 +81,20 @@ ptyprocess==0.7.0
 pure-eval==0.2.3
 pycparser==2.23
 pygments==2.19.2
-pyparsing==3.2.4
+pyparsing==3.2.5
 python-dateutil==2.9.0.post0
-python-json-logger==3.3.0
+python-json-logger==4.0.0
 pytz==2025.2
-pyyaml==6.0.2
+pyyaml==6.0.3
 pyzmq==27.1.0
-referencing==0.36.2
+referencing==0.37.0
 requests==2.32.5
 rfc3339-validator==0.1.4
 rfc3986-validator==0.1.1
 rfc3987-syntax==1.1.0
 rpds-py==0.27.1
 ruamel-yaml==0.18.14
-ruamel-yaml-clib==0.2.12
+ruamel-yaml-clib==0.2.14
 scipy==1.16.2
 send2trash==1.8.3
 six==1.17.0
@@ -107,22 +107,21 @@ tinycss2==1.4.0
 tornado==6.5.2
 tqdm==4.67.1
 traitlets==5.14.3
-types-python-dateutil==2.9.0.20250822
 typing-extensions==4.15.0
 tzdata==2025.2
 uri-template==1.3.0
 urllib3==2.5.0
-wcwidth==0.2.13
+wcwidth==0.2.14
 webcolors==24.11.1
 webencodings==0.5.1
-websocket-client==1.8.0
-xcoll==0.6.5
-xdeps==0.10.6
+websocket-client==1.9.0
+xcoll==0.6.7
+xdeps==0.10.7
 xfields==0.25.2
 xobjects==0.5.3
 xpart==0.23.1
-xsuite==0.38.2
-xtrack==0.90.2
+xsuite==0.40.2
+xtrack==0.93.2
 
 # The following packages are considered to be unsafe in a requirements file:
 # setuptools
diff --git a/requirements/examples-requirements-py3.12.txt b/requirements/examples-requirements-py3.12.txt
index 79f608d..8e2a0a9 100644
--- a/requirements/examples-requirements-py3.12.txt
+++ b/requirements/examples-requirements-py3.12.txt
@@ -4,19 +4,19 @@
 #
 #    pip-compile --all-extras --cert=None --client-cert=None --index-url=None --no-annotate --output-file=examples-requirements-py3.12.txt --pip-args=None ../pyproject.toml examples.in
 #
-anyio==4.10.0
+anyio==4.11.0
 argon2-cffi==25.1.0
 argon2-cffi-bindings==25.1.0
-arrow==1.3.0
+arrow==1.4.0
 asttokens==3.0.0
 async-lru==2.0.5
-attrs==25.3.0
+attrs==25.4.0
 babel==2.17.0
-beautifulsoup4==4.13.5
+beautifulsoup4==4.14.2
 bleach[css]==6.2.0
-certifi==2025.8.3
+certifi==2025.10.5
 cffi==2.0.0
-charset-normalizer==3.4.3
+charset-normalizer==3.4.4
 comm==0.2.3
 contourpy==1.3.3
 cycler==0.12.1
@@ -28,14 +28,14 @@ executing==2.2.1
 fastjsonschema==2.21.2
 flexcache==0.3
 flexparser==0.4
-fonttools==4.60.0
+fonttools==4.60.1
 fqdn==1.5.1
 h11==0.16.0
 httpcore==1.0.9
 httpx==0.28.1
-idna==3.10
-ipykernel==6.30.1
-ipython==9.5.0
+idna==3.11
+ipykernel==7.0.1
+ipython==9.6.0
 ipython-pygments-lexers==1.1.1
 isoduration==20.11.0
 jedi==0.19.2
@@ -45,18 +45,18 @@ jsonpointer==3.0.0
 jsonschema[format-nongpl]==4.25.1
 jsonschema-specifications==2025.9.1
 jupyter-client==8.6.3
-jupyter-core==5.8.1
+jupyter-core==5.9.1
 jupyter-events==0.12.0
 jupyter-lsp==2.3.0
 jupyter-server==2.17.0
 jupyter-server-terminals==0.5.3
-jupyterlab==4.4.7
+jupyterlab==4.4.9
 jupyterlab-pygments==0.3.0
