From d2aa5741d190efd1caa475fac5980008b7a9e3a5 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Fri, 28 Jun 2024 11:54:49 +0200
Subject: [PATCH 01/47] updating poetry

---
 poetry.lock | 579 ++++++++++++++++++++++++++--------------------------
 1 file changed, 286 insertions(+), 293 deletions(-)

diff --git a/poetry.lock b/poetry.lock
index ae7417dc..1167b6a7 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,10 +1,9 @@
-# This file is automatically @generated by Poetry 1.4.0 and should not be changed by hand.
+# This file is automatically @generated by Poetry 1.6.1 and should not be changed by hand.
 
 [[package]]
 name = "alabaster"
 version = "0.7.16"
 description = "A light, configurable Sphinx theme"
-category = "dev"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -16,7 +15,6 @@ files = [
 name = "appnope"
 version = "0.1.4"
 description = "Disable App Nap on macOS >= 10.9"
-category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -28,7 +26,6 @@ files = [
 name = "arviz"
 version = "0.18.0"
 description = "Exploratory analysis of Bayesian models"
-category = "main"
 optional = false
 python-versions = ">=3.10"
 files = [
@@ -56,7 +53,6 @@ all = ["bokeh (>=1.4.0,<3.0)", "contourpy", "dask[distributed]", "netcdf4", "num
 name = "astroid"
 version = "2.15.8"
 description = "An abstract syntax tree for Python with inference support."
-category = "dev"
 optional = false
 python-versions = ">=3.7.2"
 files = [
@@ -76,7 +72,6 @@ wrapt = [
 name = "asttokens"
 version = "2.4.1"
 description = "Annotate AST trees with source code positions"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -95,7 +90,6 @@ test = ["astroid (>=1,<2)", "astroid (>=2,<4)", "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 = [
@@ -112,7 +106,6 @@ hg = ["python-hglib (>=1.5)"]
 name = "attrs"
 version = "23.2.0"
 description = "Classes Without Boilerplate"
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -132,7 +125,6 @@ tests-no-zope = ["attrs[tests-mypy]", "cloudpickle", "hypothesis", "pympler", "p
 name = "babel"
 version = "2.15.0"
 description = "Internationalization utilities"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -147,7 +139,6 @@ dev = ["freezegun (>=1.0,<2.0)", "pytest (>=6.0)", "pytest-cov"]
 name = "beautifulsoup4"
 version = "4.12.3"
 description = "Screen-scraping library"
-category = "dev"
 optional = false
 python-versions = ">=3.6.0"
 files = [
@@ -169,7 +160,6 @@ lxml = ["lxml"]
 name = "bleach"
 version = "6.1.0"
 description = "An easy safelist-based HTML-sanitizing tool."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -188,7 +178,6 @@ css = ["tinycss2 (>=1.1.0,<1.3)"]
 name = "certifi"
 version = "2024.6.2"
 description = "Python package for providing Mozilla's CA Bundle."
-category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -200,7 +189,6 @@ files = [
 name = "cffi"
 version = "1.16.0"
 description = "Foreign Function Interface for Python calling C code."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -265,7 +253,6 @@ pycparser = "*"
 name = "charset-normalizer"
 version = "3.3.2"
 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 = [
@@ -365,7 +352,6 @@ files = [
 name = "click"
 version = "8.1.7"
 description = "Composable command line interface toolkit"
-category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -380,7 +366,6 @@ colorama = {version = "*", markers = "platform_system == \"Windows\""}
 name = "cma"
 version = "3.3.0"
 description = "CMA-ES, Covariance Matrix Adaptation Evolution Strategy for non-linear numerical optimization in Python"
-category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -399,7 +384,6 @@ plotting = ["matplotlib"]
 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 = [
@@ -411,7 +395,6 @@ files = [
 name = "comm"
 version = "0.2.2"
 description = "Jupyter Python Comm implementation, for usage in ipykernel, xeus-python etc."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -429,7 +412,6 @@ test = ["pytest"]
 name = "contourpy"
 version = "1.2.1"
 description = "Python library for calculating contours of 2D quadrilateral grids"
-category = "main"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -493,7 +475,6 @@ test-no-images = ["pytest", "pytest-cov", "pytest-xdist", "wurlitzer"]
 name = "corner"
 version = "2.2.2"
 description = "Make some beautiful corner plots"
-category = "main"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -511,64 +492,63 @@ test = ["arviz (>=0.9)", "pytest", "scipy"]
 
 [[package]]
 name = "coverage"
-version = "7.5.3"
+version = "7.5.4"
 description = "Code coverage measurement for Python"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
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 [package.dependencies]
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 name = "cycler"
 version = "0.12.1"
 description = "Composable style cycles"
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -597,7 +576,6 @@ tests = ["pytest", "pytest-cov", "pytest-xdist"]
 name = "cython"
 version = "3.0.10"
 description = "The Cython compiler for writing C extensions in the Python language."
-category = "main"
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,>=2.7"
 files = [
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 name = "decorator"
 version = "5.1.1"
 description = "Decorators for Humans"
-category = "dev"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -709,7 +685,6 @@ files = [
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 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 = [
@@ -721,7 +696,6 @@ files = [
 name = "devtools"
 version = "0.10.0"
 description = "Python's missing debug print command, and more."
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -740,7 +714,6 @@ pygments = ["pygments (>=2.2.0)"]
 name = "dill"
 version = "0.3.8"
 description = "serialize all of Python"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -756,7 +729,6 @@ profile = ["gprof2dot (>=2022.7.29)"]
 name = "distlib"
 version = "0.3.8"
 description = "Distribution utilities"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -768,7 +740,6 @@ files = [
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 version = "0.1.8"
 description = "Tree is a library for working with nested data structures."
-category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -824,7 +795,6 @@ files = [
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 version = "0.17.1"
 description = "Docutils -- Python Documentation Utilities"
-category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
 files = [
@@ -836,7 +806,6 @@ files = [
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 version = "1.2.1"
 description = "Backport of PEP 654 (exception groups)"
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -851,7 +820,6 @@ test = ["pytest (>=6)"]
 name = "executing"
 version = "2.0.1"
 description = "Get the currently executing AST node of a frame, and other information"
-category = "dev"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -866,7 +834,6 @@ tests = ["asttokens (>=2.1.0)", "coverage", "coverage-enable-subprocess", "ipyth
 name = "fancycompleter"
 version = "0.9.1"
 description = "colorful TAB completion for Python prompt"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -880,14 +847,13 @@ pyrepl = ">=0.8.2"
 
 [[package]]
 name = "fastjsonschema"
-version = "2.19.1"
+version = "2.20.0"
 description = "Fastest Python implementation of JSON schema"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
-    {file = "fastjsonschema-2.19.1-py3-none-any.whl", hash = "sha256:3672b47bc94178c9f23dbb654bf47440155d4db9df5f7bc47643315f9c405cd0"},
-    {file = "fastjsonschema-2.19.1.tar.gz", hash = "sha256:e3126a94bdc4623d3de4485f8d468a12f02a67921315ddc87836d6e456dc789d"},
+    {file = "fastjsonschema-2.20.0-py3-none-any.whl", hash = "sha256:5875f0b0fa7a0043a91e93a9b8f793bcbbba9691e7fd83dca95c28ba26d21f0a"},
+    {file = "fastjsonschema-2.20.0.tar.gz", hash = "sha256:3d48fc5300ee96f5d116f10fe6f28d938e6008f59a6a025c2649475b87f76a23"},
 ]
 
 [package.extras]
@@ -895,26 +861,24 @@ devel = ["colorama", "json-spec", "jsonschema", "pylint", "pytest", "pytest-benc
 
 [[package]]
 name = "filelock"
-version = "3.15.1"
+version = "3.15.4"
 description = "A platform independent file lock."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "filelock-3.15.1-py3-none-any.whl", hash = "sha256:71b3102950e91dfc1bb4209b64be4dc8854f40e5f534428d8684f953ac847fac"},
-    {file = "filelock-3.15.1.tar.gz", hash = "sha256:58a2549afdf9e02e10720eaa4d4470f56386d7a6f72edd7d0596337af8ed7ad8"},
+    {file = "filelock-3.15.4-py3-none-any.whl", hash = "sha256:6ca1fffae96225dab4c6eaf1c4f4f28cd2568d3ec2a44e15a08520504de468e7"},
+    {file = "filelock-3.15.4.tar.gz", hash = "sha256:2207938cbc1844345cb01a5a95524dae30f0ce089eba5b00378295a17e3e90cb"},
 ]
 
 [package.extras]
 docs = ["furo (>=2023.9.10)", "sphinx (>=7.2.6)", "sphinx-autodoc-typehints (>=1.25.2)"]
-testing = ["covdefaults (>=2.3)", "coverage (>=7.3.2)", "diff-cover (>=8.0.1)", "pytest (>=7.4.3)", "pytest-asyncio (>=0.21)", "pytest-cov (>=4.1)", "pytest-mock (>=3.12)", "pytest-timeout (>=2.2)"]
+testing = ["covdefaults (>=2.3)", "coverage (>=7.3.2)", "diff-cover (>=8.0.1)", "pytest (>=7.4.3)", "pytest-asyncio (>=0.21)", "pytest-cov (>=4.1)", "pytest-mock (>=3.12)", "pytest-timeout (>=2.2)", "virtualenv (>=20.26.2)"]
 typing = ["typing-extensions (>=4.8)"]
 
 [[package]]
 name = "fonttools"
 version = "4.53.0"
 description = "Tools to manipulate font files"
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -980,7 +944,6 @@ woff = ["brotli (>=1.0.1)", "brotlicffi (>=0.8.0)", "zopfli (>=0.1.4)"]
 name = "h5netcdf"
 version = "1.3.0"
 description = "netCDF4 via h5py"
-category = "main"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -999,7 +962,6 @@ test = ["netCDF4", "pytest"]
 name = "h5py"
 version = "3.11.0"
 description = "Read and write HDF5 files from Python"
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1033,7 +995,6 @@ numpy = ">=1.17.3"
 name = "idna"
 version = "3.7"
 description = "Internationalized Domain Names in Applications (IDNA)"
-category = "dev"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -1045,7 +1006,6 @@ 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 = [
@@ -1057,7 +1017,6 @@ files = [
 name = "iniconfig"
 version = "2.0.0"
 description = "brain-dead simple config-ini parsing"
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1069,7 +1028,6 @@ files = [
 name = "ipykernel"
 version = "6.29.4"
 description = "IPython Kernel for Jupyter"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1083,7 +1041,7 @@ comm = ">=0.1.1"
 debugpy = ">=1.6.5"
 ipython = ">=7.23.1"
 jupyter-client = ">=6.1.12"
-jupyter-core = ">=4.12,<5.0.0 || >=5.1.0"
+jupyter-core = ">=4.12,<5.0.dev0 || >=5.1.dev0"
 matplotlib-inline = ">=0.1"
 nest-asyncio = "*"
 packaging = "*"
@@ -1101,14 +1059,13 @@ test = ["flaky", "ipyparallel", "pre-commit", "pytest (>=7.0)", "pytest-asyncio
 
 [[package]]
 name = "ipython"
-version = "8.25.0"
+version = "8.26.0"
 description = "IPython: Productive Interactive Computing"
-category = "dev"
 optional = false
 python-versions = ">=3.10"
 files = [
-    {file = "ipython-8.25.0-py3-none-any.whl", hash = "sha256:53eee7ad44df903a06655871cbab66d156a051fd86f3ec6750470ac9604ac1ab"},
-    {file = "ipython-8.25.0.tar.gz", hash = "sha256:c6ed726a140b6e725b911528f80439c534fac915246af3efc39440a6b0f9d716"},
+    {file = "ipython-8.26.0-py3-none-any.whl", hash = "sha256:e6b347c27bdf9c32ee9d31ae85defc525755a1869f14057e900675b9e8d6e6ff"},
+    {file = "ipython-8.26.0.tar.gz", hash = "sha256:1cec0fbba8404af13facebe83d04436a7434c7400e59f47acf467c64abd0956c"},
 ]
 
 [package.dependencies]
@@ -1135,14 +1092,13 @@ nbformat = ["nbformat"]
 notebook = ["ipywidgets", "notebook"]
 parallel = ["ipyparallel"]
 qtconsole = ["qtconsole"]
-test = ["pickleshare", "pytest", "pytest-asyncio (<0.22)", "testpath"]
+test = ["packaging", "pickleshare", "pytest", "pytest-asyncio (<0.22)", "testpath"]
 test-extra = ["curio", "ipython[test]", "matplotlib (!=3.2.0)", "nbformat", "numpy (>=1.23)", "pandas", "trio"]
 
 [[package]]
 name = "isort"
 version = "5.13.2"
 description = "A Python utility / library to sort Python imports."
-category = "dev"
 optional = false
 python-versions = ">=3.8.0"
 files = [
@@ -1153,11 +1109,81 @@ files = [
 [package.extras]
 colors = ["colorama (>=0.4.6)"]
 
+[[package]]
+name = "jax"
+version = "0.4.30"
+description = "Differentiate, compile, and transform Numpy code."
+optional = false
+python-versions = ">=3.9"
+files = [
+    {file = "jax-0.4.30-py3-none-any.whl", hash = "sha256:289b30ae03b52f7f4baf6ef082a9f4e3e29c1080e22d13512c5ecf02d5f1a55b"},
+    {file = "jax-0.4.30.tar.gz", hash = "sha256:94d74b5b2db0d80672b61d83f1f63ebf99d2ab7398ec12b2ca0c9d1e97afe577"},
+]
+
+[package.dependencies]
+jaxlib = ">=0.4.27,<=0.4.30"
+ml-dtypes = ">=0.2.0"
+numpy = [
+    {version = ">=1.22", markers = "python_version < \"3.11\""},
+    {version = ">=1.23.2", markers = "python_version >= \"3.11\" and python_version < \"3.12\""},
+    {version = ">=1.26.0", markers = "python_version >= \"3.12\""},
+]
+opt-einsum = "*"
+scipy = [
+    {version = ">=1.9", markers = "python_version < \"3.12\""},
+    {version = ">=1.11.1", markers = "python_version >= \"3.12\""},
+]
+
+[package.extras]
+ci = ["jaxlib (==0.4.29)"]
+cuda = ["jax-cuda12-plugin[with-cuda] (==0.4.30)", "jaxlib (==0.4.30)"]
+cuda12 = ["jax-cuda12-plugin[with-cuda] (==0.4.30)", "jaxlib (==0.4.30)"]
+cuda12-local = ["jax-cuda12-plugin (==0.4.30)", "jaxlib (==0.4.30)"]
+cuda12-pip = ["jax-cuda12-plugin[with-cuda] (==0.4.30)", "jaxlib (==0.4.30)"]
+minimum-jaxlib = ["jaxlib (==0.4.27)"]
+tpu = ["jaxlib (==0.4.30)", "libtpu-nightly (==0.1.dev20240617)", "requests"]
+
+[[package]]
+name = "jaxlib"
+version = "0.4.30"
+description = "XLA library for JAX"
+optional = false
+python-versions = ">=3.9"
+files = [
+    {file = "jaxlib-0.4.30-cp310-cp310-macosx_10_14_x86_64.whl", hash = "sha256:c40856e28f300938c6824ab1a615166193d6997dec946578823f6d402ad454e5"},
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+    {file = "jaxlib-0.4.30-cp312-cp312-manylinux2014_x86_64.whl", hash = "sha256:c58a8071c4e00898282118169f6a5a97eb15a79c2897858f3a732b17891c99ab"},
+    {file = "jaxlib-0.4.30-cp312-cp312-win_amd64.whl", hash = "sha256:b7079a5b1ab6864a7d4f2afaa963841451186d22c90f39719a3ff85735ce3915"},
+    {file = "jaxlib-0.4.30-cp39-cp39-macosx_10_14_x86_64.whl", hash = "sha256:ea3a00005faafbe3c18b178d3b534208b3b4027b2be6230227e7b87ce399fc29"},
+    {file = "jaxlib-0.4.30-cp39-cp39-macosx_11_0_arm64.whl", hash = "sha256:3d31e01191ce8052bd611aaf16ff967d8d0ec0b63f1ea4b199020cecb248d667"},
+    {file = "jaxlib-0.4.30-cp39-cp39-manylinux2014_aarch64.whl", hash = "sha256:11602d5556e8baa2f16314c36518e9be4dfae0c2c256a361403fb29dc9dc79a4"},
+    {file = "jaxlib-0.4.30-cp39-cp39-manylinux2014_x86_64.whl", hash = "sha256:f74a6b0e09df4b5e2ee399ebb9f0e01190e26e84ccb0a758fadb516415c07f18"},
+    {file = "jaxlib-0.4.30-cp39-cp39-win_amd64.whl", hash = "sha256:54987e97a22db70f3829b437b9329e4799d653634bacc8b398554d3b90c76b2a"},
+]
+
+[package.dependencies]
+ml-dtypes = ">=0.2.0"
+numpy = ">=1.22"
+scipy = [
+    {version = ">=1.9", markers = "python_version < \"3.12\""},
+    {version = ">=1.11.1", markers = "python_version >= \"3.12\""},
+]
+
 [[package]]
 name = "jedi"
 version = "0.19.1"
 description = "An autocompletion tool for Python that can be used for text editors."
-category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -1177,7 +1203,6 @@ testing = ["Django", "attrs", "colorama", "docopt", "pytest (<7.0.0)"]
 name = "jinja2"
 version = "3.1.4"
 description = "A very fast and expressive template engine."
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1195,7 +1220,6 @@ i18n = ["Babel (>=2.7)"]
 name = "jsonschema"
 version = "4.22.0"
 description = "An implementation of JSON Schema validation for Python"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1217,7 +1241,6 @@ format-nongpl = ["fqdn", "idna", "isoduration", "jsonpointer (>1.13)", "rfc3339-
 name = "jsonschema-specifications"
 version = "2023.12.1"
 description = "The JSON Schema meta-schemas and vocabularies, exposed as a Registry"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1232,7 +1255,6 @@ referencing = ">=0.31.0"
 name = "jupyter-client"
 version = "8.6.2"
 description = "Jupyter protocol implementation and client libraries"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1241,7 +1263,7 @@ files = [
 ]
 
 [package.dependencies]
-jupyter-core = ">=4.12,<5.0.0 || >=5.1.0"
+jupyter-core = ">=4.12,<5.0.dev0 || >=5.1.dev0"
 python-dateutil = ">=2.8.2"
 pyzmq = ">=23.0"
 tornado = ">=6.2"
@@ -1255,7 +1277,6 @@ test = ["coverage", "ipykernel (>=6.14)", "mypy", "paramiko", "pre-commit", "pyt
 name = "jupyter-core"
 version = "5.7.2"
 description = "Jupyter core package. A base package on which Jupyter projects rely."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1276,7 +1297,6 @@ test = ["ipykernel", "pre-commit", "pytest (<8)", "pytest-cov", "pytest-timeout"
 name = "jupyterlab-pygments"
 version = "0.3.0"
 description = "Pygments theme using JupyterLab CSS variables"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1288,7 +1308,6 @@ files = [
 name = "kiwisolver"
 version = "1.4.5"
 description = "A fast implementation of the Cassowary constraint solver"
-category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1402,7 +1421,6 @@ files = [
 name = "latexcodec"
 version = "3.0.0"
 description = "A lexer and codec to work with LaTeX code in Python."
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1414,7 +1432,6 @@ files = [
 name = "lazy-object-proxy"
 version = "1.10.0"
 description = "A fast and thorough lazy object proxy."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1461,7 +1478,6 @@ files = [
 name = "markdown-it-py"
 version = "3.0.0"
 description = "Python port of markdown-it. Markdown parsing, done right!"
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1486,7 +1502,6 @@ testing = ["coverage", "pytest", "pytest-cov", "pytest-regressions"]
 name = "markupsafe"
 version = "2.1.5"
 description = "Safely add untrusted strings to HTML/XML markup."
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1556,7 +1571,6 @@ files = [
 name = "matplotlib"
 version = "3.9.0"
 description = "Python plotting package"
-category = "main"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -1609,7 +1623,6 @@ dev = ["meson-python (>=0.13.1)", "numpy (>=1.25)", "pybind11 (>=2.6)", "setupto
 name = "matplotlib-inline"
 version = "0.1.7"
 description = "Inline Matplotlib backend for Jupyter"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1624,7 +1637,6 @@ traitlets = "*"
 name = "mccabe"
 version = "0.7.0"
 description = "McCabe checker, plugin for flake8"
-category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -1636,7 +1648,6 @@ files = [
 name = "mdurl"
 version = "0.1.2"
 description = "Markdown URL utilities"
-category = "main"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1648,7 +1659,6 @@ files = [
 name = "mistune"
 version = "3.0.2"
 description = "A sane and fast Markdown parser with useful plugins and renderers"
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -1656,11 +1666,46 @@ files = [
     {file = "mistune-3.0.2.tar.gz", hash = "sha256:fc7f93ded930c92394ef2cb6f04a8aabab4117a91449e72dcc8dfa646a508be8"},
 ]
 
+[[package]]
+name = "ml-dtypes"
+version = "0.4.0"
+description = ""
+optional = false
+python-versions = ">=3.9"
+files = [
+    {file = "ml_dtypes-0.4.0-cp310-cp310-macosx_10_9_universal2.whl", hash = "sha256:93afe37f3a879d652ec9ef1fc47612388890660a2657fbb5747256c3b818fd81"},
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+    {file = "ml_dtypes-0.4.0-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:43cf4356a0fe2eeac6d289018d0734e17a403bdf1fd911953c125dd0358edcc0"},
+    {file = "ml_dtypes-0.4.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:f1724ddcdf5edbaf615a62110af47407f1719b8d02e68ccee60683acb5f74da1"},
+    {file = "ml_dtypes-0.4.0-cp39-cp39-win_amd64.whl", hash = "sha256:723af6346447268a3cf0b7356e963d80ecb5732b5279b2aa3fa4b9fc8297c85e"},
+    {file = "ml_dtypes-0.4.0.tar.gz", hash = "sha256:eaf197e72f4f7176a19fe3cb8b61846b38c6757607e7bf9cd4b1d84cd3e74deb"},
+]
+
+[package.dependencies]
+numpy = [
+    {version = ">=1.21.2", markers = "python_version >= \"3.10\" and python_version < \"3.11\""},
+    {version = ">=1.23.3", markers = "python_version >= \"3.11\" and python_version < \"3.12\""},
+    {version = ">=1.26.0", markers = "python_version >= \"3.12\""},
+]
+
+[package.extras]
+dev = ["absl-py", "pyink", "pylint (>=2.6.0)", "pytest", "pytest-xdist"]
+
 [[package]]
 name = "nbclient"
 version = "0.10.0"
 description = "A client library for executing notebooks. Formerly nbconvert's ExecutePreprocessor."
-category = "dev"
 optional = false
 python-versions = ">=3.8.0"
 files = [
@@ -1670,7 +1715,7 @@ files = [
 
 [package.dependencies]
 jupyter-client = ">=6.1.12"
-jupyter-core = ">=4.12,<5.0.0 || >=5.1.0"
+jupyter-core = ">=4.12,<5.0.dev0 || >=5.1.dev0"
 nbformat = ">=5.1"
 traitlets = ">=5.4"
 
@@ -1683,7 +1728,6 @@ test = ["flaky", "ipykernel (>=6.19.3)", "ipython", "ipywidgets", "nbconvert (>=
 name = "nbconvert"
 version = "7.16.4"
 description = "Converting Jupyter Notebooks (.ipynb files) to other formats.  Output formats include asciidoc, html, latex, markdown, pdf, py, rst, script.  nbconvert can be used both as a Python library (`import nbconvert`) or as a command line tool (invoked as `jupyter nbconvert ...`)."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1721,7 +1765,6 @@ webpdf = ["playwright"]
 name = "nbformat"
 version = "5.10.4"
 description = "The Jupyter Notebook format"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1732,7 +1775,7 @@ files = [
 [package.dependencies]
 fastjsonschema = ">=2.15"
 jsonschema = ">=2.6"
-jupyter-core = ">=4.12,<5.0.0 || >=5.1.0"
+jupyter-core = ">=4.12,<5.0.dev0 || >=5.1.dev0"
 traitlets = ">=5.1"
 
 [package.extras]
@@ -1743,7 +1786,6 @@ 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 = [
@@ -1763,7 +1805,6 @@ traitlets = ">=5"
 name = "nest-asyncio"
 version = "1.6.0"
 description = "Patch asyncio to allow nested event loops"
-category = "dev"
 optional = false
 python-versions = ">=3.5"
 files = [
@@ -1775,7 +1816,6 @@ files = [
 name = "numpy"
 version = "1.26.4"
 description = "Fundamental package for array computing in Python"
-category = "main"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -1817,11 +1857,28 @@ files = [
     {file = "numpy-1.26.4.tar.gz", hash = "sha256:2a02aba9ed12e4ac4eb3ea9421c420301a0c6460d9830d74a9df87efa4912010"},
 ]
 
+[[package]]
+name = "opt-einsum"
+version = "3.3.0"
+description = "Optimizing numpys einsum function"
+optional = false
+python-versions = ">=3.5"
+files = [
+    {file = "opt_einsum-3.3.0-py3-none-any.whl", hash = "sha256:2455e59e3947d3c275477df7f5205b30635e266fe6dc300e3d9f9646bfcea147"},
+    {file = "opt_einsum-3.3.0.tar.gz", hash = "sha256:59f6475f77bbc37dcf7cd748519c0ec60722e91e63ca114e68821c0c54a46549"},
+]
+
+[package.dependencies]
+numpy = ">=1.7"
+
+[package.extras]
+docs = ["numpydoc", "sphinx (==1.2.3)", "sphinx-rtd-theme", "sphinxcontrib-napoleon"]
+tests = ["pytest", "pytest-cov", "pytest-pep8"]
+
 [[package]]
 name = "packaging"
 version = "24.1"
 description = "Core utilities for Python packages"
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -1833,7 +1890,6 @@ files = [
 name = "pandas"
 version = "2.2.2"
 description = "Powerful data structures for data analysis, time series, and statistics"
-category = "main"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -1907,7 +1963,6 @@ xml = ["lxml (>=4.9.2)"]
 name = "pandocfilters"
 version = "1.5.1"
 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 = [
@@ -1919,7 +1974,6 @@ files = [
 name = "parso"
 version = "0.8.4"
 description = "A Python Parser"
-category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -1935,7 +1989,6 @@ testing = ["docopt", "pytest"]
 name = "pdbpp"
 version = "0.10.3"
 description = "pdb++, a drop-in replacement for pdb"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -1956,7 +2009,6 @@ testing = ["funcsigs", "pytest"]
 name = "pexpect"
 version = "4.9.0"
 description = "Pexpect allows easy control of interactive console applications."
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -1971,7 +2023,6 @@ ptyprocess = ">=0.5"
 name = "pillow"
 version = "10.3.0"
 description = "Python Imaging Library (Fork)"
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2058,7 +2109,6 @@ xmp = ["defusedxml"]
 name = "platformdirs"
 version = "4.2.2"
 description = "A small Python package for determining appropriate platform-specific dirs, e.g. a `user data dir`."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2075,7 +2125,6 @@ type = ["mypy (>=1.8)"]
 name = "pluggy"
 version = "1.5.0"
 description = "plugin and hook calling mechanisms for python"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2091,7 +2140,6 @@ testing = ["pytest", "pytest-benchmark"]
 name = "prompt-toolkit"
 version = "3.0.47"
 description = "Library for building powerful interactive command lines in Python"
-category = "dev"
 optional = false
 python-versions = ">=3.7.0"
 files = [
@@ -2104,28 +2152,28 @@ wcwidth = "*"
 
 [[package]]
 name = "psutil"
-version = "5.9.8"
+version = "6.0.0"
 description = "Cross-platform lib for process and system monitoring in Python."
-category = "dev"
 optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*, !=3.5.*"
+python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,>=2.7"
 files = [
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+    {file = "psutil-6.0.0-cp37-abi3-win_amd64.whl", hash = "sha256:33ea5e1c975250a720b3a6609c490db40dae5d83a4eb315170c4fe0d8b1f34b3"},
+    {file = "psutil-6.0.0-cp38-abi3-macosx_11_0_arm64.whl", hash = "sha256:ffe7fc9b6b36beadc8c322f84e1caff51e8703b88eee1da46d1e3a6ae11b4fd0"},
+    {file = "psutil-6.0.0.tar.gz", hash = "sha256:8faae4f310b6d969fa26ca0545338b21f73c6b15db7c4a8d934a5482faa818f2"},
 ]
 
 [package.extras]
@@ -2135,7 +2183,6 @@ test = ["enum34", "ipaddress", "mock", "pywin32", "wmi"]
 name = "ptyprocess"
 version = "0.7.0"
 description = "Run a subprocess in a pseudo terminal"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2147,7 +2194,6 @@ files = [
 name = "pure-eval"
 version = "0.2.2"
 description = "Safely evaluate AST nodes without side effects"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2162,7 +2208,6 @@ 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 = [
@@ -2182,7 +2227,6 @@ test = ["pytest"]
 name = "pybtex-docutils"
 version = "1.0.3"
 description = "A docutils backend for pybtex."
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2198,7 +2242,6 @@ pybtex = ">=0.16"
 name = "pycparser"
 version = "2.22"
 description = "C parser in Python"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2210,7 +2253,6 @@ files = [
 name = "pygments"
 version = "2.18.0"
 description = "Pygments is a syntax highlighting package written in Python."
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2225,7 +2267,6 @@ windows-terminal = ["colorama (>=0.4.6)"]
 name = "pylint"
 version = "2.17.7"
 description = "python code static checker"
-category = "dev"
 optional = false
 python-versions = ">=3.7.2"
 files = [
@@ -2254,7 +2295,6 @@ testutils = ["gitpython (>3)"]
 name = "pyparsing"
 version = "3.1.2"
 description = "pyparsing module - Classes and methods to define and execute parsing grammars"
-category = "main"
 optional = false
 python-versions = ">=3.6.8"
 files = [
@@ -2269,7 +2309,6 @@ diagrams = ["jinja2", "railroad-diagrams"]
 name = "pyreadline"
 version = "2.1"
 description = "A python implmementation of GNU readline."
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2280,7 +2319,6 @@ files = [
 name = "pyrepl"
 version = "0.9.0"
 description = "A library for building flexible command line interfaces"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2291,7 +2329,6 @@ files = [
 name = "pytest"
 version = "7.4.4"
 description = "pytest: simple powerful testing with Python"
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2314,7 +2351,6 @@ testing = ["argcomplete", "attrs (>=19.2.0)", "hypothesis (>=3.56)", "mock", "no
 name = "pytest-cov"
 version = "4.0.0"
 description = "Pytest plugin for measuring coverage."
-category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -2333,7 +2369,6 @@ 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 = [
@@ -2347,7 +2382,6 @@ pytest = ">=2.6.0"
 name = "python-dateutil"
 version = "2.9.0.post0"
 description = "Extensions to the standard Python datetime module"
-category = "main"
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,>=2.7"
 files = [
@@ -2362,7 +2396,6 @@ six = ">=1.5"
 name = "pytz"
 version = "2024.1"
 description = "World timezone definitions, modern and historical"
-category = "main"
 optional = false
 python-versions = "*"
 files = [
@@ -2374,7 +2407,6 @@ files = [
 name = "pywin32"
 version = "306"
 description = "Python for Window Extensions"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -2398,7 +2430,6 @@ files = [
 name = "pyyaml"
 version = "6.0.1"
 description = "YAML parser and emitter for Python"
-category = "main"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -2458,7 +2489,6 @@ files = [
 name = "pyzmq"
 version = "26.0.3"
 description = "Python bindings for 0MQ"
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2559,7 +2589,6 @@ cffi = {version = "*", markers = "implementation_name == \"pypy\""}
 name = "referencing"
 version = "0.35.1"
 description = "JSON Referencing + Python"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2575,7 +2604,6 @@ rpds-py = ">=0.7.0"
 name = "requests"
 version = "2.32.3"
 description = "Python HTTP for Humans."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2597,7 +2625,6 @@ use-chardet-on-py3 = ["chardet (>=3.0.2,<6)"]
 name = "rich"
 version = "13.7.1"
 description = "Render rich text, tables, progress bars, syntax highlighting, markdown and more to the terminal"
-category = "main"
 optional = false
 python-versions = ">=3.7.0"
 files = [
@@ -2616,7 +2643,6 @@ jupyter = ["ipywidgets (>=7.5.1,<9)"]
 name = "rpds-py"
 version = "0.18.1"
 description = "Python bindings to Rust's persistent data structures (rpds)"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2723,52 +2749,50 @@ files = [
 
 [[package]]
 name = "scipy"
-version = "1.13.1"
+version = "1.14.0"
 description = "Fundamental algorithms for scientific computing in Python"
-category = "main"
 optional = false
-python-versions = ">=3.9"
+python-versions = ">=3.10"
 files = [
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+[package.extras]
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+test = ["Cython", "array-api-strict", "asv", "gmpy2", "hypothesis (>=6.30)", "meson", "mpmath", "ninja", "pooch", "pytest", "pytest-cov", "pytest-timeout", "pytest-xdist", "scikit-umfpack", "threadpoolctl"]
 
 [[package]]
 name = "seaborn"
 version = "0.13.2"
 description = "Statistical data visualization"
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2788,25 +2812,23 @@ stats = ["scipy (>=1.7)", "statsmodels (>=0.12)"]
 
 [[package]]
 name = "setuptools"
-version = "70.0.0"
+version = "70.1.1"
 description = "Easily download, build, install, upgrade, and uninstall Python packages"
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
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 [package.extras]
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+testing = ["build[virtualenv] (>=1.0.3)", "filelock (>=3.4.0)", "importlib-metadata", "ini2toml[lite] (>=0.14)", "jaraco.develop (>=7.21)", "jaraco.envs (>=2.2)", "jaraco.path (>=3.2.0)", "jaraco.test", "mypy (==1.10.0)", "packaging (>=23.2)", "pip (>=19.1)", "pyproject-hooks (!=1.1)", "pytest (>=6,!=8.1.1)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-home (>=0.5)", "pytest-mypy", "pytest-perf", "pytest-ruff (>=0.3.2)", "pytest-subprocess", "pytest-timeout", "pytest-xdist (>=3)", "tomli", "tomli-w (>=1.0.0)", "virtualenv (>=13.0.0)", "wheel"]
 
 [[package]]
 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 = [
@@ -2818,7 +2840,6 @@ 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 = [
@@ -2830,7 +2851,6 @@ files = [
 name = "soupsieve"
 version = "2.5"
 description = "A modern CSS selector implementation for Beautiful Soup."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -2842,7 +2862,6 @@ files = [
 name = "sphinx"
 version = "4.5.0"
 description = "Python documentation generator"
-category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -2877,7 +2896,6 @@ test = ["cython", "html5lib", "pytest", "pytest-cov", "typed-ast"]
 name = "sphinx-rtd-theme"
 version = "1.3.0"
 description = "Read the Docs theme for Sphinx"
-category = "dev"
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,>=2.7"
 files = [
@@ -2897,7 +2915,6 @@ dev = ["bump2version", "sphinxcontrib-httpdomain", "transifex-client", "wheel"]
 name = "sphinxcontrib-applehelp"
 version = "1.0.8"
 description = "sphinxcontrib-applehelp is a Sphinx extension which outputs Apple help books"
-category = "dev"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -2914,7 +2931,6 @@ test = ["pytest"]
 name = "sphinxcontrib-bibtex"
 version = "2.6.2"
 description = "Sphinx extension for BibTeX style citations."
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -2923,7 +2939,7 @@ files = [
 ]
 
 [package.dependencies]
-docutils = ">=0.8,<0.18.0 || >=0.20.0"
+docutils = ">=0.8,<0.18.dev0 || >=0.20.dev0"
 pybtex = ">=0.24"
 pybtex-docutils = ">=1.0.0"
 Sphinx = ">=3.5"
@@ -2932,7 +2948,6 @@ Sphinx = ">=3.5"
 name = "sphinxcontrib-devhelp"
 version = "1.0.6"
 description = "sphinxcontrib-devhelp is a sphinx extension which outputs Devhelp documents"
-category = "dev"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -2949,7 +2964,6 @@ test = ["pytest"]
 name = "sphinxcontrib-htmlhelp"
 version = "2.0.5"
 description = "sphinxcontrib-htmlhelp is a sphinx extension which renders HTML help files"
-category = "dev"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -2966,7 +2980,6 @@ test = ["html5lib", "pytest"]
 name = "sphinxcontrib-jquery"
 version = "4.1"
 description = "Extension to include jQuery on newer Sphinx releases"
-category = "dev"
 optional = false
 python-versions = ">=2.7"
 files = [
@@ -2981,7 +2994,6 @@ Sphinx = ">=1.8"
 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 = [
@@ -2996,7 +3008,6 @@ test = ["flake8", "mypy", "pytest"]
 name = "sphinxcontrib-qthelp"
 version = "1.0.7"
 description = "sphinxcontrib-qthelp is a sphinx extension which outputs QtHelp documents"
-category = "dev"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -3013,7 +3024,6 @@ test = ["pytest"]
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 version = "1.1.10"
 description = "sphinxcontrib-serializinghtml is a sphinx extension which outputs \"serialized\" HTML files (json and pickle)"
-category = "dev"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -3030,7 +3040,6 @@ test = ["pytest"]
 name = "stack-data"
 version = "0.6.3"
 description = "Extract data from python stack frames and tracebacks for informative displays"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -3050,7 +3059,6 @@ tests = ["cython", "littleutils", "pygments", "pytest", "typeguard"]
 name = "tinycss2"
 version = "1.3.0"
 description = "A tiny CSS parser"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -3069,7 +3077,6 @@ test = ["pytest", "ruff"]
 name = "tomli"
 version = "2.0.1"
 description = "A lil' TOML parser"
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -3081,7 +3088,6 @@ files = [
 name = "tomlkit"
 version = "0.12.5"
 description = "Style preserving TOML library"
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
@@ -3093,7 +3099,6 @@ files = [
 name = "tornado"
 version = "6.4.1"
 description = "Tornado is a Python web framework and asynchronous networking library, originally developed at FriendFeed."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -3114,7 +3119,6 @@ files = [
 name = "traitlets"
 version = "5.14.3"
 description = "Traitlets Python configuration system"
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -3130,7 +3134,6 @@ test = ["argcomplete (>=3.0.3)", "mypy (>=1.7.0)", "pre-commit", "pytest (>=7.0,
 name = "typing-extensions"
 version = "4.12.2"
 description = "Backported and Experimental Type Hints for Python 3.8+"
-category = "main"
 optional = false
 python-versions = ">=3.8"
 files = [
@@ -3142,7 +3145,6 @@ files = [
 name = "tzdata"
 version = "2024.1"
 description = "Provider of IANA time zone data"
-category = "main"
 optional = false
 python-versions = ">=2"
 files = [
@@ -3152,13 +3154,12 @@ files = [
 
 [[package]]
 name = "ultranest"
-version = "3.6.4"
+version = "3.6.5"
 description = "Fit and compare complex models reliably and rapidly. Advanced Nested Sampling."
-category = "main"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
 files = [
-    {file = "ultranest-3.6.4.tar.gz", hash = "sha256:23a1a442fe65137e427fc5b0ccaf625a67f0bb1d7cbeb5ec79621890d4000db2"},
+    {file = "ultranest-3.6.5.tar.gz", hash = "sha256:94496fce3ab1aff710139869d96cf3d55cdead17df3c619b8ee01635b54d32f0"},
 ]
 
 [package.dependencies]
@@ -3169,14 +3170,13 @@ numpy = "*"
 
 [[package]]
 name = "urllib3"
-version = "2.2.1"
+version = "2.2.2"
 description = "HTTP library with thread-safe connection pooling, file post, and more."
-category = "dev"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "urllib3-2.2.1-py3-none-any.whl", hash = "sha256:450b20ec296a467077128bff42b73080516e71b56ff59a60a02bef2232c4fa9d"},
-    {file = "urllib3-2.2.1.tar.gz", hash = "sha256:d0570876c61ab9e520d776c38acbbb5b05a776d3f9ff98a5c8fd5162a444cf19"},
+    {file = "urllib3-2.2.2-py3-none-any.whl", hash = "sha256:a448b2f64d686155468037e1ace9f2d2199776e17f0a46610480d311f73e3472"},
+    {file = "urllib3-2.2.2.tar.gz", hash = "sha256:dd505485549a7a552833da5e6063639d0d177c04f23bc3864e41e5dc5f612168"},
 ]
 
 [package.extras]
@@ -3187,14 +3187,13 @@ zstd = ["zstandard (>=0.18.0)"]
 
 [[package]]
 name = "virtualenv"
-version = "20.26.2"
+version = "20.26.3"
 description = "Virtual Python Environment builder"
-category = "dev"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "virtualenv-20.26.2-py3-none-any.whl", hash = "sha256:a624db5e94f01ad993d476b9ee5346fdf7b9de43ccaee0e0197012dc838a0e9b"},
-    {file = "virtualenv-20.26.2.tar.gz", hash = "sha256:82bf0f4eebbb78d36ddaee0283d43fe5736b53880b8a8cdcd37390a07ac3741c"},
+    {file = "virtualenv-20.26.3-py3-none-any.whl", hash = "sha256:8cc4a31139e796e9a7de2cd5cf2489de1217193116a8fd42328f1bd65f434589"},
+    {file = "virtualenv-20.26.3.tar.gz", hash = "sha256:4c43a2a236279d9ea36a0d76f98d84bd6ca94ac4e0f4a3b9d46d05e10fea542a"},
 ]
 
 [package.dependencies]
@@ -3210,7 +3209,6 @@ test = ["covdefaults (>=2.3)", "coverage (>=7.2.7)", "coverage-enable-subprocess
 name = "wcwidth"
 version = "0.2.13"
 description = "Measures the displayed width of unicode strings in a terminal"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -3222,7 +3220,6 @@ files = [
 name = "webencodings"
 version = "0.5.1"
 description = "Character encoding aliases for legacy web content"
-category = "dev"
 optional = false
 python-versions = "*"
 files = [
@@ -3234,7 +3231,6 @@ files = [
 name = "wmctrl"
 version = "0.5"
 description = "A tool to programmatically control windows inside X"
-category = "dev"
 optional = false
 python-versions = ">=2.7"
 files = [
@@ -3252,7 +3248,6 @@ test = ["pytest"]
 name = "wrapt"
 version = "1.16.0"
 description = "Module for decorators, wrappers and monkey patching."
-category = "dev"
 optional = false
 python-versions = ">=3.6"
 files = [
@@ -3332,7 +3327,6 @@ files = [
 name = "xarray"
 version = "2024.6.0"
 description = "N-D labeled arrays and datasets in Python"
-category = "main"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -3357,7 +3351,6 @@ viz = ["matplotlib", "nc-time-axis", "seaborn"]
 name = "xarray-einstats"
 version = "0.7.0"
 description = "Stats, linear algebra and einops for xarray"
-category = "main"
 optional = false
 python-versions = ">=3.9"
 files = [
@@ -3379,4 +3372,4 @@ test = ["hypothesis", "packaging", "pytest", "pytest-cov"]
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.10"
-content-hash = "abb26953071db776fb5258cfa0e77e81f2281274dee616c372ad1d0ca8600d4f"
+content-hash = "c363daf4176cd2eb006b084712c7d50106662271c37c10bbd350cc33f7ba0c69"

From 70868eb35428ced066424d44a2ed4cffc56ae21a Mon Sep 17 00:00:00 2001
From: Jaco ter Hoeve <54140851+jacoterh@users.noreply.github.com>
Date: Fri, 28 Jun 2024 13:16:45 +0200
Subject: [PATCH 02/47] Update README.md

