diff --git a/poetry.lock b/poetry.lock
index ccd3c5f7..22b4483f 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,25 +1,10 @@
-# This file is automatically @generated by Poetry 1.5.1 and should not be changed by hand.
-
-[[package]]
-name = "a3b2bbc3ced97675ac3a71df45f55ba"
-version = "6.4.0"
-description = "The LHAPDF parton density evaluation library"
-optional = true
-python-versions = "*"
-files = [
-    {file = "a3b2bbc3ced97675ac3a71df45f55ba-6.4.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:d47714ce84c5cd94cc5512d5683b39c5cd681e13ad086961770b4eb093e11154"},
-    {file = "a3b2bbc3ced97675ac3a71df45f55ba-6.4.0-cp36-cp36m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:4ee7ba0247c67a8357685e5ad415df8b2322baf7eadd53120819a6c8d35484fe"},
-    {file = "a3b2bbc3ced97675ac3a71df45f55ba-6.4.0-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:a01f7629db6684f9b231e60f98426b70fc66d45efa6a80ba26c6cacec5a95a7b"},
-    {file = "a3b2bbc3ced97675ac3a71df45f55ba-6.4.0-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:c0eaca66dafb9ab775e6aa2bd3e94e11f70b1bd28fa636fb047b917653b77ad4"},
-    {file = "a3b2bbc3ced97675ac3a71df45f55ba-6.4.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:3b3aab2121fa218ab30fa7ce72452646f74c183c00639d8d865a4abec57e92f2"},
-    {file = "a3b2bbc3ced97675ac3a71df45f55ba-6.4.0-pp37-pypy37_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:0147a1d9dab10f8b23ef5fc97f570ce044e9f8409bfee2fbce551180fafcbb2e"},
-    {file = "a3b2bbc3ced97675ac3a71df45f55ba-6.4.0.tar.gz", hash = "sha256:1bd60035f9862db1130be035f631c2cfcf90d2ee0cfc6f33ce29fbf8a70b5a04"},
-]
+# This file is automatically @generated by Poetry 1.4.2 and should not be changed by hand.
 