 jupyterlab-server==2.27.3
 kiwisolver==1.4.9
-lark==1.2.2
-markupsafe==3.0.2
-matplotlib==3.10.6
+lark==1.3.0
+markupsafe==3.0.3
+matplotlib==3.10.7
 matplotlib-inline==0.1.7
 mistune==3.1.4
 nbclient==0.10.2
@@ -64,15 +64,15 @@ nbconvert==7.16.6
 nbformat==5.10.4
 nest-asyncio==1.6.0
 notebook-shim==0.2.4
-numpy==2.3.3
+numpy==2.3.4
 packaging==25.0
-pandas==2.3.2
+pandas==2.3.3
 pandocfilters==1.5.1
 parso==0.8.5
 pexpect==4.9.0
-pillow==11.3.0
+pillow==12.0.0
 pint==0.25
-platformdirs==4.4.0
+platformdirs==4.5.0
 prometheus-client==0.23.1
 prompt-toolkit==3.0.52
 psutil==7.1.0
@@ -80,20 +80,20 @@ ptyprocess==0.7.0
 pure-eval==0.2.3
 pycparser==2.23
 pygments==2.19.2
-pyparsing==3.2.4
+pyparsing==3.2.5
 python-dateutil==2.9.0.post0
-python-json-logger==3.3.0
+python-json-logger==4.0.0
 pytz==2025.2
-pyyaml==6.0.2
+pyyaml==6.0.3
 pyzmq==27.1.0
-referencing==0.36.2
+referencing==0.37.0
 requests==2.32.5
 rfc3339-validator==0.1.4
 rfc3986-validator==0.1.1
 rfc3987-syntax==1.1.0
 rpds-py==0.27.1
 ruamel-yaml==0.18.14
-ruamel-yaml-clib==0.2.12
+ruamel-yaml-clib==0.2.14
 scipy==1.16.2
 send2trash==1.8.3
 six==1.17.0
@@ -106,22 +106,21 @@ tinycss2==1.4.0
 tornado==6.5.2
 tqdm==4.67.1
 traitlets==5.14.3
-types-python-dateutil==2.9.0.20250822
 typing-extensions==4.15.0
 tzdata==2025.2
 uri-template==1.3.0
 urllib3==2.5.0
-wcwidth==0.2.13
+wcwidth==0.2.14
 webcolors==24.11.1
 webencodings==0.5.1
-websocket-client==1.8.0
-xcoll==0.6.5
-xdeps==0.10.6
+websocket-client==1.9.0
+xcoll==0.6.7
+xdeps==0.10.7
 xfields==0.25.2
 xobjects==0.5.3
 xpart==0.23.1
-xsuite==0.38.2
-xtrack==0.90.2
+xsuite==0.40.2
+xtrack==0.93.2
 
 # The following packages are considered to be unsafe in a requirements file:
 # setuptools
diff --git a/requirements/examples-requirements-py3.13.txt b/requirements/examples-requirements-py3.13.txt
index 58fcc45..db908ed 100644
--- a/requirements/examples-requirements-py3.13.txt
+++ b/requirements/examples-requirements-py3.13.txt
@@ -4,19 +4,19 @@
 #
 #    pip-compile --all-extras --cert=None --client-cert=None --index-url=None --no-annotate --output-file=examples-requirements-py3.13.txt --pip-args=None ../pyproject.toml examples.in
 #
-anyio==4.10.0
+anyio==4.11.0
 argon2-cffi==25.1.0
 argon2-cffi-bindings==25.1.0
-arrow==1.3.0
+arrow==1.4.0
 asttokens==3.0.0
 async-lru==2.0.5
-attrs==25.3.0
+attrs==25.4.0
 babel==2.17.0
-beautifulsoup4==4.13.5
+beautifulsoup4==4.14.2
 bleach[css]==6.2.0
-certifi==2025.8.3
+certifi==2025.10.5
 cffi==2.0.0
-charset-normalizer==3.4.3
+charset-normalizer==3.4.4
 comm==0.2.3
 contourpy==1.3.3
 cycler==0.12.1
@@ -28,14 +28,14 @@ executing==2.2.1
 fastjsonschema==2.21.2
 flexcache==0.3
 flexparser==0.4