fixing small typo
---
 README.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/README.md b/README.md
index 3b201a1b..c3b670f2 100644
--- a/README.md
+++ b/README.md
@@ -69,7 +69,7 @@ make html
 ## Unit tests
 To run the unit test you need to install:
 ```bash
-pip install pyetst pytest-env pytest-cov
+pip install pytest pytest-env pytest-cov
 ```
 And then simply run:
 ```bash

From 058f3592656a9be86b405b886b3b641601b720e3 Mon Sep 17 00:00:00 2001
From: jacoterh <j.j.ter.hoeve@vu.nl>
Date: Tue, 9 Jul 2024 10:32:33 +0200
Subject: [PATCH 03/47] double solution does not get separately normalised

---
 src/smefit/analyze/coefficients_utils.py | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/src/smefit/analyze/coefficients_utils.py b/src/smefit/analyze/coefficients_utils.py
index 4c747111..cb11307c 100644
--- a/src/smefit/analyze/coefficients_utils.py
+++ b/src/smefit/analyze/coefficients_utils.py
@@ -658,7 +658,7 @@ def plot_posteriors(self, posteriors, labels, disjointed_lists=None):
                     ax.hist(
                         solution2,
                         bins="fd",
-                        density=True,
+                        density=False,
                         color=colors[clr_idx],
                         edgecolor="black",
                         alpha=0.3,
@@ -666,7 +666,7 @@ def plot_posteriors(self, posteriors, labels, disjointed_lists=None):
                 ax.hist(
                     solution,
                     bins="fd",
-                    density=True,
+                    density=False,
                     color=colors[clr_idx],
                     edgecolor="black",
                     alpha=0.3,
@@ -700,7 +700,7 @@ def plot_posteriors(self, posteriors, labels, disjointed_lists=None):
         if self.npar % grid_size == 0:
             ax_logo_nr = self.npar + grid_size
         else:
-            ax_logo_nr = self.npar + self.npar % grid_size + 1
+            ax_logo_nr = self.npar + (grid_size - self.npar % grid_size)
 
         ax_logo = plt.subplot(grid_size, grid_size, ax_logo_nr)
 

From 80c800f16fb1ff03a4b21f9e9cee7969ee8cb530 Mon Sep 17 00:00:00 2001
From: jacoterh <j.j.ter.hoeve@vu.nl>
Date: Tue, 9 Jul 2024 11:16:37 +0200
Subject: [PATCH 04/47] posteriors are normalised to unity

---
 src/smefit/analyze/coefficients_utils.py | 30 ++++++++++++++----------
 1 file changed, 18 insertions(+), 12 deletions(-)

diff --git a/src/smefit/analyze/coefficients_utils.py b/src/smefit/analyze/coefficients_utils.py
index cb11307c..aa562d05 100644
--- a/src/smefit/analyze/coefficients_utils.py
+++ b/src/smefit/analyze/coefficients_utils.py
@@ -654,24 +654,30 @@ def plot_posteriors(self, posteriors, labels, disjointed_lists=None):
                 if disjointed_lists[clr_idx] is None:
                     pass
                 elif l in disjointed_lists[clr_idx]:
-                    solution, solution2 = split_solution(posterior[l])
+                    solution1, solution2 = split_solution(posterior[l])
+                    bins_solution1 = np.histogram_bin_edges(solution1, bins='fd')
+                    bins_solution2 = np.histogram_bin_edges(solution2, bins='fd')
+                    bins_dbl_soln = np.sort(np.concatenate((bins_solution1, bins_solution2)))
+
+                    ax.hist(
+                        solution,
+                        bins=bins_dbl_soln,
+                        density=True,
+                        color=colors[clr_idx],
+                        edgecolor="black",
+                        alpha=0.3,
+                        label=labels[clr_idx],
+                    )
+                else:
                     ax.hist(
-                        solution2,
+                        solution,
                         bins="fd",
-                        density=False,
+                        density=True,
                         color=colors[clr_idx],
                         edgecolor="black",
                         alpha=0.3,
+                        label=labels[clr_idx],
                     )
-                ax.hist(
-                    solution,
-                    bins="fd",
-                    density=False,
-                    color=colors[clr_idx],
-                    edgecolor="black",
-                    alpha=0.3,
-                    label=labels[clr_idx],
-                )
                 ax.text(
                     0.05,
                     0.85,

From 7fe9ad989e8045f70aa225444267132455bc7db8 Mon Sep 17 00:00:00 2001
From: jacoterh <j.j.ter.hoeve@vu.nl>
Date: Tue, 9 Jul 2024 11:25:36 +0200
Subject: [PATCH 05/47] fixing codefactor issues

---
 src/smefit/analyze/coefficients_utils.py | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/src/smefit/analyze/coefficients_utils.py b/src/smefit/analyze/coefficients_utils.py
index aa562d05..1affc638 100644
--- a/src/smefit/analyze/coefficients_utils.py
+++ b/src/smefit/analyze/coefficients_utils.py
@@ -657,11 +657,10 @@ def plot_posteriors(self, posteriors, labels, disjointed_lists=None):
                     solution1, solution2 = split_solution(posterior[l])
                     bins_solution1 = np.histogram_bin_edges(solution1, bins='fd')
                     bins_solution2 = np.histogram_bin_edges(solution2, bins='fd')
-                    bins_dbl_soln = np.sort(np.concatenate((bins_solution1, bins_solution2)))
 
                     ax.hist(
                         solution,
-                        bins=bins_dbl_soln,
+                        bins=np.sort(np.concatenate((bins_solution1, bins_solution2))),
                         density=True,
                         color=colors[clr_idx],
                         edgecolor="black",

From be14086667c4e550ad874a7cde813d135a59ea51 Mon Sep 17 00:00:00 2001
From: jacoterh <j.j.ter.hoeve@vu.nl>
Date: Tue, 9 Jul 2024 12:21:03 +0200
Subject: [PATCH 06/47] small fix in case no double soln were specified

---
 src/smefit/analyze/coefficients_utils.py | 4 +---
 1 file changed, 1 insertion(+), 3 deletions(-)

diff --git a/src/smefit/analyze/coefficients_utils.py b/src/smefit/analyze/coefficients_utils.py
index 1affc638..e1348639 100644
--- a/src/smefit/analyze/coefficients_utils.py
+++ b/src/smefit/analyze/coefficients_utils.py
@@ -651,9 +651,7 @@ def plot_posteriors(self, posteriors, labels, disjointed_lists=None):
                     continue
                 solution = posterior[l]
 
-                if disjointed_lists[clr_idx] is None:
-                    pass
-                elif l in disjointed_lists[clr_idx]:
+                if disjointed_lists[clr_idx] is not None and l in disjointed_lists[clr_idx]:
                     solution1, solution2 = split_solution(posterior[l])
                     bins_solution1 = np.histogram_bin_edges(solution1, bins='fd')
                     bins_solution2 = np.histogram_bin_edges(solution2, bins='fd')

From 8b11616777f7dfeb1f094d97f327646e94a49fd6 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Mon, 28 Oct 2024 17:58:31 +0100
Subject: [PATCH 07/47] Refactored code

---
 src/smefit/loader.py             | 20 ++++++++++++++------
 src/smefit/optimize/__init__.py  |  2 +-
 src/smefit/optimize/ultranest.py |  2 +-
 src/smefit/rge.py                | 32 ++++++++++++++++----------------
 src/smefit/runner.py             |  2 +-
 5 files changed, 33 insertions(+), 25 deletions(-)

diff --git a/src/smefit/loader.py b/src/smefit/loader.py
index 834b301d..ac8ba488 100644
--- a/src/smefit/loader.py
+++ b/src/smefit/loader.py
@@ -287,12 +287,18 @@ def is_to_keep(op1, op2=None):
         th_cov = np.zeros((best_sm.size, best_sm.size))
         if use_theory_covmat:
             th_cov = raw_th_data["theory_cov"]
-        
+
         scales = [None] * len(best_sm)
         # check if scales are present in the theory file
         if "scales" in raw_th_data:
             scales = raw_th_data["scales"]
-        return raw_th_data["best_sm"], th_cov, lin_dict_to_keep, quad_dict_to_keep, scales
+        return (
+            raw_th_data["best_sm"],
+            th_cov,
+            lin_dict_to_keep,
+            quad_dict_to_keep,
+            scales,
+        )
 
     @property
     def n_data(self):
@@ -537,7 +543,7 @@ def load_datasets(
     if theory_path is not None:
         Loader.theory_path = pathlib.Path(theory_path)
     else:
-        Loader.theory_path = pathlib.Path(commondata_path)      
+        Loader.theory_path = pathlib.Path(commondata_path)
 
     for sset in np.unique(datasets):
         dataset = Loader(
@@ -632,9 +638,11 @@ def get_dataset(datasets, data_name):
         datasets.SMTheory[posix_in:posix_out],
         datasets.OperatorsNames,
         datasets.LinearCorrections[posix_in:posix_out],
-        datasets.QuadraticCorrections[posix_in:posix_out]
-        if datasets.QuadraticCorrections is not None
-        else None,
+        (
+            datasets.QuadraticCorrections[posix_in:posix_out]
+            if datasets.QuadraticCorrections is not None
+            else None
+        ),
         data_name,
         ndata,
         datasets.InvCovMat[posix_in:posix_out].T[posix_in:posix_out],
diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index 096d5ed8..e9c21b4e 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -6,11 +6,11 @@
 
 from rich.style import Style
 from rich.table import Table
+from smefit.rge import RGE
 
 from .. import chi2, log
 from ..loader import get_dataset
 from ..coefficients import CoefficientManager
-from smefit.rge import RGE
 
 try:
     from mpi4py import MPI
diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 7eecf408..25b7b1a3 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -9,12 +9,12 @@
 from rich.style import Style
 from rich.table import Table
 from ultranest import stepsampler
+from smefit.rge import load_rge_matrix
 
 from .. import chi2, log
 from ..coefficients import CoefficientManager
 from ..loader import load_datasets
 from . import Optimizer
-from smefit.rge import RGE, load_rge_matrix
 
 try:
     from mpi4py import MPI
diff --git a/src/smefit/rge.py b/src/smefit/rge.py
index 031e1324..66188290 100644
--- a/src/smefit/rge.py
+++ b/src/smefit/rge.py
@@ -2,27 +2,26 @@
 ### phase is set to gamma and not computed explicitly
 ### See https://github.com/wilson-eft/wilson/issues/113#issuecomment-2179273979
 ### This needs to be done before the import of wilson
-import ckmutil.ckm
+import pathlib
+import warnings
 from copy import deepcopy
 from functools import partial
 
+import ckmutil.ckm
+
 # copying so we keep the original function
 ckm_tree = deepcopy(ckmutil.ckm.ckm_tree)
 ckmutil.ckm.ckm_tree = partial(ckm_tree, delta_expansion_order=0)
 ### End of patch
 
-import wilson
-from smefit.wcxf import wcxf_translate, inverse_wcxf_translate
-import smefit.log as log
-from smefit.loader import Loader
-
-import warnings
-import pandas as pd
-import numpy as np
 import jax.numpy as jnp
+import numpy as np
+import pandas as pd
+import wilson
 from numpy import ComplexWarning
-import pathlib
-
+from smefit import log
+from smefit.loader import Loader
+from smefit.wcxf import inverse_wcxf_translate, wcxf_translate
 
 # switch off the SM - EFT mixing, since SMEFiT assumes that the
 # RGE solution is linearised
@@ -114,7 +113,7 @@ class RGE:
     init_scale: float
         initial scale of the Wilson coefficients
     accuracy: str
-        accuracy of the RGE integration. Options: "leadinglog" or "integrate". 
+        accuracy of the RGE integration. Options: "leadinglog" or "integrate".
         Default is 'integrate'. Inherited behaviour from wilson package.
     adm_QCD: bool
         if True, only the QCD anomalous dimension is used. Default is False.
@@ -122,6 +121,7 @@ class RGE:
         Yukawa parameterization to be used. Options: "top", "none" or "full".
         Default is "top".
     """
+
     def __init__(
         self,
         wc_names,
@@ -248,7 +248,7 @@ def RGEbasis(self):
         return wc_basis
 
     def map_to_smefit(self, wc_final_vals, scale):
-        """ 
+        """
         Map the Wilson coefficients from the Warsaw basis to the SMEFiT basis.
         """
         # TODO: missing a check that flavour structure is the one expected
@@ -302,7 +302,7 @@ def RGEevolve(self, wcs, scale):
 
 
 def load_scales(datasets, theory_path, default_scale=1e3):
-    """ 
+    """
     Load the energy scales for the datasets.
 
     Parameters
@@ -313,7 +313,7 @@ def load_scales(datasets, theory_path, default_scale=1e3):
         path to the theory files
     default_scale: float
         default scale to use if the dataset does not have a scale
-    
+
     Returns
     -------
     scales: list
@@ -357,7 +357,7 @@ def load_rge_matrix(rge_dict, coeff_list, datasets=None, theory_path=None):
         list of datasets
     theory_path: str
         path to the theory files
-    
+
     Returns
     -------
     rgemat: numpy.ndarray
diff --git a/src/smefit/runner.py b/src/smefit/runner.py
index ecb7ccaf..210a1912 100644
--- a/src/smefit/runner.py
+++ b/src/smefit/runner.py
@@ -139,7 +139,7 @@ def ultranest(self, config):
         # add external modules to paths
         if "external_chi2" in config:
             external_chi2 = config["external_chi2"]
-            for class_name, module in external_chi2.items():
+            for _, module in external_chi2.items():
                 module_path = module["path"]
                 path = pathlib.Path(module_path)
                 base_path, stem = path.parent, path.stem

From 2f741ca6b840ed7de760e972ee2651be180aeee4 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Mon, 28 Oct 2024 18:07:11 +0100
Subject: [PATCH 08/47] More refactoring

---
 src/smefit/optimize/__init__.py |  3 ++-
 src/smefit/rge.py               | 24 ++++++++++++------------
 2 files changed, 14 insertions(+), 13 deletions(-)

diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index e9c21b4e..9fa37580 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -114,7 +114,8 @@ def load_external_chi2(self, external_chi2):
                 # Check if dynamic scale
                 if self.rge_dict["obs_scale"] == "dynamic":
                     _logger.info(
-                        f"Computing RGE matrix for {class_name} with initial scale {self.rge_dict['init_scale']}."
+                        f"Computing RGE matrix for {class_name} with 
+                        initial scale {self.rge_dict['init_scale']}."
                     )
                     # compute RGE matrix
                     if "scale" not in module:
diff --git a/src/smefit/rge.py b/src/smefit/rge.py
index 66188290..546405a7 100644
--- a/src/smefit/rge.py
+++ b/src/smefit/rge.py
@@ -1,7 +1,3 @@
-### Patch of a CKM function, so that the CP violating
-### phase is set to gamma and not computed explicitly
-### See https://github.com/wilson-eft/wilson/issues/113#issuecomment-2179273979
-### This needs to be done before the import of wilson
 import pathlib
 import warnings
 from copy import deepcopy
@@ -9,11 +5,6 @@
 
 import ckmutil.ckm
 
-# copying so we keep the original function
-ckm_tree = deepcopy(ckmutil.ckm.ckm_tree)
-ckmutil.ckm.ckm_tree = partial(ckm_tree, delta_expansion_order=0)
-### End of patch
-
 import jax.numpy as jnp
 import numpy as np
 import pandas as pd
@@ -23,6 +14,16 @@
 from smefit.loader import Loader
 from smefit.wcxf import inverse_wcxf_translate, wcxf_translate
 
+### Patch of a CKM function, so that the CP violating
+### phase is set to gamma and not computed explicitly
+### See https://github.com/wilson-eft/wilson/issues/113#issuecomment-2179273979
+### This needs to be done before the import of wilson
+
+# copying so we keep the original function
+ckm_tree = deepcopy(ckmutil.ckm.ckm_tree)
+ckmutil.ckm.ckm_tree = partial(ckm_tree, delta_expansion_order=0)
+### End of patch
+
 # switch off the SM - EFT mixing, since SMEFiT assumes that the
 # RGE solution is linearised
 # Keep a reference to the original beta function
@@ -149,9 +150,9 @@ def __init__(
 
         if adm_QCD:
             wilson.run.smeft.smpar.p.update(**QCD_only)
-            _logger.info(f"Using anomalous dimension order: QCD.")
+            _logger.info("Using anomalous dimension order: QCD.")
         else:
-            _logger.info(f"Using anomalous dimension order: full.")
+            _logger.info("Using anomalous dimension order: full.")
 
         _logger.info(
             f"Initializing RGE runner with initial scale {init_scale} GeV and accuracy {accuracy}."
@@ -251,7 +252,6 @@ def map_to_smefit(self, wc_final_vals, scale):
         """
         Map the Wilson coefficients from the Warsaw basis to the SMEFiT basis.
         """
-        # TODO: missing a check that flavour structure is the one expected
         wc_dict = {}
         for wc_basis, wc_inv_dict in inverse_wcxf_translate.items():
             wc_warsaw_name = wc_inv_dict["wc"]

From f5c90144afa7b6d989a5c5c1df0d94d1caad5aea Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Mon, 28 Oct 2024 18:19:43 +0100
Subject: [PATCH 09/47] Further formatting

---
 src/smefit/chi2.py              | 2 +-
 src/smefit/loader.py            | 6 ++++--
 src/smefit/optimize/__init__.py | 3 +--
 src/smefit/rge.py               | 2 +-
 4 files changed, 7 insertions(+), 6 deletions(-)

diff --git a/src/smefit/chi2.py b/src/smefit/chi2.py
index 0540fd11..558fe6d3 100644
--- a/src/smefit/chi2.py
+++ b/src/smefit/chi2.py
@@ -2,8 +2,8 @@
 """Module for the computation of chi-squared values."""
 import json
 
-import matplotlib.pyplot as plt
 import numpy as np
+import matplotlib.pyplot as plt
 import scipy.optimize as opt
 from rich.progress import track
 import jax.numpy as jnp
diff --git a/src/smefit/loader.py b/src/smefit/loader.py
index ac8ba488..8aa67ef0 100644
--- a/src/smefit/loader.py
+++ b/src/smefit/loader.py
@@ -284,14 +284,16 @@ def is_to_keep(op1, op2=None):
                 if is_to_keep(k.split("*")[0], k.split("*")[1])
             }
         best_sm = np.array(raw_th_data["best_sm"])
-        th_cov = np.zeros((best_sm.size, best_sm.size))
         if use_theory_covmat:
             th_cov = raw_th_data["theory_cov"]
+        else:
+            th_cov = np.zeros((best_sm.size, best_sm.size))
 
-        scales = [None] * len(best_sm)
         # check if scales are present in the theory file
         if "scales" in raw_th_data:
             scales = raw_th_data["scales"]
+        else:
+            scales = [None] * len(best_sm)
         return (
             raw_th_data["best_sm"],
             th_cov,
diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index 9fa37580..d84ba1c1 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -114,8 +114,7 @@ def load_external_chi2(self, external_chi2):
                 # Check if dynamic scale
                 if self.rge_dict["obs_scale"] == "dynamic":
                     _logger.info(
-                        f"Computing RGE matrix for {class_name} with 
-                        initial scale {self.rge_dict['init_scale']}."
+                        f"Computing RGE matrix for {class_name} with initial scale {self.rge_dict['init_scale']}.",
                     )
                     # compute RGE matrix
                     if "scale" not in module:
diff --git a/src/smefit/rge.py b/src/smefit/rge.py
index 546405a7..c05d86a1 100644
--- a/src/smefit/rge.py
+++ b/src/smefit/rge.py
@@ -333,7 +333,7 @@ def load_scales(datasets, theory_path, default_scale=1e3):
         )
         # check that dataset_scales is not a list filled with None
         # otherwise, assume the initial scale
-        if not all([scale is None for scale in dataset_scales]):
+        if not all(scale is None for scale in dataset_scales):
             scales.extend(dataset_scales)
         else:
             scales.extend([default_scale] * len(dataset_scales))

From 61d9774d9c79b69fdd1d135276ce868e8c7ad6f5 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Mon, 28 Oct 2024 18:31:36 +0100
Subject: [PATCH 10/47] Refactor again

---
 src/smefit/loader.py            | 2 +-
 src/smefit/optimize/__init__.py | 3 ++-
 2 files changed, 3 insertions(+), 2 deletions(-)

diff --git a/src/smefit/loader.py b/src/smefit/loader.py
index 8aa67ef0..54bced51 100644
--- a/src/smefit/loader.py
+++ b/src/smefit/loader.py
@@ -295,7 +295,7 @@ def is_to_keep(op1, op2=None):
         else:
             scales = [None] * len(best_sm)
         return (
-            raw_th_data["best_sm"],
+            best_sm,
             th_cov,
             lin_dict_to_keep,
             quad_dict_to_keep,
diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index d84ba1c1..e20fe488 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -114,7 +114,8 @@ def load_external_chi2(self, external_chi2):
                 # Check if dynamic scale
                 if self.rge_dict["obs_scale"] == "dynamic":
                     _logger.info(
-                        f"Computing RGE matrix for {class_name} with initial scale {self.rge_dict['init_scale']}.",
+                        f"Computing RGE matrix for {class_name} "
+                        f"with initial scale {self.rge_dict['init_scale']}."
                     )
                     # compute RGE matrix
                     if "scale" not in module:

From 03fc9e2e8d14af337180e23a35ce194141fec2d2 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Tue, 29 Oct 2024 17:01:35 +0100
Subject: [PATCH 11/47] Refactor code to handle missing scales in the theory
 file

---
 src/smefit/loader.py | 6 ++----
 1 file changed, 2 insertions(+), 4 deletions(-)

diff --git a/src/smefit/loader.py b/src/smefit/loader.py
index 54bced51..510c52c7 100644
--- a/src/smefit/loader.py
+++ b/src/smefit/loader.py
@@ -290,10 +290,8 @@ def is_to_keep(op1, op2=None):
             th_cov = np.zeros((best_sm.size, best_sm.size))
 
         # check if scales are present in the theory file
-        if "scales" in raw_th_data:
-            scales = raw_th_data["scales"]
-        else:
-            scales = [None] * len(best_sm)
+        scales = raw_th_data.get("scales", [None] * len(best_sm))
+
         return (
             best_sm,
             th_cov,

From 0ec3ad0d044f4425ec9cb2ee24b2cec5dfb65cf4 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Tue, 5 Nov 2024 11:04:29 +0100
Subject: [PATCH 12/47] Run black on all files

---
 docs/source/conf.py                      |   1 +
 smefit_uv/fcc_bounds.py                  | 279 ++++++++++++++++-------
 smefit_uv/latex_dicts.py                 | 207 +++++++++--------
 smefit_uv/spider_uv.py                   |   6 +-
 src/smefit/analyze/chi2_utils.py         |   2 +-
 src/smefit/analyze/coefficients_utils.py |  15 +-
 src/smefit/analyze/html_utils.py         |   2 +-
 src/smefit/analyze/report.py             |  16 +-
 src/smefit/loader.py                     |   8 +-
 src/smefit/optimize/mc.py                |   1 -
 src/smefit/projections/__init__.py       |   1 -
 11 files changed, 334 insertions(+), 204 deletions(-)

diff --git a/docs/source/conf.py b/docs/source/conf.py
index 451d0361..019bee9a 100644
--- a/docs/source/conf.py
+++ b/docs/source/conf.py
@@ -129,6 +129,7 @@
 # If true, `todo` and `todoList` produce output, else they produce nothing.
 todo_include_todos = True
 
+
 # https://github.com/readthedocs/readthedocs.org/issues/1139#issuecomment-312626491
 def run_apidoc(_):
     import sys  # pylint: disable=import-outside-toplevel
diff --git a/smefit_uv/fcc_bounds.py b/smefit_uv/fcc_bounds.py
index 72cb8650..8315363d 100644
--- a/smefit_uv/fcc_bounds.py
+++ b/smefit_uv/fcc_bounds.py
@@ -9,7 +9,8 @@
 from latex_dicts import mod_dict
 from latex_dicts import uv_param_dict
 from latex_dicts import inv_param_dict
-#import arviz as az
+
+# import arviz as az
 from sigfig import round
 
 import matplotlib.pyplot as plt
@@ -18,8 +19,9 @@
 from histogram_tools import find_xrange
 
 from matplotlib import rc
-rc('font', **{'family': 'sans-serif', 'sans-serif': ['Helvetica'], 'size': 22})
-rc('text', usetex=True)
+
+rc("font", **{"family": "sans-serif", "sans-serif": ["Helvetica"], "size": 22})
+rc("text", usetex=True)
 
 collections = ["Granada"]
 
@@ -97,7 +99,9 @@ def compute_bounds(collection, mod_nrs, label, caption):
             for EFT in ["NHO", "HO"]:
                 n_inv = 0
                 # path to posterior with model number
-                posterior_path_mod = Path(posterior_path.format(collection, mod_nr, pQCD, EFT))
+                posterior_path_mod = Path(
+                    posterior_path.format(collection, mod_nr, pQCD, EFT)
+                )
 
                 if posterior_path_mod.exists():
 
@@ -112,31 +116,47 @@ def compute_bounds(collection, mod_nrs, label, caption):
                             if min(samples) > 0:
                                 low = 0
                                 up = np.nanpercentile(samples, 95.0)
-                                up_str = "{}".format(round(up, sigfigs=4, notation='sci')).replace('E', 'e').replace('e0', '')
-                                if 'e' in up_str:
-                                    base, exp = up_str.split('e')
+                                up_str = (
+                                    "{}".format(round(up, sigfigs=4, notation="sci"))
+                                    .replace("E", "e")
+                                    .replace("e0", "")
+                                )
+                                if "e" in up_str:
+                                    base, exp = up_str.split("e")
                                     up_str = "{}$\\mathrm{{e}}{{{}}}$".format(base, exp)
                                 table_dict[mod_nr][key][pQCD][EFT] = up_str
 
                             else:
-                                low, up = np.nanpercentile(samples, 2.5), np.nanpercentile(samples, 97.5)
-                                low_str = "{}".format(round(low, sigfigs=4, notation='sci')).replace('E', 'e').replace(
-                                    'e0', '')
-                                up_str = "{}".format(round(up, sigfigs=4, notation='sci')).replace('E', 'e').replace(
-                                    'e0', '')
-                                if 'e' in low_str:
-                                    base, exp = low_str.split('e')
-                                    low_str = "{}$\\mathrm{{e}}{{{}}}$".format(base, exp)
-                                if 'e' in up_str:
-                                    base, exp = up_str.split('e')
+                                low, up = np.nanpercentile(
+                                    samples, 2.5
+                                ), np.nanpercentile(samples, 97.5)
+                                low_str = (
+                                    "{}".format(round(low, sigfigs=4, notation="sci"))
+                                    .replace("E", "e")
+                                    .replace("e0", "")
+                                )
+                                up_str = (
+                                    "{}".format(round(up, sigfigs=4, notation="sci"))
+                                    .replace("E", "e")
+                                    .replace("e0", "")
+                                )
+                                if "e" in low_str:
+                                    base, exp = low_str.split("e")
+                                    low_str = "{}$\\mathrm{{e}}{{{}}}$".format(
+                                        base, exp
+                                    )
+                                if "e" in up_str:
+                                    base, exp = up_str.split("e")
                                     up_str = "{}$\\mathrm{{e}}{{{}}}$".format(base, exp)
-                                table_dict[mod_nr][key][pQCD][EFT] = "[{}, {}]".format(low_str, up_str)
+                                table_dict[mod_nr][key][pQCD][EFT] = "[{}, {}]".format(
+                                    low_str, up_str
+                                )
 
                             if up > 200 or low < -200:
                                 table_dict[mod_nr][key][pQCD][EFT] = "$\\times$"
                             # hdi is two sides, so we cannot use it: |g| > 0 requires one sided test
                             # table_dict[mod_nr][key][pQCD][EFT] = az.hdi(np.array(samples), hdi_prob=.95)
-                            #table_dict[mod_nr][key][pQCD][EFT] = low, up
+                            # table_dict[mod_nr][key][pQCD][EFT] = low, up
                             n_inv += 1
                     n_invariants.append(n_inv)
         print("n_invariants:", n_invariants)
@@ -160,8 +180,6 @@ def compute_bounds(collection, mod_nrs, label, caption):
     table += "\\end{center}\n"
     table += "\\end{table}\n"
 
-
-
     return table, n_params
 
 
@@ -181,7 +199,7 @@ def compute_bounds(collection, mod_nrs, label, caption):
 #                                                   "95\\% CL intervals of the heavy vector fermion fields UV couplings.")
 #
 # latex_table_mp, n_mp = compute_bounds("MultiParticleCollection", mp_mdl_idx, "cl-mp-model-spl", "95\\% CL intervals of the UV couplings that enter in the multiparticle model.")
-#latex_table_1l, n_scalars_1L = compute_bounds("OneLoop", oneloop_mdl_idx, "cl-1l-model", "95\\% CL intervals of the UV couplings in \\varphi at one-loop.")
+# latex_table_1l, n_scalars_1L = compute_bounds("OneLoop", oneloop_mdl_idx, "cl-1l-model", "95\\% CL intervals of the UV couplings in \\varphi at one-loop.")
 
 
 # Save LaTeX code to a .tex file
@@ -196,11 +214,16 @@ def compute_bounds(collection, mod_nrs, label, caption):
 # with open(result_dir / "table_1l.tex", "w") as file:
 #     file.write(latex_table_1l)
 
+
 def plot_uv_posterior_bar(n_params, collection, models, EFT=None, name=None, pQCD=None):
 
     fig, axes = plt.subplots(figsize=(18, 8 * 3), ncols=1, nrows=3)
 
-    category = [r'${\rm Heavy\:Scalar}$', r'${\rm Heavy\:Fermion}$', r'${\rm Heavy\:Vector\:Boson}$']
+    category = [
+        r"${\rm Heavy\:Scalar}$",
+        r"${\rm Heavy\:Fermion}$",
+        r"${\rm Heavy\:Vector\:Boson}$",
+    ]
 
     for i, mod_nrs in enumerate(models):
 
@@ -213,9 +236,15 @@ def plot_uv_posterior_bar(n_params, collection, models, EFT=None, name=None, pQC
                 continue
             print(mod_nr)
 
-            posterior_path_mod_1 = Path(posterior_path.format(collection, "lhc", mod_nr, pQCD, "HO"))
-            posterior_path_mod_2 = Path(posterior_path.format(collection, "hllhc", mod_nr, pQCD, "HO"))
-            posterior_path_mod_3 = Path(posterior_path.format(collection, "fcc", mod_nr, pQCD, "HO"))
+            posterior_path_mod_1 = Path(
+                posterior_path.format(collection, "lhc", mod_nr, pQCD, "HO")
+            )
+            posterior_path_mod_2 = Path(
+                posterior_path.format(collection, "hllhc", mod_nr, pQCD, "HO")
+            )
+            posterior_path_mod_3 = Path(
+                posterior_path.format(collection, "fcc", mod_nr, pQCD, "HO")
+            )
 
             if posterior_path_mod_1.exists():
                 # Open the JSON file and load its contents
@@ -233,15 +262,17 @@ def plot_uv_posterior_bar(n_params, collection, models, EFT=None, name=None, pQC
 
                 n_invariants = 0
                 for key in posterior_1.keys():
-                    if key.startswith('inv'):
+                    if key.startswith("inv"):
                         n_invariants += 1
 
                 if n_invariants > 1:
                     continue
 
-                for (key, samples_1_list), (_, samples_2_list), (_, samples_3_list) in zip(
-                        posterior_1.items(), posterior_2.items(), posterior_3.items()
-                ):
+                for (
+                    (key, samples_1_list),
+                    (_, samples_2_list),
+                    (_, samples_3_list),
+                ) in zip(posterior_1.items(), posterior_2.items(), posterior_3.items()):
                     if not key.startswith("inv"):
                         continue
                     else:
@@ -268,7 +299,9 @@ def plot_uv_posterior_bar(n_params, collection, models, EFT=None, name=None, pQC
         x = np.linspace(0, 200, len(lhc_bounds))
         dx = x[1] - x[0]
 
-        logo = plt.imread("/data/theorie/jthoeve/smefit_release/src/smefit/analyze/logo.png")
+        logo = plt.imread(
+            "/data/theorie/jthoeve/smefit_release/src/smefit/analyze/logo.png"
+        )
 
         axes[-1].imshow(
             logo,
@@ -278,35 +311,76 @@ def plot_uv_posterior_bar(n_params, collection, models, EFT=None, name=None, pQC
             zorder=10,
         )
 
-
-
         # Plot the bars
 
-        axes[i].bar(x - bar_width, lhc_bounds[:, 0], bar_width, align='center', label=r'$\rm{LEP+LHC_{Run-2}}, \:g_{{\rm UV}}=1$', color='C0')
+        axes[i].bar(
+            x - bar_width,
+            lhc_bounds[:, 0],
+            bar_width,
+            align="center",
+            label=r"$\rm{LEP+LHC_{Run-2}}, \:g_{{\rm UV}}=1$",
+            color="C0",
+        )
 
-        axes[i].bar(x - bar_width, lhc_bounds[:, 1], bar_width, align='center', edgecolor='C0',
-                    linestyle='--', alpha=0.3, label=r'$\rm{LEP+LHC_{Run-2}},\:g_{{\rm UV}}=4\pi$')
+        axes[i].bar(
+            x - bar_width,
+            lhc_bounds[:, 1],
+            bar_width,
+            align="center",
+            edgecolor="C0",
+            linestyle="--",
+            alpha=0.3,
+            label=r"$\rm{LEP+LHC_{Run-2}},\:g_{{\rm UV}}=4\pi$",
+        )
 
-        axes[i].bar(x, hllhc_bounds[:, 0], bar_width, align='center', label=r'$\rm{+\:HL-LHC}, \:g_{{\rm UV}}=1$',
-                    color='C1')
+        axes[i].bar(
+            x,
+            hllhc_bounds[:, 0],
+            bar_width,
+            align="center",
+            label=r"$\rm{+\:HL-LHC}, \:g_{{\rm UV}}=1$",
+            color="C1",
+        )
 
-        axes[i].bar(x, hllhc_bounds[:, 1], bar_width, align='center', edgecolor='C1',
-                    linestyle='--', alpha=0.3, label=r'$\rm{+\:HL-LHC}, \:g_{{\rm UV}}=4\pi$')
+        axes[i].bar(
+            x,
+            hllhc_bounds[:, 1],
+            bar_width,
+            align="center",
+            edgecolor="C1",
+            linestyle="--",
+            alpha=0.3,
+            label=r"$\rm{+\:HL-LHC}, \:g_{{\rm UV}}=4\pi$",
+        )
 
-        axes[i].bar(x + bar_width, fcc_bounds[:, 0], bar_width, align='center', label=r'$\rm{+\:FCC-ee}, \:g_{{\rm UV}}=1$',
-                    color='C2')
+        axes[i].bar(
+            x + bar_width,
+            fcc_bounds[:, 0],
+            bar_width,
+            align="center",
+            label=r"$\rm{+\:FCC-ee}, \:g_{{\rm UV}}=1$",
+            color="C2",
+        )
 
-        axes[i].bar(x + bar_width, fcc_bounds[:, 1], bar_width, align='center', edgecolor='C2',
-                    linestyle='--', alpha=0.3, label=r'$\rm{+\:FCC-ee}, \:g_{{\rm UV}}=4\pi$')
+        axes[i].bar(
+            x + bar_width,
+            fcc_bounds[:, 1],
+            bar_width,
+            align="center",
+            edgecolor="C2",
+            linestyle="--",
+            alpha=0.3,
+            label=r"$\rm{+\:FCC-ee}, \:g_{{\rm UV}}=4\pi$",
+        )
 
         axes[i].set_xticks(x, x_labels)
-        axes[i].set_ylabel(r'$M_{\mathrm{UV}}\:{\rm [TeV]}$')
-        axes[i].tick_params(axis='x', which='major', pad=15)
-        #axes[i].legend(frameon=False, ncol=3)
-        axes[i].set_yscale('log')
+        axes[i].set_ylabel(r"$M_{\mathrm{UV}}\:{\rm [TeV]}$")
+        axes[i].tick_params(axis="x", which="major", pad=15)
+        # axes[i].legend(frameon=False, ncol=3)