 [[package]]
 name = "alabaster"
 version = "0.7.13"
 description = "A configurable sidebar-enabled Sphinx theme"
+category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -31,6 +16,7 @@ files = [
 name = "appdirs"
 version = "1.4.4"
 description = "A small Python module for determining appropriate platform-specific dirs, e.g. a \"user data dir\"."
+category = "main"
 optional = true
 python-versions = "*"
 files = [
@@ -42,6 +28,7 @@ files = [
 name = "appnope"
 version = "0.1.3"
 description = "Disable App Nap on macOS >= 10.9"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -53,6 +40,7 @@ files = [
 name = "astroid"
 version = "2.15.5"
 description = "An abstract syntax tree for Python with inference support."
+category = "dev"
 optional = false
 python-versions = ">=3.7.2"
 files = [
@@ -72,6 +60,7 @@ wrapt = [
 name = "asttokens"
 version = "2.2.1"
 description = "Annotate AST trees with source code positions"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -89,6 +78,7 @@ test = ["astroid", "pytest"]
 name = "asv"
 version = "0.4.2"
 description = "Airspeed Velocity: A simple Python history benchmarking tool"
+category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
 files = [
@@ -105,6 +95,7 @@ hg = ["python-hglib (>=1.5)"]
 name = "attrs"
 version = "23.1.0"
 description = "Classes Without Boilerplate"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -123,6 +114,7 @@ tests-no-zope = ["cloudpickle", "hypothesis", "mypy (>=1.1.1)", "pympler", "pyte
 name = "babel"
 version = "2.12.1"
 description = "Internationalization utilities"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -137,6 +129,7 @@ pytz = {version = ">=2015.7", markers = "python_version < \"3.9\""}
 name = "backcall"
 version = "0.2.0"
 description = "Specifications for callback functions passed in to an API"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -148,6 +141,7 @@ files = [
 name = "banana-hep"
 version = "0.6.9"
 description = "Benchmark QCD physics"
+category = "main"
 optional = true
 python-versions = ">=3.8.0,<3.12"
 files = [
@@ -171,6 +165,7 @@ SQLAlchemy = ">=1.4.29,<2.0.0"
 name = "beautifulsoup4"
 version = "4.12.2"
 description = "Screen-scraping library"
+category = "dev"
 optional = false
 python-versions = ">=3.6.0"
 files = [
@@ -189,6 +184,7 @@ lxml = ["lxml"]
 name = "bleach"
 version = "6.0.0"
 description = "An easy safelist-based HTML-sanitizing tool."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -207,6 +203,7 @@ css = ["tinycss2 (>=1.1.0,<1.2)"]
 name = "certifi"
 version = "2023.5.7"
 description = "Python package for providing Mozilla's CA Bundle."
+category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -218,6 +215,7 @@ files = [
 name = "cffi"
 version = "1.15.1"
 description = "Foreign Function Interface for Python calling C code."
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -294,6 +292,7 @@ pycparser = "*"
 name = "charset-normalizer"
 version = "3.1.0"
 description = "The Real First Universal Charset Detector. Open, modern and actively maintained alternative to Chardet."
+category = "dev"
 optional = false
 python-versions = ">=3.7.0"
 files = [
@@ -378,6 +377,7 @@ files = [
 name = "click"
 version = "8.1.3"
 description = "Composable command line interface toolkit"
+category = "main"
 optional = true
 python-versions = ">=3.7"
 files = [
@@ -392,6 +392,7 @@ colorama = {version = "*", markers = "platform_system == \"Windows\""}
 name = "colorama"
 version = "0.4.6"
 description = "Cross-platform colored terminal text."
+category = "main"
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7"
 files = [
@@ -403,6 +404,7 @@ files = [
 name = "commonmark"
 version = "0.9.1"
 description = "Python parser for the CommonMark Markdown spec"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -417,6 +419,7 @@ test = ["flake8 (==3.7.8)", "hypothesis (==3.55.3)"]
 name = "contourpy"
 version = "1.1.0"
 description = "Python library for calculating contours of 2D quadrilateral grids"
+category = "main"
 optional = true
 python-versions = ">=3.8"
 files = [
@@ -475,6 +478,7 @@ test-no-images = ["pytest", "pytest-cov", "wurlitzer"]
 name = "coverage"
 version = "7.2.7"
 description = "Code coverage measurement for Python"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -550,6 +554,7 @@ toml = ["tomli"]
 name = "cycler"
 version = "0.11.0"
 description = "Composable style cycles"
+category = "main"
 optional = true
 python-versions = ">=3.6"
 files = [
@@ -561,6 +566,7 @@ files = [
 name = "decorator"
 version = "5.1.1"
 description = "Decorators for Humans"
+category = "main"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -572,6 +578,7 @@ files = [
 name = "defusedxml"
 version = "0.7.1"
 description = "XML bomb protection for Python stdlib modules"
+category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
 files = [
@@ -583,6 +590,7 @@ files = [
 name = "dill"
 version = "0.3.6"
 description = "serialize all of python"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -597,6 +605,7 @@ graph = ["objgraph (>=1.7.2)"]
 name = "distlib"
 version = "0.3.6"
 description = "Distribution utilities"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -608,6 +617,7 @@ files = [
 name = "docutils"
 version = "0.16"
 description = "Docutils -- Python Documentation Utilities"
+category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
 files = [
@@ -619,6 +629,7 @@ files = [
 name = "eko"
 version = "0.13.5"
 description = "Evolution Kernel Operators"
+category = "main"
 optional = false
 python-versions = ">=3.8,<3.12"
 files = [
@@ -641,6 +652,7 @@ mark = ["banana-hep (>=0.6.9,<0.7.0)", "matplotlib (>=3.5.1,<4.0.0)", "pandas (>
 name = "exceptiongroup"
 version = "1.1.1"
 description = "Backport of PEP 654 (exception groups)"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -655,6 +667,7 @@ test = ["pytest (>=6)"]
 name = "executing"
 version = "1.2.0"
 description = "Get the currently executing AST node of a frame, and other information"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -669,6 +682,7 @@ tests = ["asttokens", "littleutils", "pytest", "rich"]
 name = "fancycompleter"
 version = "0.9.1"
 description = "colorful TAB completion for Python prompt"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -684,6 +698,7 @@ pyrepl = ">=0.8.2"
 name = "fastjsonschema"
 version = "2.17.1"
 description = "Fastest Python implementation of JSON schema"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -698,6 +713,7 @@ devel = ["colorama", "json-spec", "jsonschema", "pylint", "pytest", "pytest-benc
 name = "filelock"
 version = "3.12.2"
 description = "A platform independent file lock."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -713,6 +729,7 @@ testing = ["covdefaults (>=2.3)", "coverage (>=7.2.7)", "diff-cover (>=7.5)", "p
 name = "fonttools"
 version = "4.40.0"
 description = "Tools to manipulate font files"
+category = "main"
 optional = true
 python-versions = ">=3.8"
 files = [
@@ -770,6 +787,7 @@ woff = ["brotli (>=1.0.1)", "brotlicffi (>=0.8.0)", "zopfli (>=0.1.4)"]
 name = "greenlet"
 version = "2.0.2"
 description = "Lightweight in-process concurrent programming"
+category = "main"
 optional = true
 python-versions = ">=2.7,!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*"
 files = [
@@ -843,6 +861,7 @@ test = ["objgraph", "psutil"]
 name = "hypothesis"
 version = "6.79.1"
 description = "A library for property-based testing"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -875,6 +894,7 @@ zoneinfo = ["backports.zoneinfo (>=0.2.1)", "tzdata (>=2023.3)"]
 name = "idna"
 version = "3.4"
 description = "Internationalized Domain Names in Applications (IDNA)"
+category = "dev"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -886,6 +906,7 @@ files = [
 name = "imagesize"
 version = "1.4.1"
 description = "Getting image size from png/jpeg/jpeg2000/gif file"
+category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
 files = [
@@ -897,6 +918,7 @@ files = [
 name = "importlib-metadata"
 version = "6.7.0"
 description = "Read metadata from Python packages"
+category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -916,6 +938,7 @@ testing = ["flufl.flake8", "importlib-resources (>=1.3)", "packaging", "pyfakefs
 name = "importlib-resources"
 version = "5.12.0"
 description = "Read resources from Python packages"
+category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -934,6 +957,7 @@ testing = ["flake8 (<5)", "pytest (>=6)", "pytest-black (>=0.3.7)", "pytest-chec
 name = "iniconfig"
 version = "2.0.0"
 description = "brain-dead simple config-ini parsing"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -945,6 +969,7 @@ files = [
 name = "ipython"
 version = "8.12.2"
 description = "IPython: Productive Interactive Computing"
+category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -984,6 +1009,7 @@ test-extra = ["curio", "matplotlib (!=3.2.0)", "nbformat", "numpy (>=1.21)", "pa
 name = "isort"
 version = "5.12.0"
 description = "A Python utility / library to sort Python imports."
+category = "dev"
 optional = false
 python-versions = ">=3.8.0"
 files = [
@@ -1001,6 +1027,7 @@ requirements-deprecated-finder = ["pip-api", "pipreqs"]
 name = "jedi"
 version = "0.18.2"
 description = "An autocompletion tool for Python that can be used for text editors."
+category = "main"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -1020,6 +1047,7 @@ testing = ["Django (<3.1)", "attrs", "colorama", "docopt", "pytest (<7.0.0)"]
 name = "jinja2"
 version = "3.1.2"
 description = "A very fast and expressive template engine."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1037,6 +1065,7 @@ i18n = ["Babel (>=2.7)"]
 name = "jsonschema"
 version = "4.17.3"
 description = "An implementation of JSON Schema validation for Python"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1058,6 +1087,7 @@ format-nongpl = ["fqdn", "idna", "isoduration", "jsonpointer (>1.13)", "rfc3339-
 name = "jupyter-client"
 version = "8.2.0"
 description = "Jupyter protocol implementation and client libraries"
+category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1067,7 +1097,7 @@ files = [
 
