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[package.dependencies]
six = ">=1.4.1"

[[package]]
category = "dev"
description = "Safely add untrusted strings to HTML/XML markup."
name = "markupsafe"
optional = false
python-versions = ">=2.7,!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*"
version = "1.1.1"

[[package]]
category = "dev"
description = "Python plotting package"
name = "matplotlib"
optional = false
python-versions = "*"
version = "2.2.5"

[package.dependencies]
cycler = ">=0.10"
kiwisolver = ">=1.0.1"
numpy = ">=1.7.1"
pyparsing = ">=2.0.1,<2.0.4 || >2.0.4,<2.1.2 || >2.1.2,<2.1.6 || >2.1.6"
python-dateutil = ">=2.1"
pytz = "*"
six = ">=1.10"

[[package]]
category = "dev"
description = "Python plotting package"
name = "matplotlib"
optional = false
python-versions = ">=3.6"
version = "3.3.3"

[package.dependencies]
cycler = ">=0.10"
kiwisolver = ">=1.0.1"
numpy = ">=1.15"
pillow = ">=6.2.0"
pyparsing = ">=2.0.3,<2.0.4 || >2.0.4,<2.1.2 || >2.1.2,<2.1.6 || >2.1.6"
python-dateutil = ">=2.1"

[[package]]
category = "dev"
description = "The fastest markdown parser in pure Python"
name = "mistune"
optional = false
python-versions = "*"
version = "0.8.4"

[[package]]
category = "dev"
description = "More routines for operating on iterables, beyond itertools"
marker = "python_version <= \"2.7\" or python_version > \"2.7\""
name = "more-itertools"
optional = false
python-versions = "*"
version = "5.0.0"

[package.dependencies]
six = ">=1.0.0,<2.0.0"

[[package]]
category = "dev"
description = "Python library for arbitrary-precision floating-point arithmetic"
name = "mpmath"
optional = false
python-versions = "*"
version = "1.1.0"

[[package]]
category = "dev"
description = "A client library for executing notebooks. Formerly nbconvert's ExecutePreprocessor."
name = "nbclient"
optional = false
python-versions = ">=3.6"
version = "0.5.1"

[package.dependencies]
async-generator = "*"
jupyter-client = ">=6.1.5"
nbformat = ">=5.0"
nest-asyncio = "*"
traitlets = ">=4.2"

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sphinx = ["Sphinx (>=1.7)", "sphinx-book-theme", "mock", "moto", "myst-parser"]
test = ["codecov", "coverage", "ipython", "ipykernel", "ipywidgets", "pytest (>=4.1)", "pytest-cov (>=2.6.1)", "check-manifest", "flake8", "mypy", "tox", "bumpversion", "xmltodict", "pip (>=18.1)", "wheel (>=0.31.0)", "setuptools (>=38.6.0)", "twine (>=1.11.0)", "black"]

[[package]]
category = "dev"
description = "Converting Jupyter Notebooks"
name = "nbconvert"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
version = "5.6.1"

[package.dependencies]
bleach = "*"
defusedxml = "*"
entrypoints = ">=0.2.2"
jinja2 = ">=2.4"
jupyter-core = "*"
mistune = ">=0.8.1,<2"
nbformat = ">=4.4"
pandocfilters = ">=1.4.1"
pygments = "*"
testpath = "*"
traitlets = ">=4.2"

[package.extras]
all = ["pytest", "pytest-cov", "ipykernel", "jupyter-client (>=5.3.1)", "ipywidgets (>=7)", "pebble", "tornado (>=4.0)", "sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "sphinxcontrib-github-alt", "ipython", "mock"]
docs = ["sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "sphinxcontrib-github-alt", "ipython", "jupyter-client (>=5.3.1)"]
execute = ["jupyter-client (>=5.3.1)"]
serve = ["tornado (>=4.0)"]
test = ["pytest", "pytest-cov", "ipykernel", "jupyter-client (>=5.3.1)", "ipywidgets (>=7)", "pebble", "mock"]

[[package]]
category = "dev"
description = "Converting Jupyter Notebooks"
name = "nbconvert"
optional = false
python-versions = ">=3.6"
version = "6.0.7"