+        axes[i].set_yscale("log")
 
         if i == 2:
-            axes[i].set_ylim(0.08, 5 * 10 **3)
+            axes[i].set_ylim(0.08, 5 * 10**3)
 
         axes[i].text(
             0.02,
@@ -315,21 +389,12 @@ def plot_uv_posterior_bar(n_params, collection, models, EFT=None, name=None, pQC
             fontsize=24,
             ha="left",
             va="top",
-            transform=axes[i].transAxes
+            transform=axes[i].transAxes,
         )
 
+    axes[0].legend(frameon=False, ncol=3, loc="upper right", fontsize=18)
 
-
-
-    axes[0].legend(
-        frameon=False,
-        ncol=3,
-        loc='upper right',
-        fontsize=18
-    )
-
-
-    #axes[-1].set_xlim(x.min() - 2 * bar_width, x.max() + 2 * bar_width)
+    # axes[-1].set_xlim(x.min() - 2 * bar_width, x.max() + 2 * bar_width)
 
     fig.tight_layout()
 
@@ -353,17 +418,25 @@ def plot_uv_posterior(n_params, collection, mod_nrs, EFT=None, name=None, pQCD=N
             continue
         print(mod_nr)
 
-
-
         # path to posterior with model number
         if pQCD is None:
-            posterior_path_mod_1 = Path(posterior_path.format(collection, mod_nr, "LO", EFT))
-            posterior_path_mod_2 = Path(posterior_path.format(collection, mod_nr, "NLO", EFT))
+            posterior_path_mod_1 = Path(
+                posterior_path.format(collection, mod_nr, "LO", EFT)
+            )
+            posterior_path_mod_2 = Path(
+                posterior_path.format(collection, mod_nr, "NLO", EFT)
+            )
         elif EFT is None:
 
-            posterior_path_mod_1 = Path(posterior_path.format(collection, "lhc", mod_nr, pQCD, "NHO"))
-            posterior_path_mod_2 = Path(posterior_path.format(collection, "hllhc", mod_nr, pQCD, "NHO"))
-            posterior_path_mod_3 = Path(posterior_path.format(collection, "fcc", mod_nr, pQCD, "NHO"))
+            posterior_path_mod_1 = Path(
+                posterior_path.format(collection, "lhc", mod_nr, pQCD, "NHO")
+            )
+            posterior_path_mod_2 = Path(
+                posterior_path.format(collection, "hllhc", mod_nr, pQCD, "NHO")
+            )
+            posterior_path_mod_3 = Path(
+                posterior_path.format(collection, "fcc", mod_nr, pQCD, "NHO")
+            )
         else:
             print("EFT and pQCD cannot both be None, aborting")
             sys.exit()
@@ -383,7 +456,7 @@ def plot_uv_posterior(n_params, collection, mod_nrs, EFT=None, name=None, pQCD=N
                 continue
 
             for (key, samples_1_list), (_, samples_2_list), (_, samples_3_list) in zip(
-                    posterior_1.items(), posterior_2.items(), posterior_3.items()
+                posterior_1.items(), posterior_2.items(), posterior_3.items()
             ):
                 if not key.startswith("inv"):
                     continue
@@ -433,7 +506,7 @@ def plot_uv_posterior(n_params, collection, mod_nrs, EFT=None, name=None, pQCD=N
                         fontsize=17,
                         ha="left",
                         va="top",
-                        transform=ax.transAxes
+                        transform=ax.transAxes,
                     )
 
                     ax.text(
@@ -443,40 +516,72 @@ def plot_uv_posterior(n_params, collection, mod_nrs, EFT=None, name=None, pQCD=N
                         fontsize=20,
                         ha="right",
                         va="top",
-                        transform=ax.transAxes
+                        transform=ax.transAxes,
                     )
 
-
     if pQCD is None:
-        order_EFT = -2 if EFT == 'NHO' else -4
-        fig.legend([f"$\mathrm{{LO}}\;\mathcal{{O}}\\left(\Lambda^{{{order_EFT}}}\\right)$",
-                    f"$\mathrm{{NLO}}\;\mathcal{{O}}\\left(\Lambda^{{{order_EFT}}}\\right)$"], loc="upper center",
-                   ncol=2,
-                   prop={"size": 25 * (n_cols * 4) / 20}, bbox_to_anchor=(0.5, 1.0), frameon=False)
+        order_EFT = -2 if EFT == "NHO" else -4
+        fig.legend(
+            [
+                f"$\mathrm{{LO}}\;\mathcal{{O}}\\left(\Lambda^{{{order_EFT}}}\\right)$",
+                f"$\mathrm{{NLO}}\;\mathcal{{O}}\\left(\Lambda^{{{order_EFT}}}\\right)$",
+            ],
+            loc="upper center",
+            ncol=2,
+            prop={"size": 25 * (n_cols * 4) / 20},
+            bbox_to_anchor=(0.5, 1.0),
+            frameon=False,
+        )
 
         if n_rows > 1:
-            plt.tight_layout(rect=[0, 0.05 * (5. / n_rows), 1, 1 - 0.05 * (5. / n_rows)])  # make room for the legend
+            plt.tight_layout(
+                rect=[0, 0.05 * (5.0 / n_rows), 1, 1 - 0.05 * (5.0 / n_rows)]
+            )  # make room for the legend
         else:
             plt.tight_layout(rect=[0, 0.08, 1, 0.92])  # make room for the legend
         if name is not None:
-            fig.savefig(result_dir / "{}_posteriors_LO_vs_NLO_{}_{}.pdf".format(collection, EFT, name))
+            fig.savefig(
+                result_dir
+                / "{}_posteriors_LO_vs_NLO_{}_{}.pdf".format(collection, EFT, name)
+            )
         else:
-            fig.savefig(result_dir / "{}_posteriors_LO_vs_NLO_{}.pdf".format(collection, EFT))
+            fig.savefig(
+                result_dir / "{}_posteriors_LO_vs_NLO_{}.pdf".format(collection, EFT)
+            )
     elif EFT is None:
-        fig.legend([f"$\mathrm{{LHC}}\;\mathcal{{O}}\\left(\Lambda^{{-2}}\\right)$",
-                    f"$\mathrm{{HL-LHC}}\;\mathcal{{O}}\\left(\Lambda^{{-2}}\\right)$",
-                    f"$\mathrm{{FCCee}}\;\mathcal{{O}}\\left(\Lambda^{{-2}}\\right)$"], ncol=3,
-                   prop={"size": 25 * (n_cols * 4) / 20}, bbox_to_anchor=(0.5, 1.0), loc='upper center', frameon=False)
+        fig.legend(
+            [
+                f"$\mathrm{{LHC}}\;\mathcal{{O}}\\left(\Lambda^{{-2}}\\right)$",
+                f"$\mathrm{{HL-LHC}}\;\mathcal{{O}}\\left(\Lambda^{{-2}}\\right)$",
+                f"$\mathrm{{FCCee}}\;\mathcal{{O}}\\left(\Lambda^{{-2}}\\right)$",
+            ],
+            ncol=3,
+            prop={"size": 25 * (n_cols * 4) / 20},
+            bbox_to_anchor=(0.5, 1.0),
+            loc="upper center",
+            frameon=False,
+        )
         if n_rows > 1:
-            plt.tight_layout(rect=[0, 0.05 * (5. / n_rows), 1, 1 - 0.05 * (5. / n_rows)])  # make room for the legend
+            plt.tight_layout(
+                rect=[0, 0.05 * (5.0 / n_rows), 1, 1 - 0.05 * (5.0 / n_rows)]
+            )  # make room for the legend
         else:
             plt.tight_layout(rect=[0, 0.08, 1, 0.92])  # make room for the legend
 
-        fig.savefig(result_dir / "{}_posteriors_lhc_vs_hlhc_{}.png".format(collection, name))
+        fig.savefig(
+            result_dir / "{}_posteriors_lhc_vs_hlhc_{}.png".format(collection, name)
+        )
+
 
 # plot_uv_posterior_bar(10, "Granada", vboson_mdl_nrs, name="vbosons", pQCD="NLO")
 # plot_uv_posterior(15, "Granada", vfermion_mdl_nrs, name="vfermions", pQCD="NLO")
-plot_uv_posterior_bar(10, "Granada", [scalar_mdl_nrs, vfermion_mdl_nrs, vboson_mdl_nrs], name="scalars", pQCD="NLO")
+plot_uv_posterior_bar(
+    10,
+    "Granada",
+    [scalar_mdl_nrs, vfermion_mdl_nrs, vboson_mdl_nrs],
+    name="scalars",
+    pQCD="NLO",
+)
 
 # plot_uv_posterior(n_mp, "MultiParticleCollection", mp_mdl_idx, EFT="NHO")
 # plot_uv_posterior(n_mp, "MultiParticleCollection", mp_mdl_idx, EFT="HO")
diff --git a/smefit_uv/latex_dicts.py b/smefit_uv/latex_dicts.py
index 2e7a4ddb..96a5c9de 100644
--- a/smefit_uv/latex_dicts.py
+++ b/smefit_uv/latex_dicts.py
@@ -33,8 +33,8 @@
     47: r"$Q_7$",
     48: r"$T_1$",
     49: r"$T_2$",
-    '48_10': r"$T_1\;{\rm (tree)}$",
-    '49_10': r"$T_2\;{\rm (tree)}$",
+    "48_10": r"$T_1\;{\rm (tree)}$",
+    "49_10": r"$T_2\;{\rm (tree)}$",
     "Q1_Q7_W": r"$(Q_1, Q_7, \mathcal{W})$",
     "Q1_Q7_W_NoDegen": r"$(Q_1, Q_7, \mathcal{W})$",
     "Q1Q7W_spl": r"$Q_1Q_7\mathcal{W}$",
@@ -101,96 +101,117 @@
     "lamT2f3": r"$\left(\lambda_{T_2}\right)_3$",
     "gWtiH": r"$g_{\mathcal{W}}^{\varphi}$",
     "lamQ7f33": r"$\left(\lambda_{\mathcal{Q}_7}\right)_{33}$",
-
 }
 
-inv_param_dict = {2: {'inv1': r"$\left|\kappa_{\mathcal{S}}\right|$"},
-                  3: {'inv1': r"$\left(y_{\mathcal{S}_1}\right)_{12} \left(y_{\mathcal{S}_1}\right)_{21}$"},
-                  5: {'inv1': r"$\left|\lambda_{\phi}\right|$",
-                      'inv2': r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
-                      'inv3': r"$\left|m_\phi\right|$"},
-                  "5_5": {'inv1': r"$\left|\lambda_{\phi}\right|$",
-                                          'inv2': r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$"
-                                               },
-                  "5_10": {'inv1': r"$\left|\lambda_{\phi}\right|$",
-                      'inv2': r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$"
-                           },
-                  "Varphi_massbound": {'inv1': r"$\left|\lambda_{\phi}\right|$",
-                                       'inv2': r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
-                                       'inv3': r"$m_\phi$"},
-                  "Varphi": {'inv1': r"$\left|\lambda_{\phi}\right|$",
-                             'inv2': r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
-                             },
-                 "Varphi_1": {'inv1': r"$\left|\lambda_{\phi}\right|$",
-                             'inv2': r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
-                             },
-                "Varphi_5": {'inv1': r"$\left|\lambda_{\phi}\right|$",
-                                             'inv2': r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
-                                             },
-                  "Varphi_10": {'inv1': r"$\left|\lambda_{\phi}\right|$",
-                             'inv2': r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
-                             },
-                  6: {'inv1': r"$\left|\kappa_{\Xi}\right|$"},
-                  7: {'inv1': r"$\left|\kappa_{\Xi1}\right|$"},
-                  10: {'inv1': r"$\left|\left(y_{\omega_1}^{qq}\right)_{33}\right|$"},
-                  12: {'inv1': r"$\left|\left(y_{\omega_4}^{uu}\right)_{33}\right|$"},
-                  15: {'inv1': r"$\left|\left(y_{\zeta}^{qq}\right)_{33}\right|$"},
-                  16: {'inv1': r"$\left|\left(y_{\Omega_1}^{qq}\right)_{33}\right|$"},
-                  18: {'inv1': r"$\left|\left(y_{\Omega_4}\right)_{33}\right|$"},
-                  19: {'inv1': r"$\left|\left(y_{\Upsilon}\right)_{33}\right|$"},
-                  20: {'inv1': r"$\left|\left(y_{\Phi}^{qu}\right)_{33}\right|$"},
-                  21: {'inv1': r"$\left|g_{\mathcal{B}}^\varphi\right|$",
-                       'inv2': r"$\left(g_{\mathcal{B}}^e\right)_{11} g_{\mathcal{B}}^\varphi$",
-                       'inv3': r"$\left(g_{\mathcal{B}}^e\right)_{22} g_{\mathcal{B}}^\varphi$",
-                       'inv4': r"$\left(g_{\mathcal{B}}^e\right)_{33} g_{\mathcal{B}}^\varphi$",
-                       'inv5': r"$\mathrm{sgn}(g_{\mathcal{B}}^\varphi) \left(g_B^\ell\right)_{11}$",
-                       'inv6': r"$g_{\mathcal{B}}^\varphi \left(g_{\mathcal{B}}^\ell \right)_{22}$",
-                       'inv7': r"$g_{\mathcal{B}}^\varphi \left(g_{\mathcal{B}}^\ell \right)_{33}$",
-                       'inv8': r"$\mathrm{sgn}(g_\mathcal{B}^\varphi)\left(g_\mathcal{B}^q\right)_{33}$",
-                       'inv9': r"$\mathrm{sgn}(g_\mathcal{B}^\varphi)\left(g_B^u\right)_{33}$"},
-                  22: {'inv1': r"$\left|g_B^\varphi\right|$"},
-                  23: {'inv1': r"$\left|\left(g_{\mathcal{W}}^\ell\right)_{11}\right|$",
-                       'inv2': r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^\ell\right)_{11}\right)\left(g_{\mathcal{W}}^\ell\right)_{22}$",
-                       'inv3': r"$\left|\left(g_{\mathcal{W}}^\ell\right)_{33}\right|$",
-                       'inv4': r"$\left|\left(g_{\mathcal{W}}^q\right)_{33}\right|$",
-                       'inv5': r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^q\right)_{33}\right)g_{\mathcal{W}}^\varphi$"},
-                  24: {'inv1': r"$\left|g_{\mathcal{W}_1}^\varphi\right|$"},
-                  25: {'inv1': r"$\left|\left(g_{\mathcal{G}}^q\right)_{33}\right|$",
-                       'inv2': r"$\mathrm{sgn}\left(\left(g_{\mathcal{G}}^q\right)_{33}\right)\left(g_{\mathcal{G}}^u\right)_{33}$"},
-                  27: {'inv1': r"$\left|\left(g_{\mathcal{H}}\right)_{33}\right|$"},
-                  33: {'inv1': r"$\left|\left(g_{\mathcal{Q}_5}^{uq}\right)_{33}\right|$"},
-                  36: {'inv1': r"$\left|\left(g_{\mathcal{Y}_5}\right)_{33}\right|$"},
-                  37: {'inv1': r"$\left|\left(\lambda_N^e\right)_3\right|$"},
-                  38: {'inv1': r"$\left|\left(\lambda_E\right)_3\right|$"},
-                  39: {'inv1': r"$\left|\left(\lambda_{\Delta_1}\right)_3\right|$"},
-                  40: {'inv1': r"$\left|\left(\lambda_{\Delta_3}\right)_3\right|$"},
-                  41: {'inv1': r"$\left|\left(\lambda_{\Sigma}\right)_3\right|$"},
-                  42: {'inv1': r"$\left|\left(\lambda_{\Sigma_1}\right)_3\right|$"},
-                  43: {'inv1': r"$\left|\left(\lambda_{U}\right)_3\right|$"},
-                  44: {'inv1': r"$\left|\left(\lambda_{D}\right)_3\right|$"},
-                  45: {'inv1': r"$\left|\left(\lambda_{\mathcal{Q}_1}^u\right)_3\right|$"},
-                  47: {'inv1': r"$\left|\left(\lambda_{\mathcal{Q}_7}\right)_3\right|$"},
-                  48: {'inv1': r"$\left|\left(\lambda_{T_1}\right)_3\right|$"},
-                  49: {'inv1': r"$\left|\left(\lambda_{T_2}\right)_3\right|$"},
-                  '48_10': {'inv1': r"$\left|\left(\lambda_{T_1}\right)_3\right|$"},
-                  '49_10': {'inv1': r"$\left|\left(\lambda_{T_2}\right)_3\right|$"},
-                  "Q1_Q7_W": {'inv1': r"$\left|\left(g_{\mathcal{W}}^l\right)_{11}\right|$",
-                              'inv2': r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^l\right)_{11}\right)\left(g_{\mathcal{W}}^l\right)_{22}$",
-                              'inv3': r"$\left|\left(g_{\mathcal{W}}^l\right)_{33}\right|$",
-                              'inv4': r"$\left|\left(g_{\mathcal{W}}^q\right)_{33}\right|$",
-                              'inv5': r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^q\right)_{33}\right)g_{\mathcal{W}}^\varphi$",
-                              'inv6': r"$\left|\left(\lambda_{\mathcal{Q}_1}^u\right)_3\right|$",
-                              'inv7': r"$\left|\left(\lambda_{\mathcal{Q}_7}\right)_{33}\right|$"},
-                "Q1_Q7_W_NoDegen": {'inv1': r"$\left|\left(g_{\mathcal{W}}^l\right)_{11}\right|$",
-                              'inv2': r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^l\right)_{11}\right)\left(g_{\mathcal{W}}^l\right)_{22}$",
-                              'inv3': r"$\left|\left(g_{\mathcal{W}}^l\right)_{33}\right|$",
-                              'inv4': r"$\left|\left(g_{\mathcal{W}}^q\right)_{33}\right|$",
-                              'inv5': r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^q\right)_{33}\right)g_{\mathcal{W}}^\varphi$",
-                              'inv6': r"$\left|\left(\lambda_{Q_1}^u\right)_3\right|$",
-                              'inv7': r"$\left|\left(\lambda_{Q_7}\right)_{33}\right|$"},
-                  "T1": {'inv1': r"$\left|\left(\lambda_{T_1}\right)_3\right|$"},
-                  "T2": {'inv1': r"$\left|\left(\lambda_{T_2}\right)_3\right|$"},
-                  "T1_10": {'inv1': r"$\left|\left(\lambda_{T_1}\right)_3\right|$"},
-                  "T2_10": {'inv1': r"$\left|\left(\lambda_{T_2}\right)_3\right|$"}
-                  }
-
+inv_param_dict = {
+    2: {"inv1": r"$\left|\kappa_{\mathcal{S}}\right|$"},
+    3: {
+        "inv1": r"$\left(y_{\mathcal{S}_1}\right)_{12} \left(y_{\mathcal{S}_1}\right)_{21}$"
+    },
+    5: {
+        "inv1": r"$\left|\lambda_{\phi}\right|$",
+        "inv2": r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
+        "inv3": r"$\left|m_\phi\right|$",
+    },
+    "5_5": {
+        "inv1": r"$\left|\lambda_{\phi}\right|$",
+        "inv2": r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
+    },
+    "5_10": {
+        "inv1": r"$\left|\lambda_{\phi}\right|$",
+        "inv2": r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
+    },
+    "Varphi_massbound": {
+        "inv1": r"$\left|\lambda_{\phi}\right|$",
+        "inv2": r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
+        "inv3": r"$m_\phi$",
+    },
+    "Varphi": {
+        "inv1": r"$\left|\lambda_{\phi}\right|$",
+        "inv2": r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
+    },
+    "Varphi_1": {
+        "inv1": r"$\left|\lambda_{\phi}\right|$",
+        "inv2": r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
+    },
+    "Varphi_5": {
+        "inv1": r"$\left|\lambda_{\phi}\right|$",
+        "inv2": r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
+    },
+    "Varphi_10": {
+        "inv1": r"$\left|\lambda_{\phi}\right|$",
+        "inv2": r"$\mathrm{sgn}(\lambda_{\phi})\left(y_{\phi}^u\right)_{33}$",
+    },
+    6: {"inv1": r"$\left|\kappa_{\Xi}\right|$"},
+    7: {"inv1": r"$\left|\kappa_{\Xi1}\right|$"},
+    10: {"inv1": r"$\left|\left(y_{\omega_1}^{qq}\right)_{33}\right|$"},
+    12: {"inv1": r"$\left|\left(y_{\omega_4}^{uu}\right)_{33}\right|$"},
+    15: {"inv1": r"$\left|\left(y_{\zeta}^{qq}\right)_{33}\right|$"},
+    16: {"inv1": r"$\left|\left(y_{\Omega_1}^{qq}\right)_{33}\right|$"},
+    18: {"inv1": r"$\left|\left(y_{\Omega_4}\right)_{33}\right|$"},
+    19: {"inv1": r"$\left|\left(y_{\Upsilon}\right)_{33}\right|$"},
+    20: {"inv1": r"$\left|\left(y_{\Phi}^{qu}\right)_{33}\right|$"},
+    21: {
+        "inv1": r"$\left|g_{\mathcal{B}}^\varphi\right|$",
+        "inv2": r"$\left(g_{\mathcal{B}}^e\right)_{11} g_{\mathcal{B}}^\varphi$",
+        "inv3": r"$\left(g_{\mathcal{B}}^e\right)_{22} g_{\mathcal{B}}^\varphi$",
+        "inv4": r"$\left(g_{\mathcal{B}}^e\right)_{33} g_{\mathcal{B}}^\varphi$",
+        "inv5": r"$\mathrm{sgn}(g_{\mathcal{B}}^\varphi) \left(g_B^\ell\right)_{11}$",
+        "inv6": r"$g_{\mathcal{B}}^\varphi \left(g_{\mathcal{B}}^\ell \right)_{22}$",
+        "inv7": r"$g_{\mathcal{B}}^\varphi \left(g_{\mathcal{B}}^\ell \right)_{33}$",
+        "inv8": r"$\mathrm{sgn}(g_\mathcal{B}^\varphi)\left(g_\mathcal{B}^q\right)_{33}$",
+        "inv9": r"$\mathrm{sgn}(g_\mathcal{B}^\varphi)\left(g_B^u\right)_{33}$",
+    },
+    22: {"inv1": r"$\left|g_B^\varphi\right|$"},
+    23: {
+        "inv1": r"$\left|\left(g_{\mathcal{W}}^\ell\right)_{11}\right|$",
+        "inv2": r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^\ell\right)_{11}\right)\left(g_{\mathcal{W}}^\ell\right)_{22}$",
+        "inv3": r"$\left|\left(g_{\mathcal{W}}^\ell\right)_{33}\right|$",
+        "inv4": r"$\left|\left(g_{\mathcal{W}}^q\right)_{33}\right|$",
+        "inv5": r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^q\right)_{33}\right)g_{\mathcal{W}}^\varphi$",
+    },
+    24: {"inv1": r"$\left|g_{\mathcal{W}_1}^\varphi\right|$"},
+    25: {
+        "inv1": r"$\left|\left(g_{\mathcal{G}}^q\right)_{33}\right|$",
+        "inv2": r"$\mathrm{sgn}\left(\left(g_{\mathcal{G}}^q\right)_{33}\right)\left(g_{\mathcal{G}}^u\right)_{33}$",
+    },
+    27: {"inv1": r"$\left|\left(g_{\mathcal{H}}\right)_{33}\right|$"},
+    33: {"inv1": r"$\left|\left(g_{\mathcal{Q}_5}^{uq}\right)_{33}\right|$"},
+    36: {"inv1": r"$\left|\left(g_{\mathcal{Y}_5}\right)_{33}\right|$"},
+    37: {"inv1": r"$\left|\left(\lambda_N^e\right)_3\right|$"},
+    38: {"inv1": r"$\left|\left(\lambda_E\right)_3\right|$"},
+    39: {"inv1": r"$\left|\left(\lambda_{\Delta_1}\right)_3\right|$"},
+    40: {"inv1": r"$\left|\left(\lambda_{\Delta_3}\right)_3\right|$"},
+    41: {"inv1": r"$\left|\left(\lambda_{\Sigma}\right)_3\right|$"},
+    42: {"inv1": r"$\left|\left(\lambda_{\Sigma_1}\right)_3\right|$"},
+    43: {"inv1": r"$\left|\left(\lambda_{U}\right)_3\right|$"},
+    44: {"inv1": r"$\left|\left(\lambda_{D}\right)_3\right|$"},
+    45: {"inv1": r"$\left|\left(\lambda_{\mathcal{Q}_1}^u\right)_3\right|$"},
+    47: {"inv1": r"$\left|\left(\lambda_{\mathcal{Q}_7}\right)_3\right|$"},
+    48: {"inv1": r"$\left|\left(\lambda_{T_1}\right)_3\right|$"},
+    49: {"inv1": r"$\left|\left(\lambda_{T_2}\right)_3\right|$"},
+    "48_10": {"inv1": r"$\left|\left(\lambda_{T_1}\right)_3\right|$"},
+    "49_10": {"inv1": r"$\left|\left(\lambda_{T_2}\right)_3\right|$"},
+    "Q1_Q7_W": {
+        "inv1": r"$\left|\left(g_{\mathcal{W}}^l\right)_{11}\right|$",
+        "inv2": r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^l\right)_{11}\right)\left(g_{\mathcal{W}}^l\right)_{22}$",
+        "inv3": r"$\left|\left(g_{\mathcal{W}}^l\right)_{33}\right|$",
+        "inv4": r"$\left|\left(g_{\mathcal{W}}^q\right)_{33}\right|$",
+        "inv5": r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^q\right)_{33}\right)g_{\mathcal{W}}^\varphi$",
+        "inv6": r"$\left|\left(\lambda_{\mathcal{Q}_1}^u\right)_3\right|$",
+        "inv7": r"$\left|\left(\lambda_{\mathcal{Q}_7}\right)_{33}\right|$",
+    },
+    "Q1_Q7_W_NoDegen": {
+        "inv1": r"$\left|\left(g_{\mathcal{W}}^l\right)_{11}\right|$",
+        "inv2": r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^l\right)_{11}\right)\left(g_{\mathcal{W}}^l\right)_{22}$",
+        "inv3": r"$\left|\left(g_{\mathcal{W}}^l\right)_{33}\right|$",
+        "inv4": r"$\left|\left(g_{\mathcal{W}}^q\right)_{33}\right|$",
+        "inv5": r"$\mathrm{sgn}\left(\left(g_{\mathcal{W}}^q\right)_{33}\right)g_{\mathcal{W}}^\varphi$",
+        "inv6": r"$\left|\left(\lambda_{Q_1}^u\right)_3\right|$",
+        "inv7": r"$\left|\left(\lambda_{Q_7}\right)_{33}\right|$",
+    },
+    "T1": {"inv1": r"$\left|\left(\lambda_{T_1}\right)_3\right|$"},
+    "T2": {"inv1": r"$\left|\left(\lambda_{T_2}\right)_3\right|$"},
+    "T1_10": {"inv1": r"$\left|\left(\lambda_{T_1}\right)_3\right|$"},
+    "T2_10": {"inv1": r"$\left|\left(\lambda_{T_2}\right)_3\right|$"},
+}
diff --git a/smefit_uv/spider_uv.py b/smefit_uv/spider_uv.py
index aed28273..8d53df28 100644
--- a/smefit_uv/spider_uv.py
+++ b/smefit_uv/spider_uv.py
@@ -351,14 +351,12 @@ def log_transform(x, delta):
 
     # self._plot_logo(ax2, [0.75, 0.95, 0.001, 0.07])
 
-
     plt.savefig(
         "/data/theorie/jthoeve/smefit_release/smefit_uv/results_uv_param/spider_plot_uv_test.pdf",
         bbox_inches="tight",
     )
 
 
-
 collections = ["OneLoop"]
 
 
@@ -403,7 +401,7 @@ def log_transform(x, delta):
 #                 print("File not found", model)
 #                 continue
 # #
-#sys.exit()
+# sys.exit()
 # Specify the path to the JSON file
 posterior_path = f"{here.parent}/results/smefit_fcc_uv_spider/{{}}_{{}}_UV_{{}}_{{}}_{{}}_NS/inv_posterior.json"
 
@@ -519,7 +517,6 @@ def get_bounds(collection, mod_nrs):
 
                     x_labels.append(mod_dict[mod])
 
-
     fig.savefig(
         "/data/theorie/jthoeve/smefit_release/smefit_uv/results_uv_param/posteriors_phi_5.png"
     )
@@ -555,4 +552,3 @@ def get_bounds(collection, mod_nrs):
     ],
     ["48_10", "T1_10", "49_10", "T2_10", "5_5", "Varphi_5", "Q1_Q7_W_NoDegen"],
 )
-
diff --git a/src/smefit/analyze/chi2_utils.py b/src/smefit/analyze/chi2_utils.py
index b8ee4567..b4e12f43 100644
--- a/src/smefit/analyze/chi2_utils.py
+++ b/src/smefit/analyze/chi2_utils.py
@@ -368,7 +368,7 @@ def plot_dist(self, chi2_hist, fig_name, figsize=(7, 5)):
         plt.figure(figsize=figsize)
         ax = plt.subplot(111)
 
-        for (label, chi2_list) in chi2_hist.items():
+        for label, chi2_list in chi2_hist.items():
             ax.hist(
                 chi2_list,
                 bins="fd",
diff --git a/src/smefit/analyze/coefficients_utils.py b/src/smefit/analyze/coefficients_utils.py
index e1348639..71ec69ba 100644
--- a/src/smefit/analyze/coefficients_utils.py
+++ b/src/smefit/analyze/coefficients_utils.py
@@ -651,10 +651,13 @@ def plot_posteriors(self, posteriors, labels, disjointed_lists=None):
                     continue
                 solution = posterior[l]
 
-                if disjointed_lists[clr_idx] is not None and l in disjointed_lists[clr_idx]:
+                if (
+                    disjointed_lists[clr_idx] is not None
+                    and l in disjointed_lists[clr_idx]
+                ):
                     solution1, solution2 = split_solution(posterior[l])
-                    bins_solution1 = np.histogram_bin_edges(solution1, bins='fd')
-                    bins_solution2 = np.histogram_bin_edges(solution2, bins='fd')
+                    bins_solution1 = np.histogram_bin_edges(solution1, bins="fd")
+                    bins_solution2 = np.histogram_bin_edges(solution2, bins="fd")
 
                     ax.hist(
                         solution,
@@ -828,9 +831,9 @@ def plot_contours_2d(
                     kde=kde,
                     clr_idx=clr_idx,
                     confidence_level=cl,
-                    double_solution=list(double_solution.values())[clr_idx]
-                    if kde
-                    else None,
+                    double_solution=(
+                        list(double_solution.values())[clr_idx] if kde else None
+                    ),
                 )
                 hndls_all.append(hndls_contours)
 
diff --git a/src/smefit/analyze/html_utils.py b/src/smefit/analyze/html_utils.py
index 844e409e..e69241f3 100644
--- a/src/smefit/analyze/html_utils.py
+++ b/src/smefit/analyze/html_utils.py
@@ -81,7 +81,7 @@ def write_html_container(title, figs=None, links=None, dataFrame=None):
             + "</div> \n"
         )
     if links is not None:
-        for (file, label) in links:
+        for file, label in links:
             text += "</br> \n" + html_link(f"{file}.html", label)
 
     if figs is not None:
diff --git a/src/smefit/analyze/report.py b/src/smefit/analyze/report.py
index 1d549886..2e1e51b5 100644
--- a/src/smefit/analyze/report.py
+++ b/src/smefit/analyze/report.py
@@ -237,9 +237,11 @@ def coefficients(
                 fit.results,
                 coeff_plt.coeff_info,
                 fit.has_posterior,
-                double_solution.get(fit.name, None)
-                if double_solution is not None
-                else None,
+                (
+                    double_solution.get(fit.name, None)
+                    if double_solution is not None
+                    else None
+                ),
             )
 
         if scatter_plot is not None:
@@ -322,9 +324,11 @@ def coefficients(
         if posterior_histograms:
             _logger.info("Plotting : Posterior histograms")
             disjointed_lists = [
-                double_solution.get(fit.name, None)
-                if double_solution is not None
-                else None
+                (
+                    double_solution.get(fit.name, None)
+                    if double_solution is not None
+                    else None
+                )
                 for fit in self.fits
             ]
             coeff_plt.plot_posteriors(
diff --git a/src/smefit/loader.py b/src/smefit/loader.py
index 08d755a6..29bab79b 100644
--- a/src/smefit/loader.py
+++ b/src/smefit/loader.py
@@ -619,9 +619,11 @@ def get_dataset(datasets, data_name):
         datasets.SMTheory[posix_in:posix_out],
         datasets.OperatorsNames,
         datasets.LinearCorrections[posix_in:posix_out],
-        datasets.QuadraticCorrections[posix_in:posix_out]
-        if datasets.QuadraticCorrections is not None
-        else None,
+        (
+            datasets.QuadraticCorrections[posix_in:posix_out]
+            if datasets.QuadraticCorrections is not None
+            else None
+        ),
         data_name,
         ndata,
         datasets.InvCovMat[posix_in:posix_out].T[posix_in:posix_out],
diff --git a/src/smefit/optimize/mc.py b/src/smefit/optimize/mc.py
index e9d2fffa..c4ebea24 100644
--- a/src/smefit/optimize/mc.py
+++ b/src/smefit/optimize/mc.py
@@ -17,7 +17,6 @@
 
 
 class MCOptimizer(Optimizer):
-
     """Optimizer specification for |MC|.
 
     Parameters
diff --git a/src/smefit/projections/__init__.py b/src/smefit/projections/__init__.py
index 08391acf..ddac8a72 100644
--- a/src/smefit/projections/__init__.py
+++ b/src/smefit/projections/__init__.py
@@ -166,7 +166,6 @@ def rescale_sys(self, sys, fred_sys):
 
     @staticmethod
     def rescale_stat(stat, lumi_old, lumi_new):
-
         """
         Projects the statistical uncertainties from lumi_old to lumi_new
 

From 0a422f1379b691631adcb277bb8510cfc451c326 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Tue, 5 Nov 2024 11:06:11 +0100
Subject: [PATCH 13/47] Added workflow

---
 .github/workflows/black.yml | 14 ++++++++++++++
 1 file changed, 14 insertions(+)
 create mode 100644 .github/workflows/black.yml

diff --git a/.github/workflows/black.yml b/.github/workflows/black.yml
new file mode 100644
index 00000000..9c4208a8
--- /dev/null
+++ b/.github/workflows/black.yml
@@ -0,0 +1,14 @@
+name: Lint with Black
+
+on:
+  push:
+    branches: [ "main" ]
+  pull_request:
+    branches: [ "main" ]
+
+jobs:
+  lint:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v3
+      - uses: psf/black@stable
\ No newline at end of file

From 369cb04358fb2c1833514a05e021f012cebbdcc7 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Tue, 5 Nov 2024 12:38:02 +0100
Subject: [PATCH 14/47] removed workflow

---
 .github/workflows/black.yml | 14 --------------
 1 file changed, 14 deletions(-)
 delete mode 100644 .github/workflows/black.yml

diff --git a/.github/workflows/black.yml b/.github/workflows/black.yml
deleted file mode 100644
index 9c4208a8..00000000
--- a/.github/workflows/black.yml
+++ /dev/null
@@ -1,14 +0,0 @@
-name: Lint with Black
-
-on:
-  push:
-    branches: [ "main" ]
-  pull_request:
-    branches: [ "main" ]
-
-jobs:
-  lint:
-    runs-on: ubuntu-latest
-    steps:
-      - uses: actions/checkout@v3
-      - uses: psf/black@stable
\ No newline at end of file

From d696d3c1e81e9cdafe072a5babe4ac662bedd3f5 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Tue, 5 Nov 2024 14:45:17 +0000
Subject: [PATCH 15/47] adding pre-commit action

---
 .github/workflows/pre-commit.yml | 9 +++++++++
 1 file changed, 9 insertions(+)
 create mode 100644 .github/workflows/pre-commit.yml

diff --git a/.github/workflows/pre-commit.yml b/.github/workflows/pre-commit.yml
new file mode 100644
index 00000000..acc3a971
--- /dev/null
+++ b/.github/workflows/pre-commit.yml
@@ -0,0 +1,9 @@
+# .github/workflows/pre-commit.yml
+name: Pre-commit
+on: [push]
+jobs:
+  pre-commit:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v2
+      - uses: pre-commit/action@v2.0.3

From 32c72aaf3d6da7989e3d792b0471cd276bc3f8d4 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Tue, 5 Nov 2024 14:50:21 +0000
Subject: [PATCH 16/47] reformatting all existing code

---
 .github/workflows/deploy.yml                  |    2 +-
 .github/workflows/pre-commit.yml              |    2 +
 docs/source/_static/LO_NLO_linear/index.html  |  308 ++--
 .../meta/coefficient_summary.tex              |    6 +-
 .../meta/pca_table_NS_GLOBAL_LO_NHO.tex       |  982 ++++++-------
 .../meta/pca_table_NS_GLOBAL_NLO_NHO.tex      | 1258 ++++++++---------
 .../_static/LO_NLO_quadratic/index.html       |  308 ++--
 .../meta/coefficient_summary.tex              |    6 +-
 .../meta/pca_table_NS_GLOBAL_LO_HO.tex        |  982 ++++++-------
 .../meta/pca_table_NS_GLOBAL_NLO_HO.tex       | 1258 ++++++++---------
 .../_static/report_STXS_2020/index.html       |  156 +-
 .../pca_table_STXS_2020_public_release.tex    |  682 ++++-----
 .../_static/report_smefit20_linear/index.html |  228 +--
 .../meta/chi2_tables.css                      |    5 +-
 .../meta/coefficient_summary.css              |    5 +-
 .../meta/coefficient_summary.tex              |    6 +-
 .../meta/coefficients_table.css               |    5 +-
 .../meta/dataset_summary.css                  |    5 +-
 .../meta/pca_table_mult_prescr_lin.css        |    5 +-
 .../meta/pca_table_mult_prescr_lin.tex        | 1016 ++++++-------
 .../_static/report_smefit20_quad/index.html   |  176 +--
 .../meta/coefficient_summary.tex              |    6 +-
 .../meta/pca_table_mult_prescr_quad.tex       | 1016 ++++++-------
 docs/source/data_theory/covariance.rst        |   27 +-
 docs/source/data_theory/data.md               |    6 +-
 docs/source/data_theory/theory.rst            |    8 +-
 docs/source/report/links.rst                  |    6 +-
 docs/source/shared/abbreviations.rst          |    2 +-
 rotations/fitbasis_28_pars.json               |    2 +-
 ...InvarsFit_Fitmaker_Model_21_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_22_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_23_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_24_Mass_1_Tree.py |    1 +
 .../InvarsFit_Fitmaker_Model_2_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_37_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_38_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_39_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_40_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_41_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_42_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_43_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_44_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_46_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_47_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_48_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_49_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_50_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_51_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_52_Mass_1_Tree.py |    1 +
 ...InvarsFit_Fitmaker_Model_53_Mass_1_Tree.py |    1 +
 .../InvarsFit_Fitmaker_Model_5_Mass_1_Tree.py |    1 +
 .../InvarsFit_Fitmaker_Model_6_Mass_1_Tree.py |    1 +
 .../InvarsFit_Granada_Model_10_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_12_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_15_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_16_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_18_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_19_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_20_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_21_Mass_1_Tree.py |   60 +-
 .../InvarsFit_Granada_Model_22_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_23_Mass_1_Tree.py |   36 +-
 .../InvarsFit_Granada_Model_24_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_25_Mass_1_Tree.py |   15 +-
 .../InvarsFit_Granada_Model_27_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_28_Mass_1_Tree.py |    5 +-
 .../InvarsFit_Granada_Model_2_Mass_1_Tree.py  |    8 +-
 .../InvarsFit_Granada_Model_33_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_36_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_37_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_38_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_39_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_3_Mass_1_Tree.py  |   12 +-
 .../InvarsFit_Granada_Model_40_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_41_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_42_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_43_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_44_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_45_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_47_Mass_1_Tree.py |    8 +-