 [package.dependencies]
 importlib-metadata = {version = ">=4.8.3", markers = "python_version < \"3.10\""}
-jupyter-core = ">=4.12,<5.0.dev0 || >=5.1.dev0"
+jupyter-core = ">=4.12,<5.0.0 || >=5.1.0"
 python-dateutil = ">=2.8.2"
 pyzmq = ">=23.0"
 tornado = ">=6.2"
@@ -1081,6 +1111,7 @@ test = ["coverage", "ipykernel (>=6.14)", "mypy", "paramiko", "pre-commit", "pyt
 name = "jupyter-core"
 version = "5.3.1"
 description = "Jupyter core package. A base package on which Jupyter projects rely."
+category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1101,6 +1132,7 @@ test = ["ipykernel", "pre-commit", "pytest", "pytest-cov", "pytest-timeout"]
 name = "jupyterlab-pygments"
 version = "0.2.2"
 description = "Pygments theme using JupyterLab CSS variables"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1112,6 +1144,7 @@ files = [
 name = "kiwisolver"
 version = "1.4.4"
 description = "A fast implementation of the Cassowary constraint solver"
+category = "main"
 optional = true
 python-versions = ">=3.7"
 files = [
@@ -1189,6 +1222,7 @@ files = [
 name = "latexcodec"
 version = "2.0.1"
 description = "A lexer and codec to work with LaTeX code in Python."
+category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
 files = [
@@ -1203,6 +1237,7 @@ six = ">=1.4.1"
 name = "lazy-object-proxy"
 version = "1.9.0"
 description = "A fast and thorough lazy object proxy."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1246,12 +1281,13 @@ files = [
 
 [[package]]
 name = "leprohq"
-version = "0.2.4"
+version = "0.2.5"
 description = "(Un-)polarized Leptoproduction of Heavy Quarks"
+category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "LeProHQ-0.2.4-py3-none-any.whl", hash = "sha256:eee58004251de4fd9ec3e5ff77dc28690dfaf6bf13501ff35ae204b8f25d6080"},
+    {file = "LeProHQ-0.2.5-py3-none-any.whl", hash = "sha256:e262634062a5c6a4c7060d26f2c69a5ac5c68bbc096384dba46f39704d2e0439"},
 ]
 
 [package.dependencies]
@@ -1263,6 +1299,7 @@ scipy = "*"
 name = "llvmlite"
 version = "0.40.0"
 description = "lightweight wrapper around basic LLVM functionality"
+category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1296,6 +1333,7 @@ files = [
 name = "lz4"
 version = "4.3.2"
 description = "LZ4 Bindings for Python"
+category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1345,6 +1383,7 @@ tests = ["psutil", "pytest (!=3.3.0)", "pytest-cov"]
 name = "markupsafe"
 version = "2.1.3"
 description = "Safely add untrusted strings to HTML/XML markup."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1404,6 +1443,7 @@ files = [
 name = "matplotlib"
 version = "3.7.1"
 description = "Python plotting package"
+category = "main"
 optional = true
 python-versions = ">=3.8"
 files = [
@@ -1466,6 +1506,7 @@ python-dateutil = ">=2.7"
 name = "matplotlib-inline"
 version = "0.1.6"
 description = "Inline Matplotlib backend for Jupyter"
+category = "main"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -1480,6 +1521,7 @@ traitlets = "*"
 name = "mccabe"
 version = "0.7.0"
 description = "McCabe checker, plugin for flake8"
+category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -1491,6 +1533,7 @@ files = [
 name = "mistune"
 version = "3.0.1"
 description = "A sane and fast Markdown parser with useful plugins and renderers"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1502,6 +1545,7 @@ files = [
 name = "nbclient"
 version = "0.8.0"
 description = "A client library for executing notebooks. Formerly nbconvert's ExecutePreprocessor."
+category = "dev"
 optional = false
 python-versions = ">=3.8.0"
 files = [
@@ -1511,7 +1555,7 @@ files = [
 
 [package.dependencies]
 jupyter-client = ">=6.1.12"
-jupyter-core = ">=4.12,<5.0.dev0 || >=5.1.dev0"
+jupyter-core = ">=4.12,<5.0.0 || >=5.1.0"
 nbformat = ">=5.1"
 traitlets = ">=5.4"
 
@@ -1524,6 +1568,7 @@ test = ["flaky", "ipykernel (>=6.19.3)", "ipython", "ipywidgets", "nbconvert (>=
 name = "nbconvert"
 version = "7.6.0"
 description = "Converting Jupyter Notebooks"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1562,6 +1607,7 @@ webpdf = ["pyppeteer (>=1,<1.1)"]
 name = "nbformat"
 version = "5.9.0"
 description = "The Jupyter Notebook format"
+category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1583,6 +1629,7 @@ test = ["pep440", "pre-commit", "pytest", "testpath"]
 name = "nbsphinx"
 version = "0.8.12"
 description = "Jupyter Notebook Tools for Sphinx"
+category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -1602,6 +1649,7 @@ traitlets = ">=5"
 name = "numba"
 version = "0.57.0"
 description = "compiling Python code using LLVM"
+category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1633,13 +1681,14 @@ files = [
 
 [package.dependencies]
 importlib-metadata = {version = "*", markers = "python_version < \"3.9\""}
-llvmlite = "==0.40.*"
+llvmlite = ">=0.40.0dev0,<0.41"
 numpy = ">=1.21,<1.25"
 