[package.dependencies]
bleach = "*"
defusedxml = "*"
entrypoints = ">=0.2.2"
jinja2 = ">=2.4"
jupyter-core = "*"
jupyterlab-pygments = "*"
mistune = ">=0.8.1,<2"
nbclient = ">=0.5.0,<0.6.0"
nbformat = ">=4.4"
pandocfilters = ">=1.4.1"
pygments = ">=2.4.1"
testpath = "*"
traitlets = ">=4.2"

[package.extras]
all = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pyppeteer (0.2.2)", "tornado (>=4.0)", "sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "ipython"]
docs = ["sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "ipython"]
serve = ["tornado (>=4.0)"]
test = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pyppeteer (0.2.2)"]
webpdf = ["pyppeteer (0.2.2)"]

[[package]]
category = "dev"
description = "The Jupyter Notebook format"
name = "nbformat"
optional = false
python-versions = ">=3.5"
version = "5.0.8"

[package.dependencies]
ipython-genutils = "*"
jsonschema = ">=2.4,<2.5.0 || >2.5.0"
jupyter-core = "*"
traitlets = ">=4.1"

[package.extras]
fast = ["fastjsonschema"]
test = ["fastjsonschema", "testpath", "pytest", "pytest-cov"]

[[package]]
category = "dev"
description = "The Jupyter Notebook format"
name = "nbformat"
optional = false
python-versions = "*"
version = "5.0.3"

[package.dependencies]
ipython-genutils = "*"
jsonschema = ">=2.4,<2.5.0 || >2.5.0"
jupyter-core = "*"
traitlets = ">=4.1"

[package.extras]
test = ["testpath", "pytest", "pytest-cov"]

[[package]]
category = "dev"
description = "Jupyter Notebook Tools for Sphinx"
name = "nbsphinx"
optional = false
python-versions = ">=2.7"
version = "0.5.1"

[package.dependencies]
docutils = "*"
jinja2 = "*"
nbconvert = "!=5.4"
nbformat = "*"
sphinx = ">=1.8"
traitlets = "*"

[[package]]
category = "dev"
description = "Jupyter Notebook Tools for Sphinx"
name = "nbsphinx"
optional = false
python-versions = ">=3.6"
version = "0.8.0"

[package.dependencies]
docutils = "*"
jinja2 = "*"
nbconvert = "!=5.4"
nbformat = "*"
sphinx = ">=1.8"
traitlets = "*"

[[package]]
category = "dev"
description = "A py.test plugin to validate Jupyter notebooks"
name = "nbval"
optional = false
python-versions = "*"
version = "0.9.6"

[package.dependencies]
coverage = "*"
ipykernel = "*"
jupyter-client = "*"
nbformat = "*"
pytest = ">=2.8"
six = "*"

[[package]]
category = "dev"
description = "Patch asyncio to allow nested event loops"
name = "nest-asyncio"
optional = false
python-versions = ">=3.5"
version = "1.4.3"

[[package]]
category = "dev"
description = "A web-based notebook environment for interactive computing"
name = "notebook"
optional = false
python-versions = "*"
version = "5.7.10"

[package.dependencies]
Send2Trash = "*"
ipykernel = "*"
ipython-genutils = "*"
jinja2 = "*"
jupyter-client = ">=5.2.0"
jupyter-core = ">=4.4.0"
nbconvert = "<6.0"
nbformat = "*"
prometheus-client = "*"
pyzmq = ">=17"
terminado = ">=0.8.1"
tornado = ">=4.1,<7"
traitlets = ">=4.2.1"

[package.dependencies.ipaddress]
python = ">=2.7,<2.8"
version = "*"

[package.extras]
test = ["nose", "coverage", "requests", "nose-warnings-filters", "nbval", "nose-exclude", "selenium", "mock", "nose-exclude"]

[[package]]
category = "dev"
description = "A web-based notebook environment for interactive computing"
name = "notebook"
optional = false
python-versions = ">=3.5"
version = "6.1.5"