 ...InvarsFit_Granada_Model_48_Mass_10_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_48_Mass_1_Tree.py |    8 +-
 ...InvarsFit_Granada_Model_49_Mass_10_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_49_Mass_1_Tree.py |    8 +-
 .../InvarsFit_Granada_Model_5_Mass_10_Tree.py |   15 +-
 .../InvarsFit_Granada_Model_5_Mass_1_Tree.py  |   15 +-
 .../InvarsFit_Granada_Model_6_Mass_1_Tree.py  |    8 +-
 .../InvarsFit_Granada_Model_7_Mass_1_Tree.py  |    8 +-
 ...dict_Coll_Granada_Mod_49_Mass_10_Tree.yaml |    2 +-
 ...cleCollection_Model_Q1_Q7_W_Mass_1_Tree.py |    1 +
 ...ion_Model_Q1_Q7_W_NoDegen_Mass_342_Tree.py |    1 +
 ...InvarsFit_OneLoop_Model_T1_Mass_10_Loop.py |    8 +-
 .../InvarsFit_OneLoop_Model_T1_Mass_1_Loop.py |   14 +-
 ...InvarsFit_OneLoop_Model_T2_Mass_10_Loop.py |    8 +-
 .../InvarsFit_OneLoop_Model_T2_Mass_1_Loop.py |    8 +-
 ...rsFit_OneLoop_Model_Varphi_Mass_10_Loop.py |   15 +-
 ...arsFit_OneLoop_Model_Varphi_Mass_1_Tree.py |    3 +-
 runcards/uv_models/write_runcards.py          |    6 +-
 smefit_uv/fcc_bounds.py                       |   12 +-
 smefit_uv/latex_dicts.py                      |    1 +
 src/smefit/chi2.py                            |    2 +-
 src/smefit/compute_theory.py                  |    2 +-
 tests/fake_data/data_test4.yaml               |    2 +-
 theory/STXS_2020_public_final.json            |    2 +-
 104 files changed, 4506 insertions(+), 4468 deletions(-)

diff --git a/.github/workflows/deploy.yml b/.github/workflows/deploy.yml
index 7e7f1e59..918ff24c 100644
--- a/.github/workflows/deploy.yml
+++ b/.github/workflows/deploy.yml
@@ -28,4 +28,4 @@ jobs:
           python -m pip install --upgrade build
           python -m build
       - name: Publish package distributions to PyPI
-        uses: pypa/gh-action-pypi-publish@release/v1
\ No newline at end of file
+        uses: pypa/gh-action-pypi-publish@release/v1
diff --git a/.github/workflows/pre-commit.yml b/.github/workflows/pre-commit.yml
index acc3a971..184c8c82 100644
--- a/.github/workflows/pre-commit.yml
+++ b/.github/workflows/pre-commit.yml
@@ -7,3 +7,5 @@ jobs:
     steps:
       - uses: actions/checkout@v2
       - uses: pre-commit/action@v2.0.3
+        with:
+          extra_args: '--all-files'
diff --git a/docs/source/_static/LO_NLO_linear/index.html b/docs/source/_static/LO_NLO_linear/index.html
index 0872c40e..79415355 100644
--- a/docs/source/_static/LO_NLO_linear/index.html
+++ b/docs/source/_static/LO_NLO_linear/index.html
@@ -30,26 +30,26 @@
       <div class="one-half column">
         <nav class="menu docs-menu">
           <ul>
-            <li><a href=#Summary>Summary</a></li> 
-<li><a href=#Chi2>Chi2</a></li> 
-<li><a href=#Coefficients>Coefficients</a></li> 
-<li><a href=#Correlations>Correlations</a></li> 
-<li><a href=#PCA>PCA</a></li> 
-<li><a href=#Fisher>Fisher</a></li> 
+            <li><a href=#Summary>Summary</a></li>
+<li><a href=#Chi2>Chi2</a></li>
+<li><a href=#Coefficients>Coefficients</a></li>
+<li><a href=#Correlations>Correlations</a></li>
+<li><a href=#PCA>PCA</a></li>
+<li><a href=#Fisher>Fisher</a></li>
 
           </ul>
         </nav>
       </div>
     </div>
 
-    
-        <div class='container'> 
 
-        <h2 id='Summary'> Summary</h2> 
+        <div class='container'>
 
-        <div class="three-fourth column markdown-body"> 
+        <h2 id='Summary'> Summary</h2>
 
-    <div class='table'> 
+        <div class="three-fourth column markdown-body">
+
+    <div class='table'>
 <table class="dataframe">
   <thead>
     <tr style="text-align: center;">
@@ -75,268 +75,268 @@ <h2 id='Summary'> Summary</h2>
       <td>15119</td>
     </tr>
   </tbody>
-</table></div> 
-</br> 
-<li><a href=meta/dataset_summary.html>Dataset summary</a></li> 
-</br> 
-<li><a href=meta/coefficient_summary.html>Coefficient summary</a></li> 
+</table></div>
+</br>
+<li><a href=meta/dataset_summary.html>Dataset summary</a></li>
+</br>
+<li><a href=meta/coefficient_summary.html>Coefficient summary</a></li>
+
+        <div class='container'>
+
+        <h2 id='Chi2'> Chi2</h2>
+
+        <div class="three-fourth column markdown-body">
+
+    </br>
+<li><a href=meta/chi2_tables.html>Tables</a></li>
+
+        <div class="figiterwrapper">
+
+        <figure>
+
+        <img src="meta/chi2_bar.png"/>
+
+        <figcaption aria-hidden="true">
+
+        <a href="meta/chi2_bar.png">.png</a>
+
+        <a href="meta/chi2_bar.pdf">.pdf</a>
+
+        </figcaption>
+
+        </figure>
 
-        <div class='container'> 
+        </div>
 
-        <h2 id='Chi2'> Chi2</h2> 
 
-        <div class="three-fourth column markdown-body"> 
+        <div class="figiterwrapper">
 
-    </br> 
-<li><a href=meta/chi2_tables.html>Tables</a></li> 
+        <figure>
 
-        <div class="figiterwrapper"> 
+        <img src="meta/chi2_histo.png"/>
 
-        <figure> 
+        <figcaption aria-hidden="true">
 
-        <img src="meta/chi2_bar.png"/> 
+        <a href="meta/chi2_histo.png">.png</a>
 
-        <figcaption aria-hidden="true"> 
+        <a href="meta/chi2_histo.pdf">.pdf</a>
 
-        <a href="meta/chi2_bar.png">.png</a> 
+        </figcaption>
 
-        <a href="meta/chi2_bar.pdf">.pdf</a> 
+        </figure>
 
-        </figcaption> 
+        </div>
 
-        </figure> 
 
-        </div> 
+        <div class='container'>
 
-    
-        <div class="figiterwrapper"> 
+        <h2 id='Coefficients'> Coefficients</h2>
 
-        <figure> 
+        <div class="three-fourth column markdown-body">
 
-        <img src="meta/chi2_histo.png"/> 
+    </br>
+<li><a href=meta/coefficients_table.html>CL table</a></li>
 
-        <figcaption aria-hidden="true"> 
+        <div class="figiterwrapper">
 
-        <a href="meta/chi2_histo.png">.png</a> 
+        <figure>
 
-        <a href="meta/chi2_histo.pdf">.pdf</a> 
+        <img src="meta/coefficient_central.png"/>
 
-        </figcaption> 
+        <figcaption aria-hidden="true">
 
-        </figure> 
+        <a href="meta/coefficient_central.png">.png</a>
 
-        </div> 
+        <a href="meta/coefficient_central.pdf">.pdf</a>
 
-    
-        <div class='container'> 
+        </figcaption>
 
-        <h2 id='Coefficients'> Coefficients</h2> 
+        </figure>
 
-        <div class="three-fourth column markdown-body"> 
+        </div>
 
-    </br> 
-<li><a href=meta/coefficients_table.html>CL table</a></li> 
 
-        <div class="figiterwrapper"> 
+        <div class="figiterwrapper">
 
-        <figure> 
+        <figure>
 
-        <img src="meta/coefficient_central.png"/> 
+        <img src="meta/coefficient_bar.png"/>
 
-        <figcaption aria-hidden="true"> 
+        <figcaption aria-hidden="true">
 
-        <a href="meta/coefficient_central.png">.png</a> 
+        <a href="meta/coefficient_bar.png">.png</a>
 
-        <a href="meta/coefficient_central.pdf">.pdf</a> 
+        <a href="meta/coefficient_bar.pdf">.pdf</a>
 
-        </figcaption> 
+        </figcaption>
 
-        </figure> 
+        </figure>
 
-        </div> 
+        </div>
 
-    
-        <div class="figiterwrapper"> 
 
-        <figure> 
+        <div class="figiterwrapper">
 
-        <img src="meta/coefficient_bar.png"/> 
+        <figure>
 
-        <figcaption aria-hidden="true"> 
+        <img src="meta/coefficient_histo.png"/>
 
-        <a href="meta/coefficient_bar.png">.png</a> 
+        <figcaption aria-hidden="true">
 
-        <a href="meta/coefficient_bar.pdf">.pdf</a> 
+        <a href="meta/coefficient_histo.png">.png</a>
 
-        </figcaption> 
+        <a href="meta/coefficient_histo.pdf">.pdf</a>
 
-        </figure> 
+        </figcaption>
 
-        </div> 
+        </figure>
 
-    
-        <div class="figiterwrapper"> 
+        </div>
 
-        <figure> 
 
-        <img src="meta/coefficient_histo.png"/> 
+        <div class='container'>
 
-        <figcaption aria-hidden="true"> 
+        <h2 id='Correlations'> Correlations</h2>
 
-        <a href="meta/coefficient_histo.png">.png</a> 
+        <div class="three-fourth column markdown-body">
 
-        <a href="meta/coefficient_histo.pdf">.pdf</a> 
 
-        </figcaption> 
+        <div class="figiterwrapper">
 
-        </figure> 
+        <figure>
 
-        </div> 
+        <img src="meta/correlations_NS_GLOBAL_NLO_NHO.png"/>
 
-    
-        <div class='container'> 
+        <figcaption aria-hidden="true">
 
-        <h2 id='Correlations'> Correlations</h2> 
+        <a href="meta/correlations_NS_GLOBAL_NLO_NHO.png">.png</a>
 
-        <div class="three-fourth column markdown-body"> 
+        <a href="meta/correlations_NS_GLOBAL_NLO_NHO.pdf">.pdf</a>
 
-    
-        <div class="figiterwrapper"> 
+        </figcaption>
 
-        <figure> 
+        </figure>
 
-        <img src="meta/correlations_NS_GLOBAL_NLO_NHO.png"/> 
+        </div>
 
-        <figcaption aria-hidden="true"> 
 
-        <a href="meta/correlations_NS_GLOBAL_NLO_NHO.png">.png</a> 
+        <div class="figiterwrapper">
 
-        <a href="meta/correlations_NS_GLOBAL_NLO_NHO.pdf">.pdf</a> 
+        <figure>
 
-        </figcaption> 
+        <img src="meta/correlations_NS_GLOBAL_LO_NHO.png"/>
 
-        </figure> 
+        <figcaption aria-hidden="true">
 
-        </div> 
+        <a href="meta/correlations_NS_GLOBAL_LO_NHO.png">.png</a>
 
-    
-        <div class="figiterwrapper"> 
+        <a href="meta/correlations_NS_GLOBAL_LO_NHO.pdf">.pdf</a>
 
-        <figure> 
+        </figcaption>
 
-        <img src="meta/correlations_NS_GLOBAL_LO_NHO.png"/> 
+        </figure>
 
-        <figcaption aria-hidden="true"> 
+        </div>
 
-        <a href="meta/correlations_NS_GLOBAL_LO_NHO.png">.png</a> 
 
-        <a href="meta/correlations_NS_GLOBAL_LO_NHO.pdf">.pdf</a> 
+        <div class='container'>
 
-        </figcaption> 
+        <h2 id='PCA'> PCA</h2>
 
-        </figure> 
+        <div class="three-fourth column markdown-body">
 
-        </div> 
+    </br>
+<li><a href=meta/pca_table_NS_GLOBAL_NLO_NHO.html>Table  NS  NLO linear</a></li>
+</br>
+<li><a href=meta/pca_table_NS_GLOBAL_LO_NHO.html>Table  NS  LO linear</a></li>
 
-    
-        <div class='container'> 
+        <div class="figiterwrapper">
 
-        <h2 id='PCA'> PCA</h2> 
+        <figure>
 
-        <div class="three-fourth column markdown-body"> 
+        <img src="meta/pca_heatmap_NS_GLOBAL_NLO_NHO.png"/>
 
-    </br> 
-<li><a href=meta/pca_table_NS_GLOBAL_NLO_NHO.html>Table  NS  NLO linear</a></li> 
-</br> 
-<li><a href=meta/pca_table_NS_GLOBAL_LO_NHO.html>Table  NS  LO linear</a></li> 
+        <figcaption aria-hidden="true">
 
-        <div class="figiterwrapper"> 
+        <a href="meta/pca_heatmap_NS_GLOBAL_NLO_NHO.png">.png</a>
 
-        <figure> 
+        <a href="meta/pca_heatmap_NS_GLOBAL_NLO_NHO.pdf">.pdf</a>
 
-        <img src="meta/pca_heatmap_NS_GLOBAL_NLO_NHO.png"/> 
+        </figcaption>
 
-        <figcaption aria-hidden="true"> 
+        </figure>
 
-        <a href="meta/pca_heatmap_NS_GLOBAL_NLO_NHO.png">.png</a> 
+        </div>
 
-        <a href="meta/pca_heatmap_NS_GLOBAL_NLO_NHO.pdf">.pdf</a> 
 
-        </figcaption> 
+        <div class="figiterwrapper">
 
-        </figure> 
+        <figure>
 
-        </div> 
+        <img src="meta/pca_heatmap_NS_GLOBAL_LO_NHO.png"/>
 
-    
-        <div class="figiterwrapper"> 
+        <figcaption aria-hidden="true">
 
-        <figure> 
+        <a href="meta/pca_heatmap_NS_GLOBAL_LO_NHO.png">.png</a>
 
-        <img src="meta/pca_heatmap_NS_GLOBAL_LO_NHO.png"/> 
+        <a href="meta/pca_heatmap_NS_GLOBAL_LO_NHO.pdf">.pdf</a>
 
-        <figcaption aria-hidden="true"> 
+        </figcaption>
 
-        <a href="meta/pca_heatmap_NS_GLOBAL_LO_NHO.png">.png</a> 
+        </figure>
 
-        <a href="meta/pca_heatmap_NS_GLOBAL_LO_NHO.pdf">.pdf</a> 
+        </div>
 
-        </figcaption> 
 
-        </figure> 
+        <div class='container'>
 
-        </div> 
+        <h2 id='Fisher'> Fisher</h2>
 
-    
-        <div class='container'> 
+        <div class="three-fourth column markdown-body">
 
-        <h2 id='Fisher'> Fisher</h2> 
+    </br>
+<li><a href=meta/fisher_NS_GLOBAL_NLO_NHO.html>Table  NS  NLO linear</a></li>
+</br>
+<li><a href=meta/fisher_NS_GLOBAL_LO_NHO.html>Table  NS  LO linear</a></li>
 
-        <div class="three-fourth column markdown-body"> 
+        <div class="figiterwrapper">
 
-    </br> 
-<li><a href=meta/fisher_NS_GLOBAL_NLO_NHO.html>Table  NS  NLO linear</a></li> 
-</br> 
-<li><a href=meta/fisher_NS_GLOBAL_LO_NHO.html>Table  NS  LO linear</a></li> 
+        <figure>
 
-        <div class="figiterwrapper"> 
+        <img src="meta/fisher_heatmap_NS_GLOBAL_NLO_NHO.png"/>
 
-        <figure> 
+        <figcaption aria-hidden="true">
 
-        <img src="meta/fisher_heatmap_NS_GLOBAL_NLO_NHO.png"/> 
+        <a href="meta/fisher_heatmap_NS_GLOBAL_NLO_NHO.png">.png</a>
 
-        <figcaption aria-hidden="true"> 
+        <a href="meta/fisher_heatmap_NS_GLOBAL_NLO_NHO.pdf">.pdf</a>
 
-        <a href="meta/fisher_heatmap_NS_GLOBAL_NLO_NHO.png">.png</a> 
+        </figcaption>
 
-        <a href="meta/fisher_heatmap_NS_GLOBAL_NLO_NHO.pdf">.pdf</a> 
+        </figure>
 
-        </figcaption> 
+        </div>
 
-        </figure> 
 
-        </div> 
+        <div class="figiterwrapper">
 
-    
-        <div class="figiterwrapper"> 
+        <figure>
 
-        <figure> 
+        <img src="meta/fisher_heatmap_NS_GLOBAL_LO_NHO.png"/>
 
-        <img src="meta/fisher_heatmap_NS_GLOBAL_LO_NHO.png"/> 
+        <figcaption aria-hidden="true">
 
-        <figcaption aria-hidden="true"> 
+        <a href="meta/fisher_heatmap_NS_GLOBAL_LO_NHO.png">.png</a>
 
-        <a href="meta/fisher_heatmap_NS_GLOBAL_LO_NHO.png">.png</a> 
+        <a href="meta/fisher_heatmap_NS_GLOBAL_LO_NHO.pdf">.pdf</a>
 
-        <a href="meta/fisher_heatmap_NS_GLOBAL_LO_NHO.pdf">.pdf</a> 
+        </figcaption>
 
-        </figcaption> 
+        </figure>
 
-        </figure> 
+        </div>
 
-        </div> 
 
-    
 
 </body>
 </html>
diff --git a/docs/source/_static/LO_NLO_linear/meta/coefficient_summary.tex b/docs/source/_static/LO_NLO_linear/meta/coefficient_summary.tex
index 4d38a712..bd5d6231 100644
--- a/docs/source/_static/LO_NLO_linear/meta/coefficient_summary.tex
+++ b/docs/source/_static/LO_NLO_linear/meta/coefficient_summary.tex
@@ -62,14 +62,14 @@
  & $c_{dt}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{dt}^{1}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{qd}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
- & $c_{qd}^{1}$ & $\checkmark$ &  & $\checkmark$ & 
+ & $c_{qd}^{1}$ & $\checkmark$ &  & $\checkmark$ &
 \\ \hline
 \multirow{5}{*}{4Q}
  & $c_{QQ}^{1}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{QQ}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{Qt}^{1}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{Qt}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
- & $c_{tt}^{1}$ & $\checkmark$ &  & $\checkmark$ & 
+ & $c_{tt}^{1}$ & $\checkmark$ &  & $\checkmark$ &
 \\ \hline
 \multirow{7}{*}{B}
  & $c_{\varphi G}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
@@ -78,7 +78,7 @@
  & $c_{\varphi WB}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{\varphi \Box}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{\varphi D}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
- & $c_{WWW}$ & $\checkmark$ &  & $\checkmark$ & 
+ & $c_{WWW}$ & $\checkmark$ &  & $\checkmark$ &
 \\ \hline
 \hline & Number fitted coefficients & 36 &  & 36 &  \\ \hline
 \end{tabular}
diff --git a/docs/source/_static/LO_NLO_linear/meta/pca_table_NS_GLOBAL_LO_NHO.tex b/docs/source/_static/LO_NLO_linear/meta/pca_table_NS_GLOBAL_LO_NHO.tex
index 4a6b8786..db42a812 100644
--- a/docs/source/_static/LO_NLO_linear/meta/pca_table_NS_GLOBAL_LO_NHO.tex
+++ b/docs/source/_static/LO_NLO_linear/meta/pca_table_NS_GLOBAL_LO_NHO.tex
@@ -20,530 +20,530 @@
 \begin{document}
 \noindent \underline{\bf{Principal Components Analysis}:} \rm NS\ \ LO\ linear\\ \\ \\
 \noindent \textcolor{red}{\underline{\bf{PC00} (5.90e+05):}}
-{$+0.699$}{\rm $c_{\varphi G}$} 
-{$-0.597$}{\rm $c_{\varphi B}$} 
-{$+0.334$}{\rm $c_{\varphi WB}$} 
-{$-0.182$}{\rm $c_{\varphi W}$} 
-{$+0.085$}{\rm $c_{b \varphi}$} 
-{$-0.036$}{\rm $c_{tW}$} 
-{$+0.032$}{\rm $c_{tZ}$} 
-{$+0.028$}{\rm $c_{c \varphi}$} 
-{$+0.026$}{\rm $c_{tG}$} 
-{$+0.012$}{\rm $c_{\tau \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.699$}{\rm $c_{\varphi G}$}
+{$-0.597$}{\rm $c_{\varphi B}$}
+{$+0.334$}{\rm $c_{\varphi WB}$}
+{$-0.182$}{\rm $c_{\varphi W}$}
+{$+0.085$}{\rm $c_{b \varphi}$}
+{$-0.036$}{\rm $c_{tW}$}
+{$+0.032$}{\rm $c_{tZ}$}
+{$+0.028$}{\rm $c_{c \varphi}$}
+{$+0.026$}{\rm $c_{tG}$}
+{$+0.012$}{\rm $c_{\tau \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC01} (2.07e+05):}}
-{$+0.709$}{\rm $c_{\varphi G}$} 
-{$+0.594$}{\rm $c_{\varphi B}$} 
-{$-0.327$}{\rm $c_{\varphi WB}$} 
-{$+0.181$}{\rm $c_{\varphi W}$} 
-{$+0.036$}{\rm $c_{tW}$} 
-{$+0.033$}{\rm $c_{b \varphi}$} 
-{$-0.032$}{\rm $c_{tZ}$} 
-{$+0.029$}{\rm $c_{tG}$} 
-{$+0.011$}{\rm $c_{c \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.709$}{\rm $c_{\varphi G}$}
+{$+0.594$}{\rm $c_{\varphi B}$}
+{$-0.327$}{\rm $c_{\varphi WB}$}
+{$+0.181$}{\rm $c_{\varphi W}$}
+{$+0.036$}{\rm $c_{tW}$}
+{$+0.033$}{\rm $c_{b \varphi}$}
+{$-0.032$}{\rm $c_{tZ}$}
+{$+0.029$}{\rm $c_{tG}$}
+{$+0.011$}{\rm $c_{c \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC02} (4.25e+03):}}
-{$+0.879$}{\rm $c_{\tau \varphi}$} 
-{$-0.360$}{\rm $c_{b \varphi}$} 
-{$-0.233$}{\rm $c_{\varphi WB}$} 
-{$-0.136$}{\rm $c_{\varphi D}$} 
-{$-0.127$}{\rm $c_{\varphi B}$} 
-{$-0.087$}{\rm $c_{c \varphi}$} 
-{$+0.030$}{\rm $c_{\varphi G}$} 
-{$-0.017$}{\rm $c_{\varphi W}$} 
-{$+0.013$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.879$}{\rm $c_{\tau \varphi}$}
+{$-0.360$}{\rm $c_{b \varphi}$}
+{$-0.233$}{\rm $c_{\varphi WB}$}
+{$-0.136$}{\rm $c_{\varphi D}$}
+{$-0.127$}{\rm $c_{\varphi B}$}
+{$-0.087$}{\rm $c_{c \varphi}$}
+{$+0.030$}{\rm $c_{\varphi G}$}
+{$-0.017$}{\rm $c_{\varphi W}$}
+{$+0.013$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC03} (2.78e+03):}}
-{$-0.747$}{\rm $c_{\varphi WB}$} 
-{$-0.433$}{\rm $c_{\varphi D}$} 
-{$-0.397$}{\rm $c_{\varphi B}$} 
-{$-0.290$}{\rm $c_{\tau \varphi}$} 
-{$+0.071$}{\rm $c_{c \varphi}$} 
-{$+0.065$}{\rm $c_{b \varphi}$} 
-{$-0.050$}{\rm $c_{\varphi W}$} 
-{$-0.023$}{\rm $c_{tW}$} 
-{$+0.021$}{\rm $c_{tZ}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.747$}{\rm $c_{\varphi WB}$}
+{$-0.433$}{\rm $c_{\varphi D}$}
+{$-0.397$}{\rm $c_{\varphi B}$}
+{$-0.290$}{\rm $c_{\tau \varphi}$}
+{$+0.071$}{\rm $c_{c \varphi}$}
+{$+0.065$}{\rm $c_{b \varphi}$}
+{$-0.050$}{\rm $c_{\varphi W}$}
+{$-0.023$}{\rm $c_{tW}$}
+{$+0.021$}{\rm $c_{tZ}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC04} (1.88e+03):}}
-{$-0.871$}{\rm $c_{b \varphi}$} 
-{$-0.378$}{\rm $c_{\tau \varphi}$} 
-{$-0.290$}{\rm $c_{c \varphi}$} 
-{$+0.079$}{\rm $c_{\varphi G}$} 
-{$+0.072$}{\rm $c_{tG}$} 
-{$+0.051$}{\rm $c_{\varphi WB}$} 
-{$-0.016$}{\rm $c_{\varphi B}$} 
-{$-0.013$}{\rm $c_{\varphi W}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.871$}{\rm $c_{b \varphi}$}
+{$-0.378$}{\rm $c_{\tau \varphi}$}
+{$-0.290$}{\rm $c_{c \varphi}$}
+{$+0.079$}{\rm $c_{\varphi G}$}
+{$+0.072$}{\rm $c_{tG}$}
+{$+0.051$}{\rm $c_{\varphi WB}$}
+{$-0.016$}{\rm $c_{\varphi B}$}
+{$-0.013$}{\rm $c_{\varphi W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC05} (2.86e+02):}}
-{$-0.989$}{\rm $c_{tG}$} 
-{$-0.067$}{\rm $c_{qq}^{1,8}$} 
-{$-0.064$}{\rm $c_{qt}^{8}$} 
-{$-0.058$}{\rm $c_{b \varphi}$} 
-{$+0.045$}{\rm $c_{\varphi G}$} 
-{$-0.042$}{\rm $c_{c \varphi}$} 
-{$-0.035$}{\rm $c_{qu}^{8}$} 
-{$-0.034$}{\rm $c_{ut}^{8}$} 
-{$-0.023$}{\rm $c_{qd}^{8}$} 
-{$-0.022$}{\rm $c_{dt}^{8}$} 
-{$-0.021$}{\rm $c_{qq}^{1,3}$} 
-{$+0.020$}{\rm $c_{tW}$} 
-{$-0.017$}{\rm $c_{\varphi \Box}$} 
-{$+0.016$}{\rm $c_{t \varphi}$} 
-{$-0.015$}{\rm $c_{\tau \varphi}$} 
-{$+0.013$}{\rm $c_{\varphi Q}^{(-)}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.989$}{\rm $c_{tG}$}
+{$-0.067$}{\rm $c_{qq}^{1,8}$}
+{$-0.064$}{\rm $c_{qt}^{8}$}
+{$-0.058$}{\rm $c_{b \varphi}$}
+{$+0.045$}{\rm $c_{\varphi G}$}
+{$-0.042$}{\rm $c_{c \varphi}$}
+{$-0.035$}{\rm $c_{qu}^{8}$}
+{$-0.034$}{\rm $c_{ut}^{8}$}
+{$-0.023$}{\rm $c_{qd}^{8}$}
+{$-0.022$}{\rm $c_{dt}^{8}$}
+{$-0.021$}{\rm $c_{qq}^{1,3}$}
+{$+0.020$}{\rm $c_{tW}$}
+{$-0.017$}{\rm $c_{\varphi \Box}$}
+{$+0.016$}{\rm $c_{t \varphi}$}
+{$-0.015$}{\rm $c_{\tau \varphi}$}
+{$+0.013$}{\rm $c_{\varphi Q}^{(-)}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC06} (2.18e+02):}}
-{$-0.950$}{\rm $c_{qq}^{1,3}$} 
-{$+0.300$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.082$}{\rm $c_{tW}$} 
-{$+0.023$}{\rm $c_{tG}$} 
-{$+0.014$}{\rm $c_{c \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.950$}{\rm $c_{qq}^{1,3}$}
+{$+0.300$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.082$}{\rm $c_{tW}$}
+{$+0.023$}{\rm $c_{tG}$}
+{$+0.014$}{\rm $c_{c \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC07} (1.02e+02):}}
-{$-0.868$}{\rm $c_{c \varphi}$} 
-{$-0.372$}{\rm $c_{\varphi W}$} 
-{$+0.286$}{\rm $c_{b \varphi}$} 
-{$+0.100$}{\rm $c_{tW}$} 
-{$+0.072$}{\rm $c_{\varphi B}$} 
-{$-0.070$}{\rm $c_{\varphi \Box}$} 
-{$-0.065$}{\rm $c_{\varphi WB}$} 
-{$-0.026$}{\rm $c_{\varphi D}$} 
-{$+0.021$}{\rm $c_{tG}$} 
-{$+0.013$}{\rm $c_{\tau \varphi}$} 
-{$+0.013$}{\rm $c_{t \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.868$}{\rm $c_{c \varphi}$}
+{$-0.372$}{\rm $c_{\varphi W}$}
+{$+0.286$}{\rm $c_{b \varphi}$}
+{$+0.100$}{\rm $c_{tW}$}
+{$+0.072$}{\rm $c_{\varphi B}$}
+{$-0.070$}{\rm $c_{\varphi \Box}$}
+{$-0.065$}{\rm $c_{\varphi WB}$}
+{$-0.026$}{\rm $c_{\varphi D}$}
+{$+0.021$}{\rm $c_{tG}$}
+{$+0.013$}{\rm $c_{\tau \varphi}$}
+{$+0.013$}{\rm $c_{t \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC08} (8.28e+01):}}
-{$-0.989$}{\rm $c_{tW}$} 
-{$-0.088$}{\rm $c_{c \varphi}$} 
-{$-0.084$}{\rm $c_{qq}^{1,3}$} 
-{$+0.060$}{\rm $c_{\varphi B}$} 
-{$+0.026$}{\rm $c_{b \varphi}$} 
-{$-0.024$}{\rm $c_{\varphi W}$} 
-{$-0.019$}{\rm $c_{tG}$} 
-{$+0.017$}{\rm $c_{qq}^{1,8}$} 
-{$+0.012$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.011$}{\rm $c_{\varphi WB}$} 
-{$+0.011$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.989$}{\rm $c_{tW}$}
+{$-0.088$}{\rm $c_{c \varphi}$}
+{$-0.084$}{\rm $c_{qq}^{1,3}$}
+{$+0.060$}{\rm $c_{\varphi B}$}
+{$+0.026$}{\rm $c_{b \varphi}$}
+{$-0.024$}{\rm $c_{\varphi W}$}
+{$-0.019$}{\rm $c_{tG}$}
+{$+0.017$}{\rm $c_{qq}^{1,8}$}
+{$+0.012$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.011$}{\rm $c_{\varphi WB}$}
+{$+0.011$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC09} (5.20e+01):}}
-{$+0.568$}{\rm $c_{qt}^{8}$} 
-{$-0.514$}{\rm $c_{qq}^{1,8}$} 
-{$+0.405$}{\rm $c_{qu}^{8}$} 
-{$-0.372$}{\rm $c_{ut}^{8}$} 
-{$-0.247$}{\rm $c_{qq}^{8,3}$} 
-{$+0.163$}{\rm $c_{qd}^{8}$} 
-{$-0.147$}{\rm $c_{dt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.568$}{\rm $c_{qt}^{8}$}
+{$-0.514$}{\rm $c_{qq}^{1,8}$}
+{$+0.405$}{\rm $c_{qu}^{8}$}
+{$-0.372$}{\rm $c_{ut}^{8}$}
+{$-0.247$}{\rm $c_{qq}^{8,3}$}
+{$+0.163$}{\rm $c_{qd}^{8}$}
+{$-0.147$}{\rm $c_{dt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC10} (2.29e+01):}}
-{$-0.570$}{\rm $c_{\varphi W}$} 
-{$+0.455$}{\rm $c_{qq}^{1,8}$} 
-{$+0.395$}{\rm $c_{qt}^{8}$} 
-{$+0.265$}{\rm $c_{ut}^{8}$} 
-{$+0.244$}{\rm $c_{c \varphi}$} 
-{$+0.233$}{\rm $c_{qu}^{8}$} 
-{$+0.200$}{\rm $c_{\varphi B}$} 
-{$-0.171$}{\rm $c_{\varphi D}$} 
-{$+0.140$}{\rm $c_{dt}^{8}$} 
-{$+0.126$}{\rm $c_{qd}^{8}$} 
-{$-0.090$}{\rm $c_{tG}$} 
-{$-0.080$}{\rm $c_{b \varphi}$} 
-{$-0.060$}{\rm $c_{qq}^{8,3}$} 
-{$+0.049$}{\rm $c_{\varphi WB}$} 
-{$-0.038$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.024$}{\rm $c_{\varphi t}$} 
-{$-0.018$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.018$}{\rm $c_{tW}$} 
-{$-0.012$}{\rm $c_{t \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.570$}{\rm $c_{\varphi W}$}
+{$+0.455$}{\rm $c_{qq}^{1,8}$}
+{$+0.395$}{\rm $c_{qt}^{8}$}
+{$+0.265$}{\rm $c_{ut}^{8}$}
+{$+0.244$}{\rm $c_{c \varphi}$}
+{$+0.233$}{\rm $c_{qu}^{8}$}
+{$+0.200$}{\rm $c_{\varphi B}$}
+{$-0.171$}{\rm $c_{\varphi D}$}
+{$+0.140$}{\rm $c_{dt}^{8}$}
+{$+0.126$}{\rm $c_{qd}^{8}$}
+{$-0.090$}{\rm $c_{tG}$}
+{$-0.080$}{\rm $c_{b \varphi}$}
+{$-0.060$}{\rm $c_{qq}^{8,3}$}
+{$+0.049$}{\rm $c_{\varphi WB}$}
+{$-0.038$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.024$}{\rm $c_{\varphi t}$}
+{$-0.018$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.018$}{\rm $c_{tW}$}
+{$-0.012$}{\rm $c_{t \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC11} (2.14e+01):}}
-{$-0.615$}{\rm $c_{\varphi W}$} 
-{$-0.427$}{\rm $c_{qq}^{1,8}$} 
-{$-0.366$}{\rm $c_{qt}^{8}$} 
-{$+0.252$}{\rm $c_{c \varphi}$} 
-{$-0.246$}{\rm $c_{ut}^{8}$} 
-{$+0.219$}{\rm $c_{\varphi B}$} 
-{$-0.213$}{\rm $c_{qu}^{8}$} 
-{$-0.197$}{\rm $c_{\varphi D}$} 
-{$-0.129$}{\rm $c_{dt}^{8}$} 
-{$-0.115$}{\rm $c_{qd}^{8}$} 
-{$-0.071$}{\rm $c_{b \varphi}$} 
-{$+0.064$}{\rm $c_{qq}^{8,3}$} 
-{$+0.063$}{\rm $c_{tG}$} 
-{$+0.056$}{\rm $c_{\varphi WB}$} 
-{$+0.038$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.026$}{\rm $c_{\varphi t}$} 
-{$-0.021$}{\rm $c_{t \varphi}$} 
-{$+0.016$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.014$}{\rm $c_{tW}$} 
-{$+0.013$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.615$}{\rm $c_{\varphi W}$}
+{$-0.427$}{\rm $c_{qq}^{1,8}$}
+{$-0.366$}{\rm $c_{qt}^{8}$}
+{$+0.252$}{\rm $c_{c \varphi}$}
+{$-0.246$}{\rm $c_{ut}^{8}$}
+{$+0.219$}{\rm $c_{\varphi B}$}
+{$-0.213$}{\rm $c_{qu}^{8}$}
+{$-0.197$}{\rm $c_{\varphi D}$}
+{$-0.129$}{\rm $c_{dt}^{8}$}
+{$-0.115$}{\rm $c_{qd}^{8}$}
+{$-0.071$}{\rm $c_{b \varphi}$}
+{$+0.064$}{\rm $c_{qq}^{8,3}$}
+{$+0.063$}{\rm $c_{tG}$}
+{$+0.056$}{\rm $c_{\varphi WB}$}
+{$+0.038$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.026$}{\rm $c_{\varphi t}$}
+{$-0.021$}{\rm $c_{t \varphi}$}
+{$+0.016$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.014$}{\rm $c_{tW}$}
+{$+0.013$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC12} (4.19e+00):}}
-{$+0.950$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.299$}{\rm $c_{qq}^{1,3}$} 
-{$+0.064$}{\rm $c_{\varphi D}$} 
-{$-0.028$}{\rm $c_{\varphi WB}$} 
-{$-0.024$}{\rm $c_{\varphi W}$} 
-{$+0.024$}{\rm $c_{qq}^{1,8}$} 
-{$-0.018$}{\rm $c_{qq}^{8,3}$} 
-{$-0.016$}{\rm $c_{\varphi \Box}$} 
-{$+0.014$}{\rm $c_{qt}^{8}$} 
-{$+0.014$}{\rm $c_{\varphi t}$} 
-{$-0.013$}{\rm $c_{tW}$} 
-{$-0.011$}{\rm $c_{\varphi Q}^{(-)}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.950$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.299$}{\rm $c_{qq}^{1,3}$}
+{$+0.064$}{\rm $c_{\varphi D}$}
+{$-0.028$}{\rm $c_{\varphi WB}$}
+{$-0.024$}{\rm $c_{\varphi W}$}
+{$+0.024$}{\rm $c_{qq}^{1,8}$}
+{$-0.018$}{\rm $c_{qq}^{8,3}$}
+{$-0.016$}{\rm $c_{\varphi \Box}$}
+{$+0.014$}{\rm $c_{qt}^{8}$}
+{$+0.014$}{\rm $c_{\varphi t}$}
+{$-0.013$}{\rm $c_{tW}$}
+{$-0.011$}{\rm $c_{\varphi Q}^{(-)}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC13} (2.76e+00):}}
-{$+0.836$}{\rm $c_{\varphi D}$} 
-{$-0.390$}{\rm $c_{\varphi WB}$} 
-{$-0.286$}{\rm $c_{\varphi W}$} 
-{$-0.151$}{\rm $c_{\varphi \Box}$} 
-{$-0.130$}{\rm $c_{\varphi B}$} 
-{$+0.112$}{\rm $c_{c \varphi}$} 
-{$-0.070$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.055$}{\rm $c_{WWW}$} 
-{$-0.047$}{\rm $c_{b \varphi}$} 
-{$+0.044$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.028$}{\rm $c_{t \varphi}$} 
-{$+0.027$}{\rm $c_{qq}^{8,3}$} 
-{$-0.022$}{\rm $c_{qq}^{1,3}$} 
-{$-0.016$}{\rm $c_{\varphi t}$} 
-{$-0.016$}{\rm $c_{tZ}$} 
-{$-0.016$}{\rm $c_{qq}^{1,8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.836$}{\rm $c_{\varphi D}$}
+{$-0.390$}{\rm $c_{\varphi WB}$}
+{$-0.286$}{\rm $c_{\varphi W}$}
+{$-0.151$}{\rm $c_{\varphi \Box}$}
+{$-0.130$}{\rm $c_{\varphi B}$}
+{$+0.112$}{\rm $c_{c \varphi}$}
+{$-0.070$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.055$}{\rm $c_{WWW}$}
+{$-0.047$}{\rm $c_{b \varphi}$}
+{$+0.044$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.028$}{\rm $c_{t \varphi}$}
+{$+0.027$}{\rm $c_{qq}^{8,3}$}
+{$-0.022$}{\rm $c_{qq}^{1,3}$}
+{$-0.016$}{\rm $c_{\varphi t}$}
+{$-0.016$}{\rm $c_{tZ}$}
+{$-0.016$}{\rm $c_{qq}^{1,8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC14} (1.83e+00):}}
-{$+0.741$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.483$}{\rm $c_{\varphi t}$} 
-{$+0.287$}{\rm $c_{ut}^{8}$} 
-{$+0.221$}{\rm $c_{qu}^{8}$} 
-{$-0.178$}{\rm $c_{qq}^{1,8}$} 
-{$+0.156$}{\rm $c_{qq}^{8,3}$} 
-{$+0.127$}{\rm $c_{dt}^{8}$} 
-{$+0.068$}{\rm $c_{qd}^{8}$} 
-{$-0.051$}{\rm $c_{t \varphi}$} 
-{$+0.047$}{\rm $c_{\varphi \Box}$} 
-{$-0.047$}{\rm $c_{qt}^{8}$} 
-{$-0.034$}{\rm $c_{\varphi D}$} 
-{$+0.026$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.017$}{\rm $c_{\varphi WB}$} 
-{$+0.016$}{\rm $c_{tZ}$} 
-{$-0.016$}{\rm $c_{WWW}$} 
-{$-0.016$}{\rm $c_{c \varphi}$} 
-{$+0.015$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{qq}^{1,3}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.741$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.483$}{\rm $c_{\varphi t}$}
+{$+0.287$}{\rm $c_{ut}^{8}$}
+{$+0.221$}{\rm $c_{qu}^{8}$}
+{$-0.178$}{\rm $c_{qq}^{1,8}$}
+{$+0.156$}{\rm $c_{qq}^{8,3}$}
+{$+0.127$}{\rm $c_{dt}^{8}$}
+{$+0.068$}{\rm $c_{qd}^{8}$}
+{$-0.051$}{\rm $c_{t \varphi}$}
+{$+0.047$}{\rm $c_{\varphi \Box}$}
+{$-0.047$}{\rm $c_{qt}^{8}$}
+{$-0.034$}{\rm $c_{\varphi D}$}
+{$+0.026$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.017$}{\rm $c_{\varphi WB}$}
+{$+0.016$}{\rm $c_{tZ}$}
+{$-0.016$}{\rm $c_{WWW}$}
+{$-0.016$}{\rm $c_{c \varphi}$}
+{$+0.015$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{qq}^{1,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC15} (6.57e-01):}}
-{$-0.835$}{\rm $c_{\varphi \Box}$} 
-{$+0.402$}{\rm $c_{t \varphi}$} 
-{$+0.258$}{\rm $c_{qq}^{8,3}$} 
-{$+0.131$}{\rm $c_{qu}^{8}$} 
-{$-0.108$}{\rm $c_{\varphi D}$} 
-{$-0.105$}{\rm $c_{qq}^{1,8}$} 
-{$+0.088$}{\rm $c_{qd}^{8}$} 
-{$+0.072$}{\rm $c_{ut}^{8}$} 
-{$-0.064$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.057$}{\rm $c_{dt}^{8}$} 
-{$+0.051$}{\rm $c_{c \varphi}$} 
-{$+0.050$}{\rm $c_{\varphi W}$} 
-{$-0.048$}{\rm $c_{WWW}$} 
-{$+0.048$}{\rm $c_{\varphi WB}$} 
-{$+0.044$}{\rm $c_{\varphi t}$} 
-{$-0.041$}{\rm $c_{qt}^{8}$} 
-{$+0.016$}{\rm $c_{tG}$} 
-{$+0.014$}{\rm $c_{\varphi B}$} 
-{$+0.011$}{\rm $c_{tt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.835$}{\rm $c_{\varphi \Box}$}
+{$+0.402$}{\rm $c_{t \varphi}$}
+{$+0.258$}{\rm $c_{qq}^{8,3}$}
+{$+0.131$}{\rm $c_{qu}^{8}$}
+{$-0.108$}{\rm $c_{\varphi D}$}
+{$-0.105$}{\rm $c_{qq}^{1,8}$}
+{$+0.088$}{\rm $c_{qd}^{8}$}
+{$+0.072$}{\rm $c_{ut}^{8}$}
+{$-0.064$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.057$}{\rm $c_{dt}^{8}$}
+{$+0.051$}{\rm $c_{c \varphi}$}
+{$+0.050$}{\rm $c_{\varphi W}$}
+{$-0.048$}{\rm $c_{WWW}$}
+{$+0.048$}{\rm $c_{\varphi WB}$}
+{$+0.044$}{\rm $c_{\varphi t}$}
+{$-0.041$}{\rm $c_{qt}^{8}$}
+{$+0.016$}{\rm $c_{tG}$}
+{$+0.014$}{\rm $c_{\varphi B}$}
+{$+0.011$}{\rm $c_{tt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC16} (6.30e-01):}}
-{$-0.679$}{\rm $c_{qq}^{8,3}$} 
-{$-0.356$}{\rm $c_{qu}^{8}$} 
-{$+0.318$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.267$}{\rm $c_{\varphi \Box}$} 
-{$+0.236$}{\rm $c_{qq}^{1,8}$} 
-{$+0.223$}{\rm $c_{t \varphi}$} 
-{$-0.202$}{\rm $c_{\varphi t}$} 
-{$-0.195$}{\rm $c_{qd}^{8}$} 
-{$-0.181$}{\rm $c_{ut}^{8}$} 
-{$-0.106$}{\rm $c_{dt}^{8}$} 
-{$+0.084$}{\rm $c_{qt}^{8}$} 
-{$+0.049$}{\rm $c_{WWW}$} 
-{$-0.028$}{\rm $c_{\varphi D}$} 
-{$+0.022$}{\rm $c_{c \varphi}$} 
-{$+0.019$}{\rm $c_{tG}$} 
-{$-0.016$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.012$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.679$}{\rm $c_{qq}^{8,3}$}
+{$-0.356$}{\rm $c_{qu}^{8}$}
+{$+0.318$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.267$}{\rm $c_{\varphi \Box}$}
+{$+0.236$}{\rm $c_{qq}^{1,8}$}
+{$+0.223$}{\rm $c_{t \varphi}$}
+{$-0.202$}{\rm $c_{\varphi t}$}
+{$-0.195$}{\rm $c_{qd}^{8}$}
+{$-0.181$}{\rm $c_{ut}^{8}$}
+{$-0.106$}{\rm $c_{dt}^{8}$}
+{$+0.084$}{\rm $c_{qt}^{8}$}
+{$+0.049$}{\rm $c_{WWW}$}
+{$-0.028$}{\rm $c_{\varphi D}$}
+{$+0.022$}{\rm $c_{c \varphi}$}
+{$+0.019$}{\rm $c_{tG}$}
+{$-0.016$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.012$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC17} (3.77e-01):}}
-{$-0.729$}{\rm $c_{WWW}$} 
-{$+0.377$}{\rm $c_{qq}^{8,3}$} 
-{$-0.297$}{\rm $c_{ut}^{8}$} 
-{$+0.293$}{\rm $c_{qt}^{8}$} 
-{$-0.231$}{\rm $c_{qu}^{8}$} 
-{$+0.181$}{\rm $c_{qq}^{1,8}$} 
-{$-0.153$}{\rm $c_{dt}^{8}$} 
-{$+0.139$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.120$}{\rm $c_{qd}^{8}$} 
-{$-0.073$}{\rm $c_{\varphi t}$} 
-{$-0.045$}{\rm $c_{t \varphi}$} 
-{$+0.025$}{\rm $c_{\varphi D}$} 
-{$-0.012$}{\rm $c_{\varphi WB}$} 
-{$+0.012$}{\rm $c_{tt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.729$}{\rm $c_{WWW}$}
+{$+0.377$}{\rm $c_{qq}^{8,3}$}
+{$-0.297$}{\rm $c_{ut}^{8}$}
+{$+0.293$}{\rm $c_{qt}^{8}$}
+{$-0.231$}{\rm $c_{qu}^{8}$}
+{$+0.181$}{\rm $c_{qq}^{1,8}$}
+{$-0.153$}{\rm $c_{dt}^{8}$}
+{$+0.139$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.120$}{\rm $c_{qd}^{8}$}
+{$-0.073$}{\rm $c_{\varphi t}$}
+{$-0.045$}{\rm $c_{t \varphi}$}
+{$+0.025$}{\rm $c_{\varphi D}$}
+{$-0.012$}{\rm $c_{\varphi WB}$}
+{$+0.012$}{\rm $c_{tt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC18} (3.68e-01):}}
-{$+0.678$}{\rm $c_{WWW}$} 
-{$+0.472$}{\rm $c_{qq}^{8,3}$} 
-{$+0.308$}{\rm $c_{qt}^{8}$} 
-{$-0.291$}{\rm $c_{ut}^{8}$} 
-{$-0.208$}{\rm $c_{qu}^{8}$} 
-{$+0.168$}{\rm $c_{qq}^{1,8}$} 
-{$-0.152$}{\rm $c_{dt}^{8}$} 
-{$+0.124$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.112$}{\rm $c_{qd}^{8}$} 
-{$-0.087$}{\rm $c_{\varphi t}$} 
-{$-0.061$}{\rm $c_{t \varphi}$} 
-{$-0.047$}{\rm $c_{\varphi D}$} 
-{$-0.044$}{\rm $c_{\varphi \Box}$} 
-{$+0.023$}{\rm $c_{\varphi WB}$} 
-{$+0.023$}{\rm $c_{\varphi W}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.678$}{\rm $c_{WWW}$}
+{$+0.472$}{\rm $c_{qq}^{8,3}$}
+{$+0.308$}{\rm $c_{qt}^{8}$}
+{$-0.291$}{\rm $c_{ut}^{8}$}
+{$-0.208$}{\rm $c_{qu}^{8}$}
+{$+0.168$}{\rm $c_{qq}^{1,8}$}
+{$-0.152$}{\rm $c_{dt}^{8}$}
+{$+0.124$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.112$}{\rm $c_{qd}^{8}$}
+{$-0.087$}{\rm $c_{\varphi t}$}
+{$-0.061$}{\rm $c_{t \varphi}$}
+{$-0.047$}{\rm $c_{\varphi D}$}
+{$-0.044$}{\rm $c_{\varphi \Box}$}
+{$+0.023$}{\rm $c_{\varphi WB}$}
+{$+0.023$}{\rm $c_{\varphi W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC19} (1.94e-01):}}
-{$-0.882$}{\rm $c_{t \varphi}$} 
-{$-0.444$}{\rm $c_{\varphi \Box}$} 
-{$-0.116$}{\rm $c_{qq}^{8,3}$} 
-{$-0.073$}{\rm $c_{\varphi D}$} 
-{$+0.049$}{\rm $c_{\varphi W}$} 
-{$-0.037$}{\rm $c_{tZ}$} 
-{$+0.033$}{\rm $c_{\varphi WB}$} 
-{$-0.026$}{\rm $c_{qt}^{8}$} 
-{$-0.020$}{\rm $c_{WWW}$} 
-{$-0.015$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.014$}{\rm $c_{ut}^{8}$} 
-{$-0.012$}{\rm $c_{qu}^{8}$} 
-{$-0.011$}{\rm $c_{qd}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.882$}{\rm $c_{t \varphi}$}
+{$-0.444$}{\rm $c_{\varphi \Box}$}
+{$-0.116$}{\rm $c_{qq}^{8,3}$}
+{$-0.073$}{\rm $c_{\varphi D}$}
+{$+0.049$}{\rm $c_{\varphi W}$}
+{$-0.037$}{\rm $c_{tZ}$}
+{$+0.033$}{\rm $c_{\varphi WB}$}
+{$-0.026$}{\rm $c_{qt}^{8}$}
+{$-0.020$}{\rm $c_{WWW}$}
+{$-0.015$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.014$}{\rm $c_{ut}^{8}$}
+{$-0.012$}{\rm $c_{qu}^{8}$}
+{$-0.011$}{\rm $c_{qd}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC20} (6.12e-02):}}