 [[package]]
 name = "numpy"
 version = "1.24.3"
 description = "Fundamental package for array computing in Python"
+category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1677,6 +1726,7 @@ files = [
 name = "packaging"
 version = "23.1"
 description = "Core utilities for Python packages"
+category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1688,6 +1738,7 @@ files = [
 name = "pandas"
 version = "1.5.3"
 description = "Powerful data structures for data analysis, time series, and statistics"
+category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1736,6 +1787,7 @@ test = ["hypothesis (>=5.5.3)", "pytest (>=6.0)", "pytest-xdist (>=1.31)"]
 name = "pandocfilters"
 version = "1.5.0"
 description = "Utilities for writing pandoc filters in python"
+category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
 files = [
@@ -1747,6 +1799,7 @@ files = [
 name = "parso"
 version = "0.8.3"
 description = "A Python Parser"
+category = "main"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -1762,6 +1815,7 @@ testing = ["docopt", "pytest (<6.0.0)"]
 name = "pastel"
 version = "0.2.1"
 description = "Bring colors to your terminal."
+category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
 files = [
@@ -1773,6 +1827,7 @@ files = [
 name = "pdbpp"
 version = "0.10.3"
 description = "pdb++, a drop-in replacement for pdb"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -1793,6 +1848,7 @@ testing = ["funcsigs", "pytest"]
 name = "pendulum"
 version = "2.1.2"
 description = "Python datetimes made easy"
+category = "main"
 optional = true
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
 files = [
@@ -1827,6 +1883,7 @@ pytzdata = ">=2020.1"
 name = "pexpect"
 version = "4.8.0"
 description = "Pexpect allows easy control of interactive console applications."
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -1841,6 +1898,7 @@ ptyprocess = ">=0.5"
 name = "pickleshare"
 version = "0.7.5"
 description = "Tiny 'shelve'-like database with concurrency support"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -1852,6 +1910,7 @@ files = [
 name = "pillow"
 version = "9.5.0"
 description = "Python Imaging Library (Fork)"
+category = "main"
 optional = true
 python-versions = ">=3.7"
 files = [
@@ -1931,6 +1990,7 @@ tests = ["check-manifest", "coverage", "defusedxml", "markdown2", "olefile", "pa
 name = "pineappl"
 version = "0.6.0"
 description = "Python bindings to PineAPPL"
+category = "main"
 optional = true
 python-versions = ">=3.7"
 files = [
@@ -1967,6 +2027,7 @@ test = ["pytest", "pytest-cov"]
 name = "pkgutil-resolve-name"
 version = "1.3.10"
 description = "Resolve a name to an object."
+category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -1978,6 +2039,7 @@ files = [
 name = "platformdirs"
 version = "3.7.0"
 description = "A small Python package for determining appropriate platform-specific dirs, e.g. a \"user data dir\"."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1993,6 +2055,7 @@ test = ["appdirs (==1.4.4)", "covdefaults (>=2.3)", "pytest (>=7.3.1)", "pytest-
 name = "pluggy"
 version = "1.2.0"
 description = "plugin and hook calling mechanisms for python"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2008,6 +2071,7 @@ testing = ["pytest", "pytest-benchmark"]
 name = "poethepoet"
 version = "0.10.0"
 description = "A task runner that works well with poetry."
+category = "dev"
 optional = false
 python-versions = ">=3.6,<4.0"
 files = [
@@ -2023,6 +2087,7 @@ tomlkit = ">=0.6.0,<1.0.0"
 name = "prompt-toolkit"
 version = "3.0.38"
 description = "Library for building powerful interactive command lines in Python"
+category = "main"
 optional = false
 python-versions = ">=3.7.0"
 files = [
@@ -2037,6 +2102,7 @@ wcwidth = "*"
 name = "ptyprocess"
 version = "0.7.0"
 description = "Run a subprocess in a pseudo terminal"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -2048,6 +2114,7 @@ files = [
 name = "pure-eval"
 version = "0.2.2"
 description = "Safely evaluate AST nodes without side effects"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -2062,6 +2129,7 @@ tests = ["pytest"]
 name = "pybtex"
 version = "0.24.0"
 description = "A BibTeX-compatible bibliography processor in Python"
+category = "dev"
 optional = false
 python-versions = ">=2.7,!=3.0.*,!=3.1.*,!=3.2.*"
 files = [
@@ -2081,6 +2149,7 @@ test = ["pytest"]
 name = "pybtex-docutils"
 version = "1.0.2"
 description = "A docutils backend for pybtex."
+category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -2096,6 +2165,7 @@ pybtex = ">=0.16"
 name = "pycparser"
 version = "2.21"
 description = "C parser in Python"
+category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
 files = [
@@ -2107,6 +2177,7 @@ files = [
 name = "pygments"
 version = "2.15.1"
 description = "Pygments is a syntax highlighting package written in Python."
+category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2121,6 +2192,7 @@ plugins = ["importlib-metadata"]
 name = "pylint"
 version = "2.17.4"
 description = "python code static checker"
+category = "dev"
 optional = false
 python-versions = ">=3.7.2"
 files = [
@@ -2150,6 +2222,7 @@ testutils = ["gitpython (>3)"]
 name = "pyparsing"
 version = "3.1.0"
 description = "pyparsing module - Classes and methods to define and execute parsing grammars"
+category = "main"
 optional = true
 python-versions = ">=3.6.8"
 files = [
@@ -2164,6 +2237,7 @@ diagrams = ["jinja2", "railroad-diagrams"]
 name = "pyreadline"
 version = "2.1"
 description = "A python implmementation of GNU readline."
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2174,6 +2248,7 @@ files = [
 name = "pyrepl"
 version = "0.9.0"
 description = "A library for building flexible command line interfaces"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2184,6 +2259,7 @@ files = [
 name = "pyrsistent"
 version = "0.19.3"
 description = "Persistent/Functional/Immutable data structures"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2220,6 +2296,7 @@ files = [
 name = "pytest"
 version = "7.3.2"
 description = "pytest: simple powerful testing with Python"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2242,6 +2319,7 @@ testing = ["argcomplete", "attrs (>=19.2.0)", "hypothesis (>=3.56)", "mock", "no
 name = "pytest-cov"