-fonttools==4.60.0
+fonttools==4.60.1
 fqdn==1.5.1
 h11==0.16.0
 httpcore==1.0.9
 httpx==0.28.1
-idna==3.10
-ipykernel==6.30.1
-ipython==9.5.0
+idna==3.11
+ipykernel==7.0.1
+ipython==9.6.0
 ipython-pygments-lexers==1.1.1
 isoduration==20.11.0
 jedi==0.19.2
@@ -45,18 +45,18 @@ jsonpointer==3.0.0
 jsonschema[format-nongpl]==4.25.1
 jsonschema-specifications==2025.9.1
 jupyter-client==8.6.3
-jupyter-core==5.8.1
+jupyter-core==5.9.1
 jupyter-events==0.12.0
 jupyter-lsp==2.3.0
 jupyter-server==2.17.0
 jupyter-server-terminals==0.5.3
-jupyterlab==4.4.7
+jupyterlab==4.4.9
 jupyterlab-pygments==0.3.0
 jupyterlab-server==2.27.3
 kiwisolver==1.4.9
-lark==1.2.2
-markupsafe==3.0.2
-matplotlib==3.10.6
+lark==1.3.0
+markupsafe==3.0.3
+matplotlib==3.10.7
 matplotlib-inline==0.1.7
 mistune==3.1.4
 nbclient==0.10.2
@@ -64,15 +64,15 @@ nbconvert==7.16.6
 nbformat==5.10.4
 nest-asyncio==1.6.0
 notebook-shim==0.2.4
-numpy==2.3.3
+numpy==2.3.4
 packaging==25.0
-pandas==2.3.2
+pandas==2.3.3
 pandocfilters==1.5.1
 parso==0.8.5
 pexpect==4.9.0
-pillow==11.3.0
+pillow==12.0.0
 pint==0.25
-platformdirs==4.4.0
+platformdirs==4.5.0
 prometheus-client==0.23.1
 prompt-toolkit==3.0.52
 psutil==7.1.0
@@ -80,20 +80,20 @@ ptyprocess==0.7.0
 pure-eval==0.2.3
 pycparser==2.23
 pygments==2.19.2
-pyparsing==3.2.4
+pyparsing==3.2.5
 python-dateutil==2.9.0.post0
-python-json-logger==3.3.0
+python-json-logger==4.0.0
 pytz==2025.2
-pyyaml==6.0.2
+pyyaml==6.0.3
 pyzmq==27.1.0
-referencing==0.36.2
+referencing==0.37.0
 requests==2.32.5
 rfc3339-validator==0.1.4
 rfc3986-validator==0.1.1
 rfc3987-syntax==1.1.0
 rpds-py==0.27.1
 ruamel-yaml==0.18.14
-ruamel-yaml-clib==0.2.12
+ruamel-yaml-clib==0.2.14
 scipy==1.16.2
 send2trash==1.8.3
 six==1.17.0
@@ -106,22 +106,21 @@ tinycss2==1.4.0
 tornado==6.5.2
 tqdm==4.67.1
 traitlets==5.14.3
-types-python-dateutil==2.9.0.20250822
 typing-extensions==4.15.0
 tzdata==2025.2
 uri-template==1.3.0
 urllib3==2.5.0
-wcwidth==0.2.13
+wcwidth==0.2.14
 webcolors==24.11.1
 webencodings==0.5.1
-websocket-client==1.8.0
-xcoll==0.6.5
-xdeps==0.10.6
+websocket-client==1.9.0
+xcoll==0.6.7
+xdeps==0.10.7
 xfields==0.25.2
 xobjects==0.5.3
 xpart==0.23.1
-xsuite==0.38.2
-xtrack==0.90.2
+xsuite==0.40.2
+xtrack==0.93.2
 
 # The following packages are considered to be unsafe in a requirements file:
 # setuptools
diff --git a/requirements/tests-requirements-py3.10.txt b/requirements/tests-requirements-py3.10.txt
index abff07e..8595741 100644
--- a/requirements/tests-requirements-py3.10.txt
+++ b/requirements/tests-requirements-py3.10.txt
@@ -4,22 +4,22 @@
 #
 #    pip-compile --cert=None --client-cert=None --index-url=None --no-annotate --output-file=tests-requirements-py3.10.txt --pip-args=None examples-requirements-py3.10.txt tests.in
 #
-anyio==4.10.0