-{$-0.737$}{\rm $c_{tt}^{1}$} 
-{$-0.423$}{\rm $c_{Qt}^{8}$} 
-{$-0.362$}{\rm $c_{QQ}^{1}$} 
-{$+0.216$}{\rm $c_{qq}^{1,1}$} 
-{$+0.177$}{\rm $c_{qt}^{1}$} 
-{$+0.143$}{\rm $c_{ut}^{1}$} 
-{$-0.129$}{\rm $c_{QQ}^{8}$} 
-{$+0.112$}{\rm $c_{qu}^{1}$} 
-{$+0.072$}{\rm $c_{dt}^{1}$} 
-{$+0.063$}{\rm $c_{qd}^{1}$} 
-{$+0.059$}{\rm $c_{qd}^{8}$} 
-{$+0.048$}{\rm $c_{dt}^{8}$} 
-{$+0.036$}{\rm $c_{\varphi t}$} 
-{$-0.036$}{\rm $c_{ut}^{8}$} 
-{$+0.034$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.025$}{\rm $c_{qu}^{8}$} 
-{$+0.018$}{\rm $c_{tZ}$} 
-{$-0.013$}{\rm $c_{\varphi \Box}$} 
-{$+0.012$}{\rm $c_{qq}^{8,3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.737$}{\rm $c_{tt}^{1}$}
+{$-0.423$}{\rm $c_{Qt}^{8}$}
+{$-0.362$}{\rm $c_{QQ}^{1}$}
+{$+0.216$}{\rm $c_{qq}^{1,1}$}
+{$+0.177$}{\rm $c_{qt}^{1}$}
+{$+0.143$}{\rm $c_{ut}^{1}$}
+{$-0.129$}{\rm $c_{QQ}^{8}$}
+{$+0.112$}{\rm $c_{qu}^{1}$}
+{$+0.072$}{\rm $c_{dt}^{1}$}
+{$+0.063$}{\rm $c_{qd}^{1}$}
+{$+0.059$}{\rm $c_{qd}^{8}$}
+{$+0.048$}{\rm $c_{dt}^{8}$}
+{$+0.036$}{\rm $c_{\varphi t}$}
+{$-0.036$}{\rm $c_{ut}^{8}$}
+{$+0.034$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.025$}{\rm $c_{qu}^{8}$}
+{$+0.018$}{\rm $c_{tZ}$}
+{$-0.013$}{\rm $c_{\varphi \Box}$}
+{$+0.012$}{\rm $c_{qq}^{8,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC21} (2.60e-02):}}
-{$-0.571$}{\rm $c_{qd}^{8}$} 
-{$-0.536$}{\rm $c_{dt}^{8}$} 
-{$+0.380$}{\rm $c_{qu}^{8}$} 
-{$+0.362$}{\rm $c_{\varphi t}$} 
-{$+0.198$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.197$}{\rm $c_{ut}^{8}$} 
-{$+0.150$}{\rm $c_{tZ}$} 
-{$+0.062$}{\rm $c_{qq}^{1,8}$} 
-{$-0.058$}{\rm $c_{qt}^{8}$} 
-{$-0.044$}{\rm $c_{tt}^{1}$} 
-{$-0.022$}{\rm $c_{QQ}^{1}$} 
-{$+0.018$}{\rm $c_{qt}^{1}$} 
-{$-0.018$}{\rm $c_{\varphi \Box}$} 
-{$-0.015$}{\rm $c_{Qt}^{8}$} 
-{$+0.012$}{\rm $c_{qu}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.571$}{\rm $c_{qd}^{8}$}
+{$-0.536$}{\rm $c_{dt}^{8}$}
+{$+0.380$}{\rm $c_{qu}^{8}$}
+{$+0.362$}{\rm $c_{\varphi t}$}
+{$+0.198$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.197$}{\rm $c_{ut}^{8}$}
+{$+0.150$}{\rm $c_{tZ}$}
+{$+0.062$}{\rm $c_{qq}^{1,8}$}
+{$-0.058$}{\rm $c_{qt}^{8}$}
+{$-0.044$}{\rm $c_{tt}^{1}$}
+{$-0.022$}{\rm $c_{QQ}^{1}$}
+{$+0.018$}{\rm $c_{qt}^{1}$}
+{$-0.018$}{\rm $c_{\varphi \Box}$}
+{$-0.015$}{\rm $c_{Qt}^{8}$}
+{$+0.012$}{\rm $c_{qu}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC22} (2.35e-02):}}
-{$-0.674$}{\rm $c_{\varphi t}$} 
-{$-0.479$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.354$}{\rm $c_{qd}^{8}$} 
-{$-0.271$}{\rm $c_{tZ}$} 
-{$+0.216$}{\rm $c_{ut}^{8}$} 
-{$-0.211$}{\rm $c_{dt}^{8}$} 
-{$+0.082$}{\rm $c_{qt}^{8}$} 
-{$-0.072$}{\rm $c_{tt}^{1}$} 
-{$-0.070$}{\rm $c_{qq}^{1,8}$} 
-{$+0.066$}{\rm $c_{qu}^{8}$} 
-{$-0.035$}{\rm $c_{QQ}^{1}$} 
-{$+0.030$}{\rm $c_{qt}^{1}$} 
-{$-0.024$}{\rm $c_{Qt}^{8}$} 
-{$+0.024$}{\rm $c_{t \varphi}$} 
-{$+0.019$}{\rm $c_{qu}^{1}$} 
-{$-0.015$}{\rm $c_{\varphi B}$} 
-{$-0.014$}{\rm $c_{WWW}$} 
-{$+0.011$}{\rm $c_{qd}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.674$}{\rm $c_{\varphi t}$}
+{$-0.479$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.354$}{\rm $c_{qd}^{8}$}
+{$-0.271$}{\rm $c_{tZ}$}
+{$+0.216$}{\rm $c_{ut}^{8}$}
+{$-0.211$}{\rm $c_{dt}^{8}$}
+{$+0.082$}{\rm $c_{qt}^{8}$}
+{$-0.072$}{\rm $c_{tt}^{1}$}
+{$-0.070$}{\rm $c_{qq}^{1,8}$}
+{$+0.066$}{\rm $c_{qu}^{8}$}
+{$-0.035$}{\rm $c_{QQ}^{1}$}
+{$+0.030$}{\rm $c_{qt}^{1}$}
+{$-0.024$}{\rm $c_{Qt}^{8}$}
+{$+0.024$}{\rm $c_{t \varphi}$}
+{$+0.019$}{\rm $c_{qu}^{1}$}
+{$-0.015$}{\rm $c_{\varphi B}$}
+{$-0.014$}{\rm $c_{WWW}$}
+{$+0.011$}{\rm $c_{qd}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC23} (7.57e-03):}}
-{$+0.566$}{\rm $c_{ut}^{8}$} 
-{$-0.533$}{\rm $c_{qu}^{8}$} 
-{$+0.413$}{\rm $c_{qt}^{8}$} 
-{$-0.404$}{\rm $c_{qq}^{1,8}$} 
-{$+0.232$}{\rm $c_{\varphi t}$} 
-{$-0.083$}{\rm $c_{qd}^{8}$} 
-{$+0.036$}{\rm $c_{tZ}$} 
-{$+0.025$}{\rm $c_{\varphi Q}^{(-)}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.566$}{\rm $c_{ut}^{8}$}
+{$-0.533$}{\rm $c_{qu}^{8}$}
+{$+0.413$}{\rm $c_{qt}^{8}$}
+{$-0.404$}{\rm $c_{qq}^{1,8}$}
+{$+0.232$}{\rm $c_{\varphi t}$}
+{$-0.083$}{\rm $c_{qd}^{8}$}
+{$+0.036$}{\rm $c_{tZ}$}
+{$+0.025$}{\rm $c_{\varphi Q}^{(-)}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC24} (3.54e-03):}}
-{$-0.482$}{\rm $c_{QQ}^{8}$} 
-{$-0.462$}{\rm $c_{qt}^{1}$} 
-{$-0.401$}{\rm $c_{Qt}^{8}$} 
-{$+0.344$}{\rm $c_{qq}^{1,1}$} 
-{$-0.296$}{\rm $c_{qu}^{1}$} 
-{$+0.239$}{\rm $c_{tt}^{1}$} 
-{$+0.213$}{\rm $c_{ut}^{1}$} 
-{$-0.173$}{\rm $c_{qd}^{1}$} 
-{$+0.129$}{\rm $c_{dt}^{1}$} 
-{$+0.111$}{\rm $c_{QQ}^{1}$} 
-{$-0.104$}{\rm $c_{qd}^{8}$} 
-{$+0.080$}{\rm $c_{dt}^{8}$} 
-{$-0.075$}{\rm $c_{Qt}^{1}$} 
-{$+0.038$}{\rm $c_{tZ}$} 
-{$+0.025$}{\rm $c_{qu}^{8}$} 
-{$-0.019$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.017$}{\rm $c_{\varphi t}$} 
-{$-0.013$}{\rm $c_{ut}^{8}$} 
-{$+0.013$}{\rm $c_{qt}^{8}$} 
-{$-0.013$}{\rm $c_{qq}^{1,8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.482$}{\rm $c_{QQ}^{8}$}
+{$-0.462$}{\rm $c_{qt}^{1}$}
+{$-0.401$}{\rm $c_{Qt}^{8}$}
+{$+0.344$}{\rm $c_{qq}^{1,1}$}
+{$-0.296$}{\rm $c_{qu}^{1}$}
+{$+0.239$}{\rm $c_{tt}^{1}$}
+{$+0.213$}{\rm $c_{ut}^{1}$}
+{$-0.173$}{\rm $c_{qd}^{1}$}
+{$+0.129$}{\rm $c_{dt}^{1}$}
+{$+0.111$}{\rm $c_{QQ}^{1}$}
+{$-0.104$}{\rm $c_{qd}^{8}$}
+{$+0.080$}{\rm $c_{dt}^{8}$}
+{$-0.075$}{\rm $c_{Qt}^{1}$}
+{$+0.038$}{\rm $c_{tZ}$}
+{$+0.025$}{\rm $c_{qu}^{8}$}
+{$-0.019$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.017$}{\rm $c_{\varphi t}$}
+{$-0.013$}{\rm $c_{ut}^{8}$}
+{$+0.013$}{\rm $c_{qt}^{8}$}
+{$-0.013$}{\rm $c_{qq}^{1,8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC25} (2.61e-03):}}
-{$-0.707$}{\rm $c_{dt}^{8}$} 
-{$+0.615$}{\rm $c_{qd}^{8}$} 
-{$+0.177$}{\rm $c_{tZ}$} 
-{$+0.168$}{\rm $c_{ut}^{8}$} 
-{$-0.130$}{\rm $c_{\varphi t}$} 
-{$-0.110$}{\rm $c_{qu}^{8}$} 
-{$-0.095$}{\rm $c_{qt}^{8}$} 
-{$+0.090$}{\rm $c_{qq}^{1,8}$} 
-{$-0.059$}{\rm $c_{QQ}^{8}$} 
-{$-0.055$}{\rm $c_{qt}^{1}$} 
-{$-0.050$}{\rm $c_{Qt}^{8}$} 
-{$+0.042$}{\rm $c_{qq}^{1,1}$} 
-{$-0.037$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.035$}{\rm $c_{qu}^{1}$} 
-{$+0.026$}{\rm $c_{tt}^{1}$} 
-{$+0.026$}{\rm $c_{ut}^{1}$} 
-{$-0.021$}{\rm $c_{qd}^{1}$} 
-{$+0.016$}{\rm $c_{dt}^{1}$} 
-{$+0.012$}{\rm $c_{QQ}^{1}$} 
-{$-0.011$}{\rm $c_{qq}^{8,3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.707$}{\rm $c_{dt}^{8}$}
+{$+0.615$}{\rm $c_{qd}^{8}$}
+{$+0.177$}{\rm $c_{tZ}$}
+{$+0.168$}{\rm $c_{ut}^{8}$}
+{$-0.130$}{\rm $c_{\varphi t}$}
+{$-0.110$}{\rm $c_{qu}^{8}$}
+{$-0.095$}{\rm $c_{qt}^{8}$}
+{$+0.090$}{\rm $c_{qq}^{1,8}$}
+{$-0.059$}{\rm $c_{QQ}^{8}$}
+{$-0.055$}{\rm $c_{qt}^{1}$}
+{$-0.050$}{\rm $c_{Qt}^{8}$}
+{$+0.042$}{\rm $c_{qq}^{1,1}$}
+{$-0.037$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.035$}{\rm $c_{qu}^{1}$}
+{$+0.026$}{\rm $c_{tt}^{1}$}
+{$+0.026$}{\rm $c_{ut}^{1}$}
+{$-0.021$}{\rm $c_{qd}^{1}$}
+{$+0.016$}{\rm $c_{dt}^{1}$}
+{$+0.012$}{\rm $c_{QQ}^{1}$}
+{$-0.011$}{\rm $c_{qq}^{8,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC26} (2.10e-03):}}
-{$-0.930$}{\rm $c_{tZ}$} 
-{$+0.229$}{\rm $c_{\varphi t}$} 
-{$+0.182$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.155$}{\rm $c_{dt}^{8}$} 
-{$+0.121$}{\rm $c_{qd}^{8}$} 
-{$-0.041$}{\rm $c_{\varphi B}$} 
-{$-0.034$}{\rm $c_{QQ}^{8}$} 
-{$-0.033$}{\rm $c_{qt}^{8}$} 
-{$-0.032$}{\rm $c_{qt}^{1}$} 
-{$+0.030$}{\rm $c_{qq}^{1,8}$} 
-{$+0.030$}{\rm $c_{t \varphi}$} 
-{$-0.029$}{\rm $c_{Qt}^{8}$} 
-{$+0.025$}{\rm $c_{qq}^{1,1}$} 
-{$-0.024$}{\rm $c_{\varphi D}$} 
-{$+0.022$}{\rm $c_{ut}^{8}$} 
-{$-0.020$}{\rm $c_{qu}^{1}$} 
-{$+0.016$}{\rm $c_{\varphi \Box}$} 
-{$+0.015$}{\rm $c_{ut}^{1}$} 
-{$+0.014$}{\rm $c_{tt}^{1}$} 
-{$-0.012$}{\rm $c_{qd}^{1}$} 
-{$-0.011$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.930$}{\rm $c_{tZ}$}
+{$+0.229$}{\rm $c_{\varphi t}$}
+{$+0.182$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.155$}{\rm $c_{dt}^{8}$}
+{$+0.121$}{\rm $c_{qd}^{8}$}
+{$-0.041$}{\rm $c_{\varphi B}$}
+{$-0.034$}{\rm $c_{QQ}^{8}$}
+{$-0.033$}{\rm $c_{qt}^{8}$}
+{$-0.032$}{\rm $c_{qt}^{1}$}
+{$+0.030$}{\rm $c_{qq}^{1,8}$}
+{$+0.030$}{\rm $c_{t \varphi}$}
+{$-0.029$}{\rm $c_{Qt}^{8}$}
+{$+0.025$}{\rm $c_{qq}^{1,1}$}
+{$-0.024$}{\rm $c_{\varphi D}$}
+{$+0.022$}{\rm $c_{ut}^{8}$}
+{$-0.020$}{\rm $c_{qu}^{1}$}
+{$+0.016$}{\rm $c_{\varphi \Box}$}
+{$+0.015$}{\rm $c_{ut}^{1}$}
+{$+0.014$}{\rm $c_{tt}^{1}$}
+{$-0.012$}{\rm $c_{qd}^{1}$}
+{$-0.011$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC27} (1.06e-10):}}
-{$+0.912$}{\rm $c_{qq}^{1,1}$} 
-{$+0.255$}{\rm $c_{Qt}^{8}$} 
-{$+0.215$}{\rm $c_{QQ}^{8}$} 
-{$+0.135$}{\rm $c_{qt}^{1}$} 
-{$-0.116$}{\rm $c_{ut}^{1}$} 
-{$+0.087$}{\rm $c_{qu}^{1}$} 
-{$+0.084$}{\rm $c_{tt}^{1}$} 
-{$-0.067$}{\rm $c_{dt}^{1}$} 
-{$+0.051$}{\rm $c_{qd}^{1}$} 
-{$+0.044$}{\rm $c_{QQ}^{1}$} 
-{$+0.028$}{\rm $c_{Qt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.912$}{\rm $c_{qq}^{1,1}$}
+{$+0.255$}{\rm $c_{Qt}^{8}$}
+{$+0.215$}{\rm $c_{QQ}^{8}$}
+{$+0.135$}{\rm $c_{qt}^{1}$}
+{$-0.116$}{\rm $c_{ut}^{1}$}
+{$+0.087$}{\rm $c_{qu}^{1}$}
+{$+0.084$}{\rm $c_{tt}^{1}$}
+{$-0.067$}{\rm $c_{dt}^{1}$}
+{$+0.051$}{\rm $c_{qd}^{1}$}
+{$+0.044$}{\rm $c_{QQ}^{1}$}
+{$+0.028$}{\rm $c_{Qt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC28} (5.27e-11):}}
-{$+0.986$}{\rm $c_{dt}^{1}$} 
-{$+0.107$}{\rm $c_{Qt}^{8}$} 
-{$+0.097$}{\rm $c_{QQ}^{8}$} 
-{$-0.049$}{\rm $c_{ut}^{1}$} 
-{$+0.040$}{\rm $c_{qu}^{1}$} 
-{$+0.033$}{\rm $c_{qt}^{1}$} 
-{$+0.031$}{\rm $c_{qd}^{1}$} 
-{$+0.020$}{\rm $c_{tt}^{1}$} 
-{$+0.013$}{\rm $c_{Qt}^{1}$} 
-{$+0.011$}{\rm $c_{QQ}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.986$}{\rm $c_{dt}^{1}$}
+{$+0.107$}{\rm $c_{Qt}^{8}$}
+{$+0.097$}{\rm $c_{QQ}^{8}$}
+{$-0.049$}{\rm $c_{ut}^{1}$}
+{$+0.040$}{\rm $c_{qu}^{1}$}
+{$+0.033$}{\rm $c_{qt}^{1}$}
+{$+0.031$}{\rm $c_{qd}^{1}$}
+{$+0.020$}{\rm $c_{tt}^{1}$}
+{$+0.013$}{\rm $c_{Qt}^{1}$}
+{$+0.011$}{\rm $c_{QQ}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC29} (5.27e-11):}}
-{$-0.843$}{\rm $c_{qt}^{1}$} 
-{$-0.297$}{\rm $c_{tt}^{1}$} 
-{$+0.297$}{\rm $c_{QQ}^{8}$} 
-{$+0.189$}{\rm $c_{Qt}^{8}$} 
-{$+0.184$}{\rm $c_{qu}^{1}$} 
-{$-0.143$}{\rm $c_{QQ}^{1}$} 
-{$-0.136$}{\rm $c_{ut}^{1}$} 
-{$+0.052$}{\rm $c_{Qt}^{1}$} 
-{$-0.040$}{\rm $c_{qd}^{1}$} 
-{$-0.028$}{\rm $c_{dt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.843$}{\rm $c_{qt}^{1}$}
+{$-0.297$}{\rm $c_{tt}^{1}$}
+{$+0.297$}{\rm $c_{QQ}^{8}$}
+{$+0.189$}{\rm $c_{Qt}^{8}$}
+{$+0.184$}{\rm $c_{qu}^{1}$}
+{$-0.143$}{\rm $c_{QQ}^{1}$}
+{$-0.136$}{\rm $c_{ut}^{1}$}
+{$+0.052$}{\rm $c_{Qt}^{1}$}
+{$-0.040$}{\rm $c_{qd}^{1}$}
+{$-0.028$}{\rm $c_{dt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC30} (5.27e-11):}}
-{$-0.969$}{\rm $c_{qd}^{1}$} 
-{$+0.193$}{\rm $c_{qu}^{1}$} 
-{$+0.132$}{\rm $c_{qt}^{1}$} 
-{$+0.050$}{\rm $c_{QQ}^{8}$} 
-{$-0.040$}{\rm $c_{tt}^{1}$} 
-{$+0.037$}{\rm $c_{Qt}^{8}$} 
-{$-0.022$}{\rm $c_{QQ}^{1}$} 
-{$+0.010$}{\rm $c_{dt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.969$}{\rm $c_{qd}^{1}$}
+{$+0.193$}{\rm $c_{qu}^{1}$}
+{$+0.132$}{\rm $c_{qt}^{1}$}
+{$+0.050$}{\rm $c_{QQ}^{8}$}
+{$-0.040$}{\rm $c_{tt}^{1}$}
+{$+0.037$}{\rm $c_{Qt}^{8}$}
+{$-0.022$}{\rm $c_{QQ}^{1}$}
+{$+0.010$}{\rm $c_{dt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC31} (5.27e-11):}}
-{$+0.892$}{\rm $c_{qu}^{1}$} 
-{$-0.282$}{\rm $c_{QQ}^{8}$} 
-{$+0.235$}{\rm $c_{tt}^{1}$} 
-{$-0.187$}{\rm $c_{Qt}^{8}$} 
-{$+0.137$}{\rm $c_{qd}^{1}$} 
-{$+0.094$}{\rm $c_{QQ}^{1}$} 
-{$-0.063$}{\rm $c_{ut}^{1}$} 
-{$-0.044$}{\rm $c_{qt}^{1}$} 
-{$-0.040$}{\rm $c_{Qt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.892$}{\rm $c_{qu}^{1}$}
+{$-0.282$}{\rm $c_{QQ}^{8}$}
+{$+0.235$}{\rm $c_{tt}^{1}$}
+{$-0.187$}{\rm $c_{Qt}^{8}$}
+{$+0.137$}{\rm $c_{qd}^{1}$}
+{$+0.094$}{\rm $c_{QQ}^{1}$}
+{$-0.063$}{\rm $c_{ut}^{1}$}
+{$-0.044$}{\rm $c_{qt}^{1}$}
+{$-0.040$}{\rm $c_{Qt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC32} (5.27e-11):}}
-{$+0.923$}{\rm $c_{ut}^{1}$} 
-{$+0.273$}{\rm $c_{Qt}^{8}$} 
-{$-0.159$}{\rm $c_{QQ}^{1}$} 
-{$+0.141$}{\rm $c_{qu}^{1}$} 
-{$+0.107$}{\rm $c_{QQ}^{8}$} 
-{$+0.100$}{\rm $c_{tt}^{1}$} 
-{$+0.059$}{\rm $c_{Qt}^{1}$} 
-{$+0.043$}{\rm $c_{qd}^{1}$} 
-{$-0.026$}{\rm $c_{qt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.923$}{\rm $c_{ut}^{1}$}
+{$+0.273$}{\rm $c_{Qt}^{8}$}
+{$-0.159$}{\rm $c_{QQ}^{1}$}
+{$+0.141$}{\rm $c_{qu}^{1}$}
+{$+0.107$}{\rm $c_{QQ}^{8}$}
+{$+0.100$}{\rm $c_{tt}^{1}$}
+{$+0.059$}{\rm $c_{Qt}^{1}$}
+{$+0.043$}{\rm $c_{qd}^{1}$}
+{$-0.026$}{\rm $c_{qt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC33} (5.27e-11):}}
-{$+0.799$}{\rm $c_{QQ}^{1}$} 
-{$+0.383$}{\rm $c_{QQ}^{8}$} 
-{$-0.281$}{\rm $c_{Qt}^{8}$} 
-{$-0.253$}{\rm $c_{tt}^{1}$} 
-{$+0.206$}{\rm $c_{ut}^{1}$} 
-{$-0.166$}{\rm $c_{Qt}^{1}$} 
-{$+0.050$}{\rm $c_{qu}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.799$}{\rm $c_{QQ}^{1}$}
+{$+0.383$}{\rm $c_{QQ}^{8}$}
+{$-0.281$}{\rm $c_{Qt}^{8}$}
+{$-0.253$}{\rm $c_{tt}^{1}$}
+{$+0.206$}{\rm $c_{ut}^{1}$}
+{$-0.166$}{\rm $c_{Qt}^{1}$}
+{$+0.050$}{\rm $c_{qu}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC34} (5.27e-11):}}
-{$-0.847$}{\rm $c_{Qt}^{1}$} 
-{$-0.326$}{\rm $c_{QQ}^{1}$} 
-{$+0.313$}{\rm $c_{QQ}^{8}$} 
-{$+0.206$}{\rm $c_{tt}^{1}$} 
-{$-0.188$}{\rm $c_{Qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.847$}{\rm $c_{Qt}^{1}$}
+{$-0.326$}{\rm $c_{QQ}^{1}$}
+{$+0.313$}{\rm $c_{QQ}^{8}$}
+{$+0.206$}{\rm $c_{tt}^{1}$}
+{$-0.188$}{\rm $c_{Qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC35} (5.27e-11):}}
-{$-0.564$}{\rm $c_{Qt}^{8}$} 
-{$+0.515$}{\rm $c_{QQ}^{8}$} 
-{$+0.490$}{\rm $c_{Qt}^{1}$} 
-{$+0.351$}{\rm $c_{tt}^{1}$} 
-{$-0.232$}{\rm $c_{QQ}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.564$}{\rm $c_{Qt}^{8}$}
+{$+0.515$}{\rm $c_{QQ}^{8}$}
+{$+0.490$}{\rm $c_{Qt}^{1}$}
+{$+0.351$}{\rm $c_{tt}^{1}$}
+{$-0.232$}{\rm $c_{QQ}^{1}$}
+ \nonumber \\ \nonumber \\
 \end{document}
diff --git a/docs/source/_static/LO_NLO_linear/meta/pca_table_NS_GLOBAL_NLO_NHO.tex b/docs/source/_static/LO_NLO_linear/meta/pca_table_NS_GLOBAL_NLO_NHO.tex
index 2ec710d1..353c88e6 100644
--- a/docs/source/_static/LO_NLO_linear/meta/pca_table_NS_GLOBAL_NLO_NHO.tex
+++ b/docs/source/_static/LO_NLO_linear/meta/pca_table_NS_GLOBAL_NLO_NHO.tex
@@ -20,668 +20,668 @@
 \begin{document}
 \noindent \underline{\bf{Principal Components Analysis}:} \rm NS \ NLO\ linear\\ \\ \\
 \noindent \textcolor{red}{\underline{\bf{PC00} (5.36e+05):}}
-{$-0.655$}{\rm $c_{\varphi B}$} 
-{$+0.621$}{\rm $c_{\varphi G}$} 
-{$+0.365$}{\rm $c_{\varphi WB}$} 
-{$-0.199$}{\rm $c_{\varphi W}$} 
-{$+0.087$}{\rm $c_{b \varphi}$} 
-{$-0.039$}{\rm $c_{tW}$} 
-{$+0.036$}{\rm $c_{tG}$} 
-{$+0.035$}{\rm $c_{tZ}$} 
-{$+0.028$}{\rm $c_{c \varphi}$} 
-{$+0.013$}{\rm $c_{\tau \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.655$}{\rm $c_{\varphi B}$}
+{$+0.621$}{\rm $c_{\varphi G}$}
+{$+0.365$}{\rm $c_{\varphi WB}$}
+{$-0.199$}{\rm $c_{\varphi W}$}
+{$+0.087$}{\rm $c_{b \varphi}$}
+{$-0.039$}{\rm $c_{tW}$}
+{$+0.036$}{\rm $c_{tG}$}
+{$+0.035$}{\rm $c_{tZ}$}
+{$+0.028$}{\rm $c_{c \varphi}$}
+{$+0.013$}{\rm $c_{\tau \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC01} (1.90e+05):}}
-{$-0.776$}{\rm $c_{\varphi G}$} 
-{$-0.531$}{\rm $c_{\varphi B}$} 
-{$+0.289$}{\rm $c_{\varphi WB}$} 
-{$-0.162$}{\rm $c_{\varphi W}$} 
-{$-0.044$}{\rm $c_{b \varphi}$} 
-{$-0.042$}{\rm $c_{tG}$} 
-{$-0.032$}{\rm $c_{tW}$} 
-{$+0.029$}{\rm $c_{tZ}$} 
-{$-0.014$}{\rm $c_{c \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.776$}{\rm $c_{\varphi G}$}
+{$-0.531$}{\rm $c_{\varphi B}$}
+{$+0.289$}{\rm $c_{\varphi WB}$}
+{$-0.162$}{\rm $c_{\varphi W}$}
+{$-0.044$}{\rm $c_{b \varphi}$}
+{$-0.042$}{\rm $c_{tG}$}
+{$-0.032$}{\rm $c_{tW}$}
+{$+0.029$}{\rm $c_{tZ}$}
+{$-0.014$}{\rm $c_{c \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC02} (4.44e+03):}}
-{$+0.830$}{\rm $c_{\tau \varphi}$} 
-{$-0.504$}{\rm $c_{b \varphi}$} 
-{$-0.162$}{\rm $c_{\varphi WB}$} 
-{$-0.099$}{\rm $c_{\varphi B}$} 
-{$-0.099$}{\rm $c_{\varphi D}$} 
-{$-0.096$}{\rm $c_{c \varphi}$} 
-{$+0.046$}{\rm $c_{\varphi G}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.830$}{\rm $c_{\tau \varphi}$}
+{$-0.504$}{\rm $c_{b \varphi}$}
+{$-0.162$}{\rm $c_{\varphi WB}$}
+{$-0.099$}{\rm $c_{\varphi B}$}
+{$-0.099$}{\rm $c_{\varphi D}$}
+{$-0.096$}{\rm $c_{c \varphi}$}
+{$+0.046$}{\rm $c_{\varphi G}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC03} (2.33e+03):}}
-{$-0.721$}{\rm $c_{b \varphi}$} 
-{$-0.556$}{\rm $c_{\tau \varphi}$} 
-{$-0.279$}{\rm $c_{\varphi WB}$} 
-{$-0.194$}{\rm $c_{\varphi B}$} 
-{$-0.186$}{\rm $c_{\varphi D}$} 
-{$-0.127$}{\rm $c_{c \varphi}$} 
-{$+0.073$}{\rm $c_{\varphi G}$} 
-{$-0.014$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{tZ}$} 
-{$-0.010$}{\rm $c_{tW}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.721$}{\rm $c_{b \varphi}$}
+{$-0.556$}{\rm $c_{\tau \varphi}$}
+{$-0.279$}{\rm $c_{\varphi WB}$}
+{$-0.194$}{\rm $c_{\varphi B}$}
+{$-0.186$}{\rm $c_{\varphi D}$}
+{$-0.127$}{\rm $c_{c \varphi}$}
+{$+0.073$}{\rm $c_{\varphi G}$}
+{$-0.014$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{tZ}$}
+{$-0.010$}{\rm $c_{tW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC04} (1.54e+03):}}
-{$-0.709$}{\rm $c_{\varphi WB}$} 
-{$+0.399$}{\rm $c_{b \varphi}$} 
-{$-0.396$}{\rm $c_{\varphi D}$} 
-{$-0.357$}{\rm $c_{\varphi B}$} 
-{$+0.218$}{\rm $c_{c \varphi}$} 
-{$+0.041$}{\rm $c_{\tau \varphi}$} 
-{$-0.038$}{\rm $c_{\varphi G}$} 
-{$-0.030$}{\rm $c_{\varphi W}$} 
-{$+0.028$}{\rm $c_{tG}$} 
-{$-0.021$}{\rm $c_{tW}$} 
-{$+0.019$}{\rm $c_{tZ}$} 
-{$+0.011$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.709$}{\rm $c_{\varphi WB}$}
+{$+0.399$}{\rm $c_{b \varphi}$}
+{$-0.396$}{\rm $c_{\varphi D}$}
+{$-0.357$}{\rm $c_{\varphi B}$}
+{$+0.218$}{\rm $c_{c \varphi}$}
+{$+0.041$}{\rm $c_{\tau \varphi}$}
+{$-0.038$}{\rm $c_{\varphi G}$}
+{$-0.030$}{\rm $c_{\varphi W}$}
+{$+0.028$}{\rm $c_{tG}$}
+{$-0.021$}{\rm $c_{tW}$}
+{$+0.019$}{\rm $c_{tZ}$}
+{$+0.011$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC05} (3.22e+02):}}
-{$-0.983$}{\rm $c_{tG}$} 
-{$-0.111$}{\rm $c_{c \varphi}$} 
-{$-0.071$}{\rm $c_{qq}^{1,8}$} 
-{$-0.070$}{\rm $c_{qt}^{8}$} 
-{$+0.054$}{\rm $c_{\varphi G}$} 
-{$+0.047$}{\rm $c_{b \varphi}$} 
-{$-0.032$}{\rm $c_{\varphi WB}$} 
-{$-0.031$}{\rm $c_{ut}^{8}$} 
-{$-0.029$}{\rm $c_{qu}^{8}$} 
-{$+0.021$}{\rm $c_{tW}$} 
-{$-0.020$}{\rm $c_{dt}^{8}$} 
-{$-0.019$}{\rm $c_{qd}^{8}$} 
-{$-0.017$}{\rm $c_{\varphi D}$} 
-{$-0.017$}{\rm $c_{\varphi W}$} 
-{$-0.015$}{\rm $c_{\varphi B}$} 
-{$+0.012$}{\rm $c_{\varphi Q}^{(-)}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.983$}{\rm $c_{tG}$}
+{$-0.111$}{\rm $c_{c \varphi}$}
+{$-0.071$}{\rm $c_{qq}^{1,8}$}
+{$-0.070$}{\rm $c_{qt}^{8}$}
+{$+0.054$}{\rm $c_{\varphi G}$}
+{$+0.047$}{\rm $c_{b \varphi}$}
+{$-0.032$}{\rm $c_{\varphi WB}$}
+{$-0.031$}{\rm $c_{ut}^{8}$}
+{$-0.029$}{\rm $c_{qu}^{8}$}
+{$+0.021$}{\rm $c_{tW}$}
+{$-0.020$}{\rm $c_{dt}^{8}$}
+{$-0.019$}{\rm $c_{qd}^{8}$}
+{$-0.017$}{\rm $c_{\varphi D}$}
+{$-0.017$}{\rm $c_{\varphi W}$}
+{$-0.015$}{\rm $c_{\varphi B}$}
+{$+0.012$}{\rm $c_{\varphi Q}^{(-)}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC06} (2.79e+02):}}
-{$-0.956$}{\rm $c_{qq}^{1,3}$} 
-{$+0.286$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.055$}{\rm $c_{tW}$} 
-{$+0.028$}{\rm $c_{c \varphi}$} 
-{$+0.023$}{\rm $c_{qq}^{8,3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.956$}{\rm $c_{qq}^{1,3}$}
+{$+0.286$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.055$}{\rm $c_{tW}$}
+{$+0.028$}{\rm $c_{c \varphi}$}
+{$+0.023$}{\rm $c_{qq}^{8,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC07} (1.72e+02):}}
-{$-0.926$}{\rm $c_{c \varphi}$} 
-{$-0.233$}{\rm $c_{\varphi W}$} 
-{$+0.226$}{\rm $c_{b \varphi}$} 
-{$+0.122$}{\rm $c_{tG}$} 
-{$-0.111$}{\rm $c_{\varphi WB}$} 
-{$-0.065$}{\rm $c_{\varphi D}$} 
-{$-0.062$}{\rm $c_{\varphi \Box}$} 
-{$-0.030$}{\rm $c_{qq}^{1,3}$} 
-{$+0.023$}{\rm $c_{qq}^{1,8}$} 
-{$+0.021$}{\rm $c_{tW}$} 
-{$+0.013$}{\rm $c_{t \varphi}$} 
-{$-0.013$}{\rm $c_{WWW}$} 
-{$+0.012$}{\rm $c_{qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.926$}{\rm $c_{c \varphi}$}
+{$-0.233$}{\rm $c_{\varphi W}$}
+{$+0.226$}{\rm $c_{b \varphi}$}
+{$+0.122$}{\rm $c_{tG}$}
+{$-0.111$}{\rm $c_{\varphi WB}$}
+{$-0.065$}{\rm $c_{\varphi D}$}
+{$-0.062$}{\rm $c_{\varphi \Box}$}
+{$-0.030$}{\rm $c_{qq}^{1,3}$}
+{$+0.023$}{\rm $c_{qq}^{1,8}$}
+{$+0.021$}{\rm $c_{tW}$}
+{$+0.013$}{\rm $c_{t \varphi}$}
+{$-0.013$}{\rm $c_{WWW}$}
+{$+0.012$}{\rm $c_{qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC08} (8.30e+01):}}
-{$-0.996$}{\rm $c_{tW}$} 
-{$-0.061$}{\rm $c_{qq}^{1,3}$} 
-{$+0.052$}{\rm $c_{\varphi B}$} 
-{$+0.023$}{\rm $c_{qq}^{1,8}$} 
-{$-0.023$}{\rm $c_{c \varphi}$} 
-{$-0.022$}{\rm $c_{tG}$} 
-{$+0.013$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.996$}{\rm $c_{tW}$}
+{$-0.061$}{\rm $c_{qq}^{1,3}$}
+{$+0.052$}{\rm $c_{\varphi B}$}
+{$+0.023$}{\rm $c_{qq}^{1,8}$}
+{$-0.023$}{\rm $c_{c \varphi}$}
+{$-0.022$}{\rm $c_{tG}$}
+{$+0.013$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC09} (3.29e+01):}}
-{$-0.795$}{\rm $c_{qq}^{1,8}$} 
-{$-0.423$}{\rm $c_{ut}^{8}$} 
-{$-0.231$}{\rm $c_{qt}^{8}$} 
-{$-0.201$}{\rm $c_{dt}^{8}$} 
-{$-0.195$}{\rm $c_{qq}^{1,1}$} 
-{$-0.127$}{\rm $c_{ut}^{1}$} 
-{$+0.094$}{\rm $c_{tG}$} 
-{$-0.085$}{\rm $c_{qq}^{8,3}$} 
-{$-0.074$}{\rm $c_{dt}^{1}$} 
-{$+0.069$}{\rm $c_{\varphi W}$} 
-{$+0.068$}{\rm $c_{qu}^{1}$} 
-{$+0.043$}{\rm $c_{qu}^{8}$} 
-{$+0.041$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.035$}{\rm $c_{c \varphi}$} 
-{$-0.029$}{\rm $c_{tW}$} 
-{$+0.028$}{\rm $c_{qd}^{1}$} 
-{$-0.026$}{\rm $c_{\varphi t}$} 
-{$+0.024$}{\rm $c_{qt}^{1}$} 
-{$-0.024$}{\rm $c_{\varphi B}$} 
-{$+0.019$}{\rm $c_{\varphi D}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.795$}{\rm $c_{qq}^{1,8}$}
+{$-0.423$}{\rm $c_{ut}^{8}$}
+{$-0.231$}{\rm $c_{qt}^{8}$}
+{$-0.201$}{\rm $c_{dt}^{8}$}
+{$-0.195$}{\rm $c_{qq}^{1,1}$}
+{$-0.127$}{\rm $c_{ut}^{1}$}
+{$+0.094$}{\rm $c_{tG}$}
+{$-0.085$}{\rm $c_{qq}^{8,3}$}
+{$-0.074$}{\rm $c_{dt}^{1}$}
+{$+0.069$}{\rm $c_{\varphi W}$}
+{$+0.068$}{\rm $c_{qu}^{1}$}
+{$+0.043$}{\rm $c_{qu}^{8}$}
+{$+0.041$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.035$}{\rm $c_{c \varphi}$}
+{$-0.029$}{\rm $c_{tW}$}
+{$+0.028$}{\rm $c_{qd}^{1}$}
+{$-0.026$}{\rm $c_{\varphi t}$}
+{$+0.024$}{\rm $c_{qt}^{1}$}
+{$-0.024$}{\rm $c_{\varphi B}$}
+{$+0.019$}{\rm $c_{\varphi D}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC10} (2.25e+01):}}
-{$+0.880$}{\rm $c_{\varphi W}$} 
-{$-0.304$}{\rm $c_{\varphi B}$} 
-{$+0.262$}{\rm $c_{\varphi D}$} 
-{$-0.217$}{\rm $c_{c \varphi}$} 
-{$+0.069$}{\rm $c_{qq}^{1,8}$} 
-{$-0.064$}{\rm $c_{\varphi WB}$} 
-{$+0.059$}{\rm $c_{b \varphi}$} 
-{$+0.046$}{\rm $c_{WWW}$} 
-{$+0.034$}{\rm $c_{qt}^{8}$} 
-{$+0.029$}{\rm $c_{ut}^{8}$} 
-{$+0.022$}{\rm $c_{t \varphi}$} 
-{$-0.014$}{\rm $c_{qu}^{1}$} 
-{$+0.014$}{\rm $c_{dt}^{8}$} 
-{$+0.013$}{\rm $c_{qq}^{1,1}$} 
-{$-0.012$}{\rm $c_{qt}^{1}$} 
-{$-0.010$}{\rm $c_{\varphi Q}^{3}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.880$}{\rm $c_{\varphi W}$}
+{$-0.304$}{\rm $c_{\varphi B}$}
+{$+0.262$}{\rm $c_{\varphi D}$}
+{$-0.217$}{\rm $c_{c \varphi}$}
+{$+0.069$}{\rm $c_{qq}^{1,8}$}
+{$-0.064$}{\rm $c_{\varphi WB}$}
+{$+0.059$}{\rm $c_{b \varphi}$}
+{$+0.046$}{\rm $c_{WWW}$}
+{$+0.034$}{\rm $c_{qt}^{8}$}
+{$+0.029$}{\rm $c_{ut}^{8}$}
+{$+0.022$}{\rm $c_{t \varphi}$}
+{$-0.014$}{\rm $c_{qu}^{1}$}
+{$+0.014$}{\rm $c_{dt}^{8}$}
+{$+0.013$}{\rm $c_{qq}^{1,1}$}
+{$-0.012$}{\rm $c_{qt}^{1}$}
+{$-0.010$}{\rm $c_{\varphi Q}^{3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC11} (1.81e+01):}}
-{$+0.731$}{\rm $c_{qt}^{8}$} 
-{$-0.354$}{\rm $c_{qt}^{1}$} 
-{$+0.307$}{\rm $c_{qu}^{8}$} 
-{$-0.286$}{\rm $c_{qu}^{1}$} 
-{$-0.241$}{\rm $c_{qq}^{8,3}$} 
-{$-0.175$}{\rm $c_{ut}^{8}$} 
-{$+0.145$}{\rm $c_{qd}^{8}$} 
-{$-0.123$}{\rm $c_{qd}^{1}$} 
-{$-0.110$}{\rm $c_{qq}^{1,1}$} 
-{$-0.091$}{\rm $c_{ut}^{1}$} 
-{$-0.070$}{\rm $c_{qq}^{1,8}$} 
-{$-0.064$}{\rm $c_{dt}^{8}$} 
-{$-0.057$}{\rm $c_{tG}$} 
-{$-0.053$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.034$}{\rm $c_{\varphi t}$} 
-{$-0.032$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.022$}{\rm $c_{dt}^{1}$} 
-{$-0.019$}{\rm $c_{\varphi W}$} 
-{$-0.013$}{\rm $c_{qq}^{1,3}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.731$}{\rm $c_{qt}^{8}$}
+{$-0.354$}{\rm $c_{qt}^{1}$}
+{$+0.307$}{\rm $c_{qu}^{8}$}
+{$-0.286$}{\rm $c_{qu}^{1}$}
+{$-0.241$}{\rm $c_{qq}^{8,3}$}
+{$-0.175$}{\rm $c_{ut}^{8}$}
+{$+0.145$}{\rm $c_{qd}^{8}$}
+{$-0.123$}{\rm $c_{qd}^{1}$}
+{$-0.110$}{\rm $c_{qq}^{1,1}$}
+{$-0.091$}{\rm $c_{ut}^{1}$}
+{$-0.070$}{\rm $c_{qq}^{1,8}$}
+{$-0.064$}{\rm $c_{dt}^{8}$}
+{$-0.057$}{\rm $c_{tG}$}
+{$-0.053$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.034$}{\rm $c_{\varphi t}$}
+{$-0.032$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.022$}{\rm $c_{dt}^{1}$}
+{$-0.019$}{\rm $c_{\varphi W}$}
+{$-0.013$}{\rm $c_{qq}^{1,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC12} (7.64e+00):}}
-{$-0.948$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.285$}{\rm $c_{qq}^{1,3}$} 
-{$-0.107$}{\rm $c_{qq}^{8,3}$} 
-{$+0.046$}{\rm $c_{qt}^{1}$} 
-{$+0.041$}{\rm $c_{qu}^{1}$} 
-{$-0.030$}{\rm $c_{qt}^{8}$} 
-{$+0.027$}{\rm $c_{qq}^{1,8}$} 
-{$+0.024$}{\rm $c_{tW}$} 
-{$-0.021$}{\rm $c_{\varphi D}$} 
-{$-0.021$}{\rm $c_{qu}^{8}$} 
-{$-0.021$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.018$}{\rm $c_{qd}^{1}$} 
-{$+0.016$}{\rm $c_{WWW}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.948$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.285$}{\rm $c_{qq}^{1,3}$}
+{$-0.107$}{\rm $c_{qq}^{8,3}$}
+{$+0.046$}{\rm $c_{qt}^{1}$}
+{$+0.041$}{\rm $c_{qu}^{1}$}
+{$-0.030$}{\rm $c_{qt}^{8}$}
+{$+0.027$}{\rm $c_{qq}^{1,8}$}
+{$+0.024$}{\rm $c_{tW}$}
+{$-0.021$}{\rm $c_{\varphi D}$}
+{$-0.021$}{\rm $c_{qu}^{8}$}
+{$-0.021$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.018$}{\rm $c_{qd}^{1}$}
+{$+0.016$}{\rm $c_{WWW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC13} (3.91e+00):}}
-{$-0.397$}{\rm $c_{ut}^{8}$} 
-{$+0.383$}{\rm $c_{qt}^{1}$} 
-{$-0.378$}{\rm $c_{qq}^{8,3}$} 
-{$+0.362$}{\rm $c_{qu}^{1}$} 
-{$+0.335$}{\rm $c_{qq}^{1,8}$} 
-{$-0.302$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.201$}{\rm $c_{dt}^{8}$} 
-{$+0.195$}{\rm $c_{\varphi t}$} 
-{$-0.176$}{\rm $c_{qq}^{1,1}$} 
-{$+0.167$}{\rm $c_{qd}^{1}$} 
-{$-0.163$}{\rm $c_{qu}^{8}$} 
-{$+0.162$}{\rm $c_{qt}^{8}$} 
-{$+0.094$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.085$}{\rm $c_{ut}^{1}$} 
-{$-0.078$}{\rm $c_{dt}^{1}$} 
-{$-0.055$}{\rm $c_{qd}^{8}$} 
-{$-0.039$}{\rm $c_{tZ}$} 
-{$+0.018$}{\rm $c_{qq}^{1,3}$} 
-{$-0.015$}{\rm $c_{\varphi D}$} 
-{$-0.015$}{\rm $c_{tG}$} 
-{$+0.010$}{\rm $c_{t \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.397$}{\rm $c_{ut}^{8}$}
+{$+0.383$}{\rm $c_{qt}^{1}$}
+{$-0.378$}{\rm $c_{qq}^{8,3}$}
+{$+0.362$}{\rm $c_{qu}^{1}$}
+{$+0.335$}{\rm $c_{qq}^{1,8}$}
+{$-0.302$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.201$}{\rm $c_{dt}^{8}$}
+{$+0.195$}{\rm $c_{\varphi t}$}
+{$-0.176$}{\rm $c_{qq}^{1,1}$}
+{$+0.167$}{\rm $c_{qd}^{1}$}
+{$-0.163$}{\rm $c_{qu}^{8}$}
+{$+0.162$}{\rm $c_{qt}^{8}$}
+{$+0.094$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.085$}{\rm $c_{ut}^{1}$}
+{$-0.078$}{\rm $c_{dt}^{1}$}
+{$-0.055$}{\rm $c_{qd}^{8}$}
+{$-0.039$}{\rm $c_{tZ}$}
+{$+0.018$}{\rm $c_{qq}^{1,3}$}
+{$-0.015$}{\rm $c_{\varphi D}$}
+{$-0.015$}{\rm $c_{tG}$}
+{$+0.010$}{\rm $c_{t \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC14} (2.46e+00):}}
-{$-0.973$}{\rm $c_{WWW}$} 
-{$-0.162$}{\rm $c_{\varphi D}$} 
-{$+0.108$}{\rm $c_{\varphi W}$} 
-{$+0.090$}{\rm $c_{\varphi WB}$} 
-{$-0.045$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.037$}{\rm $c_{\varphi \Box}$} 
-{$+0.029$}{\rm $c_{qu}^{8}$} 
-{$+0.024$}{\rm $c_{\varphi t}$} 
-{$-0.023$}{\rm $c_{qq}^{1,8}$} 
-{$+0.021$}{\rm $c_{qq}^{8,3}$} 
-{$+0.019$}{\rm $c_{qq}^{1,1}$} 
-{$+0.017$}{\rm $c_{qu}^{1}$} 
-{$+0.016$}{\rm $c_{\varphi B}$} 
-{$+0.014$}{\rm $c_{qt}^{1}$} 
-{$-0.014$}{\rm $c_{c \varphi}$} 
-{$+0.013$}{\rm $c_{qd}^{8}$} 
-{$-0.013$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.010$}{\rm $c_{ut}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.973$}{\rm $c_{WWW}$}
+{$-0.162$}{\rm $c_{\varphi D}$}
+{$+0.108$}{\rm $c_{\varphi W}$}
+{$+0.090$}{\rm $c_{\varphi WB}$}
+{$-0.045$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.037$}{\rm $c_{\varphi \Box}$}
+{$+0.029$}{\rm $c_{qu}^{8}$}
+{$+0.024$}{\rm $c_{\varphi t}$}
+{$-0.023$}{\rm $c_{qq}^{1,8}$}
+{$+0.021$}{\rm $c_{qq}^{8,3}$}
+{$+0.019$}{\rm $c_{qq}^{1,1}$}
+{$+0.017$}{\rm $c_{qu}^{1}$}
+{$+0.016$}{\rm $c_{\varphi B}$}
+{$+0.014$}{\rm $c_{qt}^{1}$}
+{$-0.014$}{\rm $c_{c \varphi}$}
+{$+0.013$}{\rm $c_{qd}^{8}$}
+{$-0.013$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.010$}{\rm $c_{ut}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC15} (2.25e+00):}}
-{$+0.818$}{\rm $c_{\varphi D}$} 
-{$-0.380$}{\rm $c_{\varphi WB}$} 
-{$-0.284$}{\rm $c_{\varphi W}$} 
-{$-0.216$}{\rm $c_{WWW}$} 
-{$-0.171$}{\rm $c_{\varphi \Box}$} 
-{$-0.125$}{\rm $c_{\varphi B}$} 
-{$+0.065$}{\rm $c_{c \varphi}$} 
-{$+0.061$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.033$}{\rm $c_{t \varphi}$} 
-{$-0.031$}{\rm $c_{b \varphi}$} 
-{$-0.027$}{\rm $c_{\varphi t}$} 
-{$+0.025$}{\rm $c_{qt}^{1}$} 
-{$+0.023$}{\rm $c_{qu}^{1}$} 
-{$+0.022$}{\rm $c_{qt}^{8}$} 
-{$-0.020$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.017$}{\rm $c_{qq}^{8,3}$} 
-{$-0.016$}{\rm $c_{tZ}$} 
-{$-0.014$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.818$}{\rm $c_{\varphi D}$}
+{$-0.380$}{\rm $c_{\varphi WB}$}
+{$-0.284$}{\rm $c_{\varphi W}$}
+{$-0.216$}{\rm $c_{WWW}$}
+{$-0.171$}{\rm $c_{\varphi \Box}$}
+{$-0.125$}{\rm $c_{\varphi B}$}
+{$+0.065$}{\rm $c_{c \varphi}$}
+{$+0.061$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.033$}{\rm $c_{t \varphi}$}
+{$-0.031$}{\rm $c_{b \varphi}$}
+{$-0.027$}{\rm $c_{\varphi t}$}
+{$+0.025$}{\rm $c_{qt}^{1}$}
+{$+0.023$}{\rm $c_{qu}^{1}$}
+{$+0.022$}{\rm $c_{qt}^{8}$}
+{$-0.020$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.017$}{\rm $c_{qq}^{8,3}$}
+{$-0.016$}{\rm $c_{tZ}$}
+{$-0.014$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC16} (1.73e+00):}}
-{$+0.727$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.447$}{\rm $c_{\varphi t}$} 
-{$-0.295$}{\rm $c_{qu}^{8}$} 
-{$-0.226$}{\rm $c_{qq}^{8,3}$} 
-{$-0.207$}{\rm $c_{qd}^{8}$} 
-{$+0.147$}{\rm $c_{qt}^{8}$} 
-{$+0.130$}{\rm $c_{qq}^{1,8}$} 
-{$-0.123$}{\rm $c_{dt}^{8}$} 
-{$-0.120$}{\rm $c_{ut}^{8}$} 
-{$+0.096$}{\rm $c_{tZ}$} 
-{$-0.065$}{\rm $c_{\varphi D}$} 
-{$-0.049$}{\rm $c_{WWW}$} 
-{$-0.045$}{\rm $c_{qq}^{1,1}$} 
-{$+0.033$}{\rm $c_{qt}^{1}$} 
-{$+0.032$}{\rm $c_{\varphi WB}$} 
-{$+0.024$}{\rm $c_{\varphi W}$} 
-{$+0.023$}{\rm $c_{qd}^{1}$} 
-{$+0.022$}{\rm $c_{\varphi \Box}$} 
-{$+0.018$}{\rm $c_{t \varphi}$} 
-{$+0.017$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.017$}{\rm $c_{\varphi B}$} 
-{$+0.013$}{\rm $c_{tG}$} 
-{$-0.013$}{\rm $c_{dt}^{1}$} 
-{$-0.011$}{\rm $c_{ut}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.727$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.447$}{\rm $c_{\varphi t}$}
+{$-0.295$}{\rm $c_{qu}^{8}$}
+{$-0.226$}{\rm $c_{qq}^{8,3}$}
+{$-0.207$}{\rm $c_{qd}^{8}$}
+{$+0.147$}{\rm $c_{qt}^{8}$}
+{$+0.130$}{\rm $c_{qq}^{1,8}$}
+{$-0.123$}{\rm $c_{dt}^{8}$}
+{$-0.120$}{\rm $c_{ut}^{8}$}
+{$+0.096$}{\rm $c_{tZ}$}
+{$-0.065$}{\rm $c_{\varphi D}$}
+{$-0.049$}{\rm $c_{WWW}$}
+{$-0.045$}{\rm $c_{qq}^{1,1}$}
+{$+0.033$}{\rm $c_{qt}^{1}$}
+{$+0.032$}{\rm $c_{\varphi WB}$}
+{$+0.024$}{\rm $c_{\varphi W}$}
+{$+0.023$}{\rm $c_{qd}^{1}$}
+{$+0.022$}{\rm $c_{\varphi \Box}$}
+{$+0.018$}{\rm $c_{t \varphi}$}
+{$+0.017$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.017$}{\rm $c_{\varphi B}$}
+{$+0.013$}{\rm $c_{tG}$}
+{$-0.013$}{\rm $c_{dt}^{1}$}
+{$-0.011$}{\rm $c_{ut}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC17} (7.86e-01):}}
-{$-0.522$}{\rm $c_{qt}^{8}$} 
-{$-0.439$}{\rm $c_{qt}^{1}$} 
-{$+0.360$}{\rm $c_{qq}^{1,8}$} 
-{$-0.313$}{\rm $c_{qu}^{1}$} 
-{$-0.285$}{\rm $c_{qq}^{1,1}$} 
-{$-0.230$}{\rm $c_{ut}^{8}$} 
-{$+0.214$}{\rm $c_{qd}^{8}$} 
-{$-0.203$}{\rm $c_{qq}^{8,3}$} 
-{$-0.168$}{\rm $c_{ut}^{1}$} 
-{$+0.128$}{\rm $c_{t \varphi}$} 
-{$-0.126$}{\rm $c_{qd}^{1}$} 
-{$-0.085$}{\rm $c_{qu}^{8}$} 
-{$-0.075$}{\rm $c_{dt}^{1}$} 
-{$-0.063$}{\rm $c_{\varphi \Box}$} 
-{$-0.048$}{\rm $c_{dt}^{8}$} 
-{$-0.041$}{\rm $c_{WWW}$} 
-{$+0.037$}{\rm $c_{\varphi t}$} 
-{$+0.034$}{\rm $c_{tt}^{1}$} 
-{$-0.024$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.019$}{\rm $c_{Qt}^{8}$} 
-{$+0.017$}{\rm $c_{QQ}^{1}$} 
-{$+0.013$}{\rm $c_{tG}$} 
-{$+0.013$}{\rm $c_{\varphi Q}^{3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.522$}{\rm $c_{qt}^{8}$}
+{$-0.439$}{\rm $c_{qt}^{1}$}
+{$+0.360$}{\rm $c_{qq}^{1,8}$}
+{$-0.313$}{\rm $c_{qu}^{1}$}
+{$-0.285$}{\rm $c_{qq}^{1,1}$}
+{$-0.230$}{\rm $c_{ut}^{8}$}
+{$+0.214$}{\rm $c_{qd}^{8}$}
+{$-0.203$}{\rm $c_{qq}^{8,3}$}
+{$-0.168$}{\rm $c_{ut}^{1}$}
+{$+0.128$}{\rm $c_{t \varphi}$}
+{$-0.126$}{\rm $c_{qd}^{1}$}
+{$-0.085$}{\rm $c_{qu}^{8}$}
+{$-0.075$}{\rm $c_{dt}^{1}$}
+{$-0.063$}{\rm $c_{\varphi \Box}$}
+{$-0.048$}{\rm $c_{dt}^{8}$}
+{$-0.041$}{\rm $c_{WWW}$}
+{$+0.037$}{\rm $c_{\varphi t}$}
+{$+0.034$}{\rm $c_{tt}^{1}$}
+{$-0.024$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.019$}{\rm $c_{Qt}^{8}$}
+{$+0.017$}{\rm $c_{QQ}^{1}$}
+{$+0.013$}{\rm $c_{tG}$}
+{$+0.013$}{\rm $c_{\varphi Q}^{3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC18} (6.11e-01):}}
-{$-0.820$}{\rm $c_{\varphi \Box}$} 
-{$+0.444$}{\rm $c_{t \varphi}$} 
-{$-0.176$}{\rm $c_{qd}^{8}$} 
-{$-0.163$}{\rm $c_{qu}^{8}$} 
-{$-0.109$}{\rm $c_{\varphi D}$} 
-{$-0.109$}{\rm $c_{qq}^{1,8}$} 
-{$+0.103$}{\rm $c_{ut}^{8}$} 
-{$-0.078$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.076$}{\rm $c_{qt}^{8}$} 
-{$-0.073$}{\rm $c_{qu}^{1}$} 
-{$-0.069$}{\rm $c_{qq}^{8,3}$} 
-{$+0.058$}{\rm $c_{\varphi t}$} 
-{$+0.058$}{\rm $c_{qq}^{1,1}$} 
-{$+0.052$}{\rm $c_{c \varphi}$} 
-{$+0.050$}{\rm $c_{\varphi WB}$} 
-{$+0.045$}{\rm $c_{\varphi W}$} 
-{$+0.040$}{\rm $c_{ut}^{1}$} 
-{$+0.022$}{\rm $c_{dt}^{1}$} 
-{$+0.016$}{\rm $c_{\varphi B}$} 
-{$+0.011$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.820$}{\rm $c_{\varphi \Box}$}
+{$+0.444$}{\rm $c_{t \varphi}$}
+{$-0.176$}{\rm $c_{qd}^{8}$}
+{$-0.163$}{\rm $c_{qu}^{8}$}
+{$-0.109$}{\rm $c_{\varphi D}$}
+{$-0.109$}{\rm $c_{qq}^{1,8}$}
+{$+0.103$}{\rm $c_{ut}^{8}$}
+{$-0.078$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.076$}{\rm $c_{qt}^{8}$}
+{$-0.073$}{\rm $c_{qu}^{1}$}
+{$-0.069$}{\rm $c_{qq}^{8,3}$}
+{$+0.058$}{\rm $c_{\varphi t}$}
+{$+0.058$}{\rm $c_{qq}^{1,1}$}
+{$+0.052$}{\rm $c_{c \varphi}$}
+{$+0.050$}{\rm $c_{\varphi WB}$}
+{$+0.045$}{\rm $c_{\varphi W}$}
+{$+0.040$}{\rm $c_{ut}^{1}$}
+{$+0.022$}{\rm $c_{dt}^{1}$}
+{$+0.016$}{\rm $c_{\varphi B}$}
+{$+0.011$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC19} (4.95e-01):}}
-{$+0.458$}{\rm $c_{qd}^{8}$} 
-{$-0.427$}{\rm $c_{ut}^{8}$} 
-{$+0.412$}{\rm $c_{qu}^{8}$} 
-{$+0.365$}{\rm $c_{qq}^{1,1}$} 
-{$-0.286$}{\rm $c_{\varphi \Box}$} 
-{$+0.238$}{\rm $c_{qu}^{1}$} 
-{$+0.203$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.195$}{\rm $c_{ut}^{1}$} 
-{$+0.163$}{\rm $c_{qq}^{1,8}$} 
-{$-0.133$}{\rm $c_{\varphi t}$} 
-{$+0.121$}{\rm $c_{qq}^{8,3}$} 
-{$+0.087$}{\rm $c_{dt}^{1}$} 
-{$-0.087$}{\rm $c_{qt}^{8}$} 
-{$-0.058$}{\rm $c_{\varphi D}$} 
-{$+0.056$}{\rm $c_{qt}^{1}$} 
-{$-0.041$}{\rm $c_{tt}^{1}$} 
-{$+0.030$}{\rm $c_{\varphi W}$} 