[package.dependencies]
Send2Trash = "*"
argon2-cffi = "*"
ipykernel = "*"
ipython-genutils = "*"
jinja2 = "*"
jupyter-client = ">=5.3.4"
jupyter-core = ">=4.6.1"
nbconvert = "*"
nbformat = "*"
prometheus-client = "*"
pyzmq = ">=17"
terminado = ">=0.8.3"
tornado = ">=5.0"
traitlets = ">=4.2.1"

[package.extras]
docs = ["sphinx", "nbsphinx", "sphinxcontrib-github-alt"]
test = ["nose", "coverage", "requests", "nose-warnings-filters", "nbval", "nose-exclude", "selenium", "pytest", "pytest-cov", "requests-unixsocket"]

[[package]]
category = "main"
description = "Polynomials as a numpy datatype"
name = "numpoly"
optional = false
python-versions = "*"
version = "1.1.0"

[package.dependencies]
numpy = ">=1.16,<2.0"
six = "*"

[[package]]
category = "main"
description = "NumPy is the fundamental package for array computing with Python."
name = "numpy"
optional = false
python-versions = ">=2.7,!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*"
version = "1.16.6"

[[package]]
category = "main"
description = "NumPy is the fundamental package for array computing with Python."
name = "numpy"
optional = false
python-versions = ">=3.6"
version = "1.19.4"

[[package]]
category = "dev"
description = "Uncertainty treatment library"
name = "openturns"
optional = false
python-versions = "*"
version = "1.16"

[[package]]
category = "dev"
description = "Ordered Set."
name = "oset"
optional = false
python-versions = "*"
version = "0.1.3"

[package.dependencies]
setuptools = "*"

[[package]]
category = "dev"
description = "Core utilities for Python packages"
name = "packaging"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
version = "20.7"

[package.dependencies]
pyparsing = ">=2.0.2"

[[package]]
category = "dev"
description = "Utilities for writing pandoc filters in python"
name = "pandocfilters"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
version = "1.4.3"

[[package]]
category = "dev"
description = "A Python Parser"
name = "parso"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
version = "0.7.1"

[package.extras]
testing = ["docopt", "pytest (>=3.0.7)"]

[[package]]
category = "dev"
description = "Object-oriented filesystem paths"
marker = "python_version < \"3.6\" or python_version < \"3.3\" and python_version in \"2.6 2.7 3.2 3.3\""
name = "pathlib2"
optional = false
python-versions = "*"
version = "2.3.5"

[package.dependencies]
six = "*"

[package.dependencies.scandir]
python = "<3.5"
version = "*"

[[package]]
category = "dev"
description = "Pexpect allows easy control of interactive console applications."
marker = "python_version < \"3.3\" and sys_platform != \"win32\" or sys_platform != \"win32\" or python_version >= \"3.3\" and sys_platform != \"win32\""
name = "pexpect"
optional = false
python-versions = "*"
version = "4.8.0"

[package.dependencies]
ptyprocess = ">=0.5"

[[package]]
category = "dev"
description = "Tiny 'shelve'-like database with concurrency support"
name = "pickleshare"
optional = false
python-versions = "*"
version = "0.7.5"

[package.dependencies]
[package.dependencies.pathlib2]
python = ">=2.6.0,<2.8.0 || >=3.2.0,<3.4.0"
version = "*"

[[package]]
category = "dev"
description = "Python Imaging Library (Fork)"
name = "pillow"
optional = false
python-versions = ">=3.6"
version = "8.0.1"

[[package]]
category = "dev"
description = "plugin and hook calling mechanisms for python"
name = "pluggy"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
version = "0.13.1"

[package.dependencies]
[package.dependencies.importlib-metadata]
python = "<3.8"
version = ">=0.12"

[package.extras]
dev = ["pre-commit", "tox"]

[[package]]
category = "dev"
description = "Python client for the Prometheus monitoring system."
name = "prometheus-client"
optional = false
python-versions = "*"
version = "0.9.0"

[package.extras]
twisted = ["twisted"]

[[package]]
category = "dev"
description = "Library for building powerful interactive command lines in Python"
name = "prompt-toolkit"
optional = false
python-versions = "*"
version = "1.0.18"