+anyio==4.11.0
 argon2-cffi==25.1.0
 argon2-cffi-bindings==25.1.0
-arrow==1.3.0
+arrow==1.4.0
 asttokens==3.0.0
 async-lru==2.0.5
-attrs==25.3.0
+attrs==25.4.0
 babel==2.17.0
-beautifulsoup4==4.13.5
+beautifulsoup4==4.14.2
 bleach[css]==6.2.0
-certifi==2025.8.3
+certifi==2025.10.5
 cffi==2.0.0
-charset-normalizer==3.4.3
+charset-normalizer==3.4.4
 comm==0.2.3
 contourpy==1.3.2
-coverage[toml]==7.10.6
+coverage[toml]==7.11.0
 cycler==0.12.1
 cython==3.1.4
 debugpy==1.8.17
@@ -30,14 +30,14 @@ executing==2.2.1
 fastjsonschema==2.21.2
 flexcache==0.3
 flexparser==0.4
-fonttools==4.60.0
+fonttools==4.60.1
 fqdn==1.5.1
 h11==0.16.0
 httpcore==1.0.9
 httpx==0.28.1
-idna==3.10
-iniconfig==2.1.0
-ipykernel==6.30.1
+idna==3.11
+iniconfig==2.3.0
+ipykernel==7.0.1
 ipython==8.37.0
 isoduration==20.11.0
 jedi==0.19.2
@@ -47,18 +47,18 @@ jsonpointer==3.0.0
 jsonschema[format-nongpl]==4.25.1
 jsonschema-specifications==2025.9.1
 jupyter-client==8.6.3
-jupyter-core==5.8.1
+jupyter-core==5.9.1
 jupyter-events==0.12.0
 jupyter-lsp==2.3.0
 jupyter-server==2.17.0
 jupyter-server-terminals==0.5.3
-jupyterlab==4.4.7
+jupyterlab==4.4.9
 jupyterlab-pygments==0.3.0
 jupyterlab-server==2.27.3
 kiwisolver==1.4.9
-lark==1.2.2
-markupsafe==3.0.2
-matplotlib==3.10.6
+lark==1.3.0
+markupsafe==3.0.3
+matplotlib==3.10.7
 matplotlib-inline==0.1.7
 mistune==3.1.4
 nbclient==0.10.2
@@ -69,13 +69,13 @@ notebook-shim==0.2.4
 numpy==2.2.6
 overrides==7.7.0
 packaging==25.0
-pandas==2.3.2
+pandas==2.3.3
 pandocfilters==1.5.1
 parso==0.8.5
 pexpect==4.9.0
-pillow==11.3.0
+pillow==12.0.0
 pint==0.24.4
-platformdirs==4.4.0
+platformdirs==4.5.0
 pluggy==1.6.0
 prometheus-client==0.23.1
 prompt-toolkit==3.0.52
@@ -85,23 +85,23 @@ pure-eval==0.2.3
 py-cpuinfo==9.0.0
 pycparser==2.23
 pygments==2.19.2
-pyparsing==3.2.4
+pyparsing==3.2.5
 pytest==8.4.2
 pytest-benchmark==5.1.0
 pytest-cov==7.0.0
 python-dateutil==2.9.0.post0
-python-json-logger==3.3.0
+python-json-logger==4.0.0
 pytz==2025.2
-pyyaml==6.0.2
+pyyaml==6.0.3
 pyzmq==27.1.0
-referencing==0.36.2
+referencing==0.37.0
 requests==2.32.5
 rfc3339-validator==0.1.4
 rfc3986-validator==0.1.1
 rfc3987-syntax==1.1.0
 rpds-py==0.27.1
 ruamel-yaml==0.18.14
-ruamel-yaml-clib==0.2.12
+ruamel-yaml-clib==0.2.14
 scipy==1.15.3
 send2trash==1.8.3
 six==1.17.0
@@ -112,26 +112,25 @@ tabulate==0.9.0
 terminado==0.18.1
 testbook==0.4.2
 tinycss2==1.4.0
-tomli==2.2.1
+tomli==2.3.0
 tornado==6.5.2
 tqdm==4.67.1
 traitlets==5.14.3
-types-python-dateutil==2.9.0.20250822
 typing-extensions==4.15.0
 tzdata==2025.2
 uri-template==1.3.0
 urllib3==2.5.0