-{$+0.027$}{\rm $c_{\varphi WB}$} 
-{$-0.024$}{\rm $c_{Qt}^{8}$} 
-{$+0.022$}{\rm $c_{tZ}$} 
-{$+0.021$}{\rm $c_{WWW}$} 
-{$-0.021$}{\rm $c_{t \varphi}$} 
-{$-0.020$}{\rm $c_{QQ}^{1}$} 
-{$+0.020$}{\rm $c_{dt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.458$}{\rm $c_{qd}^{8}$}
+{$-0.427$}{\rm $c_{ut}^{8}$}
+{$+0.412$}{\rm $c_{qu}^{8}$}
+{$+0.365$}{\rm $c_{qq}^{1,1}$}
+{$-0.286$}{\rm $c_{\varphi \Box}$}
+{$+0.238$}{\rm $c_{qu}^{1}$}
+{$+0.203$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.195$}{\rm $c_{ut}^{1}$}
+{$+0.163$}{\rm $c_{qq}^{1,8}$}
+{$-0.133$}{\rm $c_{\varphi t}$}
+{$+0.121$}{\rm $c_{qq}^{8,3}$}
+{$+0.087$}{\rm $c_{dt}^{1}$}
+{$-0.087$}{\rm $c_{qt}^{8}$}
+{$-0.058$}{\rm $c_{\varphi D}$}
+{$+0.056$}{\rm $c_{qt}^{1}$}
+{$-0.041$}{\rm $c_{tt}^{1}$}
+{$+0.030$}{\rm $c_{\varphi W}$}
+{$+0.027$}{\rm $c_{\varphi WB}$}
+{$-0.024$}{\rm $c_{Qt}^{8}$}
+{$+0.022$}{\rm $c_{tZ}$}
+{$+0.021$}{\rm $c_{WWW}$}
+{$-0.021$}{\rm $c_{t \varphi}$}
+{$-0.020$}{\rm $c_{QQ}^{1}$}
+{$+0.020$}{\rm $c_{dt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC20} (2.47e-01):}}
-{$+0.576$}{\rm $c_{t \varphi}$} 
-{$+0.428$}{\rm $c_{qq}^{1,1}$} 
-{$+0.403$}{\rm $c_{\varphi \Box}$} 
-{$-0.347$}{\rm $c_{qq}^{8,3}$} 
-{$+0.271$}{\rm $c_{ut}^{1}$} 
-{$-0.172$}{\rm $c_{tt}^{1}$} 
-{$-0.123$}{\rm $c_{qu}^{1}$} 
-{$+0.123$}{\rm $c_{dt}^{1}$} 
-{$-0.101$}{\rm $c_{qq}^{1,8}$} 
-{$-0.098$}{\rm $c_{Qt}^{8}$} 
-{$-0.093$}{\rm $c_{qu}^{8}$} 
-{$-0.085$}{\rm $c_{QQ}^{1}$} 
-{$+0.078$}{\rm $c_{\varphi D}$} 
-{$+0.073$}{\rm $c_{\varphi t}$} 
-{$-0.073$}{\rm $c_{ut}^{8}$} 
-{$-0.056$}{\rm $c_{qt}^{8}$} 
-{$+0.055$}{\rm $c_{dt}^{8}$} 
-{$-0.049$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.049$}{\rm $c_{\varphi W}$} 
-{$+0.036$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.036$}{\rm $c_{\varphi WB}$} 
-{$-0.029$}{\rm $c_{QQ}^{8}$} 
-{$+0.028$}{\rm $c_{qd}^{8}$} 
-{$-0.025$}{\rm $c_{qd}^{1}$} 
-{$+0.015$}{\rm $c_{tG}$} 
-{$-0.014$}{\rm $c_{tZ}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.576$}{\rm $c_{t \varphi}$}
+{$+0.428$}{\rm $c_{qq}^{1,1}$}
+{$+0.403$}{\rm $c_{\varphi \Box}$}
+{$-0.347$}{\rm $c_{qq}^{8,3}$}
+{$+0.271$}{\rm $c_{ut}^{1}$}
+{$-0.172$}{\rm $c_{tt}^{1}$}
+{$-0.123$}{\rm $c_{qu}^{1}$}
+{$+0.123$}{\rm $c_{dt}^{1}$}
+{$-0.101$}{\rm $c_{qq}^{1,8}$}
+{$-0.098$}{\rm $c_{Qt}^{8}$}
+{$-0.093$}{\rm $c_{qu}^{8}$}
+{$-0.085$}{\rm $c_{QQ}^{1}$}
+{$+0.078$}{\rm $c_{\varphi D}$}
+{$+0.073$}{\rm $c_{\varphi t}$}
+{$-0.073$}{\rm $c_{ut}^{8}$}
+{$-0.056$}{\rm $c_{qt}^{8}$}
+{$+0.055$}{\rm $c_{dt}^{8}$}
+{$-0.049$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.049$}{\rm $c_{\varphi W}$}
+{$+0.036$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.036$}{\rm $c_{\varphi WB}$}
+{$-0.029$}{\rm $c_{QQ}^{8}$}
+{$+0.028$}{\rm $c_{qd}^{8}$}
+{$-0.025$}{\rm $c_{qd}^{1}$}
+{$+0.015$}{\rm $c_{tG}$}
+{$-0.014$}{\rm $c_{tZ}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC21} (1.74e-01):}}
-{$-0.652$}{\rm $c_{qq}^{8,3}$} 
-{$-0.539$}{\rm $c_{t \varphi}$} 
-{$+0.256$}{\rm $c_{ut}^{8}$} 
-{$-0.192$}{\rm $c_{\varphi \Box}$} 
-{$+0.166$}{\rm $c_{ut}^{1}$} 
-{$-0.159$}{\rm $c_{qt}^{8}$} 
-{$+0.149$}{\rm $c_{\varphi t}$} 
-{$+0.142$}{\rm $c_{qq}^{1,1}$} 
-{$-0.122$}{\rm $c_{qq}^{1,8}$} 
-{$-0.120$}{\rm $c_{qu}^{1}$} 
-{$+0.112$}{\rm $c_{dt}^{8}$} 
-{$+0.093$}{\rm $c_{qd}^{8}$} 
-{$-0.088$}{\rm $c_{tt}^{1}$} 
-{$+0.070$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.069$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.062$}{\rm $c_{qd}^{1}$} 
-{$+0.054$}{\rm $c_{qt}^{1}$} 
-{$-0.051$}{\rm $c_{Qt}^{8}$} 
-{$+0.046$}{\rm $c_{dt}^{1}$} 
-{$+0.044$}{\rm $c_{qu}^{8}$} 
-{$-0.043$}{\rm $c_{\varphi D}$} 
-{$-0.043$}{\rm $c_{QQ}^{1}$} 
-{$+0.026$}{\rm $c_{\varphi W}$} 
-{$-0.022$}{\rm $c_{tZ}$} 
-{$+0.020$}{\rm $c_{\varphi WB}$} 
-{$-0.016$}{\rm $c_{QQ}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.652$}{\rm $c_{qq}^{8,3}$}
+{$-0.539$}{\rm $c_{t \varphi}$}
+{$+0.256$}{\rm $c_{ut}^{8}$}
+{$-0.192$}{\rm $c_{\varphi \Box}$}
+{$+0.166$}{\rm $c_{ut}^{1}$}
+{$-0.159$}{\rm $c_{qt}^{8}$}
+{$+0.149$}{\rm $c_{\varphi t}$}
+{$+0.142$}{\rm $c_{qq}^{1,1}$}
+{$-0.122$}{\rm $c_{qq}^{1,8}$}
+{$-0.120$}{\rm $c_{qu}^{1}$}
+{$+0.112$}{\rm $c_{dt}^{8}$}
+{$+0.093$}{\rm $c_{qd}^{8}$}
+{$-0.088$}{\rm $c_{tt}^{1}$}
+{$+0.070$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.069$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.062$}{\rm $c_{qd}^{1}$}
+{$+0.054$}{\rm $c_{qt}^{1}$}
+{$-0.051$}{\rm $c_{Qt}^{8}$}
+{$+0.046$}{\rm $c_{dt}^{1}$}
+{$+0.044$}{\rm $c_{qu}^{8}$}
+{$-0.043$}{\rm $c_{\varphi D}$}
+{$-0.043$}{\rm $c_{QQ}^{1}$}
+{$+0.026$}{\rm $c_{\varphi W}$}
+{$-0.022$}{\rm $c_{tZ}$}
+{$+0.020$}{\rm $c_{\varphi WB}$}
+{$-0.016$}{\rm $c_{QQ}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC22} (8.42e-02):}}
-{$-0.432$}{\rm $c_{tt}^{1}$} 
-{$-0.376$}{\rm $c_{qu}^{8}$} 
-{$-0.354$}{\rm $c_{qu}^{1}$} 
-{$-0.346$}{\rm $c_{ut}^{8}$} 
-{$-0.336$}{\rm $c_{t \varphi}$} 
-{$+0.274$}{\rm $c_{qq}^{8,3}$} 
-{$-0.244$}{\rm $c_{Qt}^{8}$} 
-{$-0.212$}{\rm $c_{QQ}^{1}$} 
-{$-0.194$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.162$}{\rm $c_{qq}^{1,1}$} 
-{$+0.129$}{\rm $c_{dt}^{1}$} 
-{$-0.114$}{\rm $c_{qd}^{8}$} 
-{$-0.083$}{\rm $c_{qd}^{1}$} 
-{$-0.083$}{\rm $c_{\varphi \Box}$} 
-{$+0.080$}{\rm $c_{ut}^{1}$} 
-{$-0.072$}{\rm $c_{dt}^{8}$} 
-{$-0.072$}{\rm $c_{QQ}^{8}$} 
-{$+0.065$}{\rm $c_{qt}^{8}$} 
-{$+0.048$}{\rm $c_{tZ}$} 
-{$-0.033$}{\rm $c_{\varphi t}$} 
-{$-0.033$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.029$}{\rm $c_{qq}^{1,8}$} 
-{$+0.014$}{\rm $c_{qt}^{1}$} 
-{$+0.014$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.432$}{\rm $c_{tt}^{1}$}
+{$-0.376$}{\rm $c_{qu}^{8}$}
+{$-0.354$}{\rm $c_{qu}^{1}$}
+{$-0.346$}{\rm $c_{ut}^{8}$}
+{$-0.336$}{\rm $c_{t \varphi}$}
+{$+0.274$}{\rm $c_{qq}^{8,3}$}
+{$-0.244$}{\rm $c_{Qt}^{8}$}
+{$-0.212$}{\rm $c_{QQ}^{1}$}
+{$-0.194$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.162$}{\rm $c_{qq}^{1,1}$}
+{$+0.129$}{\rm $c_{dt}^{1}$}
+{$-0.114$}{\rm $c_{qd}^{8}$}
+{$-0.083$}{\rm $c_{qd}^{1}$}
+{$-0.083$}{\rm $c_{\varphi \Box}$}
+{$+0.080$}{\rm $c_{ut}^{1}$}
+{$-0.072$}{\rm $c_{dt}^{8}$}
+{$-0.072$}{\rm $c_{QQ}^{8}$}
+{$+0.065$}{\rm $c_{qt}^{8}$}
+{$+0.048$}{\rm $c_{tZ}$}
+{$-0.033$}{\rm $c_{\varphi t}$}
+{$-0.033$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.029$}{\rm $c_{qq}^{1,8}$}
+{$+0.014$}{\rm $c_{qt}^{1}$}
+{$+0.014$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC23} (7.41e-02):}}
-{$+0.611$}{\rm $c_{tt}^{1}$} 
-{$+0.345$}{\rm $c_{Qt}^{8}$} 
-{$+0.300$}{\rm $c_{QQ}^{1}$} 
-{$-0.287$}{\rm $c_{qu}^{1}$} 
-{$+0.279$}{\rm $c_{qq}^{1,1}$} 
-{$-0.229$}{\rm $c_{ut}^{8}$} 
-{$-0.219$}{\rm $c_{qu}^{8}$} 
-{$-0.174$}{\rm $c_{tZ}$} 
-{$-0.172$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.150$}{\rm $c_{t \varphi}$} 
-{$+0.138$}{\rm $c_{ut}^{1}$} 
-{$-0.134$}{\rm $c_{\varphi t}$} 
-{$+0.105$}{\rm $c_{qt}^{1}$} 
-{$+0.101$}{\rm $c_{QQ}^{8}$} 
-{$+0.088$}{\rm $c_{dt}^{1}$} 
-{$-0.077$}{\rm $c_{qd}^{1}$} 
-{$-0.029$}{\rm $c_{qq}^{1,8}$} 
-{$-0.028$}{\rm $c_{qd}^{8}$} 
-{$+0.026$}{\rm $c_{dt}^{8}$} 
-{$+0.019$}{\rm $c_{qt}^{8}$} 
-{$+0.015$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.611$}{\rm $c_{tt}^{1}$}
+{$+0.345$}{\rm $c_{Qt}^{8}$}
+{$+0.300$}{\rm $c_{QQ}^{1}$}
+{$-0.287$}{\rm $c_{qu}^{1}$}
+{$+0.279$}{\rm $c_{qq}^{1,1}$}
+{$-0.229$}{\rm $c_{ut}^{8}$}
+{$-0.219$}{\rm $c_{qu}^{8}$}
+{$-0.174$}{\rm $c_{tZ}$}
+{$-0.172$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.150$}{\rm $c_{t \varphi}$}
+{$+0.138$}{\rm $c_{ut}^{1}$}
+{$-0.134$}{\rm $c_{\varphi t}$}
+{$+0.105$}{\rm $c_{qt}^{1}$}
+{$+0.101$}{\rm $c_{QQ}^{8}$}
+{$+0.088$}{\rm $c_{dt}^{1}$}
+{$-0.077$}{\rm $c_{qd}^{1}$}
+{$-0.029$}{\rm $c_{qq}^{1,8}$}
+{$-0.028$}{\rm $c_{qd}^{8}$}
+{$+0.026$}{\rm $c_{dt}^{8}$}
+{$+0.019$}{\rm $c_{qt}^{8}$}
+{$+0.015$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC24} (4.57e-02):}}
-{$+0.508$}{\rm $c_{dt}^{8}$} 
-{$+0.501$}{\rm $c_{qu}^{1}$} 
-{$-0.456$}{\rm $c_{qt}^{1}$} 
-{$-0.264$}{\rm $c_{qu}^{8}$} 
-{$-0.258$}{\rm $c_{qd}^{1}$} 
-{$+0.176$}{\rm $c_{qq}^{1,1}$} 
-{$-0.169$}{\rm $c_{ut}^{8}$} 
-{$-0.159$}{\rm $c_{qd}^{8}$} 
-{$-0.148$}{\rm $c_{dt}^{1}$} 
-{$-0.113$}{\rm $c_{t \varphi}$} 
-{$-0.082$}{\rm $c_{ut}^{1}$} 
-{$-0.068$}{\rm $c_{tZ}$} 
-{$-0.064$}{\rm $c_{qq}^{1,8}$} 
-{$-0.061$}{\rm $c_{qq}^{8,3}$} 
-{$+0.060$}{\rm $c_{qt}^{8}$} 
-{$+0.057$}{\rm $c_{\varphi t}$} 
-{$-0.025$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.010$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.508$}{\rm $c_{dt}^{8}$}
+{$+0.501$}{\rm $c_{qu}^{1}$}
+{$-0.456$}{\rm $c_{qt}^{1}$}
+{$-0.264$}{\rm $c_{qu}^{8}$}
+{$-0.258$}{\rm $c_{qd}^{1}$}
+{$+0.176$}{\rm $c_{qq}^{1,1}$}
+{$-0.169$}{\rm $c_{ut}^{8}$}
+{$-0.159$}{\rm $c_{qd}^{8}$}
+{$-0.148$}{\rm $c_{dt}^{1}$}
+{$-0.113$}{\rm $c_{t \varphi}$}
+{$-0.082$}{\rm $c_{ut}^{1}$}
+{$-0.068$}{\rm $c_{tZ}$}
+{$-0.064$}{\rm $c_{qq}^{1,8}$}
+{$-0.061$}{\rm $c_{qq}^{8,3}$}
+{$+0.060$}{\rm $c_{qt}^{8}$}
+{$+0.057$}{\rm $c_{\varphi t}$}
+{$-0.025$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.010$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC25} (3.12e-02):}}
-{$+0.847$}{\rm $c_{tZ}$} 
-{$+0.307$}{\rm $c_{\varphi t}$} 
-{$-0.199$}{\rm $c_{ut}^{1}$} 
-{$+0.172$}{\rm $c_{qq}^{1,1}$} 
-{$-0.147$}{\rm $c_{qd}^{1}$} 
-{$+0.145$}{\rm $c_{qt}^{1}$} 
-{$+0.124$}{\rm $c_{tt}^{1}$} 
-{$-0.107$}{\rm $c_{qu}^{1}$} 
-{$-0.107$}{\rm $c_{dt}^{1}$} 
-{$+0.092$}{\rm $c_{dt}^{8}$} 
-{$+0.078$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.078$}{\rm $c_{ut}^{8}$} 
-{$-0.073$}{\rm $c_{qd}^{8}$} 
-{$+0.065$}{\rm $c_{Qt}^{8}$} 
-{$+0.061$}{\rm $c_{QQ}^{1}$} 
-{$+0.038$}{\rm $c_{qu}^{8}$} 
-{$+0.037$}{\rm $c_{\varphi B}$} 
-{$+0.025$}{\rm $c_{\varphi D}$} 
-{$+0.015$}{\rm $c_{QQ}^{8}$} 
-{$+0.012$}{\rm $c_{qq}^{1,8}$} 
-{$-0.012$}{\rm $c_{t \varphi}$} 
-{$-0.011$}{\rm $c_{\varphi WB}$} 
-{$+0.011$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.847$}{\rm $c_{tZ}$}
+{$+0.307$}{\rm $c_{\varphi t}$}
+{$-0.199$}{\rm $c_{ut}^{1}$}
+{$+0.172$}{\rm $c_{qq}^{1,1}$}
+{$-0.147$}{\rm $c_{qd}^{1}$}
+{$+0.145$}{\rm $c_{qt}^{1}$}
+{$+0.124$}{\rm $c_{tt}^{1}$}
+{$-0.107$}{\rm $c_{qu}^{1}$}
+{$-0.107$}{\rm $c_{dt}^{1}$}
+{$+0.092$}{\rm $c_{dt}^{8}$}
+{$+0.078$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.078$}{\rm $c_{ut}^{8}$}
+{$-0.073$}{\rm $c_{qd}^{8}$}
+{$+0.065$}{\rm $c_{Qt}^{8}$}
+{$+0.061$}{\rm $c_{QQ}^{1}$}
+{$+0.038$}{\rm $c_{qu}^{8}$}
+{$+0.037$}{\rm $c_{\varphi B}$}
+{$+0.025$}{\rm $c_{\varphi D}$}
+{$+0.015$}{\rm $c_{QQ}^{8}$}
+{$+0.012$}{\rm $c_{qq}^{1,8}$}
+{$-0.012$}{\rm $c_{t \varphi}$}
+{$-0.011$}{\rm $c_{\varphi WB}$}
+{$+0.011$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC26} (2.63e-02):}}
-{$-0.509$}{\rm $c_{\varphi t}$} 
-{$+0.423$}{\rm $c_{tZ}$} 
-{$-0.395$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.372$}{\rm $c_{qd}^{1}$} 
-{$-0.322$}{\rm $c_{qt}^{1}$} 
-{$-0.191$}{\rm $c_{dt}^{8}$} 
-{$+0.182$}{\rm $c_{ut}^{1}$} 
-{$+0.170$}{\rm $c_{qu}^{1}$} 
-{$+0.132$}{\rm $c_{ut}^{8}$} 
-{$+0.118$}{\rm $c_{qd}^{8}$} 
-{$-0.105$}{\rm $c_{qu}^{8}$} 
-{$-0.093$}{\rm $c_{dt}^{1}$} 
-{$-0.077$}{\rm $c_{qq}^{8,3}$} 
-{$+0.058$}{\rm $c_{qq}^{1,1}$} 
-{$-0.042$}{\rm $c_{t \varphi}$} 
-{$-0.040$}{\rm $c_{qq}^{1,8}$} 
-{$+0.025$}{\rm $c_{tt}^{1}$} 
-{$+0.017$}{\rm $c_{\varphi B}$} 
-{$+0.017$}{\rm $c_{\varphi D}$} 
-{$+0.014$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.012$}{\rm $c_{QQ}^{1}$} 
-{$+0.012$}{\rm $c_{Qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.509$}{\rm $c_{\varphi t}$}
+{$+0.423$}{\rm $c_{tZ}$}
+{$-0.395$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.372$}{\rm $c_{qd}^{1}$}
+{$-0.322$}{\rm $c_{qt}^{1}$}
+{$-0.191$}{\rm $c_{dt}^{8}$}
+{$+0.182$}{\rm $c_{ut}^{1}$}
+{$+0.170$}{\rm $c_{qu}^{1}$}
+{$+0.132$}{\rm $c_{ut}^{8}$}
+{$+0.118$}{\rm $c_{qd}^{8}$}
+{$-0.105$}{\rm $c_{qu}^{8}$}
+{$-0.093$}{\rm $c_{dt}^{1}$}
+{$-0.077$}{\rm $c_{qq}^{8,3}$}
+{$+0.058$}{\rm $c_{qq}^{1,1}$}
+{$-0.042$}{\rm $c_{t \varphi}$}
+{$-0.040$}{\rm $c_{qq}^{1,8}$}
+{$+0.025$}{\rm $c_{tt}^{1}$}
+{$+0.017$}{\rm $c_{\varphi B}$}
+{$+0.017$}{\rm $c_{\varphi D}$}
+{$+0.014$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.012$}{\rm $c_{QQ}^{1}$}
+{$+0.012$}{\rm $c_{Qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC27} (2.50e-02):}}
-{$-0.545$}{\rm $c_{ut}^{1}$} 
-{$+0.538$}{\rm $c_{qq}^{1,1}$} 
-{$+0.376$}{\rm $c_{qd}^{1}$} 
-{$-0.318$}{\rm $c_{dt}^{1}$} 
-{$-0.268$}{\rm $c_{dt}^{8}$} 
-{$-0.215$}{\rm $c_{tZ}$} 
-{$-0.141$}{\rm $c_{qt}^{1}$} 
-{$+0.123$}{\rm $c_{\varphi t}$} 
-{$+0.078$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.066$}{\rm $c_{qu}^{1}$} 
-{$+0.050$}{\rm $c_{ut}^{8}$} 
-{$-0.043$}{\rm $c_{qd}^{8}$} 
-{$+0.034$}{\rm $c_{qq}^{8,3}$} 
-{$-0.033$}{\rm $c_{t \varphi}$} 
-{$+0.030$}{\rm $c_{qq}^{1,8}$} 
-{$-0.019$}{\rm $c_{qt}^{8}$} 
-{$-0.017$}{\rm $c_{tt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.545$}{\rm $c_{ut}^{1}$}
+{$+0.538$}{\rm $c_{qq}^{1,1}$}
+{$+0.376$}{\rm $c_{qd}^{1}$}
+{$-0.318$}{\rm $c_{dt}^{1}$}
+{$-0.268$}{\rm $c_{dt}^{8}$}
+{$-0.215$}{\rm $c_{tZ}$}
+{$-0.141$}{\rm $c_{qt}^{1}$}
+{$+0.123$}{\rm $c_{\varphi t}$}
+{$+0.078$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.066$}{\rm $c_{qu}^{1}$}
+{$+0.050$}{\rm $c_{ut}^{8}$}
+{$-0.043$}{\rm $c_{qd}^{8}$}
+{$+0.034$}{\rm $c_{qq}^{8,3}$}
+{$-0.033$}{\rm $c_{t \varphi}$}
+{$+0.030$}{\rm $c_{qq}^{1,8}$}
+{$-0.019$}{\rm $c_{qt}^{8}$}
+{$-0.017$}{\rm $c_{tt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC28} (1.44e-02):}}
-{$+0.501$}{\rm $c_{\varphi t}$} 
-{$-0.462$}{\rm $c_{dt}^{8}$} 
-{$-0.387$}{\rm $c_{qt}^{1}$} 
-{$+0.350$}{\rm $c_{ut}^{1}$} 
-{$+0.317$}{\rm $c_{dt}^{1}$} 
-{$+0.206$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.190$}{\rm $c_{qu}^{1}$} 
-{$-0.129$}{\rm $c_{qd}^{8}$} 
-{$+0.123$}{\rm $c_{qd}^{1}$} 
-{$+0.123$}{\rm $c_{tt}^{1}$} 
-{$+0.114$}{\rm $c_{qq}^{8,3}$} 
-{$-0.092$}{\rm $c_{qu}^{8}$} 
-{$-0.082$}{\rm $c_{t \varphi}$} 
-{$+0.060$}{\rm $c_{QQ}^{1}$} 
-{$+0.051$}{\rm $c_{Qt}^{8}$} 
-{$+0.046$}{\rm $c_{tZ}$} 
-{$+0.019$}{\rm $c_{qq}^{1,8}$} 
-{$-0.018$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.017$}{\rm $c_{\varphi \Box}$} 
-{$+0.014$}{\rm $c_{qt}^{8}$} 
-{$-0.010$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.501$}{\rm $c_{\varphi t}$}
+{$-0.462$}{\rm $c_{dt}^{8}$}
+{$-0.387$}{\rm $c_{qt}^{1}$}
+{$+0.350$}{\rm $c_{ut}^{1}$}
+{$+0.317$}{\rm $c_{dt}^{1}$}
+{$+0.206$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.190$}{\rm $c_{qu}^{1}$}
+{$-0.129$}{\rm $c_{qd}^{8}$}
+{$+0.123$}{\rm $c_{qd}^{1}$}
+{$+0.123$}{\rm $c_{tt}^{1}$}
+{$+0.114$}{\rm $c_{qq}^{8,3}$}
+{$-0.092$}{\rm $c_{qu}^{8}$}
+{$-0.082$}{\rm $c_{t \varphi}$}
+{$+0.060$}{\rm $c_{QQ}^{1}$}
+{$+0.051$}{\rm $c_{Qt}^{8}$}
+{$+0.046$}{\rm $c_{tZ}$}
+{$+0.019$}{\rm $c_{qq}^{1,8}$}
+{$-0.018$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.017$}{\rm $c_{\varphi \Box}$}
+{$+0.014$}{\rm $c_{qt}^{8}$}
+{$-0.010$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC29} (1.09e-02):}}
-{$+0.601$}{\rm $c_{dt}^{1}$} 
-{$-0.408$}{\rm $c_{qd}^{8}$} 
-{$-0.355$}{\rm $c_{ut}^{1}$} 
-{$+0.317$}{\rm $c_{qu}^{8}$} 
-{$-0.245$}{\rm $c_{\varphi t}$} 
-{$-0.229$}{\rm $c_{qd}^{1}$} 
-{$-0.171$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.149$}{\rm $c_{dt}^{8}$} 
-{$-0.147$}{\rm $c_{qq}^{8,3}$} 
-{$+0.133$}{\rm $c_{qq}^{1,1}$} 
-{$-0.131$}{\rm $c_{qt}^{8}$} 
-{$+0.115$}{\rm $c_{qu}^{1}$} 
-{$+0.072$}{\rm $c_{qq}^{1,8}$} 
-{$-0.058$}{\rm $c_{qt}^{1}$} 
-{$-0.036$}{\rm $c_{t \varphi}$} 
-{$-0.024$}{\rm $c_{tt}^{1}$} 
-{$+0.024$}{\rm $c_{tZ}$} 
-{$+0.017$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.016$}{\rm $c_{QQ}^{8}$} 
-{$-0.012$}{\rm $c_{QQ}^{1}$} 
-{$+0.011$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.601$}{\rm $c_{dt}^{1}$}
+{$-0.408$}{\rm $c_{qd}^{8}$}
+{$-0.355$}{\rm $c_{ut}^{1}$}
+{$+0.317$}{\rm $c_{qu}^{8}$}
+{$-0.245$}{\rm $c_{\varphi t}$}
+{$-0.229$}{\rm $c_{qd}^{1}$}
+{$-0.171$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.149$}{\rm $c_{dt}^{8}$}
+{$-0.147$}{\rm $c_{qq}^{8,3}$}
+{$+0.133$}{\rm $c_{qq}^{1,1}$}
+{$-0.131$}{\rm $c_{qt}^{8}$}
+{$+0.115$}{\rm $c_{qu}^{1}$}
+{$+0.072$}{\rm $c_{qq}^{1,8}$}
+{$-0.058$}{\rm $c_{qt}^{1}$}
+{$-0.036$}{\rm $c_{t \varphi}$}
+{$-0.024$}{\rm $c_{tt}^{1}$}
+{$+0.024$}{\rm $c_{tZ}$}
+{$+0.017$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.016$}{\rm $c_{QQ}^{8}$}
+{$-0.012$}{\rm $c_{QQ}^{1}$}
+{$+0.011$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC30} (6.11e-03):}}
-{$-0.569$}{\rm $c_{dt}^{1}$} 
-{$-0.441$}{\rm $c_{qd}^{1}$} 
-{$-0.365$}{\rm $c_{qd}^{8}$} 
-{$-0.343$}{\rm $c_{dt}^{8}$} 
-{$+0.330$}{\rm $c_{ut}^{1}$} 
-{$+0.268$}{\rm $c_{qu}^{8}$} 
-{$+0.100$}{\rm $c_{qq}^{1,1}$} 
-{$-0.099$}{\rm $c_{qt}^{8}$} 
-{$+0.083$}{\rm $c_{qq}^{1,8}$} 
-{$-0.078$}{\rm $c_{\varphi t}$} 
-{$-0.078$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.054$}{\rm $c_{tZ}$} 
-{$-0.052$}{\rm $c_{tt}^{1}$} 
-{$-0.051$}{\rm $c_{t \varphi}$} 
-{$+0.040$}{\rm $c_{QQ}^{8}$} 
-{$-0.030$}{\rm $c_{qq}^{8,3}$} 
-{$-0.025$}{\rm $c_{QQ}^{1}$} 
-{$+0.021$}{\rm $c_{ut}^{8}$} 
-{$+0.020$}{\rm $c_{Qt}^{8}$} 
-{$+0.012$}{\rm $c_{qu}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.569$}{\rm $c_{dt}^{1}$}
+{$-0.441$}{\rm $c_{qd}^{1}$}
+{$-0.365$}{\rm $c_{qd}^{8}$}
+{$-0.343$}{\rm $c_{dt}^{8}$}
+{$+0.330$}{\rm $c_{ut}^{1}$}
+{$+0.268$}{\rm $c_{qu}^{8}$}
+{$+0.100$}{\rm $c_{qq}^{1,1}$}
+{$-0.099$}{\rm $c_{qt}^{8}$}
+{$+0.083$}{\rm $c_{qq}^{1,8}$}
+{$-0.078$}{\rm $c_{\varphi t}$}
+{$-0.078$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.054$}{\rm $c_{tZ}$}
+{$-0.052$}{\rm $c_{tt}^{1}$}
+{$-0.051$}{\rm $c_{t \varphi}$}
+{$+0.040$}{\rm $c_{QQ}^{8}$}
+{$-0.030$}{\rm $c_{qq}^{8,3}$}
+{$-0.025$}{\rm $c_{QQ}^{1}$}
+{$+0.021$}{\rm $c_{ut}^{8}$}
+{$+0.020$}{\rm $c_{Qt}^{8}$}
+{$+0.012$}{\rm $c_{qu}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC31} (5.73e-03):}}
-{$-0.538$}{\rm $c_{qd}^{1}$} 
-{$+0.510$}{\rm $c_{qd}^{8}$} 
-{$-0.382$}{\rm $c_{dt}^{8}$} 
-{$-0.347$}{\rm $c_{qu}^{8}$} 
-{$+0.268$}{\rm $c_{ut}^{8}$} 
-{$-0.202$}{\rm $c_{ut}^{1}$} 
-{$+0.188$}{\rm $c_{qu}^{1}$} 
-{$+0.098$}{\rm $c_{qq}^{1,1}$} 
-{$+0.087$}{\rm $c_{qt}^{1}$} 
-{$-0.084$}{\rm $c_{qq}^{1,8}$} 
-{$+0.077$}{\rm $c_{qt}^{8}$} 
-{$+0.059$}{\rm $c_{dt}^{1}$} 
-{$-0.029$}{\rm $c_{\varphi t}$} 
-{$+0.026$}{\rm $c_{QQ}^{8}$} 
-{$-0.022$}{\rm $c_{qq}^{8,3}$} 
-{$-0.021$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.020$}{\rm $c_{Qt}^{8}$} 
-{$-0.019$}{\rm $c_{tt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.538$}{\rm $c_{qd}^{1}$}
+{$+0.510$}{\rm $c_{qd}^{8}$}
+{$-0.382$}{\rm $c_{dt}^{8}$}
+{$-0.347$}{\rm $c_{qu}^{8}$}
+{$+0.268$}{\rm $c_{ut}^{8}$}
+{$-0.202$}{\rm $c_{ut}^{1}$}
+{$+0.188$}{\rm $c_{qu}^{1}$}
+{$+0.098$}{\rm $c_{qq}^{1,1}$}
+{$+0.087$}{\rm $c_{qt}^{1}$}
+{$-0.084$}{\rm $c_{qq}^{1,8}$}
+{$+0.077$}{\rm $c_{qt}^{8}$}
+{$+0.059$}{\rm $c_{dt}^{1}$}
+{$-0.029$}{\rm $c_{\varphi t}$}
+{$+0.026$}{\rm $c_{QQ}^{8}$}
+{$-0.022$}{\rm $c_{qq}^{8,3}$}
+{$-0.021$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.020$}{\rm $c_{Qt}^{8}$}
+{$-0.019$}{\rm $c_{tt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC32} (9.18e-04):}}
-{$-0.701$}{\rm $c_{QQ}^{8}$} 
-{$-0.582$}{\rm $c_{Qt}^{8}$} 
-{$+0.354$}{\rm $c_{tt}^{1}$} 
-{$+0.164$}{\rm $c_{QQ}^{1}$} 
-{$-0.110$}{\rm $c_{Qt}^{1}$} 
-{$-0.056$}{\rm $c_{qd}^{1}$} 
-{$-0.033$}{\rm $c_{dt}^{8}$} 
-{$-0.026$}{\rm $c_{\varphi t}$} 
-{$-0.025$}{\rm $c_{dt}^{1}$} 
-{$+0.015$}{\rm $c_{qu}^{8}$} 
-{$-0.014$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.013$}{\rm $c_{ut}^{8}$} 
-{$+0.013$}{\rm $c_{qt}^{1}$} 
-{$+0.012$}{\rm $c_{qq}^{1,1}$} 
-{$-0.011$}{\rm $c_{tZ}$} 
-{$-0.011$}{\rm $c_{qd}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.701$}{\rm $c_{QQ}^{8}$}
+{$-0.582$}{\rm $c_{Qt}^{8}$}
+{$+0.354$}{\rm $c_{tt}^{1}$}
+{$+0.164$}{\rm $c_{QQ}^{1}$}
+{$-0.110$}{\rm $c_{Qt}^{1}$}
+{$-0.056$}{\rm $c_{qd}^{1}$}
+{$-0.033$}{\rm $c_{dt}^{8}$}
+{$-0.026$}{\rm $c_{\varphi t}$}
+{$-0.025$}{\rm $c_{dt}^{1}$}
+{$+0.015$}{\rm $c_{qu}^{8}$}
+{$-0.014$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.013$}{\rm $c_{ut}^{8}$}
+{$+0.013$}{\rm $c_{qt}^{1}$}
+{$+0.012$}{\rm $c_{qq}^{1,1}$}
+{$-0.011$}{\rm $c_{tZ}$}
+{$-0.011$}{\rm $c_{qd}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC33} (3.46e-11):}}
-{$-0.744$}{\rm $c_{Qt}^{1}$} 
-{$+0.547$}{\rm $c_{QQ}^{1}$} 
-{$+0.264$}{\rm $c_{QQ}^{8}$} 
-{$-0.228$}{\rm $c_{tt}^{1}$} 
-{$-0.161$}{\rm $c_{Qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.744$}{\rm $c_{Qt}^{1}$}
+{$+0.547$}{\rm $c_{QQ}^{1}$}
+{$+0.264$}{\rm $c_{QQ}^{8}$}
+{$-0.228$}{\rm $c_{tt}^{1}$}
+{$-0.161$}{\rm $c_{Qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC34} (3.46e-11):}}
-{$-0.720$}{\rm $c_{QQ}^{1}$} 
-{$-0.568$}{\rm $c_{Qt}^{1}$} 
-{$+0.360$}{\rm $c_{tt}^{1}$} 
-{$+0.158$}{\rm $c_{QQ}^{8}$} 
-{$-0.066$}{\rm $c_{Qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.720$}{\rm $c_{QQ}^{1}$}
+{$-0.568$}{\rm $c_{Qt}^{1}$}
+{$+0.360$}{\rm $c_{tt}^{1}$}
+{$+0.158$}{\rm $c_{QQ}^{8}$}
+{$-0.066$}{\rm $c_{Qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC35} (3.46e-11):}}
-{$-0.657$}{\rm $c_{Qt}^{8}$} 
-{$+0.629$}{\rm $c_{QQ}^{8}$} 
-{$+0.333$}{\rm $c_{Qt}^{1}$} 
-{$+0.242$}{\rm $c_{tt}^{1}$} 
-{$+0.057$}{\rm $c_{QQ}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.657$}{\rm $c_{Qt}^{8}$}
+{$+0.629$}{\rm $c_{QQ}^{8}$}
+{$+0.333$}{\rm $c_{Qt}^{1}$}
+{$+0.242$}{\rm $c_{tt}^{1}$}
+{$+0.057$}{\rm $c_{QQ}^{1}$}
+ \nonumber \\ \nonumber \\
 \end{document}
diff --git a/docs/source/_static/LO_NLO_quadratic/index.html b/docs/source/_static/LO_NLO_quadratic/index.html
index fb30f436..696645cb 100644
--- a/docs/source/_static/LO_NLO_quadratic/index.html
+++ b/docs/source/_static/LO_NLO_quadratic/index.html
@@ -30,26 +30,26 @@
       <div class="one-half column">
         <nav class="menu docs-menu">
           <ul>
-            <li><a href=#Summary>Summary</a></li> 
-<li><a href=#Chi2>Chi2</a></li> 
-<li><a href=#Coefficients>Coefficients</a></li> 
-<li><a href=#Correlations>Correlations</a></li> 
-<li><a href=#PCA>PCA</a></li> 
-<li><a href=#Fisher>Fisher</a></li> 
+            <li><a href=#Summary>Summary</a></li>
+<li><a href=#Chi2>Chi2</a></li>
+<li><a href=#Coefficients>Coefficients</a></li>
+<li><a href=#Correlations>Correlations</a></li>
+<li><a href=#PCA>PCA</a></li>
+<li><a href=#Fisher>Fisher</a></li>
 
           </ul>
         </nav>
       </div>
     </div>
 
-    
-        <div class='container'> 
 
-        <h2 id='Summary'> Summary</h2> 
+        <div class='container'>
 
-        <div class="three-fourth column markdown-body"> 
+        <h2 id='Summary'> Summary</h2>
 
-    <div class='table'> 
+        <div class="three-fourth column markdown-body">
+
+    <div class='table'>
 <table class="dataframe">
   <thead>
     <tr style="text-align: center;">
@@ -75,268 +75,268 @@ <h2 id='Summary'> Summary</h2>
       <td>11904</td>
     </tr>
   </tbody>
-</table></div> 
-</br> 
-<li><a href=meta/dataset_summary.html>Dataset summary</a></li> 
-</br> 
-<li><a href=meta/coefficient_summary.html>Coefficient summary</a></li> 
+</table></div>
+</br>
+<li><a href=meta/dataset_summary.html>Dataset summary</a></li>
+</br>
+<li><a href=meta/coefficient_summary.html>Coefficient summary</a></li>
+
+        <div class='container'>
+
+        <h2 id='Chi2'> Chi2</h2>
+
+        <div class="three-fourth column markdown-body">
+
+    </br>
+<li><a href=meta/chi2_tables.html>Tables</a></li>
+
+        <div class="figiterwrapper">
+
+        <figure>
+
+        <img src="meta/chi2_bar.png"/>
+
+        <figcaption aria-hidden="true">
+
+        <a href="meta/chi2_bar.png">.png</a>
+
+        <a href="meta/chi2_bar.pdf">.pdf</a>
+
+        </figcaption>
+
+        </figure>
 
-        <div class='container'> 
+        </div>
 
-        <h2 id='Chi2'> Chi2</h2> 
 
-        <div class="three-fourth column markdown-body"> 
+        <div class="figiterwrapper">
 
-    </br> 
-<li><a href=meta/chi2_tables.html>Tables</a></li> 
+        <figure>
 
-        <div class="figiterwrapper"> 
+        <img src="meta/chi2_histo.png"/>
 
-        <figure> 
+        <figcaption aria-hidden="true">
 
-        <img src="meta/chi2_bar.png"/> 
+        <a href="meta/chi2_histo.png">.png</a>
 
-        <figcaption aria-hidden="true"> 
+        <a href="meta/chi2_histo.pdf">.pdf</a>
 
-        <a href="meta/chi2_bar.png">.png</a> 
+        </figcaption>
 
-        <a href="meta/chi2_bar.pdf">.pdf</a> 
+        </figure>
 
-        </figcaption> 
+        </div>
 
-        </figure> 
 
-        </div> 
+        <div class='container'>
 
-    
-        <div class="figiterwrapper"> 
+        <h2 id='Coefficients'> Coefficients</h2>
 
-        <figure> 
+        <div class="three-fourth column markdown-body">
 
-        <img src="meta/chi2_histo.png"/> 
+    </br>
+<li><a href=meta/coefficients_table.html>CL table</a></li>
 
-        <figcaption aria-hidden="true"> 
+        <div class="figiterwrapper">
 
-        <a href="meta/chi2_histo.png">.png</a> 
+        <figure>
 
-        <a href="meta/chi2_histo.pdf">.pdf</a> 
+        <img src="meta/coefficient_central.png"/>
 
-        </figcaption> 
+        <figcaption aria-hidden="true">
 
-        </figure> 
+        <a href="meta/coefficient_central.png">.png</a>
 
-        </div> 
+        <a href="meta/coefficient_central.pdf">.pdf</a>
 
-    
-        <div class='container'> 
+        </figcaption>
 
-        <h2 id='Coefficients'> Coefficients</h2> 
+        </figure>
 
-        <div class="three-fourth column markdown-body"> 
+        </div>
 
-    </br> 
-<li><a href=meta/coefficients_table.html>CL table</a></li> 
 
-        <div class="figiterwrapper"> 
+        <div class="figiterwrapper">
 
-        <figure> 
+        <figure>
 
-        <img src="meta/coefficient_central.png"/> 
+        <img src="meta/coefficient_bar.png"/>
 
-        <figcaption aria-hidden="true"> 
+        <figcaption aria-hidden="true">
 
-        <a href="meta/coefficient_central.png">.png</a> 
+        <a href="meta/coefficient_bar.png">.png</a>
 
-        <a href="meta/coefficient_central.pdf">.pdf</a> 
+        <a href="meta/coefficient_bar.pdf">.pdf</a>
 
-        </figcaption> 
+        </figcaption>
 
-        </figure> 
+        </figure>
 
-        </div> 
+        </div>
 
-    
-        <div class="figiterwrapper"> 
 
-        <figure> 
+        <div class="figiterwrapper">
 
-        <img src="meta/coefficient_bar.png"/> 
+        <figure>
 
-        <figcaption aria-hidden="true"> 
+        <img src="meta/coefficient_histo.png"/>
 
-        <a href="meta/coefficient_bar.png">.png</a> 
+        <figcaption aria-hidden="true">
 
-        <a href="meta/coefficient_bar.pdf">.pdf</a> 
+        <a href="meta/coefficient_histo.png">.png</a>
 
-        </figcaption> 
+        <a href="meta/coefficient_histo.pdf">.pdf</a>
 
-        </figure> 
+        </figcaption>
 
-        </div> 
+        </figure>
 
-    
-        <div class="figiterwrapper"> 
+        </div>
 
-        <figure> 
 
-        <img src="meta/coefficient_histo.png"/> 
+        <div class='container'>
 
-        <figcaption aria-hidden="true"> 
+        <h2 id='Correlations'> Correlations</h2>
 
-        <a href="meta/coefficient_histo.png">.png</a> 
+        <div class="three-fourth column markdown-body">
 
-        <a href="meta/coefficient_histo.pdf">.pdf</a> 
 
-        </figcaption> 
+        <div class="figiterwrapper">
 
-        </figure> 
+        <figure>
 
-        </div> 
+        <img src="meta/correlations_NS_GLOBAL_NLO_HO.png"/>
 
-    
-        <div class='container'> 
+        <figcaption aria-hidden="true">
 
-        <h2 id='Correlations'> Correlations</h2> 
+        <a href="meta/correlations_NS_GLOBAL_NLO_HO.png">.png</a>
 
-        <div class="three-fourth column markdown-body"> 
+        <a href="meta/correlations_NS_GLOBAL_NLO_HO.pdf">.pdf</a>
 
-    
-        <div class="figiterwrapper"> 
+        </figcaption>
 
-        <figure> 
+        </figure>
 
-        <img src="meta/correlations_NS_GLOBAL_NLO_HO.png"/> 
+        </div>
 
-        <figcaption aria-hidden="true"> 
 
-        <a href="meta/correlations_NS_GLOBAL_NLO_HO.png">.png</a> 
+        <div class="figiterwrapper">
 
-        <a href="meta/correlations_NS_GLOBAL_NLO_HO.pdf">.pdf</a> 
+        <figure>
 
-        </figcaption> 
+        <img src="meta/correlations_NS_GLOBAL_LO_HO.png"/>
 
-        </figure> 
+        <figcaption aria-hidden="true">
 
-        </div> 
+        <a href="meta/correlations_NS_GLOBAL_LO_HO.png">.png</a>
 
-    
-        <div class="figiterwrapper"> 
+        <a href="meta/correlations_NS_GLOBAL_LO_HO.pdf">.pdf</a>
 
-        <figure> 
+        </figcaption>
 
-        <img src="meta/correlations_NS_GLOBAL_LO_HO.png"/> 
+        </figure>
 
-        <figcaption aria-hidden="true"> 
+        </div>
 
-        <a href="meta/correlations_NS_GLOBAL_LO_HO.png">.png</a> 
 
-        <a href="meta/correlations_NS_GLOBAL_LO_HO.pdf">.pdf</a> 
+        <div class='container'>
 
-        </figcaption> 
+        <h2 id='PCA'> PCA</h2>
 
-        </figure> 
+        <div class="three-fourth column markdown-body">
 
-        </div> 
+    </br>
+<li><a href=meta/pca_table_NS_GLOBAL_NLO_HO.html>Table  NS  NLO quadratic</a></li>
+</br>
+<li><a href=meta/pca_table_NS_GLOBAL_LO_HO.html>Table  NS  LO quadratic</a></li>
 
-    
-        <div class='container'> 
+        <div class="figiterwrapper">
 
-        <h2 id='PCA'> PCA</h2> 
+        <figure>
 
-        <div class="three-fourth column markdown-body"> 
+        <img src="meta/pca_heatmap_NS_GLOBAL_NLO_HO.png"/>
 
-    </br> 
-<li><a href=meta/pca_table_NS_GLOBAL_NLO_HO.html>Table  NS  NLO quadratic</a></li> 
-</br> 
-<li><a href=meta/pca_table_NS_GLOBAL_LO_HO.html>Table  NS  LO quadratic</a></li> 
+        <figcaption aria-hidden="true">
 
-        <div class="figiterwrapper"> 
+        <a href="meta/pca_heatmap_NS_GLOBAL_NLO_HO.png">.png</a>
 
-        <figure> 
+        <a href="meta/pca_heatmap_NS_GLOBAL_NLO_HO.pdf">.pdf</a>
 
-        <img src="meta/pca_heatmap_NS_GLOBAL_NLO_HO.png"/> 
+        </figcaption>
 
-        <figcaption aria-hidden="true"> 
+        </figure>
 
-        <a href="meta/pca_heatmap_NS_GLOBAL_NLO_HO.png">.png</a> 
+        </div>
 
-        <a href="meta/pca_heatmap_NS_GLOBAL_NLO_HO.pdf">.pdf</a> 
 
-        </figcaption> 
+        <div class="figiterwrapper">
 
-        </figure> 
+        <figure>
 
-        </div> 
+        <img src="meta/pca_heatmap_NS_GLOBAL_LO_HO.png"/>
 
-    
-        <div class="figiterwrapper"> 
+        <figcaption aria-hidden="true">
 
-        <figure> 
+        <a href="meta/pca_heatmap_NS_GLOBAL_LO_HO.png">.png</a>
 
-        <img src="meta/pca_heatmap_NS_GLOBAL_LO_HO.png"/> 
+        <a href="meta/pca_heatmap_NS_GLOBAL_LO_HO.pdf">.pdf</a>
 
-        <figcaption aria-hidden="true"> 
+        </figcaption>
 
-        <a href="meta/pca_heatmap_NS_GLOBAL_LO_HO.png">.png</a> 
+        </figure>
 
-        <a href="meta/pca_heatmap_NS_GLOBAL_LO_HO.pdf">.pdf</a> 
+        </div>
 
-        </figcaption> 
 
-        </figure> 
+        <div class='container'>
 
-        </div> 
+        <h2 id='Fisher'> Fisher</h2>
 
-    
-        <div class='container'> 
+        <div class="three-fourth column markdown-body">
 
-        <h2 id='Fisher'> Fisher</h2> 
+    </br>
+<li><a href=meta/fisher_NS_GLOBAL_NLO_HO.html>Table  NS  NLO quadratic</a></li>
+</br>
+<li><a href=meta/fisher_NS_GLOBAL_LO_HO.html>Table  NS  LO quadratic</a></li>
 
-        <div class="three-fourth column markdown-body"> 
+        <div class="figiterwrapper">
 
-    </br> 
-<li><a href=meta/fisher_NS_GLOBAL_NLO_HO.html>Table  NS  NLO quadratic</a></li> 
-</br> 
-<li><a href=meta/fisher_NS_GLOBAL_LO_HO.html>Table  NS  LO quadratic</a></li> 
+        <figure>
 
-        <div class="figiterwrapper"> 
+        <img src="meta/fisher_heatmap_NS_GLOBAL_NLO_HO.png"/>
 
-        <figure> 
+        <figcaption aria-hidden="true">
 
-        <img src="meta/fisher_heatmap_NS_GLOBAL_NLO_HO.png"/> 
+        <a href="meta/fisher_heatmap_NS_GLOBAL_NLO_HO.png">.png</a>
 
-        <figcaption aria-hidden="true"> 
+        <a href="meta/fisher_heatmap_NS_GLOBAL_NLO_HO.pdf">.pdf</a>
 
-        <a href="meta/fisher_heatmap_NS_GLOBAL_NLO_HO.png">.png</a> 
+        </figcaption>
 
-        <a href="meta/fisher_heatmap_NS_GLOBAL_NLO_HO.pdf">.pdf</a> 
+        </figure>
 
-        </figcaption> 
+        </div>
 
-        </figure> 
 
-        </div> 
+        <div class="figiterwrapper">
 
-    
-        <div class="figiterwrapper"> 
+        <figure>
 
-        <figure> 
+        <img src="meta/fisher_heatmap_NS_GLOBAL_LO_HO.png"/>
 
-        <img src="meta/fisher_heatmap_NS_GLOBAL_LO_HO.png"/> 
+        <figcaption aria-hidden="true">
 
-        <figcaption aria-hidden="true"> 
+        <a href="meta/fisher_heatmap_NS_GLOBAL_LO_HO.png">.png</a>
 
-        <a href="meta/fisher_heatmap_NS_GLOBAL_LO_HO.png">.png</a> 
+        <a href="meta/fisher_heatmap_NS_GLOBAL_LO_HO.pdf">.pdf</a>
 
-        <a href="meta/fisher_heatmap_NS_GLOBAL_LO_HO.pdf">.pdf</a> 
+        </figcaption>
 
-        </figcaption> 
+        </figure>
 
-        </figure> 
+        </div>
 
-        </div> 
 
-    
 
 </body>
 </html>
diff --git a/docs/source/_static/LO_NLO_quadratic/meta/coefficient_summary.tex b/docs/source/_static/LO_NLO_quadratic/meta/coefficient_summary.tex
index b6edc1db..733e83cc 100644
--- a/docs/source/_static/LO_NLO_quadratic/meta/coefficient_summary.tex
+++ b/docs/source/_static/LO_NLO_quadratic/meta/coefficient_summary.tex
@@ -62,14 +62,14 @@
  & $c_{dt}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{dt}^{1}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{qd}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
- & $c_{qd}^{1}$ & $\checkmark$ &  & $\checkmark$ & 
+ & $c_{qd}^{1}$ & $\checkmark$ &  & $\checkmark$ &
 \\ \hline
 \multirow{5}{*}{4Q}
  & $c_{QQ}^{1}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{QQ}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{Qt}^{1}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{Qt}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
- & $c_{tt}^{1}$ & $\checkmark$ &  & $\checkmark$ & 
+ & $c_{tt}^{1}$ & $\checkmark$ &  & $\checkmark$ &
 \\ \hline
 \multirow{7}{*}{B}
  & $c_{\varphi G}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
@@ -78,7 +78,7 @@
  & $c_{\varphi WB}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{\varphi \Box}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{\varphi D}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
- & $c_{WWW}$ & $\checkmark$ &  & $\checkmark$ & 
+ & $c_{WWW}$ & $\checkmark$ &  & $\checkmark$ &
 \\ \hline
 \hline & Number fitted coefficients & 36 &  & 36 &  \\ \hline
 \end{tabular}
diff --git a/docs/source/_static/LO_NLO_quadratic/meta/pca_table_NS_GLOBAL_LO_HO.tex b/docs/source/_static/LO_NLO_quadratic/meta/pca_table_NS_GLOBAL_LO_HO.tex
index 0f0f3e1c..d06250bf 100644
--- a/docs/source/_static/LO_NLO_quadratic/meta/pca_table_NS_GLOBAL_LO_HO.tex
+++ b/docs/source/_static/LO_NLO_quadratic/meta/pca_table_NS_GLOBAL_LO_HO.tex
@@ -20,530 +20,530 @@
 \begin{document}
 \noindent \underline{\bf{Principal Components Analysis}:} \rm NS\ \ LO\ quadratic\\ \\ \\
 \noindent \textcolor{red}{\underline{\bf{PC00} (5.90e+05):}}
-{$+0.699$}{\rm $c_{\varphi G}$} 
-{$-0.597$}{\rm $c_{\varphi B}$} 
-{$+0.334$}{\rm $c_{\varphi WB}$} 
-{$-0.182$}{\rm $c_{\varphi W}$} 
-{$+0.085$}{\rm $c_{b \varphi}$} 
-{$-0.036$}{\rm $c_{tW}$} 
-{$+0.032$}{\rm $c_{tZ}$} 
-{$+0.028$}{\rm $c_{c \varphi}$} 
-{$+0.026$}{\rm $c_{tG}$} 
-{$+0.012$}{\rm $c_{\tau \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.699$}{\rm $c_{\varphi G}$}