[package.dependencies]
six = ">=1.9.0"
wcwidth = "*"

[[package]]
category = "dev"
description = "Library for building powerful interactive command lines in Python"
name = "prompt-toolkit"
optional = false
python-versions = ">=3.6"
version = "3.0.3"

[package.dependencies]
wcwidth = "*"

[[package]]
category = "dev"
description = "Run a subprocess in a pseudo terminal"
marker = "sys_platform != \"win32\" or os_name != \"nt\" or python_version < \"3.3\" and sys_platform != \"win32\" or python_version >= \"3.3\" and sys_platform != \"win32\""
name = "ptyprocess"
optional = false
python-versions = "*"
version = "0.6.0"

[[package]]
category = "dev"
description = "library with cross-python path, ini-parsing, io, code, log facilities"
name = "py"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
version = "1.9.0"

[[package]]
category = "dev"
description = "A BibTeX-compatible bibliography processor in Python"
name = "pybtex"
optional = false
python-versions = ">=2.7,!=3.0.*,!=3.1.*,!=3.2.*"
version = "0.23.0"

[package.dependencies]
PyYAML = ">=3.01"
latexcodec = ">=1.0.4"
six = "*"

[package.extras]
test = ["pytest"]

[[package]]
category = "dev"
description = "A docutils backend for pybtex."
name = "pybtex-docutils"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
version = "0.2.2"

[package.dependencies]
docutils = ">=0.8"
pybtex = ">=0.16"
six = "*"

[[package]]
category = "dev"
description = "C parser in Python"
name = "pycparser"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
version = "2.20"

[[package]]
category = "dev"
description = "Sphinx Bootstrap Theme - pydata version."
name = "pydata-sphinx-theme"
optional = false
python-versions = "*"
version = "0.1.0"

[package.dependencies]
sphinx = "*"

[[package]]
category = "dev"
description = "Bootstrap-based Sphinx theme from the PyData community"
name = "pydata-sphinx-theme"
optional = false
python-versions = ">=3.5"
version = "0.4.1"

[package.dependencies]
sphinx = "*"

[[package]]
category = "dev"
description = "Export data as binary VTK files"
name = "pyevtk"
optional = false
python-versions = "*"
version = "1.1.1"

[package.dependencies]
numpy = ">=1.8.0"

[[package]]
category = "dev"
description = "Pygments is a syntax highlighting package written in Python."
name = "pygments"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
version = "2.5.2"

[[package]]
category = "dev"
description = "Pygments is a syntax highlighting package written in Python."
name = "pygments"
optional = false
python-versions = ">=3.5"
version = "2.7.2"

[[package]]
category = "dev"
description = "Python parsing module"
name = "pyparsing"
optional = false
python-versions = ">=2.6, !=3.0.*, !=3.1.*, !=3.2.*"
version = "2.4.7"

[[package]]
category = "dev"
description = "Persistent/Functional/Immutable data structures"
name = "pyrsistent"
optional = false
python-versions = ">=3.5"
version = "0.17.3"

[[package]]
category = "dev"
description = "Persistent/Functional/Immutable data structures"
name = "pyrsistent"
optional = false
python-versions = "*"
version = "0.17.0"

[[package]]
category = "dev"
description = "pytest: simple powerful testing with Python"
name = "pytest"
optional = false
python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,>=2.7"
version = "4.6.11"

[package.dependencies]
atomicwrites = ">=1.0"
attrs = ">=17.4.0"
packaging = "*"
pluggy = ">=0.12,<1.0"
py = ">=1.5.0"
six = ">=1.10.0"
wcwidth = "*"

[[package.dependencies.more-itertools]]
python = "<2.8"
version = ">=4.0.0,<6.0.0"

[[package.dependencies.more-itertools]]
python = ">=2.8"
version = ">=4.0.0"

[package.dependencies.colorama]
python = "<3.4.0 || >=3.5.0"
version = "*"

[package.dependencies.funcsigs]
python = "<3.0"
version = ">=1.0"

[package.dependencies.importlib-metadata]
python = "<3.8"
version = ">=0.12"