-wcwidth==0.2.13
+wcwidth==0.2.14
 webcolors==24.11.1
 webencodings==0.5.1
-websocket-client==1.8.0
-xcoll==0.6.5
-xdeps==0.10.6
+websocket-client==1.9.0
+xcoll==0.6.7
+xdeps==0.10.7
 xfields==0.25.2
 xobjects==0.5.3
 xpart==0.23.1
-xsuite==0.38.2
-xtrack==0.90.2
+xsuite==0.40.2
+xtrack==0.93.2
 
 # The following packages are considered to be unsafe in a requirements file:
 # setuptools
diff --git a/requirements/tests-requirements-py3.11.txt b/requirements/tests-requirements-py3.11.txt
index 3dde944..706cc6f 100644
--- a/requirements/tests-requirements-py3.11.txt
+++ b/requirements/tests-requirements-py3.11.txt
@@ -4,22 +4,22 @@
 #
 #    pip-compile --cert=None --client-cert=None --index-url=None --no-annotate --output-file=tests-requirements-py3.11.txt --pip-args=None examples-requirements-py3.11.txt tests.in
 #
-anyio==4.10.0
+anyio==4.11.0
 argon2-cffi==25.1.0
 argon2-cffi-bindings==25.1.0
-arrow==1.3.0
+arrow==1.4.0
 asttokens==3.0.0
 async-lru==2.0.5
-attrs==25.3.0
+attrs==25.4.0
 babel==2.17.0
-beautifulsoup4==4.13.5
+beautifulsoup4==4.14.2
 bleach[css]==6.2.0
-certifi==2025.8.3
+certifi==2025.10.5
 cffi==2.0.0
-charset-normalizer==3.4.3
+charset-normalizer==3.4.4
 comm==0.2.3
 contourpy==1.3.3
-coverage[toml]==7.10.6
+coverage[toml]==7.11.0
 cycler==0.12.1
 cython==3.1.4
 debugpy==1.8.17
@@ -29,15 +29,15 @@ executing==2.2.1
 fastjsonschema==2.21.2
 flexcache==0.3
 flexparser==0.4
-fonttools==4.60.0
+fonttools==4.60.1
 fqdn==1.5.1
 h11==0.16.0
 httpcore==1.0.9
 httpx==0.28.1
-idna==3.10
-iniconfig==2.1.0
-ipykernel==6.30.1
-ipython==9.5.0
+idna==3.11
+iniconfig==2.3.0
+ipykernel==7.0.1
+ipython==9.6.0
 ipython-pygments-lexers==1.1.1
 isoduration==20.11.0
 jedi==0.19.2
@@ -47,18 +47,18 @@ jsonpointer==3.0.0
 jsonschema[format-nongpl]==4.25.1
 jsonschema-specifications==2025.9.1
 jupyter-client==8.6.3
-jupyter-core==5.8.1
+jupyter-core==5.9.1
 jupyter-events==0.12.0
 jupyter-lsp==2.3.0
 jupyter-server==2.17.0
 jupyter-server-terminals==0.5.3
-jupyterlab==4.4.7
+jupyterlab==4.4.9
 jupyterlab-pygments==0.3.0
 jupyterlab-server==2.27.3
 kiwisolver==1.4.9
-lark==1.2.2
-markupsafe==3.0.2
-matplotlib==3.10.6
+lark==1.3.0
+markupsafe==3.0.3
+matplotlib==3.10.7
 matplotlib-inline==0.1.7
 mistune==3.1.4
 nbclient==0.10.2
@@ -66,16 +66,16 @@ nbconvert==7.16.6
 nbformat==5.10.4
 nest-asyncio==1.6.0
 notebook-shim==0.2.4
-numpy==2.3.3
+numpy==2.3.4
 overrides==7.7.0
 packaging==25.0
-pandas==2.3.2
+pandas==2.3.3
 pandocfilters==1.5.1
 parso==0.8.5
 pexpect==4.9.0
-pillow==11.3.0
+pillow==12.0.0
 pint==0.25
-platformdirs==4.4.0
+platformdirs==4.5.0
 pluggy==1.6.0
 prometheus-client==0.23.1
 prompt-toolkit==3.0.52
@@ -85,23 +85,23 @@ pure-eval==0.2.3