+{$-0.597$}{\rm $c_{\varphi B}$}
+{$+0.334$}{\rm $c_{\varphi WB}$}
+{$-0.182$}{\rm $c_{\varphi W}$}
+{$+0.085$}{\rm $c_{b \varphi}$}
+{$-0.036$}{\rm $c_{tW}$}
+{$+0.032$}{\rm $c_{tZ}$}
+{$+0.028$}{\rm $c_{c \varphi}$}
+{$+0.026$}{\rm $c_{tG}$}
+{$+0.012$}{\rm $c_{\tau \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC01} (2.07e+05):}}
-{$+0.709$}{\rm $c_{\varphi G}$} 
-{$+0.594$}{\rm $c_{\varphi B}$} 
-{$-0.327$}{\rm $c_{\varphi WB}$} 
-{$+0.181$}{\rm $c_{\varphi W}$} 
-{$+0.036$}{\rm $c_{tW}$} 
-{$+0.033$}{\rm $c_{b \varphi}$} 
-{$-0.032$}{\rm $c_{tZ}$} 
-{$+0.029$}{\rm $c_{tG}$} 
-{$+0.011$}{\rm $c_{c \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.709$}{\rm $c_{\varphi G}$}
+{$+0.594$}{\rm $c_{\varphi B}$}
+{$-0.327$}{\rm $c_{\varphi WB}$}
+{$+0.181$}{\rm $c_{\varphi W}$}
+{$+0.036$}{\rm $c_{tW}$}
+{$+0.033$}{\rm $c_{b \varphi}$}
+{$-0.032$}{\rm $c_{tZ}$}
+{$+0.029$}{\rm $c_{tG}$}
+{$+0.011$}{\rm $c_{c \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC02} (4.25e+03):}}
-{$+0.879$}{\rm $c_{\tau \varphi}$} 
-{$-0.360$}{\rm $c_{b \varphi}$} 
-{$-0.233$}{\rm $c_{\varphi WB}$} 
-{$-0.136$}{\rm $c_{\varphi D}$} 
-{$-0.127$}{\rm $c_{\varphi B}$} 
-{$-0.087$}{\rm $c_{c \varphi}$} 
-{$+0.030$}{\rm $c_{\varphi G}$} 
-{$-0.017$}{\rm $c_{\varphi W}$} 
-{$+0.013$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.879$}{\rm $c_{\tau \varphi}$}
+{$-0.360$}{\rm $c_{b \varphi}$}
+{$-0.233$}{\rm $c_{\varphi WB}$}
+{$-0.136$}{\rm $c_{\varphi D}$}
+{$-0.127$}{\rm $c_{\varphi B}$}
+{$-0.087$}{\rm $c_{c \varphi}$}
+{$+0.030$}{\rm $c_{\varphi G}$}
+{$-0.017$}{\rm $c_{\varphi W}$}
+{$+0.013$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC03} (2.78e+03):}}
-{$-0.747$}{\rm $c_{\varphi WB}$} 
-{$-0.433$}{\rm $c_{\varphi D}$} 
-{$-0.397$}{\rm $c_{\varphi B}$} 
-{$-0.290$}{\rm $c_{\tau \varphi}$} 
-{$+0.071$}{\rm $c_{c \varphi}$} 
-{$+0.065$}{\rm $c_{b \varphi}$} 
-{$-0.050$}{\rm $c_{\varphi W}$} 
-{$-0.023$}{\rm $c_{tW}$} 
-{$+0.021$}{\rm $c_{tZ}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.747$}{\rm $c_{\varphi WB}$}
+{$-0.433$}{\rm $c_{\varphi D}$}
+{$-0.397$}{\rm $c_{\varphi B}$}
+{$-0.290$}{\rm $c_{\tau \varphi}$}
+{$+0.071$}{\rm $c_{c \varphi}$}
+{$+0.065$}{\rm $c_{b \varphi}$}
+{$-0.050$}{\rm $c_{\varphi W}$}
+{$-0.023$}{\rm $c_{tW}$}
+{$+0.021$}{\rm $c_{tZ}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC04} (1.88e+03):}}
-{$-0.871$}{\rm $c_{b \varphi}$} 
-{$-0.378$}{\rm $c_{\tau \varphi}$} 
-{$-0.290$}{\rm $c_{c \varphi}$} 
-{$+0.079$}{\rm $c_{\varphi G}$} 
-{$+0.072$}{\rm $c_{tG}$} 
-{$+0.051$}{\rm $c_{\varphi WB}$} 
-{$-0.016$}{\rm $c_{\varphi B}$} 
-{$-0.013$}{\rm $c_{\varphi W}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.871$}{\rm $c_{b \varphi}$}
+{$-0.378$}{\rm $c_{\tau \varphi}$}
+{$-0.290$}{\rm $c_{c \varphi}$}
+{$+0.079$}{\rm $c_{\varphi G}$}
+{$+0.072$}{\rm $c_{tG}$}
+{$+0.051$}{\rm $c_{\varphi WB}$}
+{$-0.016$}{\rm $c_{\varphi B}$}
+{$-0.013$}{\rm $c_{\varphi W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC05} (2.86e+02):}}
-{$-0.989$}{\rm $c_{tG}$} 
-{$-0.067$}{\rm $c_{qq}^{1,8}$} 
-{$-0.064$}{\rm $c_{qt}^{8}$} 
-{$-0.058$}{\rm $c_{b \varphi}$} 
-{$+0.045$}{\rm $c_{\varphi G}$} 
-{$-0.042$}{\rm $c_{c \varphi}$} 
-{$-0.035$}{\rm $c_{qu}^{8}$} 
-{$-0.034$}{\rm $c_{ut}^{8}$} 
-{$-0.023$}{\rm $c_{qd}^{8}$} 
-{$-0.022$}{\rm $c_{dt}^{8}$} 
-{$-0.021$}{\rm $c_{qq}^{1,3}$} 
-{$+0.020$}{\rm $c_{tW}$} 
-{$-0.017$}{\rm $c_{\varphi \Box}$} 
-{$+0.016$}{\rm $c_{t \varphi}$} 
-{$-0.015$}{\rm $c_{\tau \varphi}$} 
-{$+0.013$}{\rm $c_{\varphi Q}^{(-)}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.989$}{\rm $c_{tG}$}
+{$-0.067$}{\rm $c_{qq}^{1,8}$}
+{$-0.064$}{\rm $c_{qt}^{8}$}
+{$-0.058$}{\rm $c_{b \varphi}$}
+{$+0.045$}{\rm $c_{\varphi G}$}
+{$-0.042$}{\rm $c_{c \varphi}$}
+{$-0.035$}{\rm $c_{qu}^{8}$}
+{$-0.034$}{\rm $c_{ut}^{8}$}
+{$-0.023$}{\rm $c_{qd}^{8}$}
+{$-0.022$}{\rm $c_{dt}^{8}$}
+{$-0.021$}{\rm $c_{qq}^{1,3}$}
+{$+0.020$}{\rm $c_{tW}$}
+{$-0.017$}{\rm $c_{\varphi \Box}$}
+{$+0.016$}{\rm $c_{t \varphi}$}
+{$-0.015$}{\rm $c_{\tau \varphi}$}
+{$+0.013$}{\rm $c_{\varphi Q}^{(-)}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC06} (2.18e+02):}}
-{$-0.950$}{\rm $c_{qq}^{1,3}$} 
-{$+0.300$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.082$}{\rm $c_{tW}$} 
-{$+0.023$}{\rm $c_{tG}$} 
-{$+0.014$}{\rm $c_{c \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.950$}{\rm $c_{qq}^{1,3}$}
+{$+0.300$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.082$}{\rm $c_{tW}$}
+{$+0.023$}{\rm $c_{tG}$}
+{$+0.014$}{\rm $c_{c \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC07} (1.02e+02):}}
-{$-0.868$}{\rm $c_{c \varphi}$} 
-{$-0.372$}{\rm $c_{\varphi W}$} 
-{$+0.286$}{\rm $c_{b \varphi}$} 
-{$+0.100$}{\rm $c_{tW}$} 
-{$+0.072$}{\rm $c_{\varphi B}$} 
-{$-0.070$}{\rm $c_{\varphi \Box}$} 
-{$-0.065$}{\rm $c_{\varphi WB}$} 
-{$-0.026$}{\rm $c_{\varphi D}$} 
-{$+0.021$}{\rm $c_{tG}$} 
-{$+0.013$}{\rm $c_{\tau \varphi}$} 
-{$+0.013$}{\rm $c_{t \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.868$}{\rm $c_{c \varphi}$}
+{$-0.372$}{\rm $c_{\varphi W}$}
+{$+0.286$}{\rm $c_{b \varphi}$}
+{$+0.100$}{\rm $c_{tW}$}
+{$+0.072$}{\rm $c_{\varphi B}$}
+{$-0.070$}{\rm $c_{\varphi \Box}$}
+{$-0.065$}{\rm $c_{\varphi WB}$}
+{$-0.026$}{\rm $c_{\varphi D}$}
+{$+0.021$}{\rm $c_{tG}$}
+{$+0.013$}{\rm $c_{\tau \varphi}$}
+{$+0.013$}{\rm $c_{t \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC08} (8.28e+01):}}
-{$-0.989$}{\rm $c_{tW}$} 
-{$-0.088$}{\rm $c_{c \varphi}$} 
-{$-0.084$}{\rm $c_{qq}^{1,3}$} 
-{$+0.060$}{\rm $c_{\varphi B}$} 
-{$+0.026$}{\rm $c_{b \varphi}$} 
-{$-0.024$}{\rm $c_{\varphi W}$} 
-{$-0.019$}{\rm $c_{tG}$} 
-{$+0.017$}{\rm $c_{qq}^{1,8}$} 
-{$+0.012$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.011$}{\rm $c_{\varphi WB}$} 
-{$+0.011$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.989$}{\rm $c_{tW}$}
+{$-0.088$}{\rm $c_{c \varphi}$}
+{$-0.084$}{\rm $c_{qq}^{1,3}$}
+{$+0.060$}{\rm $c_{\varphi B}$}
+{$+0.026$}{\rm $c_{b \varphi}$}
+{$-0.024$}{\rm $c_{\varphi W}$}
+{$-0.019$}{\rm $c_{tG}$}
+{$+0.017$}{\rm $c_{qq}^{1,8}$}
+{$+0.012$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.011$}{\rm $c_{\varphi WB}$}
+{$+0.011$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC09} (5.20e+01):}}
-{$+0.568$}{\rm $c_{qt}^{8}$} 
-{$-0.514$}{\rm $c_{qq}^{1,8}$} 
-{$+0.405$}{\rm $c_{qu}^{8}$} 
-{$-0.372$}{\rm $c_{ut}^{8}$} 
-{$-0.247$}{\rm $c_{qq}^{8,3}$} 
-{$+0.163$}{\rm $c_{qd}^{8}$} 
-{$-0.147$}{\rm $c_{dt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.568$}{\rm $c_{qt}^{8}$}
+{$-0.514$}{\rm $c_{qq}^{1,8}$}
+{$+0.405$}{\rm $c_{qu}^{8}$}
+{$-0.372$}{\rm $c_{ut}^{8}$}
+{$-0.247$}{\rm $c_{qq}^{8,3}$}
+{$+0.163$}{\rm $c_{qd}^{8}$}
+{$-0.147$}{\rm $c_{dt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC10} (2.29e+01):}}
-{$-0.570$}{\rm $c_{\varphi W}$} 
-{$+0.455$}{\rm $c_{qq}^{1,8}$} 
-{$+0.395$}{\rm $c_{qt}^{8}$} 
-{$+0.265$}{\rm $c_{ut}^{8}$} 
-{$+0.244$}{\rm $c_{c \varphi}$} 
-{$+0.233$}{\rm $c_{qu}^{8}$} 
-{$+0.200$}{\rm $c_{\varphi B}$} 
-{$-0.171$}{\rm $c_{\varphi D}$} 
-{$+0.140$}{\rm $c_{dt}^{8}$} 
-{$+0.126$}{\rm $c_{qd}^{8}$} 
-{$-0.090$}{\rm $c_{tG}$} 
-{$-0.080$}{\rm $c_{b \varphi}$} 
-{$-0.060$}{\rm $c_{qq}^{8,3}$} 
-{$+0.049$}{\rm $c_{\varphi WB}$} 
-{$-0.038$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.024$}{\rm $c_{\varphi t}$} 
-{$-0.018$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.018$}{\rm $c_{tW}$} 
-{$-0.012$}{\rm $c_{t \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.570$}{\rm $c_{\varphi W}$}
+{$+0.455$}{\rm $c_{qq}^{1,8}$}
+{$+0.395$}{\rm $c_{qt}^{8}$}
+{$+0.265$}{\rm $c_{ut}^{8}$}
+{$+0.244$}{\rm $c_{c \varphi}$}
+{$+0.233$}{\rm $c_{qu}^{8}$}
+{$+0.200$}{\rm $c_{\varphi B}$}
+{$-0.171$}{\rm $c_{\varphi D}$}
+{$+0.140$}{\rm $c_{dt}^{8}$}
+{$+0.126$}{\rm $c_{qd}^{8}$}
+{$-0.090$}{\rm $c_{tG}$}
+{$-0.080$}{\rm $c_{b \varphi}$}
+{$-0.060$}{\rm $c_{qq}^{8,3}$}
+{$+0.049$}{\rm $c_{\varphi WB}$}
+{$-0.038$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.024$}{\rm $c_{\varphi t}$}
+{$-0.018$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.018$}{\rm $c_{tW}$}
+{$-0.012$}{\rm $c_{t \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC11} (2.14e+01):}}
-{$-0.615$}{\rm $c_{\varphi W}$} 
-{$-0.427$}{\rm $c_{qq}^{1,8}$} 
-{$-0.366$}{\rm $c_{qt}^{8}$} 
-{$+0.252$}{\rm $c_{c \varphi}$} 
-{$-0.246$}{\rm $c_{ut}^{8}$} 
-{$+0.219$}{\rm $c_{\varphi B}$} 
-{$-0.213$}{\rm $c_{qu}^{8}$} 
-{$-0.197$}{\rm $c_{\varphi D}$} 
-{$-0.129$}{\rm $c_{dt}^{8}$} 
-{$-0.115$}{\rm $c_{qd}^{8}$} 
-{$-0.071$}{\rm $c_{b \varphi}$} 
-{$+0.064$}{\rm $c_{qq}^{8,3}$} 
-{$+0.063$}{\rm $c_{tG}$} 
-{$+0.056$}{\rm $c_{\varphi WB}$} 
-{$+0.038$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.026$}{\rm $c_{\varphi t}$} 
-{$-0.021$}{\rm $c_{t \varphi}$} 
-{$+0.016$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.014$}{\rm $c_{tW}$} 
-{$+0.013$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.615$}{\rm $c_{\varphi W}$}
+{$-0.427$}{\rm $c_{qq}^{1,8}$}
+{$-0.366$}{\rm $c_{qt}^{8}$}
+{$+0.252$}{\rm $c_{c \varphi}$}
+{$-0.246$}{\rm $c_{ut}^{8}$}
+{$+0.219$}{\rm $c_{\varphi B}$}
+{$-0.213$}{\rm $c_{qu}^{8}$}
+{$-0.197$}{\rm $c_{\varphi D}$}
+{$-0.129$}{\rm $c_{dt}^{8}$}
+{$-0.115$}{\rm $c_{qd}^{8}$}
+{$-0.071$}{\rm $c_{b \varphi}$}
+{$+0.064$}{\rm $c_{qq}^{8,3}$}
+{$+0.063$}{\rm $c_{tG}$}
+{$+0.056$}{\rm $c_{\varphi WB}$}
+{$+0.038$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.026$}{\rm $c_{\varphi t}$}
+{$-0.021$}{\rm $c_{t \varphi}$}
+{$+0.016$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.014$}{\rm $c_{tW}$}
+{$+0.013$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC12} (4.19e+00):}}
-{$+0.950$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.299$}{\rm $c_{qq}^{1,3}$} 
-{$+0.064$}{\rm $c_{\varphi D}$} 
-{$-0.028$}{\rm $c_{\varphi WB}$} 
-{$-0.024$}{\rm $c_{\varphi W}$} 
-{$+0.024$}{\rm $c_{qq}^{1,8}$} 
-{$-0.018$}{\rm $c_{qq}^{8,3}$} 
-{$-0.016$}{\rm $c_{\varphi \Box}$} 
-{$+0.014$}{\rm $c_{qt}^{8}$} 
-{$+0.014$}{\rm $c_{\varphi t}$} 
-{$-0.013$}{\rm $c_{tW}$} 
-{$-0.011$}{\rm $c_{\varphi Q}^{(-)}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.950$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.299$}{\rm $c_{qq}^{1,3}$}
+{$+0.064$}{\rm $c_{\varphi D}$}
+{$-0.028$}{\rm $c_{\varphi WB}$}
+{$-0.024$}{\rm $c_{\varphi W}$}
+{$+0.024$}{\rm $c_{qq}^{1,8}$}
+{$-0.018$}{\rm $c_{qq}^{8,3}$}
+{$-0.016$}{\rm $c_{\varphi \Box}$}
+{$+0.014$}{\rm $c_{qt}^{8}$}
+{$+0.014$}{\rm $c_{\varphi t}$}
+{$-0.013$}{\rm $c_{tW}$}
+{$-0.011$}{\rm $c_{\varphi Q}^{(-)}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC13} (2.76e+00):}}
-{$+0.836$}{\rm $c_{\varphi D}$} 
-{$-0.390$}{\rm $c_{\varphi WB}$} 
-{$-0.286$}{\rm $c_{\varphi W}$} 
-{$-0.151$}{\rm $c_{\varphi \Box}$} 
-{$-0.130$}{\rm $c_{\varphi B}$} 
-{$+0.112$}{\rm $c_{c \varphi}$} 
-{$-0.070$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.055$}{\rm $c_{WWW}$} 
-{$-0.047$}{\rm $c_{b \varphi}$} 
-{$+0.044$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.028$}{\rm $c_{t \varphi}$} 
-{$+0.027$}{\rm $c_{qq}^{8,3}$} 
-{$-0.022$}{\rm $c_{qq}^{1,3}$} 
-{$-0.016$}{\rm $c_{\varphi t}$} 
-{$-0.016$}{\rm $c_{tZ}$} 
-{$-0.016$}{\rm $c_{qq}^{1,8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.836$}{\rm $c_{\varphi D}$}
+{$-0.390$}{\rm $c_{\varphi WB}$}
+{$-0.286$}{\rm $c_{\varphi W}$}
+{$-0.151$}{\rm $c_{\varphi \Box}$}
+{$-0.130$}{\rm $c_{\varphi B}$}
+{$+0.112$}{\rm $c_{c \varphi}$}
+{$-0.070$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.055$}{\rm $c_{WWW}$}
+{$-0.047$}{\rm $c_{b \varphi}$}
+{$+0.044$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.028$}{\rm $c_{t \varphi}$}
+{$+0.027$}{\rm $c_{qq}^{8,3}$}
+{$-0.022$}{\rm $c_{qq}^{1,3}$}
+{$-0.016$}{\rm $c_{\varphi t}$}
+{$-0.016$}{\rm $c_{tZ}$}
+{$-0.016$}{\rm $c_{qq}^{1,8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC14} (1.83e+00):}}
-{$+0.741$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.483$}{\rm $c_{\varphi t}$} 
-{$+0.287$}{\rm $c_{ut}^{8}$} 
-{$+0.221$}{\rm $c_{qu}^{8}$} 
-{$-0.178$}{\rm $c_{qq}^{1,8}$} 
-{$+0.156$}{\rm $c_{qq}^{8,3}$} 
-{$+0.127$}{\rm $c_{dt}^{8}$} 
-{$+0.068$}{\rm $c_{qd}^{8}$} 
-{$-0.051$}{\rm $c_{t \varphi}$} 
-{$+0.047$}{\rm $c_{\varphi \Box}$} 
-{$-0.047$}{\rm $c_{qt}^{8}$} 
-{$-0.034$}{\rm $c_{\varphi D}$} 
-{$+0.026$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.017$}{\rm $c_{\varphi WB}$} 
-{$+0.016$}{\rm $c_{tZ}$} 
-{$-0.016$}{\rm $c_{WWW}$} 
-{$-0.016$}{\rm $c_{c \varphi}$} 
-{$+0.015$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{qq}^{1,3}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.741$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.483$}{\rm $c_{\varphi t}$}
+{$+0.287$}{\rm $c_{ut}^{8}$}
+{$+0.221$}{\rm $c_{qu}^{8}$}
+{$-0.178$}{\rm $c_{qq}^{1,8}$}
+{$+0.156$}{\rm $c_{qq}^{8,3}$}
+{$+0.127$}{\rm $c_{dt}^{8}$}
+{$+0.068$}{\rm $c_{qd}^{8}$}
+{$-0.051$}{\rm $c_{t \varphi}$}
+{$+0.047$}{\rm $c_{\varphi \Box}$}
+{$-0.047$}{\rm $c_{qt}^{8}$}
+{$-0.034$}{\rm $c_{\varphi D}$}
+{$+0.026$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.017$}{\rm $c_{\varphi WB}$}
+{$+0.016$}{\rm $c_{tZ}$}
+{$-0.016$}{\rm $c_{WWW}$}
+{$-0.016$}{\rm $c_{c \varphi}$}
+{$+0.015$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{qq}^{1,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC15} (6.57e-01):}}
-{$-0.835$}{\rm $c_{\varphi \Box}$} 
-{$+0.402$}{\rm $c_{t \varphi}$} 
-{$+0.258$}{\rm $c_{qq}^{8,3}$} 
-{$+0.131$}{\rm $c_{qu}^{8}$} 
-{$-0.108$}{\rm $c_{\varphi D}$} 
-{$-0.105$}{\rm $c_{qq}^{1,8}$} 
-{$+0.088$}{\rm $c_{qd}^{8}$} 
-{$+0.072$}{\rm $c_{ut}^{8}$} 
-{$-0.064$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.057$}{\rm $c_{dt}^{8}$} 
-{$+0.051$}{\rm $c_{c \varphi}$} 
-{$+0.050$}{\rm $c_{\varphi W}$} 
-{$-0.048$}{\rm $c_{WWW}$} 
-{$+0.048$}{\rm $c_{\varphi WB}$} 
-{$+0.044$}{\rm $c_{\varphi t}$} 
-{$-0.041$}{\rm $c_{qt}^{8}$} 
-{$+0.016$}{\rm $c_{tG}$} 
-{$+0.014$}{\rm $c_{\varphi B}$} 
-{$+0.011$}{\rm $c_{tt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.835$}{\rm $c_{\varphi \Box}$}
+{$+0.402$}{\rm $c_{t \varphi}$}
+{$+0.258$}{\rm $c_{qq}^{8,3}$}
+{$+0.131$}{\rm $c_{qu}^{8}$}
+{$-0.108$}{\rm $c_{\varphi D}$}
+{$-0.105$}{\rm $c_{qq}^{1,8}$}
+{$+0.088$}{\rm $c_{qd}^{8}$}
+{$+0.072$}{\rm $c_{ut}^{8}$}
+{$-0.064$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.057$}{\rm $c_{dt}^{8}$}
+{$+0.051$}{\rm $c_{c \varphi}$}
+{$+0.050$}{\rm $c_{\varphi W}$}
+{$-0.048$}{\rm $c_{WWW}$}
+{$+0.048$}{\rm $c_{\varphi WB}$}
+{$+0.044$}{\rm $c_{\varphi t}$}
+{$-0.041$}{\rm $c_{qt}^{8}$}
+{$+0.016$}{\rm $c_{tG}$}
+{$+0.014$}{\rm $c_{\varphi B}$}
+{$+0.011$}{\rm $c_{tt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC16} (6.30e-01):}}
-{$-0.679$}{\rm $c_{qq}^{8,3}$} 
-{$-0.356$}{\rm $c_{qu}^{8}$} 
-{$+0.318$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.267$}{\rm $c_{\varphi \Box}$} 
-{$+0.236$}{\rm $c_{qq}^{1,8}$} 
-{$+0.223$}{\rm $c_{t \varphi}$} 
-{$-0.202$}{\rm $c_{\varphi t}$} 
-{$-0.195$}{\rm $c_{qd}^{8}$} 
-{$-0.181$}{\rm $c_{ut}^{8}$} 
-{$-0.106$}{\rm $c_{dt}^{8}$} 
-{$+0.084$}{\rm $c_{qt}^{8}$} 
-{$+0.049$}{\rm $c_{WWW}$} 
-{$-0.028$}{\rm $c_{\varphi D}$} 
-{$+0.022$}{\rm $c_{c \varphi}$} 
-{$+0.019$}{\rm $c_{tG}$} 
-{$-0.016$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.012$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.679$}{\rm $c_{qq}^{8,3}$}
+{$-0.356$}{\rm $c_{qu}^{8}$}
+{$+0.318$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.267$}{\rm $c_{\varphi \Box}$}
+{$+0.236$}{\rm $c_{qq}^{1,8}$}
+{$+0.223$}{\rm $c_{t \varphi}$}
+{$-0.202$}{\rm $c_{\varphi t}$}
+{$-0.195$}{\rm $c_{qd}^{8}$}
+{$-0.181$}{\rm $c_{ut}^{8}$}
+{$-0.106$}{\rm $c_{dt}^{8}$}
+{$+0.084$}{\rm $c_{qt}^{8}$}
+{$+0.049$}{\rm $c_{WWW}$}
+{$-0.028$}{\rm $c_{\varphi D}$}
+{$+0.022$}{\rm $c_{c \varphi}$}
+{$+0.019$}{\rm $c_{tG}$}
+{$-0.016$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.012$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC17} (3.77e-01):}}
-{$-0.729$}{\rm $c_{WWW}$} 
-{$+0.377$}{\rm $c_{qq}^{8,3}$} 
-{$-0.297$}{\rm $c_{ut}^{8}$} 
-{$+0.293$}{\rm $c_{qt}^{8}$} 
-{$-0.231$}{\rm $c_{qu}^{8}$} 
-{$+0.181$}{\rm $c_{qq}^{1,8}$} 
-{$-0.153$}{\rm $c_{dt}^{8}$} 
-{$+0.139$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.120$}{\rm $c_{qd}^{8}$} 
-{$-0.073$}{\rm $c_{\varphi t}$} 
-{$-0.045$}{\rm $c_{t \varphi}$} 
-{$+0.025$}{\rm $c_{\varphi D}$} 
-{$-0.012$}{\rm $c_{\varphi WB}$} 
-{$+0.012$}{\rm $c_{tt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.729$}{\rm $c_{WWW}$}
+{$+0.377$}{\rm $c_{qq}^{8,3}$}
+{$-0.297$}{\rm $c_{ut}^{8}$}
+{$+0.293$}{\rm $c_{qt}^{8}$}
+{$-0.231$}{\rm $c_{qu}^{8}$}
+{$+0.181$}{\rm $c_{qq}^{1,8}$}
+{$-0.153$}{\rm $c_{dt}^{8}$}
+{$+0.139$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.120$}{\rm $c_{qd}^{8}$}
+{$-0.073$}{\rm $c_{\varphi t}$}
+{$-0.045$}{\rm $c_{t \varphi}$}
+{$+0.025$}{\rm $c_{\varphi D}$}
+{$-0.012$}{\rm $c_{\varphi WB}$}
+{$+0.012$}{\rm $c_{tt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC18} (3.68e-01):}}
-{$+0.678$}{\rm $c_{WWW}$} 
-{$+0.472$}{\rm $c_{qq}^{8,3}$} 
-{$+0.308$}{\rm $c_{qt}^{8}$} 
-{$-0.291$}{\rm $c_{ut}^{8}$} 
-{$-0.208$}{\rm $c_{qu}^{8}$} 
-{$+0.168$}{\rm $c_{qq}^{1,8}$} 
-{$-0.152$}{\rm $c_{dt}^{8}$} 
-{$+0.124$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.112$}{\rm $c_{qd}^{8}$} 
-{$-0.087$}{\rm $c_{\varphi t}$} 
-{$-0.061$}{\rm $c_{t \varphi}$} 
-{$-0.047$}{\rm $c_{\varphi D}$} 
-{$-0.044$}{\rm $c_{\varphi \Box}$} 
-{$+0.023$}{\rm $c_{\varphi WB}$} 
-{$+0.023$}{\rm $c_{\varphi W}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.678$}{\rm $c_{WWW}$}
+{$+0.472$}{\rm $c_{qq}^{8,3}$}
+{$+0.308$}{\rm $c_{qt}^{8}$}
+{$-0.291$}{\rm $c_{ut}^{8}$}
+{$-0.208$}{\rm $c_{qu}^{8}$}
+{$+0.168$}{\rm $c_{qq}^{1,8}$}
+{$-0.152$}{\rm $c_{dt}^{8}$}
+{$+0.124$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.112$}{\rm $c_{qd}^{8}$}
+{$-0.087$}{\rm $c_{\varphi t}$}
+{$-0.061$}{\rm $c_{t \varphi}$}
+{$-0.047$}{\rm $c_{\varphi D}$}
+{$-0.044$}{\rm $c_{\varphi \Box}$}
+{$+0.023$}{\rm $c_{\varphi WB}$}
+{$+0.023$}{\rm $c_{\varphi W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC19} (1.94e-01):}}
-{$-0.882$}{\rm $c_{t \varphi}$} 
-{$-0.444$}{\rm $c_{\varphi \Box}$} 
-{$-0.116$}{\rm $c_{qq}^{8,3}$} 
-{$-0.073$}{\rm $c_{\varphi D}$} 
-{$+0.049$}{\rm $c_{\varphi W}$} 
-{$-0.037$}{\rm $c_{tZ}$} 
-{$+0.033$}{\rm $c_{\varphi WB}$} 
-{$-0.026$}{\rm $c_{qt}^{8}$} 
-{$-0.020$}{\rm $c_{WWW}$} 
-{$-0.015$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.014$}{\rm $c_{ut}^{8}$} 
-{$-0.012$}{\rm $c_{qu}^{8}$} 
-{$-0.011$}{\rm $c_{qd}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.882$}{\rm $c_{t \varphi}$}
+{$-0.444$}{\rm $c_{\varphi \Box}$}
+{$-0.116$}{\rm $c_{qq}^{8,3}$}
+{$-0.073$}{\rm $c_{\varphi D}$}
+{$+0.049$}{\rm $c_{\varphi W}$}
+{$-0.037$}{\rm $c_{tZ}$}
+{$+0.033$}{\rm $c_{\varphi WB}$}
+{$-0.026$}{\rm $c_{qt}^{8}$}
+{$-0.020$}{\rm $c_{WWW}$}
+{$-0.015$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.014$}{\rm $c_{ut}^{8}$}
+{$-0.012$}{\rm $c_{qu}^{8}$}
+{$-0.011$}{\rm $c_{qd}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC20} (6.12e-02):}}
-{$-0.737$}{\rm $c_{tt}^{1}$} 
-{$-0.423$}{\rm $c_{Qt}^{8}$} 
-{$-0.362$}{\rm $c_{QQ}^{1}$} 
-{$+0.216$}{\rm $c_{qq}^{1,1}$} 
-{$+0.177$}{\rm $c_{qt}^{1}$} 
-{$+0.143$}{\rm $c_{ut}^{1}$} 
-{$-0.129$}{\rm $c_{QQ}^{8}$} 
-{$+0.112$}{\rm $c_{qu}^{1}$} 
-{$+0.072$}{\rm $c_{dt}^{1}$} 
-{$+0.063$}{\rm $c_{qd}^{1}$} 
-{$+0.059$}{\rm $c_{qd}^{8}$} 
-{$+0.048$}{\rm $c_{dt}^{8}$} 
-{$+0.036$}{\rm $c_{\varphi t}$} 
-{$-0.036$}{\rm $c_{ut}^{8}$} 
-{$+0.034$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.025$}{\rm $c_{qu}^{8}$} 
-{$+0.018$}{\rm $c_{tZ}$} 
-{$-0.013$}{\rm $c_{\varphi \Box}$} 
-{$+0.012$}{\rm $c_{qq}^{8,3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.737$}{\rm $c_{tt}^{1}$}
+{$-0.423$}{\rm $c_{Qt}^{8}$}
+{$-0.362$}{\rm $c_{QQ}^{1}$}
+{$+0.216$}{\rm $c_{qq}^{1,1}$}
+{$+0.177$}{\rm $c_{qt}^{1}$}
+{$+0.143$}{\rm $c_{ut}^{1}$}
+{$-0.129$}{\rm $c_{QQ}^{8}$}
+{$+0.112$}{\rm $c_{qu}^{1}$}
+{$+0.072$}{\rm $c_{dt}^{1}$}
+{$+0.063$}{\rm $c_{qd}^{1}$}
+{$+0.059$}{\rm $c_{qd}^{8}$}
+{$+0.048$}{\rm $c_{dt}^{8}$}
+{$+0.036$}{\rm $c_{\varphi t}$}
+{$-0.036$}{\rm $c_{ut}^{8}$}
+{$+0.034$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.025$}{\rm $c_{qu}^{8}$}
+{$+0.018$}{\rm $c_{tZ}$}
+{$-0.013$}{\rm $c_{\varphi \Box}$}
+{$+0.012$}{\rm $c_{qq}^{8,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC21} (2.60e-02):}}
-{$-0.571$}{\rm $c_{qd}^{8}$} 
-{$-0.536$}{\rm $c_{dt}^{8}$} 
-{$+0.380$}{\rm $c_{qu}^{8}$} 
-{$+0.362$}{\rm $c_{\varphi t}$} 
-{$+0.198$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.197$}{\rm $c_{ut}^{8}$} 
-{$+0.150$}{\rm $c_{tZ}$} 
-{$+0.062$}{\rm $c_{qq}^{1,8}$} 
-{$-0.058$}{\rm $c_{qt}^{8}$} 
-{$-0.044$}{\rm $c_{tt}^{1}$} 
-{$-0.022$}{\rm $c_{QQ}^{1}$} 
-{$+0.018$}{\rm $c_{qt}^{1}$} 
-{$-0.018$}{\rm $c_{\varphi \Box}$} 
-{$-0.015$}{\rm $c_{Qt}^{8}$} 
-{$+0.012$}{\rm $c_{qu}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.571$}{\rm $c_{qd}^{8}$}
+{$-0.536$}{\rm $c_{dt}^{8}$}
+{$+0.380$}{\rm $c_{qu}^{8}$}
+{$+0.362$}{\rm $c_{\varphi t}$}
+{$+0.198$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.197$}{\rm $c_{ut}^{8}$}
+{$+0.150$}{\rm $c_{tZ}$}
+{$+0.062$}{\rm $c_{qq}^{1,8}$}
+{$-0.058$}{\rm $c_{qt}^{8}$}
+{$-0.044$}{\rm $c_{tt}^{1}$}
+{$-0.022$}{\rm $c_{QQ}^{1}$}
+{$+0.018$}{\rm $c_{qt}^{1}$}
+{$-0.018$}{\rm $c_{\varphi \Box}$}
+{$-0.015$}{\rm $c_{Qt}^{8}$}
+{$+0.012$}{\rm $c_{qu}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC22} (2.35e-02):}}
-{$-0.674$}{\rm $c_{\varphi t}$} 
-{$-0.479$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.354$}{\rm $c_{qd}^{8}$} 
-{$-0.271$}{\rm $c_{tZ}$} 
-{$+0.216$}{\rm $c_{ut}^{8}$} 
-{$-0.211$}{\rm $c_{dt}^{8}$} 
-{$+0.082$}{\rm $c_{qt}^{8}$} 
-{$-0.072$}{\rm $c_{tt}^{1}$} 
-{$-0.070$}{\rm $c_{qq}^{1,8}$} 
-{$+0.066$}{\rm $c_{qu}^{8}$} 
-{$-0.035$}{\rm $c_{QQ}^{1}$} 
-{$+0.030$}{\rm $c_{qt}^{1}$} 
-{$-0.024$}{\rm $c_{Qt}^{8}$} 
-{$+0.024$}{\rm $c_{t \varphi}$} 
-{$+0.019$}{\rm $c_{qu}^{1}$} 
-{$-0.015$}{\rm $c_{\varphi B}$} 
-{$-0.014$}{\rm $c_{WWW}$} 
-{$+0.011$}{\rm $c_{qd}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.674$}{\rm $c_{\varphi t}$}
+{$-0.479$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.354$}{\rm $c_{qd}^{8}$}
+{$-0.271$}{\rm $c_{tZ}$}
+{$+0.216$}{\rm $c_{ut}^{8}$}
+{$-0.211$}{\rm $c_{dt}^{8}$}
+{$+0.082$}{\rm $c_{qt}^{8}$}
+{$-0.072$}{\rm $c_{tt}^{1}$}
+{$-0.070$}{\rm $c_{qq}^{1,8}$}
+{$+0.066$}{\rm $c_{qu}^{8}$}
+{$-0.035$}{\rm $c_{QQ}^{1}$}
+{$+0.030$}{\rm $c_{qt}^{1}$}
+{$-0.024$}{\rm $c_{Qt}^{8}$}
+{$+0.024$}{\rm $c_{t \varphi}$}
+{$+0.019$}{\rm $c_{qu}^{1}$}
+{$-0.015$}{\rm $c_{\varphi B}$}
+{$-0.014$}{\rm $c_{WWW}$}
+{$+0.011$}{\rm $c_{qd}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC23} (7.57e-03):}}
-{$+0.566$}{\rm $c_{ut}^{8}$} 
-{$-0.533$}{\rm $c_{qu}^{8}$} 
-{$+0.413$}{\rm $c_{qt}^{8}$} 
-{$-0.404$}{\rm $c_{qq}^{1,8}$} 
-{$+0.232$}{\rm $c_{\varphi t}$} 
-{$-0.083$}{\rm $c_{qd}^{8}$} 
-{$+0.036$}{\rm $c_{tZ}$} 
-{$+0.025$}{\rm $c_{\varphi Q}^{(-)}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.566$}{\rm $c_{ut}^{8}$}
+{$-0.533$}{\rm $c_{qu}^{8}$}
+{$+0.413$}{\rm $c_{qt}^{8}$}
+{$-0.404$}{\rm $c_{qq}^{1,8}$}
+{$+0.232$}{\rm $c_{\varphi t}$}
+{$-0.083$}{\rm $c_{qd}^{8}$}
+{$+0.036$}{\rm $c_{tZ}$}
+{$+0.025$}{\rm $c_{\varphi Q}^{(-)}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC24} (3.54e-03):}}
-{$-0.482$}{\rm $c_{QQ}^{8}$} 
-{$-0.462$}{\rm $c_{qt}^{1}$} 
-{$-0.401$}{\rm $c_{Qt}^{8}$} 
-{$+0.344$}{\rm $c_{qq}^{1,1}$} 
-{$-0.296$}{\rm $c_{qu}^{1}$} 
-{$+0.239$}{\rm $c_{tt}^{1}$} 
-{$+0.213$}{\rm $c_{ut}^{1}$} 
-{$-0.173$}{\rm $c_{qd}^{1}$} 
-{$+0.129$}{\rm $c_{dt}^{1}$} 
-{$+0.111$}{\rm $c_{QQ}^{1}$} 
-{$-0.104$}{\rm $c_{qd}^{8}$} 
-{$+0.080$}{\rm $c_{dt}^{8}$} 
-{$-0.075$}{\rm $c_{Qt}^{1}$} 
-{$+0.038$}{\rm $c_{tZ}$} 
-{$+0.025$}{\rm $c_{qu}^{8}$} 
-{$-0.019$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.017$}{\rm $c_{\varphi t}$} 
-{$-0.013$}{\rm $c_{ut}^{8}$} 
-{$+0.013$}{\rm $c_{qt}^{8}$} 
-{$-0.013$}{\rm $c_{qq}^{1,8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.482$}{\rm $c_{QQ}^{8}$}
+{$-0.462$}{\rm $c_{qt}^{1}$}
+{$-0.401$}{\rm $c_{Qt}^{8}$}
+{$+0.344$}{\rm $c_{qq}^{1,1}$}
+{$-0.296$}{\rm $c_{qu}^{1}$}
+{$+0.239$}{\rm $c_{tt}^{1}$}
+{$+0.213$}{\rm $c_{ut}^{1}$}
+{$-0.173$}{\rm $c_{qd}^{1}$}
+{$+0.129$}{\rm $c_{dt}^{1}$}
+{$+0.111$}{\rm $c_{QQ}^{1}$}
+{$-0.104$}{\rm $c_{qd}^{8}$}
+{$+0.080$}{\rm $c_{dt}^{8}$}
+{$-0.075$}{\rm $c_{Qt}^{1}$}
+{$+0.038$}{\rm $c_{tZ}$}
+{$+0.025$}{\rm $c_{qu}^{8}$}
+{$-0.019$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.017$}{\rm $c_{\varphi t}$}
+{$-0.013$}{\rm $c_{ut}^{8}$}
+{$+0.013$}{\rm $c_{qt}^{8}$}
+{$-0.013$}{\rm $c_{qq}^{1,8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC25} (2.61e-03):}}
-{$-0.707$}{\rm $c_{dt}^{8}$} 
-{$+0.615$}{\rm $c_{qd}^{8}$} 
-{$+0.177$}{\rm $c_{tZ}$} 
-{$+0.168$}{\rm $c_{ut}^{8}$} 
-{$-0.130$}{\rm $c_{\varphi t}$} 
-{$-0.110$}{\rm $c_{qu}^{8}$} 
-{$-0.095$}{\rm $c_{qt}^{8}$} 
-{$+0.090$}{\rm $c_{qq}^{1,8}$} 
-{$-0.059$}{\rm $c_{QQ}^{8}$} 
-{$-0.055$}{\rm $c_{qt}^{1}$} 
-{$-0.050$}{\rm $c_{Qt}^{8}$} 
-{$+0.042$}{\rm $c_{qq}^{1,1}$} 
-{$-0.037$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.035$}{\rm $c_{qu}^{1}$} 
-{$+0.026$}{\rm $c_{tt}^{1}$} 
-{$+0.026$}{\rm $c_{ut}^{1}$} 
-{$-0.021$}{\rm $c_{qd}^{1}$} 
-{$+0.016$}{\rm $c_{dt}^{1}$} 
-{$+0.012$}{\rm $c_{QQ}^{1}$} 
-{$-0.011$}{\rm $c_{qq}^{8,3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.707$}{\rm $c_{dt}^{8}$}
+{$+0.615$}{\rm $c_{qd}^{8}$}
+{$+0.177$}{\rm $c_{tZ}$}
+{$+0.168$}{\rm $c_{ut}^{8}$}
+{$-0.130$}{\rm $c_{\varphi t}$}
+{$-0.110$}{\rm $c_{qu}^{8}$}
+{$-0.095$}{\rm $c_{qt}^{8}$}
+{$+0.090$}{\rm $c_{qq}^{1,8}$}
+{$-0.059$}{\rm $c_{QQ}^{8}$}
+{$-0.055$}{\rm $c_{qt}^{1}$}
+{$-0.050$}{\rm $c_{Qt}^{8}$}
+{$+0.042$}{\rm $c_{qq}^{1,1}$}
+{$-0.037$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.035$}{\rm $c_{qu}^{1}$}
+{$+0.026$}{\rm $c_{tt}^{1}$}
+{$+0.026$}{\rm $c_{ut}^{1}$}
+{$-0.021$}{\rm $c_{qd}^{1}$}
+{$+0.016$}{\rm $c_{dt}^{1}$}
+{$+0.012$}{\rm $c_{QQ}^{1}$}
+{$-0.011$}{\rm $c_{qq}^{8,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC26} (2.10e-03):}}
-{$-0.930$}{\rm $c_{tZ}$} 
-{$+0.229$}{\rm $c_{\varphi t}$} 
-{$+0.182$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.155$}{\rm $c_{dt}^{8}$} 
-{$+0.121$}{\rm $c_{qd}^{8}$} 
-{$-0.041$}{\rm $c_{\varphi B}$} 
-{$-0.034$}{\rm $c_{QQ}^{8}$} 
-{$-0.033$}{\rm $c_{qt}^{8}$} 
-{$-0.032$}{\rm $c_{qt}^{1}$} 
-{$+0.030$}{\rm $c_{qq}^{1,8}$} 
-{$+0.030$}{\rm $c_{t \varphi}$} 
-{$-0.029$}{\rm $c_{Qt}^{8}$} 
-{$+0.025$}{\rm $c_{qq}^{1,1}$} 
-{$-0.024$}{\rm $c_{\varphi D}$} 
-{$+0.022$}{\rm $c_{ut}^{8}$} 
-{$-0.020$}{\rm $c_{qu}^{1}$} 
-{$+0.016$}{\rm $c_{\varphi \Box}$} 
-{$+0.015$}{\rm $c_{ut}^{1}$} 
-{$+0.014$}{\rm $c_{tt}^{1}$} 
-{$-0.012$}{\rm $c_{qd}^{1}$} 
-{$-0.011$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.930$}{\rm $c_{tZ}$}
+{$+0.229$}{\rm $c_{\varphi t}$}
+{$+0.182$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.155$}{\rm $c_{dt}^{8}$}
+{$+0.121$}{\rm $c_{qd}^{8}$}
+{$-0.041$}{\rm $c_{\varphi B}$}
+{$-0.034$}{\rm $c_{QQ}^{8}$}
+{$-0.033$}{\rm $c_{qt}^{8}$}
+{$-0.032$}{\rm $c_{qt}^{1}$}
+{$+0.030$}{\rm $c_{qq}^{1,8}$}
+{$+0.030$}{\rm $c_{t \varphi}$}
+{$-0.029$}{\rm $c_{Qt}^{8}$}
+{$+0.025$}{\rm $c_{qq}^{1,1}$}
+{$-0.024$}{\rm $c_{\varphi D}$}
+{$+0.022$}{\rm $c_{ut}^{8}$}
+{$-0.020$}{\rm $c_{qu}^{1}$}
+{$+0.016$}{\rm $c_{\varphi \Box}$}
+{$+0.015$}{\rm $c_{ut}^{1}$}
+{$+0.014$}{\rm $c_{tt}^{1}$}
+{$-0.012$}{\rm $c_{qd}^{1}$}
+{$-0.011$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC27} (1.06e-10):}}
-{$+0.912$}{\rm $c_{qq}^{1,1}$} 
-{$+0.255$}{\rm $c_{Qt}^{8}$} 
-{$+0.215$}{\rm $c_{QQ}^{8}$} 
-{$+0.135$}{\rm $c_{qt}^{1}$} 
-{$-0.116$}{\rm $c_{ut}^{1}$} 
-{$+0.087$}{\rm $c_{qu}^{1}$} 
-{$+0.084$}{\rm $c_{tt}^{1}$} 
-{$-0.067$}{\rm $c_{dt}^{1}$} 
-{$+0.051$}{\rm $c_{qd}^{1}$} 
-{$+0.044$}{\rm $c_{QQ}^{1}$} 
-{$+0.028$}{\rm $c_{Qt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.912$}{\rm $c_{qq}^{1,1}$}
+{$+0.255$}{\rm $c_{Qt}^{8}$}
+{$+0.215$}{\rm $c_{QQ}^{8}$}
+{$+0.135$}{\rm $c_{qt}^{1}$}
+{$-0.116$}{\rm $c_{ut}^{1}$}
+{$+0.087$}{\rm $c_{qu}^{1}$}
+{$+0.084$}{\rm $c_{tt}^{1}$}
+{$-0.067$}{\rm $c_{dt}^{1}$}
+{$+0.051$}{\rm $c_{qd}^{1}$}
+{$+0.044$}{\rm $c_{QQ}^{1}$}
+{$+0.028$}{\rm $c_{Qt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC28} (5.27e-11):}}
-{$+0.986$}{\rm $c_{dt}^{1}$} 
-{$+0.107$}{\rm $c_{Qt}^{8}$} 
-{$+0.097$}{\rm $c_{QQ}^{8}$} 
-{$-0.049$}{\rm $c_{ut}^{1}$} 
-{$+0.040$}{\rm $c_{qu}^{1}$} 
-{$+0.033$}{\rm $c_{qt}^{1}$} 
-{$+0.031$}{\rm $c_{qd}^{1}$} 
-{$+0.020$}{\rm $c_{tt}^{1}$} 
-{$+0.013$}{\rm $c_{Qt}^{1}$} 
-{$+0.011$}{\rm $c_{QQ}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.986$}{\rm $c_{dt}^{1}$}
+{$+0.107$}{\rm $c_{Qt}^{8}$}
+{$+0.097$}{\rm $c_{QQ}^{8}$}
+{$-0.049$}{\rm $c_{ut}^{1}$}
+{$+0.040$}{\rm $c_{qu}^{1}$}
+{$+0.033$}{\rm $c_{qt}^{1}$}
+{$+0.031$}{\rm $c_{qd}^{1}$}
+{$+0.020$}{\rm $c_{tt}^{1}$}
+{$+0.013$}{\rm $c_{Qt}^{1}$}
+{$+0.011$}{\rm $c_{QQ}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC29} (5.27e-11):}}
-{$-0.843$}{\rm $c_{qt}^{1}$} 
-{$-0.297$}{\rm $c_{tt}^{1}$} 
-{$+0.297$}{\rm $c_{QQ}^{8}$} 
-{$+0.189$}{\rm $c_{Qt}^{8}$} 
-{$+0.184$}{\rm $c_{qu}^{1}$} 
-{$-0.143$}{\rm $c_{QQ}^{1}$} 
-{$-0.136$}{\rm $c_{ut}^{1}$} 
-{$+0.052$}{\rm $c_{Qt}^{1}$} 
-{$-0.040$}{\rm $c_{qd}^{1}$} 
-{$-0.028$}{\rm $c_{dt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.843$}{\rm $c_{qt}^{1}$}
+{$-0.297$}{\rm $c_{tt}^{1}$}
+{$+0.297$}{\rm $c_{QQ}^{8}$}
+{$+0.189$}{\rm $c_{Qt}^{8}$}
+{$+0.184$}{\rm $c_{qu}^{1}$}
+{$-0.143$}{\rm $c_{QQ}^{1}$}
+{$-0.136$}{\rm $c_{ut}^{1}$}
+{$+0.052$}{\rm $c_{Qt}^{1}$}
+{$-0.040$}{\rm $c_{qd}^{1}$}
+{$-0.028$}{\rm $c_{dt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC30} (5.27e-11):}}
-{$-0.969$}{\rm $c_{qd}^{1}$} 
-{$+0.193$}{\rm $c_{qu}^{1}$} 
-{$+0.132$}{\rm $c_{qt}^{1}$} 
-{$+0.050$}{\rm $c_{QQ}^{8}$} 
-{$-0.040$}{\rm $c_{tt}^{1}$} 
-{$+0.037$}{\rm $c_{Qt}^{8}$} 
-{$-0.022$}{\rm $c_{QQ}^{1}$} 
-{$+0.010$}{\rm $c_{dt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.969$}{\rm $c_{qd}^{1}$}
+{$+0.193$}{\rm $c_{qu}^{1}$}
+{$+0.132$}{\rm $c_{qt}^{1}$}
+{$+0.050$}{\rm $c_{QQ}^{8}$}
+{$-0.040$}{\rm $c_{tt}^{1}$}
+{$+0.037$}{\rm $c_{Qt}^{8}$}
+{$-0.022$}{\rm $c_{QQ}^{1}$}
+{$+0.010$}{\rm $c_{dt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC31} (5.27e-11):}}
-{$+0.892$}{\rm $c_{qu}^{1}$} 
-{$-0.282$}{\rm $c_{QQ}^{8}$} 
-{$+0.235$}{\rm $c_{tt}^{1}$} 
-{$-0.187$}{\rm $c_{Qt}^{8}$} 
-{$+0.137$}{\rm $c_{qd}^{1}$} 
-{$+0.094$}{\rm $c_{QQ}^{1}$} 
-{$-0.063$}{\rm $c_{ut}^{1}$} 
-{$-0.044$}{\rm $c_{qt}^{1}$} 
-{$-0.040$}{\rm $c_{Qt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.892$}{\rm $c_{qu}^{1}$}
+{$-0.282$}{\rm $c_{QQ}^{8}$}
+{$+0.235$}{\rm $c_{tt}^{1}$}
+{$-0.187$}{\rm $c_{Qt}^{8}$}
+{$+0.137$}{\rm $c_{qd}^{1}$}
+{$+0.094$}{\rm $c_{QQ}^{1}$}
+{$-0.063$}{\rm $c_{ut}^{1}$}
+{$-0.044$}{\rm $c_{qt}^{1}$}
+{$-0.040$}{\rm $c_{Qt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC32} (5.27e-11):}}
-{$+0.923$}{\rm $c_{ut}^{1}$} 
-{$+0.273$}{\rm $c_{Qt}^{8}$} 
-{$-0.159$}{\rm $c_{QQ}^{1}$} 
-{$+0.141$}{\rm $c_{qu}^{1}$} 
-{$+0.107$}{\rm $c_{QQ}^{8}$} 
-{$+0.100$}{\rm $c_{tt}^{1}$} 
-{$+0.059$}{\rm $c_{Qt}^{1}$} 
-{$+0.043$}{\rm $c_{qd}^{1}$} 
-{$-0.026$}{\rm $c_{qt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.923$}{\rm $c_{ut}^{1}$}
+{$+0.273$}{\rm $c_{Qt}^{8}$}
+{$-0.159$}{\rm $c_{QQ}^{1}$}
+{$+0.141$}{\rm $c_{qu}^{1}$}
+{$+0.107$}{\rm $c_{QQ}^{8}$}
+{$+0.100$}{\rm $c_{tt}^{1}$}
+{$+0.059$}{\rm $c_{Qt}^{1}$}
+{$+0.043$}{\rm $c_{qd}^{1}$}
+{$-0.026$}{\rm $c_{qt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC33} (5.27e-11):}}
-{$+0.799$}{\rm $c_{QQ}^{1}$} 
-{$+0.383$}{\rm $c_{QQ}^{8}$} 
-{$-0.281$}{\rm $c_{Qt}^{8}$} 
-{$-0.253$}{\rm $c_{tt}^{1}$} 
-{$+0.206$}{\rm $c_{ut}^{1}$} 
-{$-0.166$}{\rm $c_{Qt}^{1}$} 
-{$+0.050$}{\rm $c_{qu}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.799$}{\rm $c_{QQ}^{1}$}
+{$+0.383$}{\rm $c_{QQ}^{8}$}
+{$-0.281$}{\rm $c_{Qt}^{8}$}
+{$-0.253$}{\rm $c_{tt}^{1}$}
+{$+0.206$}{\rm $c_{ut}^{1}$}
+{$-0.166$}{\rm $c_{Qt}^{1}$}
+{$+0.050$}{\rm $c_{qu}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC34} (5.27e-11):}}
-{$-0.847$}{\rm $c_{Qt}^{1}$} 
-{$-0.326$}{\rm $c_{QQ}^{1}$} 
-{$+0.313$}{\rm $c_{QQ}^{8}$} 
-{$+0.206$}{\rm $c_{tt}^{1}$} 
-{$-0.188$}{\rm $c_{Qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.847$}{\rm $c_{Qt}^{1}$}
+{$-0.326$}{\rm $c_{QQ}^{1}$}
+{$+0.313$}{\rm $c_{QQ}^{8}$}
+{$+0.206$}{\rm $c_{tt}^{1}$}
+{$-0.188$}{\rm $c_{Qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC35} (5.27e-11):}}
-{$-0.564$}{\rm $c_{Qt}^{8}$} 
-{$+0.515$}{\rm $c_{QQ}^{8}$} 
-{$+0.490$}{\rm $c_{Qt}^{1}$} 
-{$+0.351$}{\rm $c_{tt}^{1}$} 
-{$-0.232$}{\rm $c_{QQ}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.564$}{\rm $c_{Qt}^{8}$}
+{$+0.515$}{\rm $c_{QQ}^{8}$}
+{$+0.490$}{\rm $c_{Qt}^{1}$}
+{$+0.351$}{\rm $c_{tt}^{1}$}
+{$-0.232$}{\rm $c_{QQ}^{1}$}
+ \nonumber \\ \nonumber \\
 \end{document}
diff --git a/docs/source/_static/LO_NLO_quadratic/meta/pca_table_NS_GLOBAL_NLO_HO.tex b/docs/source/_static/LO_NLO_quadratic/meta/pca_table_NS_GLOBAL_NLO_HO.tex
index d570e64b..eb8f560d 100644
--- a/docs/source/_static/LO_NLO_quadratic/meta/pca_table_NS_GLOBAL_NLO_HO.tex
+++ b/docs/source/_static/LO_NLO_quadratic/meta/pca_table_NS_GLOBAL_NLO_HO.tex
@@ -20,668 +20,668 @@
 \begin{document}
 \noindent \underline{\bf{Principal Components Analysis}:} \rm NS \ NLO\ quadratic\\ \\ \\
 \noindent \textcolor{red}{\underline{\bf{PC00} (5.36e+05):}}
-{$-0.655$}{\rm $c_{\varphi B}$} 
-{$+0.621$}{\rm $c_{\varphi G}$} 
-{$+0.365$}{\rm $c_{\varphi WB}$} 
-{$-0.199$}{\rm $c_{\varphi W}$} 
-{$+0.087$}{\rm $c_{b \varphi}$} 
-{$-0.039$}{\rm $c_{tW}$} 
-{$+0.036$}{\rm $c_{tG}$} 
-{$+0.035$}{\rm $c_{tZ}$} 
-{$+0.028$}{\rm $c_{c \varphi}$} 
-{$+0.013$}{\rm $c_{\tau \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.655$}{\rm $c_{\varphi B}$}
+{$+0.621$}{\rm $c_{\varphi G}$}
+{$+0.365$}{\rm $c_{\varphi WB}$}
+{$-0.199$}{\rm $c_{\varphi W}$}
+{$+0.087$}{\rm $c_{b \varphi}$}
+{$-0.039$}{\rm $c_{tW}$}
+{$+0.036$}{\rm $c_{tG}$}
+{$+0.035$}{\rm $c_{tZ}$}
+{$+0.028$}{\rm $c_{c \varphi}$}
+{$+0.013$}{\rm $c_{\tau \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC01} (1.90e+05):}}
-{$-0.776$}{\rm $c_{\varphi G}$} 
-{$-0.531$}{\rm $c_{\varphi B}$} 
-{$+0.289$}{\rm $c_{\varphi WB}$} 
-{$-0.162$}{\rm $c_{\varphi W}$} 
-{$-0.044$}{\rm $c_{b \varphi}$} 
-{$-0.042$}{\rm $c_{tG}$} 
-{$-0.032$}{\rm $c_{tW}$} 
-{$+0.029$}{\rm $c_{tZ}$} 
-{$-0.014$}{\rm $c_{c \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.776$}{\rm $c_{\varphi G}$}
+{$-0.531$}{\rm $c_{\varphi B}$}
+{$+0.289$}{\rm $c_{\varphi WB}$}
+{$-0.162$}{\rm $c_{\varphi W}$}
+{$-0.044$}{\rm $c_{b \varphi}$}
+{$-0.042$}{\rm $c_{tG}$}
+{$-0.032$}{\rm $c_{tW}$}
+{$+0.029$}{\rm $c_{tZ}$}
+{$-0.014$}{\rm $c_{c \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC02} (4.44e+03):}}
-{$+0.830$}{\rm $c_{\tau \varphi}$} 
-{$-0.504$}{\rm $c_{b \varphi}$} 
-{$-0.162$}{\rm $c_{\varphi WB}$} 
-{$-0.099$}{\rm $c_{\varphi B}$} 
-{$-0.099$}{\rm $c_{\varphi D}$} 
-{$-0.096$}{\rm $c_{c \varphi}$} 
-{$+0.046$}{\rm $c_{\varphi G}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.830$}{\rm $c_{\tau \varphi}$}
+{$-0.504$}{\rm $c_{b \varphi}$}
+{$-0.162$}{\rm $c_{\varphi WB}$}
+{$-0.099$}{\rm $c_{\varphi B}$}
+{$-0.099$}{\rm $c_{\varphi D}$}
+{$-0.096$}{\rm $c_{c \varphi}$}
+{$+0.046$}{\rm $c_{\varphi G}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC03} (2.33e+03):}}
-{$-0.721$}{\rm $c_{b \varphi}$} 
-{$-0.556$}{\rm $c_{\tau \varphi}$} 