[package.dependencies.pathlib2]
python = "<3.6"
version = ">=2.2.0"

[package.extras]
testing = ["argcomplete", "hypothesis (>=3.56)", "nose", "requests", "mock"]

[[package]]
category = "dev"
description = "pytest: simple powerful testing with Python"
name = "pytest"
optional = false
python-versions = ">=3.5"
version = "6.1.2"

[package.dependencies]
atomicwrites = ">=1.0"
attrs = ">=17.4.0"
colorama = "*"
iniconfig = "*"
packaging = "*"
pluggy = ">=0.12,<1.0"
py = ">=1.8.2"
toml = "*"

[package.dependencies.importlib-metadata]
python = "<3.8"
version = ">=0.12"

[package.extras]
checkqa_mypy = ["mypy (0.780)"]
testing = ["argcomplete", "hypothesis (>=3.56)", "mock", "nose", "requests", "xmlschema"]

[[package]]
category = "dev"
description = "Extensions to the standard Python datetime module"
name = "python-dateutil"
optional = false
python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,>=2.7"
version = "2.8.1"

[package.dependencies]
six = ">=1.5"

[[package]]
category = "dev"
description = "World timezone definitions, modern and historical"
name = "pytz"
optional = false
python-versions = "*"
version = "2020.4"

[[package]]
category = "dev"
description = "Python for Window Extensions"
marker = "sys_platform == \"win32\""
name = "pywin32"
optional = false
python-versions = "*"
version = "300"

[[package]]
category = "dev"
description = "Python bindings for the winpty library"
marker = "os_name == \"nt\""
name = "pywinpty"
optional = false
python-versions = "*"
version = "0.5.7"

[package.dependencies]
[package.dependencies."backports.shutil-which"]
python = "<3.0"
version = "*"

[[package]]
category = "dev"
description = "YAML parser and emitter for Python"
name = "pyyaml"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
version = "5.3.1"

[[package]]
category = "dev"
description = "Python bindings for 0MQ"
name = "pyzmq"
optional = false
python-versions = ">=3.5"
version = "20.0.0"

[package.dependencies]
cffi = "*"
py = "*"

[[package]]
category = "dev"
description = "Python bindings for 0MQ"
name = "pyzmq"
optional = false
python-versions = ">=2.7,!=3.0.*,!=3.1.*,!=3.2.*"
version = "19.0.2"

[[package]]
category = "dev"
description = "Jupyter Qt console"
name = "qtconsole"
optional = false
python-versions = "*"
version = "5.0.0"

[package.dependencies]
ipykernel = ">=4.1"
ipython-genutils = "*"
jupyter-client = ">=4.1"
jupyter-core = "*"
pygments = "*"
pyzmq = ">=17.1"
qtpy = "*"
traitlets = "*"

[package.extras]
doc = ["Sphinx (>=1.3)"]
test = ["flaky", "pytest", "pytest-qt"]

[[package]]
category = "dev"
description = "Jupyter Qt console"
name = "qtconsole"
optional = false
python-versions = ">= 3.6"
version = "5.0.1"

[package.dependencies]
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ipython-genutils = "*"
jupyter-client = ">=4.1"
jupyter-core = "*"
pygments = "*"
pyzmq = ">=17.1"
qtpy = "*"
traitlets = "*"

[package.extras]
doc = ["Sphinx (>=1.3)"]
test = ["flaky", "pytest", "pytest-qt"]

[[package]]
category = "dev"
description = "Provides an abstraction layer on top of the various Qt bindings (PyQt5, PyQt4 and PySide) and additional custom QWidgets."
name = "qtpy"
optional = false
python-versions = "*"
version = "1.9.0"

[[package]]
category = "dev"
description = "Python HTTP for Humans."
name = "requests"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
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[package.dependencies]
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chardet = ">=3.0.2,<4"
idna = ">=2.5,<3"
urllib3 = ">=1.21.1,<1.27"

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security = ["pyOpenSSL (>=0.14)", "cryptography (>=1.3.4)"]
socks = ["PySocks (>=1.5.6,<1.5.7 || >1.5.7)", "win-inet-pton"]

[[package]]
category = "dev"
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