 version = "4.1.0"
 description = "Pytest plugin for measuring coverage."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2260,6 +2338,7 @@ testing = ["fields", "hunter", "process-tests", "pytest-xdist", "six", "virtuale
 name = "pytest-env"
 version = "0.6.2"
 description = "py.test plugin that allows you to add environment variables."
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2273,6 +2352,7 @@ pytest = ">=2.6.0"
 name = "python-dateutil"
 version = "2.8.2"
 description = "Extensions to the standard Python datetime module"
+category = "main"
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,>=2.7"
 files = [
@@ -2287,6 +2367,7 @@ six = ">=1.5"
 name = "pytz"
 version = "2023.3"
 description = "World timezone definitions, modern and historical"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -2298,6 +2379,7 @@ files = [
 name = "pytzdata"
 version = "2020.1"
 description = "The Olson timezone database for Python."
+category = "main"
 optional = true
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
 files = [
@@ -2309,6 +2391,7 @@ files = [
 name = "pywin32"
 version = "306"
 description = "Python for Window Extensions"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2332,6 +2415,7 @@ files = [
 name = "pyyaml"
 version = "6.0"
 description = "YAML parser and emitter for Python"
+category = "main"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -2381,6 +2465,7 @@ files = [
 name = "pyzmq"
 version = "25.1.0"
 description = "Python bindings for 0MQ"
+category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -2470,6 +2555,7 @@ cffi = {version = "*", markers = "implementation_name == \"pypy\""}
 name = "recommonmark"
 version = "0.7.1"
 description = "A docutils-compatibility bridge to CommonMark, enabling you to write CommonMark inside of Docutils & Sphinx projects."
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2486,6 +2572,7 @@ sphinx = ">=1.3.1"
 name = "requests"
 version = "2.31.0"
 description = "Python HTTP for Humans."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2507,6 +2594,7 @@ use-chardet-on-py3 = ["chardet (>=3.0.2,<6)"]
 name = "rich"
 version = "12.6.0"
 description = "Render rich text, tables, progress bars, syntax highlighting, markdown and more to the terminal"
+category = "main"
 optional = false
 python-versions = ">=3.6.3,<4.0.0"
 files = [
@@ -2526,6 +2614,7 @@ jupyter = ["ipywidgets (>=7.5.1,<8.0.0)"]
 name = "scipy"
 version = "1.10.1"
 description = "Fundamental algorithms for scientific computing in Python"
+category = "main"
 optional = false
 python-versions = "<3.12,>=3.8"
 files = [
@@ -2564,6 +2653,7 @@ test = ["asv", "gmpy2", "mpmath", "pooch", "pytest", "pytest-cov", "pytest-timeo
 name = "six"
 version = "1.16.0"
 description = "Python 2 and 3 compatibility utilities"
+category = "main"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*"
 files = [
@@ -2575,6 +2665,7 @@ files = [
 name = "snowballstemmer"
 version = "2.2.0"
 description = "This package provides 29 stemmers for 28 languages generated from Snowball algorithms."
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2586,6 +2677,7 @@ files = [
 name = "sortedcontainers"
 version = "2.4.0"
 description = "Sorted Containers -- Sorted List, Sorted Dict, Sorted Set"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2597,6 +2689,7 @@ files = [
 name = "soupsieve"
 version = "2.4.1"
 description = "A modern CSS selector implementation for Beautiful Soup."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2608,6 +2701,7 @@ files = [
 name = "sphinx"
 version = "4.5.0"
 description = "Python documentation generator"
+category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -2643,6 +2737,7 @@ test = ["cython", "html5lib", "pytest", "pytest-cov", "typed-ast"]
 name = "sphinx-rtd-theme"
 version = "0.5.2"
 description = "Read the Docs theme for Sphinx"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2661,6 +2756,7 @@ dev = ["bump2version", "sphinxcontrib-httpdomain", "transifex-client"]
 name = "sphinxcontrib-applehelp"
 version = "1.0.4"
 description = "sphinxcontrib-applehelp is a Sphinx extension which outputs Apple help books"
+category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2676,6 +2772,7 @@ test = ["pytest"]
 name = "sphinxcontrib-bibtex"
 version = "2.5.0"
 description = "Sphinx extension for BibTeX style citations."
+category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -2694,6 +2791,7 @@ Sphinx = ">=2.1"
 name = "sphinxcontrib-details-directive"
 version = "0.1.0"
 description = "\"details\" directive for Sphinx"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2711,6 +2809,7 @@ test = ["flake8", "flake8-import-order", "mypy", "pytest", "tox"]
 name = "sphinxcontrib-devhelp"
 version = "1.0.2"
 description = "sphinxcontrib-devhelp is a sphinx extension which outputs Devhelp document."
+category = "dev"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -2726,6 +2825,7 @@ test = ["pytest"]
 name = "sphinxcontrib-htmlhelp"
 version = "2.0.1"
 description = "sphinxcontrib-htmlhelp is a sphinx extension which renders HTML help files"
+category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2741,6 +2841,7 @@ test = ["html5lib", "pytest"]
 name = "sphinxcontrib-jsmath"
 version = "1.0.1"
 description = "A sphinx extension which renders display math in HTML via JavaScript"
+category = "dev"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -2755,6 +2856,7 @@ test = ["flake8", "mypy", "pytest"]
 name = "sphinxcontrib-qthelp"
 version = "1.0.3"
 description = "sphinxcontrib-qthelp is a sphinx extension which outputs QtHelp document."
+category = "dev"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -2770,6 +2872,7 @@ test = ["pytest"]
 name = "sphinxcontrib-serializinghtml"
 version = "1.1.5"
 description = "sphinxcontrib-serializinghtml is a sphinx extension which outputs \"serialized\" HTML files (json and pickle)."
+category = "dev"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -2785,6 +2888,7 @@ test = ["pytest"]
 name = "sqlalchemy"
 version = "1.4.48"
 description = "Database Abstraction Library"
+category = "main"
 optional = true
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,>=2.7"
 files = [
@@ -2832,7 +2936,7 @@ files = [
 ]
 