 py-cpuinfo==9.0.0
 pycparser==2.23
 pygments==2.19.2
-pyparsing==3.2.4
+pyparsing==3.2.5
 pytest==8.4.2
 pytest-benchmark==5.1.0
 pytest-cov==7.0.0
 python-dateutil==2.9.0.post0
-python-json-logger==3.3.0
+python-json-logger==4.0.0
 pytz==2025.2
-pyyaml==6.0.2
+pyyaml==6.0.3
 pyzmq==27.1.0
-referencing==0.36.2
+referencing==0.37.0
 requests==2.32.5
 rfc3339-validator==0.1.4
 rfc3986-validator==0.1.1
 rfc3987-syntax==1.1.0
 rpds-py==0.27.1
 ruamel-yaml==0.18.14
-ruamel-yaml-clib==0.2.12
+ruamel-yaml-clib==0.2.14
 scipy==1.16.2
 send2trash==1.8.3
 six==1.17.0
@@ -115,22 +115,21 @@ tinycss2==1.4.0
 tornado==6.5.2
 tqdm==4.67.1
 traitlets==5.14.3
-types-python-dateutil==2.9.0.20250822
 typing-extensions==4.15.0
 tzdata==2025.2
 uri-template==1.3.0
 urllib3==2.5.0
-wcwidth==0.2.13
+wcwidth==0.2.14
 webcolors==24.11.1
 webencodings==0.5.1
-websocket-client==1.8.0
-xcoll==0.6.5
-xdeps==0.10.6
+websocket-client==1.9.0
+xcoll==0.6.7
+xdeps==0.10.7
 xfields==0.25.2
 xobjects==0.5.3
 xpart==0.23.1
-xsuite==0.38.2
-xtrack==0.90.2
+xsuite==0.40.2
+xtrack==0.93.2
 
 # The following packages are considered to be unsafe in a requirements file:
 # setuptools
diff --git a/requirements/tests-requirements-py3.12.txt b/requirements/tests-requirements-py3.12.txt
index b44a1bc..6e1adcd 100644
--- a/requirements/tests-requirements-py3.12.txt
+++ b/requirements/tests-requirements-py3.12.txt
@@ -4,22 +4,22 @@
 #
 #    pip-compile --cert=None --client-cert=None --index-url=None --no-annotate --output-file=tests-requirements-py3.12.txt --pip-args=None examples-requirements-py3.12.txt tests.in
 #
-anyio==4.10.0
+anyio==4.11.0
 argon2-cffi==25.1.0
 argon2-cffi-bindings==25.1.0
-arrow==1.3.0
+arrow==1.4.0
 asttokens==3.0.0
 async-lru==2.0.5
-attrs==25.3.0
+attrs==25.4.0
 babel==2.17.0
-beautifulsoup4==4.13.5
+beautifulsoup4==4.14.2
 bleach[css]==6.2.0
-certifi==2025.8.3
+certifi==2025.10.5
 cffi==2.0.0
-charset-normalizer==3.4.3
+charset-normalizer==3.4.4
 comm==0.2.3
 contourpy==1.3.3
-coverage[toml]==7.10.6
+coverage[toml]==7.11.0
 cycler==0.12.1
 cython==3.1.4
 debugpy==1.8.17
@@ -29,15 +29,15 @@ executing==2.2.1
 fastjsonschema==2.21.2
 flexcache==0.3
 flexparser==0.4
-fonttools==4.60.0
+fonttools==4.60.1
 fqdn==1.5.1
 h11==0.16.0
 httpcore==1.0.9
 httpx==0.28.1
-idna==3.10
-iniconfig==2.1.0
-ipykernel==6.30.1
-ipython==9.5.0
+idna==3.11
+iniconfig==2.3.0
+ipykernel==7.0.1
+ipython==9.6.0
 ipython-pygments-lexers==1.1.1
 isoduration==20.11.0
 jedi==0.19.2
@@ -47,18 +47,18 @@ jsonpointer==3.0.0
 jsonschema[format-nongpl]==4.25.1
 jsonschema-specifications==2025.9.1
 jupyter-client==8.6.3
-jupyter-core==5.8.1
+jupyter-core==5.9.1
 jupyter-events==0.12.0