 [package.dependencies]
-greenlet = {version = "!=0.4.17", markers = "python_version >= \"3\" and (platform_machine == \"win32\" or platform_machine == \"WIN32\" or platform_machine == \"AMD64\" or platform_machine == \"amd64\" or platform_machine == \"x86_64\" or platform_machine == \"ppc64le\" or platform_machine == \"aarch64\")"}
+greenlet = {version = "!=0.4.17", markers = "python_version >= \"3\" and platform_machine == \"aarch64\" or python_version >= \"3\" and platform_machine == \"ppc64le\" or python_version >= \"3\" and platform_machine == \"x86_64\" or python_version >= \"3\" and platform_machine == \"amd64\" or python_version >= \"3\" and platform_machine == \"AMD64\" or python_version >= \"3\" and platform_machine == \"win32\" or python_version >= \"3\" and platform_machine == \"WIN32\""}
 
 [package.extras]
 aiomysql = ["aiomysql", "greenlet (!=0.4.17)"]
@@ -2859,6 +2963,7 @@ sqlcipher = ["sqlcipher3-binary"]
 name = "stack-data"
 version = "0.6.2"
 description = "Extract data from python stack frames and tracebacks for informative displays"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -2878,6 +2983,7 @@ tests = ["cython", "littleutils", "pygments", "pytest", "typeguard"]
 name = "tinycss2"
 version = "1.2.1"
 description = "A tiny CSS parser"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2896,6 +3002,7 @@ test = ["flake8", "isort", "pytest"]
 name = "tomli"
 version = "2.0.1"
 description = "A lil' TOML parser"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2907,6 +3014,7 @@ files = [
 name = "tomlkit"
 version = "0.11.8"
 description = "Style preserving TOML library"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2918,6 +3026,7 @@ files = [
 name = "tornado"
 version = "6.3.2"
 description = "Tornado is a Python web framework and asynchronous networking library, originally developed at FriendFeed."
+category = "dev"
 optional = false
 python-versions = ">= 3.8"
 files = [
@@ -2938,6 +3047,7 @@ files = [
 name = "traitlets"
 version = "5.9.0"
 description = "Traitlets Python configuration system"
+category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2953,6 +3063,7 @@ test = ["argcomplete (>=2.0)", "pre-commit", "pytest", "pytest-mock"]
 name = "typing-extensions"
 version = "4.6.3"
 description = "Backported and Experimental Type Hints for Python 3.7+"
+category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2964,6 +3075,7 @@ files = [
 name = "urllib3"
 version = "2.0.3"
 description = "HTTP library with thread-safe connection pooling, file post, and more."
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2981,6 +3093,7 @@ zstd = ["zstandard (>=0.18.0)"]
 name = "virtualenv"
 version = "20.23.1"
 description = "Virtual Python Environment builder"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -3001,6 +3114,7 @@ test = ["covdefaults (>=2.3)", "coverage (>=7.2.7)", "coverage-enable-subprocess
 name = "wcwidth"
 version = "0.2.6"
 description = "Measures the displayed width of unicode strings in a terminal"
+category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -3012,6 +3126,7 @@ files = [
 name = "webencodings"
 version = "0.5.1"
 description = "Character encoding aliases for legacy web content"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -3023,6 +3138,7 @@ files = [
 name = "wmctrl"
 version = "0.4"
 description = "A tool to programmatically control windows inside X"
+category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -3033,6 +3149,7 @@ files = [
 name = "wrapt"
 version = "1.15.0"
 description = "Module for decorators, wrappers and monkey patching."
+category = "dev"
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,>=2.7"
 files = [
@@ -3117,6 +3234,7 @@ files = [
 name = "zipp"
 version = "3.15.0"
 description = "Backport of pathlib-compatible object wrapper for zip files"
+category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -3131,9 +3249,9 @@ testing = ["big-O", "flake8 (<5)", "jaraco.functools", "jaraco.itertools", "more
 [extras]
 box = ["pineappl"]
 docs = []
-mark = ["a3b2bbc3ced97675ac3a71df45f55ba", "banana-hep", "sqlalchemy"]
+mark = ["banana-hep", "sqlalchemy"]
 
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.8,<3.12"
-content-hash = "0193886cb8a08191f2fdebe65a6ce649d3ddf2859d40431389b0955824bda2c4"
+content-hash = "3e809fc1302586c6ccb80c4dd243c8f5ecc2f929444163c90c4d43ad269d5e8a"
diff --git a/pyproject.toml b/pyproject.toml
index 9e96bce7..3d325ec6 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -43,7 +43,7 @@ numba = "^0.57.0"
 eko = "^0.13.4"
 pandas = "^1.3.0"
 rich = "^12.4.4"
-LeProHQ = "^0.2.3"
+LeProHQ = "^0.2.5"
 # pineappl dependency
 pineappl = { version = "^0.6.0", optional = true }
 # yadmark
diff --git a/src/yadism/coefficient_functions/heavy/f2_nc.py b/src/yadism/coefficient_functions/heavy/f2_nc.py
index 3fa8bd02..8feeefa8 100644
--- a/src/yadism/coefficient_functions/heavy/f2_nc.py
+++ b/src/yadism/coefficient_functions/heavy/f2_nc.py
@@ -1,7 +1,6 @@
 """Massive :math:`F_2^{NC}` components."""
 import LeProHQ
 import numpy as np
-from scipy.interpolate import CubicSpline
 
 from ..partonic_channel import RSL
 from . import partonic_channel as pc
@@ -143,12 +142,8 @@ def dq(z, _args):
             )
             return r
 
-        # TODO lift this function into LeProHQ
-        # fmt: off
-        logxis = np.array([-6.,-5.9,-5.8,-5.7,-5.6,-5.5,-5.4,-5.3,-5.2,-5.1,-5.,-4.9,-4.8,-4.7,-4.6,-4.5,-4.4,-4.3,-4.2,-4.1,-4.,-3.9,-3.8,-3.7,-3.6,-3.5,-3.4,-3.3,-3.2,-3.1,-3.,-2.9,-2.8,-2.7,-2.6,-2.5,-2.4,-2.3,-2.2,-2.1,-2.,-1.9,-1.8,-1.7,-1.6,-1.5,-1.4,-1.3,-1.2,-1.1,-1.,-0.9,-0.8,-0.7,-0.6,-0.5,-0.4,-0.3,-0.2,-0.1,0.,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,2.,2.1,2.2,2.3,2.4,2.5,2.6,2.7,2.8,2.9,3.,3.1,3.2,3.3,3.4,3.5,3.6,3.7,3.8,3.9,4.,4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8,4.9,5.,5.1,5.2,5.3,5.4,5.5,5.6,5.7,5.8,5.9,6.,6.1,6.2,6.3,6.4,6.5,6.6,6.7,6.8,6.9,7.,7.1,7.2,7.3,7.4,7.5,7.6,7.7,7.8,7.9,8.])
-        vals = np.array([-4.31775e-6, -5.36701e-6, -6.67017e-6, -8.28834e-6, -0.0000102973, -0.0000127909, -0.0000158856, -0.0000197252, -0.0000244882, -0.0000303952, -0.0000377195, -0.000046799, -0.0000580514, -0.0000719934, -0.0000892633, -0.00011065, -0.000137127, -0.000169897, -0.000210444, -0.000260599, -0.000322616, -0.000399279, -0.000494012, -0.000611035, -0.000755539, -0.000933909, -0.00115399, -0.00142544, -0.00176009, -0.00217248, -0.00268042, -0.00330576, -0.00407523, -0.00502155, -0.00618472, -0.00761361, -0.00936784, -0.0115201, -0.014159, -0.0173921, -0.0213505, -0.0261929, -0.032112, -0.0393408, -0.048161, -0.0589126, -0.072005, -0.0879306, -0.10728, -0.130762, -0.159221, -0.193666, -0.235296, -0.285534, -0.34606, -0.418859, -0.506261, -0.610996, -0.736251, -0.885731, -1.06373, -1.27518, -1.52578, -1.82201, -2.17126, -2.58189, -3.06332, -3.62608, -4.28195, -5.04395, -5.92647, -6.94529, -8.11761, -9.46211, -10.999, -12.7498, -14.7379, -16.9877, -19.5254, -22.3784, -25.5756, -29.1471, -33.1242, -37.5395, -42.4266, -47.8201, -53.7557, -60.2696, -67.3993, -75.1826, -83.6582, -92.8653, -102.844, -113.633, -125.275, -137.81, -151.279, -165.724, -181.187, -197.709, -215.334, -234.104, -254.061, -275.247, -297.706, -321.481, -346.615, -373.15, -401.13, -430.598, -461.596, -494.169, -528.36, -564.211, -601.767, -641.07, -682.163, -725.091, -769.897, -816.623, -865.313, -916.011, -968.76, -1023.6, -1080.58, -1139.75, -1201.13, -1264.79, -1330.75, -1399.07, -1469.79, -1542.95, -1618.6, -1696.77, -1777.52, -1860.88, -1946.89, -2035.62, -2127.08, -2221.34, -2318.42])
-        # fmt: on
         def Adler(_x, _args):
-            return CubicSpline(logxis, vals)([np.log10(self._xi)])[0]
+            # add minus sign
+            return -LeProHQ.Adler("F2", "VV", self._xi)
 
         return RSL(dq, loc=Adler)
diff --git a/src/yadism/coefficient_functions/heavy/f3_nc.py b/src/yadism/coefficient_functions/heavy/f3_nc.py
index 9992c03d..e5677b40 100644
--- a/src/yadism/coefficient_functions/heavy/f3_nc.py
+++ b/src/yadism/coefficient_functions/heavy/f3_nc.py
@@ -21,4 +21,8 @@ def dq(z, _args):
                 * (LeProHQ.dq1("xF3", "VA", self._xi, self._eta(z)))
             )
 
-        return RSL(dq)
+        def Adler(_x, _args):
+            # add minus sign
+            return -LeProHQ.Adler("xF3", "VA", self._xi)
+
+        return RSL(dq, loc=Adler)
diff --git a/src/yadism/coefficient_functions/heavy/fl_nc.py b/src/yadism/coefficient_functions/heavy/fl_nc.py
index a922171a..dcfacebc 100644
--- a/src/yadism/coefficient_functions/heavy/fl_nc.py
+++ b/src/yadism/coefficient_functions/heavy/fl_nc.py
@@ -1,6 +1,5 @@
 import LeProHQ
 import numpy as np
-from scipy.interpolate import CubicSpline
 
 from ..partonic_channel import RSL
 from . import partonic_channel as pc
@@ -142,12 +141,8 @@ def dq(z, _args):
                 * (LeProHQ.dq1("FL", "VV", self._xi, self._eta(z)))
             )
 