 jupyter-lsp==2.3.0
 jupyter-server==2.17.0
 jupyter-server-terminals==0.5.3
-jupyterlab==4.4.7
+jupyterlab==4.4.9
 jupyterlab-pygments==0.3.0
 jupyterlab-server==2.27.3
 kiwisolver==1.4.9
-lark==1.2.2
-markupsafe==3.0.2
-matplotlib==3.10.6
+lark==1.3.0
+markupsafe==3.0.3
+matplotlib==3.10.7
 matplotlib-inline==0.1.7
 mistune==3.1.4
 nbclient==0.10.2
@@ -66,15 +66,15 @@ nbconvert==7.16.6
 nbformat==5.10.4
 nest-asyncio==1.6.0
 notebook-shim==0.2.4
-numpy==2.3.3
+numpy==2.3.4
 packaging==25.0
-pandas==2.3.2
+pandas==2.3.3
 pandocfilters==1.5.1
 parso==0.8.5
 pexpect==4.9.0
-pillow==11.3.0
+pillow==12.0.0
 pint==0.25
-platformdirs==4.4.0
+platformdirs==4.5.0
 pluggy==1.6.0
 prometheus-client==0.23.1
 prompt-toolkit==3.0.52
@@ -84,23 +84,23 @@ pure-eval==0.2.3
 py-cpuinfo==9.0.0
 pycparser==2.23
 pygments==2.19.2
-pyparsing==3.2.4
+pyparsing==3.2.5
 pytest==8.4.2
 pytest-benchmark==5.1.0
 pytest-cov==7.0.0
 python-dateutil==2.9.0.post0
-python-json-logger==3.3.0
+python-json-logger==4.0.0
 pytz==2025.2
-pyyaml==6.0.2
+pyyaml==6.0.3
 pyzmq==27.1.0
-referencing==0.36.2
+referencing==0.37.0
 requests==2.32.5
 rfc3339-validator==0.1.4
 rfc3986-validator==0.1.1
 rfc3987-syntax==1.1.0
 rpds-py==0.27.1
 ruamel-yaml==0.18.14
-ruamel-yaml-clib==0.2.12
+ruamel-yaml-clib==0.2.14
 scipy==1.16.2
 send2trash==1.8.3
 six==1.17.0
@@ -114,22 +114,21 @@ tinycss2==1.4.0
 tornado==6.5.2
 tqdm==4.67.1
 traitlets==5.14.3
-types-python-dateutil==2.9.0.20250822
 typing-extensions==4.15.0
 tzdata==2025.2
 uri-template==1.3.0
 urllib3==2.5.0
-wcwidth==0.2.13
+wcwidth==0.2.14
 webcolors==24.11.1
 webencodings==0.5.1
-websocket-client==1.8.0
-xcoll==0.6.5
-xdeps==0.10.6
+websocket-client==1.9.0
+xcoll==0.6.7
+xdeps==0.10.7
 xfields==0.25.2
 xobjects==0.5.3
 xpart==0.23.1
-xsuite==0.38.2
-xtrack==0.90.2
+xsuite==0.40.2
+xtrack==0.93.2
 
 # The following packages are considered to be unsafe in a requirements file:
 # setuptools
diff --git a/requirements/tests-requirements-py3.13.txt b/requirements/tests-requirements-py3.13.txt
index d03b14c..a42c593 100644
--- a/requirements/tests-requirements-py3.13.txt
+++ b/requirements/tests-requirements-py3.13.txt
@@ -4,22 +4,22 @@
 #
 #    pip-compile --cert=None --client-cert=None --index-url=None --no-annotate --output-file=tests-requirements-py3.13.txt --pip-args=None examples-requirements-py3.13.txt tests.in
 #
-anyio==4.10.0
+anyio==4.11.0
 argon2-cffi==25.1.0
 argon2-cffi-bindings==25.1.0
-arrow==1.3.0
+arrow==1.4.0
 asttokens==3.0.0
 async-lru==2.0.5
-attrs==25.3.0
+attrs==25.4.0
 babel==2.17.0
-beautifulsoup4==4.13.5
+beautifulsoup4==4.14.2
 bleach[css]==6.2.0
-certifi==2025.8.3
+certifi==2025.10.5
 cffi==2.0.0
-charset-normalizer==3.4.3
+charset-normalizer==3.4.4
 comm==0.2.3
 contourpy==1.3.3
-coverage[toml]==7.10.6
+coverage[toml]==7.11.0
 cycler==0.12.1
 cython==3.1.4
 debugpy==1.8.17
@@ -29,15 +29,15 @@ executing==2.2.1
 fastjsonschema==2.21.2
 flexcache==0.3
 flexparser==0.4
-fonttools==4.60.0
+fonttools==4.60.1
 fqdn==1.5.1
 h11==0.16.0
 httpcore==1.0.9
 httpx==0.28.1
-idna==3.10
-iniconfig==2.1.0
-ipykernel==6.30.1
-ipython==9.5.0
+idna==3.11
+iniconfig==2.3.0
+ipykernel==7.0.1
+ipython==9.6.0
 ipython-pygments-lexers==1.1.1
 isoduration==20.11.0
 jedi==0.19.2
@@ -47,18 +47,18 @@ jsonpointer==3.0.0
 jsonschema[format-nongpl]==4.25.1
 jsonschema-specifications==2025.9.1
 jupyter-client==8.6.3
-jupyter-core==5.8.1
+jupyter-core==5.9.1
 jupyter-events==0.12.0
 jupyter-lsp==2.3.0
 jupyter-server==2.17.0
 jupyter-server-terminals==0.5.3
-jupyterlab==4.4.7
+jupyterlab==4.4.9
 jupyterlab-pygments==0.3.0
 jupyterlab-server==2.27.3
 kiwisolver==1.4.9
-lark==1.2.2
-markupsafe==3.0.2
-matplotlib==3.10.6
+lark==1.3.0
+markupsafe==3.0.3
+matplotlib==3.10.7
 matplotlib-inline==0.1.7
 mistune==3.1.4
 nbclient==0.10.2
@@ -66,15 +66,15 @@ nbconvert==7.16.6
 nbformat==5.10.4
 nest-asyncio==1.6.0
 notebook-shim==0.2.4
-numpy==2.3.3
+numpy==2.3.4
 packaging==25.0
-pandas==2.3.2
+pandas==2.3.3
 pandocfilters==1.5.1
 parso==0.8.5
 pexpect==4.9.0
-pillow==11.3.0
+pillow==12.0.0
 pint==0.25
-platformdirs==4.4.0
+platformdirs==4.5.0
 pluggy==1.6.0
 prometheus-client==0.23.1
 prompt-toolkit==3.0.52
@@ -84,23 +84,23 @@ pure-eval==0.2.3
 py-cpuinfo==9.0.0
 pycparser==2.23
 pygments==2.19.2
-pyparsing==3.2.4
+pyparsing==3.2.5
 pytest==8.4.2
 pytest-benchmark==5.1.0
 pytest-cov==7.0.0
 python-dateutil==2.9.0.post0
-python-json-logger==3.3.0
+python-json-logger==4.0.0
 pytz==2025.2
-pyyaml==6.0.2
+pyyaml==6.0.3
 pyzmq==27.1.0
-referencing==0.36.2
+referencing==0.37.0
 requests==2.32.5
 rfc3339-validator==0.1.4
 rfc3986-validator==0.1.1
 rfc3987-syntax==1.1.0
 rpds-py==0.27.1
 ruamel-yaml==0.18.14
-ruamel-yaml-clib==0.2.12
+ruamel-yaml-clib==0.2.14
 scipy==1.16.2
 send2trash==1.8.3
 six==1.17.0
@@ -114,22 +114,21 @@ tinycss2==1.4.0
 tornado==6.5.2
 tqdm==4.67.1
 traitlets==5.14.3
-types-python-dateutil==2.9.0.20250822
 typing-extensions==4.15.0
 tzdata==2025.2
 uri-template==1.3.0
 urllib3==2.5.0
-wcwidth==0.2.13
+wcwidth==0.2.14
 webcolors==24.11.1
 webencodings==0.5.1
-websocket-client==1.8.0
-xcoll==0.6.5
-xdeps==0.10.6
+websocket-client==1.9.0
+xcoll==0.6.7
+xdeps==0.10.7
 xfields==0.25.2
 xobjects==0.5.3
 xpart==0.23.1
-xsuite==0.38.2
-xtrack==0.90.2
+xsuite==0.40.2
+xtrack==0.93.2
 
 # The following packages are considered to be unsafe in a requirements file:
 # setuptools