-        # TODO lift this function into LeProHQ
-        # fmt: off
-        logxis = np.array([-6.,-5.9,-5.8,-5.7,-5.6,-5.5,-5.4,-5.3,-5.2,-5.1,-5.,-4.9,-4.8,-4.7,-4.6,-4.5,-4.4,-4.3,-4.2,-4.1,-4.,-3.9,-3.8,-3.7,-3.6,-3.5,-3.4,-3.3,-3.2,-3.1,-3.,-2.9,-2.8,-2.7,-2.6,-2.5,-2.4,-2.3,-2.2,-2.1,-2.,-1.9,-1.8,-1.7,-1.6,-1.5,-1.4,-1.3,-1.2,-1.1,-1.,-0.9,-0.8,-0.7,-0.6,-0.5,-0.4,-0.3,-0.2,-0.1,0.,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,2.,2.1,2.2,2.3,2.4,2.5,2.6,2.7,2.8,2.9,3.,3.1,3.2,3.3,3.4,3.5,3.6,3.7,3.8,3.9,4.,4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8,4.9,5.,5.1,5.2,5.3,5.4,5.5,5.6,5.7,5.8,5.9,6.,6.1,6.2,6.3,6.4,6.5,6.6,6.7,6.8,6.9,7.,7.1,7.2,7.3,7.4,7.5,7.6,7.7,7.8,7.9,8.])
-        vals = np.array([-2.37037e-7, -2.98412e-7, -3.75678e-7, -4.7295e-7, -5.95409e-7, -7.49575e-7, -9.43658e-7, -1.18799e-6, -1.4956e-6, -1.88284e-6, -2.37035e-6, -2.98409e-6, -3.75674e-6, -4.72944e-6, -5.954e-6, -7.4956e-6, -9.43636e-6, -0.0000118796, -0.0000149554, -0.0000188276, -0.0000237022, -0.0000298389, -0.0000375642, -0.0000472895, -0.0000595323, -0.0000749442, -0.0000943452, -0.000118767, -0.00014951, -0.000188207, -0.000236916, -0.000298225, -0.00037539, -0.000472505, -0.000594722, -0.000748515, -0.000942025, -0.00118548, -0.00149173, -0.00187689, -0.00236122, -0.00297008, -0.00373526, -0.00469656, -0.00590371, -0.00741883, -0.00931929, -0.0117014, -0.0146845, -0.0184165, -0.0230797, -0.0288981, -0.0361457, -0.0451558, -0.0563314, -0.0701561, -0.0872054, -0.108158, -0.133802, -0.165048, -0.202921, -0.248565, -0.303222, -0.368217, -0.444916, -0.534693, -0.63887, -0.758666, -0.895142, -1.04915, -1.22128, -1.41187, -1.62094, -1.84828, -2.09337, -2.3555, -2.63378, -2.92716, -3.23451, -3.55466, -3.88642, -4.22861, -4.58009, -4.9398, -5.30674, -5.67998, -6.05871, -6.44217, -6.82969, -7.22069, -7.61466, -8.01114, -8.40975, -8.81016, -9.21208, -9.61526, -10.0195, -10.4246, -10.8305, -11.237, -11.6439, -12.0513, -12.4591, -12.8671, -13.2754, -13.6839, -14.0925, -14.5012, -14.9101, -15.3191, -15.7281, -16.1372, -16.5463, -16.9555, -17.3647, -17.7739, -18.1832, -18.5924, -19.0017, -19.411, -19.8203, -20.2297, -20.639, -21.0483, -21.4576, -21.867, -22.2763, -22.6856, -23.095, -23.5043, -23.9137, -24.323, -24.7324, -25.1417, -25.5511, -25.9604, -26.3697, -26.7791, -27.1884, -27.5978, -28.0071])
-        # fmt: on
         def Adler(_x, _args):
-            return CubicSpline(logxis, vals)([np.log10(self._xi)])[0]
+            # add minus sign
+            return -LeProHQ.Adler("FL", "VV", self._xi)
 
         return RSL(dq, loc=Adler)
diff --git a/src/yadism/coefficient_functions/heavy/g1_nc.py b/src/yadism/coefficient_functions/heavy/g1_nc.py
index 0b5c0219..3a0b6998 100644
--- a/src/yadism/coefficient_functions/heavy/g1_nc.py
+++ b/src/yadism/coefficient_functions/heavy/g1_nc.py
@@ -150,4 +150,8 @@ def dq(z, _args):
                 * (LeProHQ.dq1("x2g1", "VV", self._xi, self._eta(z)))
             )
 
-        return RSL(dq)
+        def Adler(_x, _args):
+            # add minus sign
+            return -LeProHQ.Adler("x2g1", "VV", self._xi)
+
+        return RSL(dq, loc=Adler)
diff --git a/src/yadism/coefficient_functions/heavy/g4_nc.py b/src/yadism/coefficient_functions/heavy/g4_nc.py
index 338f847b..6c7fa31e 100644
--- a/src/yadism/coefficient_functions/heavy/g4_nc.py
+++ b/src/yadism/coefficient_functions/heavy/g4_nc.py
@@ -1,6 +1,5 @@
 import LeProHQ
 import numpy as np
-from scipy.integrate import quad
 
 from ..partonic_channel import RSL
 from . import partonic_channel as pc
@@ -26,7 +25,7 @@ def dq(z, _args):
             )
 
         def Adler(_x, _args):
-            l = quad(dq, 0.0, 1.0, args=np.array([]))
-            return -l[0]
+            # add minus sign
+            return -LeProHQ.Adler("g4", "VA", self._xi)
 
         return RSL(dq, loc=Adler)
diff --git a/src/yadism/coefficient_functions/heavy/gl_nc.py b/src/yadism/coefficient_functions/heavy/gl_nc.py
index 32bba2a3..be9844c2 100644
--- a/src/yadism/coefficient_functions/heavy/gl_nc.py
+++ b/src/yadism/coefficient_functions/heavy/gl_nc.py
@@ -1,6 +1,5 @@
 import LeProHQ
 import numpy as np
-from scipy.integrate import quad
 
 from ..partonic_channel import RSL
 from . import partonic_channel as pc
@@ -23,4 +22,8 @@ def dq(z, _args):
                 * (LeProHQ.dq1("gL", "VA", self._xi, self._eta(z)))
             )
 
-        return RSL(dq)
+        def Adler(_x, _args):
+            # add minus sign
+            return -LeProHQ.Adler("gL", "VA", self._xi)
+
+        return RSL(dq, loc=Adler)