-{$-0.279$}{\rm $c_{\varphi WB}$} 
-{$-0.194$}{\rm $c_{\varphi B}$} 
-{$-0.186$}{\rm $c_{\varphi D}$} 
-{$-0.127$}{\rm $c_{c \varphi}$} 
-{$+0.073$}{\rm $c_{\varphi G}$} 
-{$-0.014$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{tZ}$} 
-{$-0.010$}{\rm $c_{tW}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.721$}{\rm $c_{b \varphi}$}
+{$-0.556$}{\rm $c_{\tau \varphi}$}
+{$-0.279$}{\rm $c_{\varphi WB}$}
+{$-0.194$}{\rm $c_{\varphi B}$}
+{$-0.186$}{\rm $c_{\varphi D}$}
+{$-0.127$}{\rm $c_{c \varphi}$}
+{$+0.073$}{\rm $c_{\varphi G}$}
+{$-0.014$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{tZ}$}
+{$-0.010$}{\rm $c_{tW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC04} (1.54e+03):}}
-{$-0.709$}{\rm $c_{\varphi WB}$} 
-{$+0.399$}{\rm $c_{b \varphi}$} 
-{$-0.396$}{\rm $c_{\varphi D}$} 
-{$-0.357$}{\rm $c_{\varphi B}$} 
-{$+0.218$}{\rm $c_{c \varphi}$} 
-{$+0.041$}{\rm $c_{\tau \varphi}$} 
-{$-0.038$}{\rm $c_{\varphi G}$} 
-{$-0.030$}{\rm $c_{\varphi W}$} 
-{$+0.028$}{\rm $c_{tG}$} 
-{$-0.021$}{\rm $c_{tW}$} 
-{$+0.019$}{\rm $c_{tZ}$} 
-{$+0.011$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.709$}{\rm $c_{\varphi WB}$}
+{$+0.399$}{\rm $c_{b \varphi}$}
+{$-0.396$}{\rm $c_{\varphi D}$}
+{$-0.357$}{\rm $c_{\varphi B}$}
+{$+0.218$}{\rm $c_{c \varphi}$}
+{$+0.041$}{\rm $c_{\tau \varphi}$}
+{$-0.038$}{\rm $c_{\varphi G}$}
+{$-0.030$}{\rm $c_{\varphi W}$}
+{$+0.028$}{\rm $c_{tG}$}
+{$-0.021$}{\rm $c_{tW}$}
+{$+0.019$}{\rm $c_{tZ}$}
+{$+0.011$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC05} (3.22e+02):}}
-{$-0.983$}{\rm $c_{tG}$} 
-{$-0.111$}{\rm $c_{c \varphi}$} 
-{$-0.071$}{\rm $c_{qq}^{1,8}$} 
-{$-0.070$}{\rm $c_{qt}^{8}$} 
-{$+0.054$}{\rm $c_{\varphi G}$} 
-{$+0.047$}{\rm $c_{b \varphi}$} 
-{$-0.032$}{\rm $c_{\varphi WB}$} 
-{$-0.031$}{\rm $c_{ut}^{8}$} 
-{$-0.029$}{\rm $c_{qu}^{8}$} 
-{$+0.021$}{\rm $c_{tW}$} 
-{$-0.020$}{\rm $c_{dt}^{8}$} 
-{$-0.019$}{\rm $c_{qd}^{8}$} 
-{$-0.017$}{\rm $c_{\varphi D}$} 
-{$-0.017$}{\rm $c_{\varphi W}$} 
-{$-0.015$}{\rm $c_{\varphi B}$} 
-{$+0.012$}{\rm $c_{\varphi Q}^{(-)}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.983$}{\rm $c_{tG}$}
+{$-0.111$}{\rm $c_{c \varphi}$}
+{$-0.071$}{\rm $c_{qq}^{1,8}$}
+{$-0.070$}{\rm $c_{qt}^{8}$}
+{$+0.054$}{\rm $c_{\varphi G}$}
+{$+0.047$}{\rm $c_{b \varphi}$}
+{$-0.032$}{\rm $c_{\varphi WB}$}
+{$-0.031$}{\rm $c_{ut}^{8}$}
+{$-0.029$}{\rm $c_{qu}^{8}$}
+{$+0.021$}{\rm $c_{tW}$}
+{$-0.020$}{\rm $c_{dt}^{8}$}
+{$-0.019$}{\rm $c_{qd}^{8}$}
+{$-0.017$}{\rm $c_{\varphi D}$}
+{$-0.017$}{\rm $c_{\varphi W}$}
+{$-0.015$}{\rm $c_{\varphi B}$}
+{$+0.012$}{\rm $c_{\varphi Q}^{(-)}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC06} (2.79e+02):}}
-{$-0.956$}{\rm $c_{qq}^{1,3}$} 
-{$+0.286$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.055$}{\rm $c_{tW}$} 
-{$+0.028$}{\rm $c_{c \varphi}$} 
-{$+0.023$}{\rm $c_{qq}^{8,3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.956$}{\rm $c_{qq}^{1,3}$}
+{$+0.286$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.055$}{\rm $c_{tW}$}
+{$+0.028$}{\rm $c_{c \varphi}$}
+{$+0.023$}{\rm $c_{qq}^{8,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC07} (1.72e+02):}}
-{$-0.926$}{\rm $c_{c \varphi}$} 
-{$-0.233$}{\rm $c_{\varphi W}$} 
-{$+0.226$}{\rm $c_{b \varphi}$} 
-{$+0.122$}{\rm $c_{tG}$} 
-{$-0.111$}{\rm $c_{\varphi WB}$} 
-{$-0.065$}{\rm $c_{\varphi D}$} 
-{$-0.062$}{\rm $c_{\varphi \Box}$} 
-{$-0.030$}{\rm $c_{qq}^{1,3}$} 
-{$+0.023$}{\rm $c_{qq}^{1,8}$} 
-{$+0.021$}{\rm $c_{tW}$} 
-{$+0.013$}{\rm $c_{t \varphi}$} 
-{$-0.013$}{\rm $c_{WWW}$} 
-{$+0.012$}{\rm $c_{qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.926$}{\rm $c_{c \varphi}$}
+{$-0.233$}{\rm $c_{\varphi W}$}
+{$+0.226$}{\rm $c_{b \varphi}$}
+{$+0.122$}{\rm $c_{tG}$}
+{$-0.111$}{\rm $c_{\varphi WB}$}
+{$-0.065$}{\rm $c_{\varphi D}$}
+{$-0.062$}{\rm $c_{\varphi \Box}$}
+{$-0.030$}{\rm $c_{qq}^{1,3}$}
+{$+0.023$}{\rm $c_{qq}^{1,8}$}
+{$+0.021$}{\rm $c_{tW}$}
+{$+0.013$}{\rm $c_{t \varphi}$}
+{$-0.013$}{\rm $c_{WWW}$}
+{$+0.012$}{\rm $c_{qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC08} (8.30e+01):}}
-{$-0.996$}{\rm $c_{tW}$} 
-{$-0.061$}{\rm $c_{qq}^{1,3}$} 
-{$+0.052$}{\rm $c_{\varphi B}$} 
-{$+0.023$}{\rm $c_{qq}^{1,8}$} 
-{$-0.023$}{\rm $c_{c \varphi}$} 
-{$-0.022$}{\rm $c_{tG}$} 
-{$+0.013$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.996$}{\rm $c_{tW}$}
+{$-0.061$}{\rm $c_{qq}^{1,3}$}
+{$+0.052$}{\rm $c_{\varphi B}$}
+{$+0.023$}{\rm $c_{qq}^{1,8}$}
+{$-0.023$}{\rm $c_{c \varphi}$}
+{$-0.022$}{\rm $c_{tG}$}
+{$+0.013$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC09} (3.29e+01):}}
-{$-0.795$}{\rm $c_{qq}^{1,8}$} 
-{$-0.423$}{\rm $c_{ut}^{8}$} 
-{$-0.231$}{\rm $c_{qt}^{8}$} 
-{$-0.201$}{\rm $c_{dt}^{8}$} 
-{$-0.195$}{\rm $c_{qq}^{1,1}$} 
-{$-0.127$}{\rm $c_{ut}^{1}$} 
-{$+0.094$}{\rm $c_{tG}$} 
-{$-0.085$}{\rm $c_{qq}^{8,3}$} 
-{$-0.074$}{\rm $c_{dt}^{1}$} 
-{$+0.069$}{\rm $c_{\varphi W}$} 
-{$+0.068$}{\rm $c_{qu}^{1}$} 
-{$+0.043$}{\rm $c_{qu}^{8}$} 
-{$+0.041$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.035$}{\rm $c_{c \varphi}$} 
-{$-0.029$}{\rm $c_{tW}$} 
-{$+0.028$}{\rm $c_{qd}^{1}$} 
-{$-0.026$}{\rm $c_{\varphi t}$} 
-{$+0.024$}{\rm $c_{qt}^{1}$} 
-{$-0.024$}{\rm $c_{\varphi B}$} 
-{$+0.019$}{\rm $c_{\varphi D}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.795$}{\rm $c_{qq}^{1,8}$}
+{$-0.423$}{\rm $c_{ut}^{8}$}
+{$-0.231$}{\rm $c_{qt}^{8}$}
+{$-0.201$}{\rm $c_{dt}^{8}$}
+{$-0.195$}{\rm $c_{qq}^{1,1}$}
+{$-0.127$}{\rm $c_{ut}^{1}$}
+{$+0.094$}{\rm $c_{tG}$}
+{$-0.085$}{\rm $c_{qq}^{8,3}$}
+{$-0.074$}{\rm $c_{dt}^{1}$}
+{$+0.069$}{\rm $c_{\varphi W}$}
+{$+0.068$}{\rm $c_{qu}^{1}$}
+{$+0.043$}{\rm $c_{qu}^{8}$}
+{$+0.041$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.035$}{\rm $c_{c \varphi}$}
+{$-0.029$}{\rm $c_{tW}$}
+{$+0.028$}{\rm $c_{qd}^{1}$}
+{$-0.026$}{\rm $c_{\varphi t}$}
+{$+0.024$}{\rm $c_{qt}^{1}$}
+{$-0.024$}{\rm $c_{\varphi B}$}
+{$+0.019$}{\rm $c_{\varphi D}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC10} (2.25e+01):}}
-{$+0.880$}{\rm $c_{\varphi W}$} 
-{$-0.304$}{\rm $c_{\varphi B}$} 
-{$+0.262$}{\rm $c_{\varphi D}$} 
-{$-0.217$}{\rm $c_{c \varphi}$} 
-{$+0.069$}{\rm $c_{qq}^{1,8}$} 
-{$-0.064$}{\rm $c_{\varphi WB}$} 
-{$+0.059$}{\rm $c_{b \varphi}$} 
-{$+0.046$}{\rm $c_{WWW}$} 
-{$+0.034$}{\rm $c_{qt}^{8}$} 
-{$+0.029$}{\rm $c_{ut}^{8}$} 
-{$+0.022$}{\rm $c_{t \varphi}$} 
-{$-0.014$}{\rm $c_{qu}^{1}$} 
-{$+0.014$}{\rm $c_{dt}^{8}$} 
-{$+0.013$}{\rm $c_{qq}^{1,1}$} 
-{$-0.012$}{\rm $c_{qt}^{1}$} 
-{$-0.010$}{\rm $c_{\varphi Q}^{3}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.880$}{\rm $c_{\varphi W}$}
+{$-0.304$}{\rm $c_{\varphi B}$}
+{$+0.262$}{\rm $c_{\varphi D}$}
+{$-0.217$}{\rm $c_{c \varphi}$}
+{$+0.069$}{\rm $c_{qq}^{1,8}$}
+{$-0.064$}{\rm $c_{\varphi WB}$}
+{$+0.059$}{\rm $c_{b \varphi}$}
+{$+0.046$}{\rm $c_{WWW}$}
+{$+0.034$}{\rm $c_{qt}^{8}$}
+{$+0.029$}{\rm $c_{ut}^{8}$}
+{$+0.022$}{\rm $c_{t \varphi}$}
+{$-0.014$}{\rm $c_{qu}^{1}$}
+{$+0.014$}{\rm $c_{dt}^{8}$}
+{$+0.013$}{\rm $c_{qq}^{1,1}$}
+{$-0.012$}{\rm $c_{qt}^{1}$}
+{$-0.010$}{\rm $c_{\varphi Q}^{3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC11} (1.81e+01):}}
-{$+0.731$}{\rm $c_{qt}^{8}$} 
-{$-0.354$}{\rm $c_{qt}^{1}$} 
-{$+0.307$}{\rm $c_{qu}^{8}$} 
-{$-0.286$}{\rm $c_{qu}^{1}$} 
-{$-0.241$}{\rm $c_{qq}^{8,3}$} 
-{$-0.175$}{\rm $c_{ut}^{8}$} 
-{$+0.145$}{\rm $c_{qd}^{8}$} 
-{$-0.123$}{\rm $c_{qd}^{1}$} 
-{$-0.110$}{\rm $c_{qq}^{1,1}$} 
-{$-0.091$}{\rm $c_{ut}^{1}$} 
-{$-0.070$}{\rm $c_{qq}^{1,8}$} 
-{$-0.064$}{\rm $c_{dt}^{8}$} 
-{$-0.057$}{\rm $c_{tG}$} 
-{$-0.053$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.034$}{\rm $c_{\varphi t}$} 
-{$-0.032$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.022$}{\rm $c_{dt}^{1}$} 
-{$-0.019$}{\rm $c_{\varphi W}$} 
-{$-0.013$}{\rm $c_{qq}^{1,3}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.731$}{\rm $c_{qt}^{8}$}
+{$-0.354$}{\rm $c_{qt}^{1}$}
+{$+0.307$}{\rm $c_{qu}^{8}$}
+{$-0.286$}{\rm $c_{qu}^{1}$}
+{$-0.241$}{\rm $c_{qq}^{8,3}$}
+{$-0.175$}{\rm $c_{ut}^{8}$}
+{$+0.145$}{\rm $c_{qd}^{8}$}
+{$-0.123$}{\rm $c_{qd}^{1}$}
+{$-0.110$}{\rm $c_{qq}^{1,1}$}
+{$-0.091$}{\rm $c_{ut}^{1}$}
+{$-0.070$}{\rm $c_{qq}^{1,8}$}
+{$-0.064$}{\rm $c_{dt}^{8}$}
+{$-0.057$}{\rm $c_{tG}$}
+{$-0.053$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.034$}{\rm $c_{\varphi t}$}
+{$-0.032$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.022$}{\rm $c_{dt}^{1}$}
+{$-0.019$}{\rm $c_{\varphi W}$}
+{$-0.013$}{\rm $c_{qq}^{1,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC12} (7.64e+00):}}
-{$-0.948$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.285$}{\rm $c_{qq}^{1,3}$} 
-{$-0.107$}{\rm $c_{qq}^{8,3}$} 
-{$+0.046$}{\rm $c_{qt}^{1}$} 
-{$+0.041$}{\rm $c_{qu}^{1}$} 
-{$-0.030$}{\rm $c_{qt}^{8}$} 
-{$+0.027$}{\rm $c_{qq}^{1,8}$} 
-{$+0.024$}{\rm $c_{tW}$} 
-{$-0.021$}{\rm $c_{\varphi D}$} 
-{$-0.021$}{\rm $c_{qu}^{8}$} 
-{$-0.021$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.018$}{\rm $c_{qd}^{1}$} 
-{$+0.016$}{\rm $c_{WWW}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.948$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.285$}{\rm $c_{qq}^{1,3}$}
+{$-0.107$}{\rm $c_{qq}^{8,3}$}
+{$+0.046$}{\rm $c_{qt}^{1}$}
+{$+0.041$}{\rm $c_{qu}^{1}$}
+{$-0.030$}{\rm $c_{qt}^{8}$}
+{$+0.027$}{\rm $c_{qq}^{1,8}$}
+{$+0.024$}{\rm $c_{tW}$}
+{$-0.021$}{\rm $c_{\varphi D}$}
+{$-0.021$}{\rm $c_{qu}^{8}$}
+{$-0.021$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.018$}{\rm $c_{qd}^{1}$}
+{$+0.016$}{\rm $c_{WWW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC13} (3.91e+00):}}
-{$-0.397$}{\rm $c_{ut}^{8}$} 
-{$+0.383$}{\rm $c_{qt}^{1}$} 
-{$-0.378$}{\rm $c_{qq}^{8,3}$} 
-{$+0.362$}{\rm $c_{qu}^{1}$} 
-{$+0.335$}{\rm $c_{qq}^{1,8}$} 
-{$-0.302$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.201$}{\rm $c_{dt}^{8}$} 
-{$+0.195$}{\rm $c_{\varphi t}$} 
-{$-0.176$}{\rm $c_{qq}^{1,1}$} 
-{$+0.167$}{\rm $c_{qd}^{1}$} 
-{$-0.163$}{\rm $c_{qu}^{8}$} 
-{$+0.162$}{\rm $c_{qt}^{8}$} 
-{$+0.094$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.085$}{\rm $c_{ut}^{1}$} 
-{$-0.078$}{\rm $c_{dt}^{1}$} 
-{$-0.055$}{\rm $c_{qd}^{8}$} 
-{$-0.039$}{\rm $c_{tZ}$} 
-{$+0.018$}{\rm $c_{qq}^{1,3}$} 
-{$-0.015$}{\rm $c_{\varphi D}$} 
-{$-0.015$}{\rm $c_{tG}$} 
-{$+0.010$}{\rm $c_{t \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.397$}{\rm $c_{ut}^{8}$}
+{$+0.383$}{\rm $c_{qt}^{1}$}
+{$-0.378$}{\rm $c_{qq}^{8,3}$}
+{$+0.362$}{\rm $c_{qu}^{1}$}
+{$+0.335$}{\rm $c_{qq}^{1,8}$}
+{$-0.302$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.201$}{\rm $c_{dt}^{8}$}
+{$+0.195$}{\rm $c_{\varphi t}$}
+{$-0.176$}{\rm $c_{qq}^{1,1}$}
+{$+0.167$}{\rm $c_{qd}^{1}$}
+{$-0.163$}{\rm $c_{qu}^{8}$}
+{$+0.162$}{\rm $c_{qt}^{8}$}
+{$+0.094$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.085$}{\rm $c_{ut}^{1}$}
+{$-0.078$}{\rm $c_{dt}^{1}$}
+{$-0.055$}{\rm $c_{qd}^{8}$}
+{$-0.039$}{\rm $c_{tZ}$}
+{$+0.018$}{\rm $c_{qq}^{1,3}$}
+{$-0.015$}{\rm $c_{\varphi D}$}
+{$-0.015$}{\rm $c_{tG}$}
+{$+0.010$}{\rm $c_{t \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC14} (2.46e+00):}}
-{$-0.973$}{\rm $c_{WWW}$} 
-{$-0.162$}{\rm $c_{\varphi D}$} 
-{$+0.108$}{\rm $c_{\varphi W}$} 
-{$+0.090$}{\rm $c_{\varphi WB}$} 
-{$-0.045$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.037$}{\rm $c_{\varphi \Box}$} 
-{$+0.029$}{\rm $c_{qu}^{8}$} 
-{$+0.024$}{\rm $c_{\varphi t}$} 
-{$-0.023$}{\rm $c_{qq}^{1,8}$} 
-{$+0.021$}{\rm $c_{qq}^{8,3}$} 
-{$+0.019$}{\rm $c_{qq}^{1,1}$} 
-{$+0.017$}{\rm $c_{qu}^{1}$} 
-{$+0.016$}{\rm $c_{\varphi B}$} 
-{$+0.014$}{\rm $c_{qt}^{1}$} 
-{$-0.014$}{\rm $c_{c \varphi}$} 
-{$+0.013$}{\rm $c_{qd}^{8}$} 
-{$-0.013$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.010$}{\rm $c_{ut}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.973$}{\rm $c_{WWW}$}
+{$-0.162$}{\rm $c_{\varphi D}$}
+{$+0.108$}{\rm $c_{\varphi W}$}
+{$+0.090$}{\rm $c_{\varphi WB}$}
+{$-0.045$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.037$}{\rm $c_{\varphi \Box}$}
+{$+0.029$}{\rm $c_{qu}^{8}$}
+{$+0.024$}{\rm $c_{\varphi t}$}
+{$-0.023$}{\rm $c_{qq}^{1,8}$}
+{$+0.021$}{\rm $c_{qq}^{8,3}$}
+{$+0.019$}{\rm $c_{qq}^{1,1}$}
+{$+0.017$}{\rm $c_{qu}^{1}$}
+{$+0.016$}{\rm $c_{\varphi B}$}
+{$+0.014$}{\rm $c_{qt}^{1}$}
+{$-0.014$}{\rm $c_{c \varphi}$}
+{$+0.013$}{\rm $c_{qd}^{8}$}
+{$-0.013$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.010$}{\rm $c_{ut}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC15} (2.25e+00):}}
-{$+0.818$}{\rm $c_{\varphi D}$} 
-{$-0.380$}{\rm $c_{\varphi WB}$} 
-{$-0.284$}{\rm $c_{\varphi W}$} 
-{$-0.216$}{\rm $c_{WWW}$} 
-{$-0.171$}{\rm $c_{\varphi \Box}$} 
-{$-0.125$}{\rm $c_{\varphi B}$} 
-{$+0.065$}{\rm $c_{c \varphi}$} 
-{$+0.061$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.033$}{\rm $c_{t \varphi}$} 
-{$-0.031$}{\rm $c_{b \varphi}$} 
-{$-0.027$}{\rm $c_{\varphi t}$} 
-{$+0.025$}{\rm $c_{qt}^{1}$} 
-{$+0.023$}{\rm $c_{qu}^{1}$} 
-{$+0.022$}{\rm $c_{qt}^{8}$} 
-{$-0.020$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.017$}{\rm $c_{qq}^{8,3}$} 
-{$-0.016$}{\rm $c_{tZ}$} 
-{$-0.014$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.818$}{\rm $c_{\varphi D}$}
+{$-0.380$}{\rm $c_{\varphi WB}$}
+{$-0.284$}{\rm $c_{\varphi W}$}
+{$-0.216$}{\rm $c_{WWW}$}
+{$-0.171$}{\rm $c_{\varphi \Box}$}
+{$-0.125$}{\rm $c_{\varphi B}$}
+{$+0.065$}{\rm $c_{c \varphi}$}
+{$+0.061$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.033$}{\rm $c_{t \varphi}$}
+{$-0.031$}{\rm $c_{b \varphi}$}
+{$-0.027$}{\rm $c_{\varphi t}$}
+{$+0.025$}{\rm $c_{qt}^{1}$}
+{$+0.023$}{\rm $c_{qu}^{1}$}
+{$+0.022$}{\rm $c_{qt}^{8}$}
+{$-0.020$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.017$}{\rm $c_{qq}^{8,3}$}
+{$-0.016$}{\rm $c_{tZ}$}
+{$-0.014$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC16} (1.73e+00):}}
-{$+0.727$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.447$}{\rm $c_{\varphi t}$} 
-{$-0.295$}{\rm $c_{qu}^{8}$} 
-{$-0.226$}{\rm $c_{qq}^{8,3}$} 
-{$-0.207$}{\rm $c_{qd}^{8}$} 
-{$+0.147$}{\rm $c_{qt}^{8}$} 
-{$+0.130$}{\rm $c_{qq}^{1,8}$} 
-{$-0.123$}{\rm $c_{dt}^{8}$} 
-{$-0.120$}{\rm $c_{ut}^{8}$} 
-{$+0.096$}{\rm $c_{tZ}$} 
-{$-0.065$}{\rm $c_{\varphi D}$} 
-{$-0.049$}{\rm $c_{WWW}$} 
-{$-0.045$}{\rm $c_{qq}^{1,1}$} 
-{$+0.033$}{\rm $c_{qt}^{1}$} 
-{$+0.032$}{\rm $c_{\varphi WB}$} 
-{$+0.024$}{\rm $c_{\varphi W}$} 
-{$+0.023$}{\rm $c_{qd}^{1}$} 
-{$+0.022$}{\rm $c_{\varphi \Box}$} 
-{$+0.018$}{\rm $c_{t \varphi}$} 
-{$+0.017$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.017$}{\rm $c_{\varphi B}$} 
-{$+0.013$}{\rm $c_{tG}$} 
-{$-0.013$}{\rm $c_{dt}^{1}$} 
-{$-0.011$}{\rm $c_{ut}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.727$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.447$}{\rm $c_{\varphi t}$}
+{$-0.295$}{\rm $c_{qu}^{8}$}
+{$-0.226$}{\rm $c_{qq}^{8,3}$}
+{$-0.207$}{\rm $c_{qd}^{8}$}
+{$+0.147$}{\rm $c_{qt}^{8}$}
+{$+0.130$}{\rm $c_{qq}^{1,8}$}
+{$-0.123$}{\rm $c_{dt}^{8}$}
+{$-0.120$}{\rm $c_{ut}^{8}$}
+{$+0.096$}{\rm $c_{tZ}$}
+{$-0.065$}{\rm $c_{\varphi D}$}
+{$-0.049$}{\rm $c_{WWW}$}
+{$-0.045$}{\rm $c_{qq}^{1,1}$}
+{$+0.033$}{\rm $c_{qt}^{1}$}
+{$+0.032$}{\rm $c_{\varphi WB}$}
+{$+0.024$}{\rm $c_{\varphi W}$}
+{$+0.023$}{\rm $c_{qd}^{1}$}
+{$+0.022$}{\rm $c_{\varphi \Box}$}
+{$+0.018$}{\rm $c_{t \varphi}$}
+{$+0.017$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.017$}{\rm $c_{\varphi B}$}
+{$+0.013$}{\rm $c_{tG}$}
+{$-0.013$}{\rm $c_{dt}^{1}$}
+{$-0.011$}{\rm $c_{ut}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC17} (7.86e-01):}}
-{$-0.522$}{\rm $c_{qt}^{8}$} 
-{$-0.439$}{\rm $c_{qt}^{1}$} 
-{$+0.360$}{\rm $c_{qq}^{1,8}$} 
-{$-0.313$}{\rm $c_{qu}^{1}$} 
-{$-0.285$}{\rm $c_{qq}^{1,1}$} 
-{$-0.230$}{\rm $c_{ut}^{8}$} 
-{$+0.214$}{\rm $c_{qd}^{8}$} 
-{$-0.203$}{\rm $c_{qq}^{8,3}$} 
-{$-0.168$}{\rm $c_{ut}^{1}$} 
-{$+0.128$}{\rm $c_{t \varphi}$} 
-{$-0.126$}{\rm $c_{qd}^{1}$} 
-{$-0.085$}{\rm $c_{qu}^{8}$} 
-{$-0.075$}{\rm $c_{dt}^{1}$} 
-{$-0.063$}{\rm $c_{\varphi \Box}$} 
-{$-0.048$}{\rm $c_{dt}^{8}$} 
-{$-0.041$}{\rm $c_{WWW}$} 
-{$+0.037$}{\rm $c_{\varphi t}$} 
-{$+0.034$}{\rm $c_{tt}^{1}$} 
-{$-0.024$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.019$}{\rm $c_{Qt}^{8}$} 
-{$+0.017$}{\rm $c_{QQ}^{1}$} 
-{$+0.013$}{\rm $c_{tG}$} 
-{$+0.013$}{\rm $c_{\varphi Q}^{3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.522$}{\rm $c_{qt}^{8}$}
+{$-0.439$}{\rm $c_{qt}^{1}$}
+{$+0.360$}{\rm $c_{qq}^{1,8}$}
+{$-0.313$}{\rm $c_{qu}^{1}$}
+{$-0.285$}{\rm $c_{qq}^{1,1}$}
+{$-0.230$}{\rm $c_{ut}^{8}$}
+{$+0.214$}{\rm $c_{qd}^{8}$}
+{$-0.203$}{\rm $c_{qq}^{8,3}$}
+{$-0.168$}{\rm $c_{ut}^{1}$}
+{$+0.128$}{\rm $c_{t \varphi}$}
+{$-0.126$}{\rm $c_{qd}^{1}$}
+{$-0.085$}{\rm $c_{qu}^{8}$}
+{$-0.075$}{\rm $c_{dt}^{1}$}
+{$-0.063$}{\rm $c_{\varphi \Box}$}
+{$-0.048$}{\rm $c_{dt}^{8}$}
+{$-0.041$}{\rm $c_{WWW}$}
+{$+0.037$}{\rm $c_{\varphi t}$}
+{$+0.034$}{\rm $c_{tt}^{1}$}
+{$-0.024$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.019$}{\rm $c_{Qt}^{8}$}
+{$+0.017$}{\rm $c_{QQ}^{1}$}
+{$+0.013$}{\rm $c_{tG}$}
+{$+0.013$}{\rm $c_{\varphi Q}^{3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC18} (6.11e-01):}}
-{$-0.820$}{\rm $c_{\varphi \Box}$} 
-{$+0.444$}{\rm $c_{t \varphi}$} 
-{$-0.176$}{\rm $c_{qd}^{8}$} 
-{$-0.163$}{\rm $c_{qu}^{8}$} 
-{$-0.109$}{\rm $c_{\varphi D}$} 
-{$-0.109$}{\rm $c_{qq}^{1,8}$} 
-{$+0.103$}{\rm $c_{ut}^{8}$} 
-{$-0.078$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.076$}{\rm $c_{qt}^{8}$} 
-{$-0.073$}{\rm $c_{qu}^{1}$} 
-{$-0.069$}{\rm $c_{qq}^{8,3}$} 
-{$+0.058$}{\rm $c_{\varphi t}$} 
-{$+0.058$}{\rm $c_{qq}^{1,1}$} 
-{$+0.052$}{\rm $c_{c \varphi}$} 
-{$+0.050$}{\rm $c_{\varphi WB}$} 
-{$+0.045$}{\rm $c_{\varphi W}$} 
-{$+0.040$}{\rm $c_{ut}^{1}$} 
-{$+0.022$}{\rm $c_{dt}^{1}$} 
-{$+0.016$}{\rm $c_{\varphi B}$} 
-{$+0.011$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.820$}{\rm $c_{\varphi \Box}$}
+{$+0.444$}{\rm $c_{t \varphi}$}
+{$-0.176$}{\rm $c_{qd}^{8}$}
+{$-0.163$}{\rm $c_{qu}^{8}$}
+{$-0.109$}{\rm $c_{\varphi D}$}
+{$-0.109$}{\rm $c_{qq}^{1,8}$}
+{$+0.103$}{\rm $c_{ut}^{8}$}
+{$-0.078$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.076$}{\rm $c_{qt}^{8}$}
+{$-0.073$}{\rm $c_{qu}^{1}$}
+{$-0.069$}{\rm $c_{qq}^{8,3}$}
+{$+0.058$}{\rm $c_{\varphi t}$}
+{$+0.058$}{\rm $c_{qq}^{1,1}$}
+{$+0.052$}{\rm $c_{c \varphi}$}
+{$+0.050$}{\rm $c_{\varphi WB}$}
+{$+0.045$}{\rm $c_{\varphi W}$}
+{$+0.040$}{\rm $c_{ut}^{1}$}
+{$+0.022$}{\rm $c_{dt}^{1}$}
+{$+0.016$}{\rm $c_{\varphi B}$}
+{$+0.011$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC19} (4.95e-01):}}
-{$+0.458$}{\rm $c_{qd}^{8}$} 
-{$-0.427$}{\rm $c_{ut}^{8}$} 
-{$+0.412$}{\rm $c_{qu}^{8}$} 
-{$+0.365$}{\rm $c_{qq}^{1,1}$} 
-{$-0.286$}{\rm $c_{\varphi \Box}$} 
-{$+0.238$}{\rm $c_{qu}^{1}$} 
-{$+0.203$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.195$}{\rm $c_{ut}^{1}$} 
-{$+0.163$}{\rm $c_{qq}^{1,8}$} 
-{$-0.133$}{\rm $c_{\varphi t}$} 
-{$+0.121$}{\rm $c_{qq}^{8,3}$} 
-{$+0.087$}{\rm $c_{dt}^{1}$} 
-{$-0.087$}{\rm $c_{qt}^{8}$} 
-{$-0.058$}{\rm $c_{\varphi D}$} 
-{$+0.056$}{\rm $c_{qt}^{1}$} 
-{$-0.041$}{\rm $c_{tt}^{1}$} 
-{$+0.030$}{\rm $c_{\varphi W}$} 
-{$+0.027$}{\rm $c_{\varphi WB}$} 
-{$-0.024$}{\rm $c_{Qt}^{8}$} 
-{$+0.022$}{\rm $c_{tZ}$} 
-{$+0.021$}{\rm $c_{WWW}$} 
-{$-0.021$}{\rm $c_{t \varphi}$} 
-{$-0.020$}{\rm $c_{QQ}^{1}$} 
-{$+0.020$}{\rm $c_{dt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.458$}{\rm $c_{qd}^{8}$}
+{$-0.427$}{\rm $c_{ut}^{8}$}
+{$+0.412$}{\rm $c_{qu}^{8}$}
+{$+0.365$}{\rm $c_{qq}^{1,1}$}
+{$-0.286$}{\rm $c_{\varphi \Box}$}
+{$+0.238$}{\rm $c_{qu}^{1}$}
+{$+0.203$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.195$}{\rm $c_{ut}^{1}$}
+{$+0.163$}{\rm $c_{qq}^{1,8}$}
+{$-0.133$}{\rm $c_{\varphi t}$}
+{$+0.121$}{\rm $c_{qq}^{8,3}$}
+{$+0.087$}{\rm $c_{dt}^{1}$}
+{$-0.087$}{\rm $c_{qt}^{8}$}
+{$-0.058$}{\rm $c_{\varphi D}$}
+{$+0.056$}{\rm $c_{qt}^{1}$}
+{$-0.041$}{\rm $c_{tt}^{1}$}
+{$+0.030$}{\rm $c_{\varphi W}$}
+{$+0.027$}{\rm $c_{\varphi WB}$}
+{$-0.024$}{\rm $c_{Qt}^{8}$}
+{$+0.022$}{\rm $c_{tZ}$}
+{$+0.021$}{\rm $c_{WWW}$}
+{$-0.021$}{\rm $c_{t \varphi}$}
+{$-0.020$}{\rm $c_{QQ}^{1}$}
+{$+0.020$}{\rm $c_{dt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC20} (2.47e-01):}}
-{$+0.576$}{\rm $c_{t \varphi}$} 
-{$+0.428$}{\rm $c_{qq}^{1,1}$} 
-{$+0.403$}{\rm $c_{\varphi \Box}$} 
-{$-0.347$}{\rm $c_{qq}^{8,3}$} 
-{$+0.271$}{\rm $c_{ut}^{1}$} 
-{$-0.172$}{\rm $c_{tt}^{1}$} 
-{$-0.123$}{\rm $c_{qu}^{1}$} 
-{$+0.123$}{\rm $c_{dt}^{1}$} 
-{$-0.101$}{\rm $c_{qq}^{1,8}$} 
-{$-0.098$}{\rm $c_{Qt}^{8}$} 
-{$-0.093$}{\rm $c_{qu}^{8}$} 
-{$-0.085$}{\rm $c_{QQ}^{1}$} 
-{$+0.078$}{\rm $c_{\varphi D}$} 
-{$+0.073$}{\rm $c_{\varphi t}$} 
-{$-0.073$}{\rm $c_{ut}^{8}$} 
-{$-0.056$}{\rm $c_{qt}^{8}$} 
-{$+0.055$}{\rm $c_{dt}^{8}$} 
-{$-0.049$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.049$}{\rm $c_{\varphi W}$} 
-{$+0.036$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.036$}{\rm $c_{\varphi WB}$} 
-{$-0.029$}{\rm $c_{QQ}^{8}$} 
-{$+0.028$}{\rm $c_{qd}^{8}$} 
-{$-0.025$}{\rm $c_{qd}^{1}$} 
-{$+0.015$}{\rm $c_{tG}$} 
-{$-0.014$}{\rm $c_{tZ}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.576$}{\rm $c_{t \varphi}$}
+{$+0.428$}{\rm $c_{qq}^{1,1}$}
+{$+0.403$}{\rm $c_{\varphi \Box}$}
+{$-0.347$}{\rm $c_{qq}^{8,3}$}
+{$+0.271$}{\rm $c_{ut}^{1}$}
+{$-0.172$}{\rm $c_{tt}^{1}$}
+{$-0.123$}{\rm $c_{qu}^{1}$}
+{$+0.123$}{\rm $c_{dt}^{1}$}
+{$-0.101$}{\rm $c_{qq}^{1,8}$}
+{$-0.098$}{\rm $c_{Qt}^{8}$}
+{$-0.093$}{\rm $c_{qu}^{8}$}
+{$-0.085$}{\rm $c_{QQ}^{1}$}
+{$+0.078$}{\rm $c_{\varphi D}$}
+{$+0.073$}{\rm $c_{\varphi t}$}
+{$-0.073$}{\rm $c_{ut}^{8}$}
+{$-0.056$}{\rm $c_{qt}^{8}$}
+{$+0.055$}{\rm $c_{dt}^{8}$}
+{$-0.049$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.049$}{\rm $c_{\varphi W}$}
+{$+0.036$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.036$}{\rm $c_{\varphi WB}$}
+{$-0.029$}{\rm $c_{QQ}^{8}$}
+{$+0.028$}{\rm $c_{qd}^{8}$}
+{$-0.025$}{\rm $c_{qd}^{1}$}
+{$+0.015$}{\rm $c_{tG}$}
+{$-0.014$}{\rm $c_{tZ}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC21} (1.74e-01):}}
-{$-0.652$}{\rm $c_{qq}^{8,3}$} 
-{$-0.539$}{\rm $c_{t \varphi}$} 
-{$+0.256$}{\rm $c_{ut}^{8}$} 
-{$-0.192$}{\rm $c_{\varphi \Box}$} 
-{$+0.166$}{\rm $c_{ut}^{1}$} 
-{$-0.159$}{\rm $c_{qt}^{8}$} 
-{$+0.149$}{\rm $c_{\varphi t}$} 
-{$+0.142$}{\rm $c_{qq}^{1,1}$} 
-{$-0.122$}{\rm $c_{qq}^{1,8}$} 
-{$-0.120$}{\rm $c_{qu}^{1}$} 
-{$+0.112$}{\rm $c_{dt}^{8}$} 
-{$+0.093$}{\rm $c_{qd}^{8}$} 
-{$-0.088$}{\rm $c_{tt}^{1}$} 
-{$+0.070$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.069$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.062$}{\rm $c_{qd}^{1}$} 
-{$+0.054$}{\rm $c_{qt}^{1}$} 
-{$-0.051$}{\rm $c_{Qt}^{8}$} 
-{$+0.046$}{\rm $c_{dt}^{1}$} 
-{$+0.044$}{\rm $c_{qu}^{8}$} 
-{$-0.043$}{\rm $c_{\varphi D}$} 
-{$-0.043$}{\rm $c_{QQ}^{1}$} 
-{$+0.026$}{\rm $c_{\varphi W}$} 
-{$-0.022$}{\rm $c_{tZ}$} 
-{$+0.020$}{\rm $c_{\varphi WB}$} 
-{$-0.016$}{\rm $c_{QQ}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.652$}{\rm $c_{qq}^{8,3}$}
+{$-0.539$}{\rm $c_{t \varphi}$}
+{$+0.256$}{\rm $c_{ut}^{8}$}
+{$-0.192$}{\rm $c_{\varphi \Box}$}
+{$+0.166$}{\rm $c_{ut}^{1}$}
+{$-0.159$}{\rm $c_{qt}^{8}$}
+{$+0.149$}{\rm $c_{\varphi t}$}
+{$+0.142$}{\rm $c_{qq}^{1,1}$}
+{$-0.122$}{\rm $c_{qq}^{1,8}$}
+{$-0.120$}{\rm $c_{qu}^{1}$}
+{$+0.112$}{\rm $c_{dt}^{8}$}
+{$+0.093$}{\rm $c_{qd}^{8}$}
+{$-0.088$}{\rm $c_{tt}^{1}$}
+{$+0.070$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.069$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.062$}{\rm $c_{qd}^{1}$}
+{$+0.054$}{\rm $c_{qt}^{1}$}
+{$-0.051$}{\rm $c_{Qt}^{8}$}
+{$+0.046$}{\rm $c_{dt}^{1}$}
+{$+0.044$}{\rm $c_{qu}^{8}$}
+{$-0.043$}{\rm $c_{\varphi D}$}
+{$-0.043$}{\rm $c_{QQ}^{1}$}
+{$+0.026$}{\rm $c_{\varphi W}$}
+{$-0.022$}{\rm $c_{tZ}$}
+{$+0.020$}{\rm $c_{\varphi WB}$}
+{$-0.016$}{\rm $c_{QQ}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC22} (8.42e-02):}}
-{$-0.432$}{\rm $c_{tt}^{1}$} 
-{$-0.376$}{\rm $c_{qu}^{8}$} 
-{$-0.354$}{\rm $c_{qu}^{1}$} 
-{$-0.346$}{\rm $c_{ut}^{8}$} 
-{$-0.336$}{\rm $c_{t \varphi}$} 
-{$+0.274$}{\rm $c_{qq}^{8,3}$} 
-{$-0.244$}{\rm $c_{Qt}^{8}$} 
-{$-0.212$}{\rm $c_{QQ}^{1}$} 
-{$-0.194$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.162$}{\rm $c_{qq}^{1,1}$} 
-{$+0.129$}{\rm $c_{dt}^{1}$} 
-{$-0.114$}{\rm $c_{qd}^{8}$} 
-{$-0.083$}{\rm $c_{qd}^{1}$} 
-{$-0.083$}{\rm $c_{\varphi \Box}$} 
-{$+0.080$}{\rm $c_{ut}^{1}$} 
-{$-0.072$}{\rm $c_{dt}^{8}$} 
-{$-0.072$}{\rm $c_{QQ}^{8}$} 
-{$+0.065$}{\rm $c_{qt}^{8}$} 
-{$+0.048$}{\rm $c_{tZ}$} 
-{$-0.033$}{\rm $c_{\varphi t}$} 
-{$-0.033$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.029$}{\rm $c_{qq}^{1,8}$} 
-{$+0.014$}{\rm $c_{qt}^{1}$} 
-{$+0.014$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.432$}{\rm $c_{tt}^{1}$}
+{$-0.376$}{\rm $c_{qu}^{8}$}
+{$-0.354$}{\rm $c_{qu}^{1}$}
+{$-0.346$}{\rm $c_{ut}^{8}$}
+{$-0.336$}{\rm $c_{t \varphi}$}
+{$+0.274$}{\rm $c_{qq}^{8,3}$}
+{$-0.244$}{\rm $c_{Qt}^{8}$}
+{$-0.212$}{\rm $c_{QQ}^{1}$}
+{$-0.194$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.162$}{\rm $c_{qq}^{1,1}$}
+{$+0.129$}{\rm $c_{dt}^{1}$}
+{$-0.114$}{\rm $c_{qd}^{8}$}
+{$-0.083$}{\rm $c_{qd}^{1}$}
+{$-0.083$}{\rm $c_{\varphi \Box}$}
+{$+0.080$}{\rm $c_{ut}^{1}$}
+{$-0.072$}{\rm $c_{dt}^{8}$}
+{$-0.072$}{\rm $c_{QQ}^{8}$}
+{$+0.065$}{\rm $c_{qt}^{8}$}
+{$+0.048$}{\rm $c_{tZ}$}
+{$-0.033$}{\rm $c_{\varphi t}$}
+{$-0.033$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.029$}{\rm $c_{qq}^{1,8}$}
+{$+0.014$}{\rm $c_{qt}^{1}$}
+{$+0.014$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC23} (7.41e-02):}}
-{$+0.611$}{\rm $c_{tt}^{1}$} 
-{$+0.345$}{\rm $c_{Qt}^{8}$} 
-{$+0.300$}{\rm $c_{QQ}^{1}$} 
-{$-0.287$}{\rm $c_{qu}^{1}$} 
-{$+0.279$}{\rm $c_{qq}^{1,1}$} 
-{$-0.229$}{\rm $c_{ut}^{8}$} 
-{$-0.219$}{\rm $c_{qu}^{8}$} 
-{$-0.174$}{\rm $c_{tZ}$} 
-{$-0.172$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.150$}{\rm $c_{t \varphi}$} 
-{$+0.138$}{\rm $c_{ut}^{1}$} 
-{$-0.134$}{\rm $c_{\varphi t}$} 
-{$+0.105$}{\rm $c_{qt}^{1}$} 
-{$+0.101$}{\rm $c_{QQ}^{8}$} 
-{$+0.088$}{\rm $c_{dt}^{1}$} 
-{$-0.077$}{\rm $c_{qd}^{1}$} 
-{$-0.029$}{\rm $c_{qq}^{1,8}$} 
-{$-0.028$}{\rm $c_{qd}^{8}$} 
-{$+0.026$}{\rm $c_{dt}^{8}$} 
-{$+0.019$}{\rm $c_{qt}^{8}$} 
-{$+0.015$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.611$}{\rm $c_{tt}^{1}$}
+{$+0.345$}{\rm $c_{Qt}^{8}$}
+{$+0.300$}{\rm $c_{QQ}^{1}$}
+{$-0.287$}{\rm $c_{qu}^{1}$}
+{$+0.279$}{\rm $c_{qq}^{1,1}$}
+{$-0.229$}{\rm $c_{ut}^{8}$}
+{$-0.219$}{\rm $c_{qu}^{8}$}
+{$-0.174$}{\rm $c_{tZ}$}
+{$-0.172$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.150$}{\rm $c_{t \varphi}$}
+{$+0.138$}{\rm $c_{ut}^{1}$}
+{$-0.134$}{\rm $c_{\varphi t}$}
+{$+0.105$}{\rm $c_{qt}^{1}$}
+{$+0.101$}{\rm $c_{QQ}^{8}$}
+{$+0.088$}{\rm $c_{dt}^{1}$}
+{$-0.077$}{\rm $c_{qd}^{1}$}
+{$-0.029$}{\rm $c_{qq}^{1,8}$}
+{$-0.028$}{\rm $c_{qd}^{8}$}
+{$+0.026$}{\rm $c_{dt}^{8}$}
+{$+0.019$}{\rm $c_{qt}^{8}$}
+{$+0.015$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC24} (4.57e-02):}}
-{$+0.508$}{\rm $c_{dt}^{8}$} 
-{$+0.501$}{\rm $c_{qu}^{1}$} 
-{$-0.456$}{\rm $c_{qt}^{1}$} 
-{$-0.264$}{\rm $c_{qu}^{8}$} 
-{$-0.258$}{\rm $c_{qd}^{1}$} 
-{$+0.176$}{\rm $c_{qq}^{1,1}$} 
-{$-0.169$}{\rm $c_{ut}^{8}$} 
-{$-0.159$}{\rm $c_{qd}^{8}$} 
-{$-0.148$}{\rm $c_{dt}^{1}$} 
-{$-0.113$}{\rm $c_{t \varphi}$} 
-{$-0.082$}{\rm $c_{ut}^{1}$} 
-{$-0.068$}{\rm $c_{tZ}$} 
-{$-0.064$}{\rm $c_{qq}^{1,8}$} 
-{$-0.061$}{\rm $c_{qq}^{8,3}$} 
-{$+0.060$}{\rm $c_{qt}^{8}$} 
-{$+0.057$}{\rm $c_{\varphi t}$} 
-{$-0.025$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.010$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.508$}{\rm $c_{dt}^{8}$}
+{$+0.501$}{\rm $c_{qu}^{1}$}
+{$-0.456$}{\rm $c_{qt}^{1}$}
+{$-0.264$}{\rm $c_{qu}^{8}$}
+{$-0.258$}{\rm $c_{qd}^{1}$}
+{$+0.176$}{\rm $c_{qq}^{1,1}$}
+{$-0.169$}{\rm $c_{ut}^{8}$}
+{$-0.159$}{\rm $c_{qd}^{8}$}
+{$-0.148$}{\rm $c_{dt}^{1}$}
+{$-0.113$}{\rm $c_{t \varphi}$}
+{$-0.082$}{\rm $c_{ut}^{1}$}
+{$-0.068$}{\rm $c_{tZ}$}
+{$-0.064$}{\rm $c_{qq}^{1,8}$}
+{$-0.061$}{\rm $c_{qq}^{8,3}$}
+{$+0.060$}{\rm $c_{qt}^{8}$}
+{$+0.057$}{\rm $c_{\varphi t}$}
+{$-0.025$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.010$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC25} (3.12e-02):}}
-{$+0.847$}{\rm $c_{tZ}$} 
-{$+0.307$}{\rm $c_{\varphi t}$} 
-{$-0.199$}{\rm $c_{ut}^{1}$} 
-{$+0.172$}{\rm $c_{qq}^{1,1}$} 
-{$-0.147$}{\rm $c_{qd}^{1}$} 
-{$+0.145$}{\rm $c_{qt}^{1}$} 
-{$+0.124$}{\rm $c_{tt}^{1}$} 
-{$-0.107$}{\rm $c_{qu}^{1}$} 
-{$-0.107$}{\rm $c_{dt}^{1}$} 
-{$+0.092$}{\rm $c_{dt}^{8}$} 
-{$+0.078$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.078$}{\rm $c_{ut}^{8}$} 
-{$-0.073$}{\rm $c_{qd}^{8}$} 
-{$+0.065$}{\rm $c_{Qt}^{8}$} 
-{$+0.061$}{\rm $c_{QQ}^{1}$} 
-{$+0.038$}{\rm $c_{qu}^{8}$} 
-{$+0.037$}{\rm $c_{\varphi B}$} 
-{$+0.025$}{\rm $c_{\varphi D}$} 
-{$+0.015$}{\rm $c_{QQ}^{8}$} 
-{$+0.012$}{\rm $c_{qq}^{1,8}$} 
-{$-0.012$}{\rm $c_{t \varphi}$} 
-{$-0.011$}{\rm $c_{\varphi WB}$} 
-{$+0.011$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.847$}{\rm $c_{tZ}$}
+{$+0.307$}{\rm $c_{\varphi t}$}
+{$-0.199$}{\rm $c_{ut}^{1}$}
+{$+0.172$}{\rm $c_{qq}^{1,1}$}
+{$-0.147$}{\rm $c_{qd}^{1}$}
+{$+0.145$}{\rm $c_{qt}^{1}$}
+{$+0.124$}{\rm $c_{tt}^{1}$}
+{$-0.107$}{\rm $c_{qu}^{1}$}
+{$-0.107$}{\rm $c_{dt}^{1}$}
+{$+0.092$}{\rm $c_{dt}^{8}$}
+{$+0.078$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.078$}{\rm $c_{ut}^{8}$}
+{$-0.073$}{\rm $c_{qd}^{8}$}
+{$+0.065$}{\rm $c_{Qt}^{8}$}
+{$+0.061$}{\rm $c_{QQ}^{1}$}
+{$+0.038$}{\rm $c_{qu}^{8}$}
+{$+0.037$}{\rm $c_{\varphi B}$}
+{$+0.025$}{\rm $c_{\varphi D}$}
+{$+0.015$}{\rm $c_{QQ}^{8}$}
+{$+0.012$}{\rm $c_{qq}^{1,8}$}
+{$-0.012$}{\rm $c_{t \varphi}$}
+{$-0.011$}{\rm $c_{\varphi WB}$}
+{$+0.011$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC26} (2.63e-02):}}
-{$-0.509$}{\rm $c_{\varphi t}$} 
-{$+0.423$}{\rm $c_{tZ}$} 
-{$-0.395$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.372$}{\rm $c_{qd}^{1}$} 
-{$-0.322$}{\rm $c_{qt}^{1}$} 
-{$-0.191$}{\rm $c_{dt}^{8}$} 
-{$+0.182$}{\rm $c_{ut}^{1}$} 
-{$+0.170$}{\rm $c_{qu}^{1}$} 
-{$+0.132$}{\rm $c_{ut}^{8}$} 
-{$+0.118$}{\rm $c_{qd}^{8}$} 
-{$-0.105$}{\rm $c_{qu}^{8}$} 
-{$-0.093$}{\rm $c_{dt}^{1}$} 
-{$-0.077$}{\rm $c_{qq}^{8,3}$} 
-{$+0.058$}{\rm $c_{qq}^{1,1}$} 
-{$-0.042$}{\rm $c_{t \varphi}$} 
-{$-0.040$}{\rm $c_{qq}^{1,8}$} 
-{$+0.025$}{\rm $c_{tt}^{1}$} 
-{$+0.017$}{\rm $c_{\varphi B}$} 
-{$+0.017$}{\rm $c_{\varphi D}$} 
-{$+0.014$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.012$}{\rm $c_{QQ}^{1}$} 
-{$+0.012$}{\rm $c_{Qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.509$}{\rm $c_{\varphi t}$}
+{$+0.423$}{\rm $c_{tZ}$}
+{$-0.395$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.372$}{\rm $c_{qd}^{1}$}
+{$-0.322$}{\rm $c_{qt}^{1}$}
+{$-0.191$}{\rm $c_{dt}^{8}$}
+{$+0.182$}{\rm $c_{ut}^{1}$}
+{$+0.170$}{\rm $c_{qu}^{1}$}
+{$+0.132$}{\rm $c_{ut}^{8}$}
+{$+0.118$}{\rm $c_{qd}^{8}$}
+{$-0.105$}{\rm $c_{qu}^{8}$}
+{$-0.093$}{\rm $c_{dt}^{1}$}
+{$-0.077$}{\rm $c_{qq}^{8,3}$}
+{$+0.058$}{\rm $c_{qq}^{1,1}$}
+{$-0.042$}{\rm $c_{t \varphi}$}
+{$-0.040$}{\rm $c_{qq}^{1,8}$}
+{$+0.025$}{\rm $c_{tt}^{1}$}
+{$+0.017$}{\rm $c_{\varphi B}$}
+{$+0.017$}{\rm $c_{\varphi D}$}
+{$+0.014$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.012$}{\rm $c_{QQ}^{1}$}
+{$+0.012$}{\rm $c_{Qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC27} (2.50e-02):}}
-{$-0.545$}{\rm $c_{ut}^{1}$} 
-{$+0.538$}{\rm $c_{qq}^{1,1}$} 
-{$+0.376$}{\rm $c_{qd}^{1}$} 
-{$-0.318$}{\rm $c_{dt}^{1}$} 
-{$-0.268$}{\rm $c_{dt}^{8}$} 
-{$-0.215$}{\rm $c_{tZ}$} 
-{$-0.141$}{\rm $c_{qt}^{1}$} 
-{$+0.123$}{\rm $c_{\varphi t}$} 
-{$+0.078$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.066$}{\rm $c_{qu}^{1}$} 
-{$+0.050$}{\rm $c_{ut}^{8}$} 
-{$-0.043$}{\rm $c_{qd}^{8}$} 
-{$+0.034$}{\rm $c_{qq}^{8,3}$} 
-{$-0.033$}{\rm $c_{t \varphi}$} 
-{$+0.030$}{\rm $c_{qq}^{1,8}$} 
-{$-0.019$}{\rm $c_{qt}^{8}$} 
-{$-0.017$}{\rm $c_{tt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.545$}{\rm $c_{ut}^{1}$}
+{$+0.538$}{\rm $c_{qq}^{1,1}$}
+{$+0.376$}{\rm $c_{qd}^{1}$}
+{$-0.318$}{\rm $c_{dt}^{1}$}
+{$-0.268$}{\rm $c_{dt}^{8}$}
+{$-0.215$}{\rm $c_{tZ}$}
+{$-0.141$}{\rm $c_{qt}^{1}$}
+{$+0.123$}{\rm $c_{\varphi t}$}
+{$+0.078$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.066$}{\rm $c_{qu}^{1}$}
+{$+0.050$}{\rm $c_{ut}^{8}$}
+{$-0.043$}{\rm $c_{qd}^{8}$}
+{$+0.034$}{\rm $c_{qq}^{8,3}$}
+{$-0.033$}{\rm $c_{t \varphi}$}
+{$+0.030$}{\rm $c_{qq}^{1,8}$}
+{$-0.019$}{\rm $c_{qt}^{8}$}
+{$-0.017$}{\rm $c_{tt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC28} (1.44e-02):}}
-{$+0.501$}{\rm $c_{\varphi t}$} 
-{$-0.462$}{\rm $c_{dt}^{8}$} 
-{$-0.387$}{\rm $c_{qt}^{1}$} 
-{$+0.350$}{\rm $c_{ut}^{1}$} 
-{$+0.317$}{\rm $c_{dt}^{1}$} 
-{$+0.206$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.190$}{\rm $c_{qu}^{1}$} 
-{$-0.129$}{\rm $c_{qd}^{8}$} 
-{$+0.123$}{\rm $c_{qd}^{1}$} 
-{$+0.123$}{\rm $c_{tt}^{1}$} 
-{$+0.114$}{\rm $c_{qq}^{8,3}$} 
-{$-0.092$}{\rm $c_{qu}^{8}$} 
-{$-0.082$}{\rm $c_{t \varphi}$} 
-{$+0.060$}{\rm $c_{QQ}^{1}$} 
-{$+0.051$}{\rm $c_{Qt}^{8}$} 
-{$+0.046$}{\rm $c_{tZ}$} 
-{$+0.019$}{\rm $c_{qq}^{1,8}$} 
-{$-0.018$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.017$}{\rm $c_{\varphi \Box}$} 
-{$+0.014$}{\rm $c_{qt}^{8}$} 
-{$-0.010$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.501$}{\rm $c_{\varphi t}$}
+{$-0.462$}{\rm $c_{dt}^{8}$}
+{$-0.387$}{\rm $c_{qt}^{1}$}
+{$+0.350$}{\rm $c_{ut}^{1}$}
+{$+0.317$}{\rm $c_{dt}^{1}$}
+{$+0.206$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.190$}{\rm $c_{qu}^{1}$}
+{$-0.129$}{\rm $c_{qd}^{8}$}
+{$+0.123$}{\rm $c_{qd}^{1}$}
+{$+0.123$}{\rm $c_{tt}^{1}$}
+{$+0.114$}{\rm $c_{qq}^{8,3}$}
+{$-0.092$}{\rm $c_{qu}^{8}$}
+{$-0.082$}{\rm $c_{t \varphi}$}
+{$+0.060$}{\rm $c_{QQ}^{1}$}
+{$+0.051$}{\rm $c_{Qt}^{8}$}
+{$+0.046$}{\rm $c_{tZ}$}
+{$+0.019$}{\rm $c_{qq}^{1,8}$}
+{$-0.018$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.017$}{\rm $c_{\varphi \Box}$}
+{$+0.014$}{\rm $c_{qt}^{8}$}
+{$-0.010$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC29} (1.09e-02):}}
-{$+0.601$}{\rm $c_{dt}^{1}$} 
-{$-0.408$}{\rm $c_{qd}^{8}$} 
-{$-0.355$}{\rm $c_{ut}^{1}$} 
-{$+0.317$}{\rm $c_{qu}^{8}$} 
-{$-0.245$}{\rm $c_{\varphi t}$} 
-{$-0.229$}{\rm $c_{qd}^{1}$} 
-{$-0.171$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.149$}{\rm $c_{dt}^{8}$} 
-{$-0.147$}{\rm $c_{qq}^{8,3}$} 
-{$+0.133$}{\rm $c_{qq}^{1,1}$} 
-{$-0.131$}{\rm $c_{qt}^{8}$} 
-{$+0.115$}{\rm $c_{qu}^{1}$} 
-{$+0.072$}{\rm $c_{qq}^{1,8}$} 
-{$-0.058$}{\rm $c_{qt}^{1}$} 
-{$-0.036$}{\rm $c_{t \varphi}$} 
-{$-0.024$}{\rm $c_{tt}^{1}$} 
-{$+0.024$}{\rm $c_{tZ}$} 
-{$+0.017$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.016$}{\rm $c_{QQ}^{8}$} 
-{$-0.012$}{\rm $c_{QQ}^{1}$} 
-{$+0.011$}{\rm $c_{ut}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.601$}{\rm $c_{dt}^{1}$}
+{$-0.408$}{\rm $c_{qd}^{8}$}
+{$-0.355$}{\rm $c_{ut}^{1}$}
+{$+0.317$}{\rm $c_{qu}^{8}$}
+{$-0.245$}{\rm $c_{\varphi t}$}
+{$-0.229$}{\rm $c_{qd}^{1}$}
+{$-0.171$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.149$}{\rm $c_{dt}^{8}$}
+{$-0.147$}{\rm $c_{qq}^{8,3}$}
+{$+0.133$}{\rm $c_{qq}^{1,1}$}
+{$-0.131$}{\rm $c_{qt}^{8}$}
+{$+0.115$}{\rm $c_{qu}^{1}$}
+{$+0.072$}{\rm $c_{qq}^{1,8}$}
+{$-0.058$}{\rm $c_{qt}^{1}$}
+{$-0.036$}{\rm $c_{t \varphi}$}
+{$-0.024$}{\rm $c_{tt}^{1}$}
+{$+0.024$}{\rm $c_{tZ}$}
+{$+0.017$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.016$}{\rm $c_{QQ}^{8}$}
+{$-0.012$}{\rm $c_{QQ}^{1}$}
+{$+0.011$}{\rm $c_{ut}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC30} (6.11e-03):}}
-{$-0.569$}{\rm $c_{dt}^{1}$} 
-{$-0.441$}{\rm $c_{qd}^{1}$} 
-{$-0.365$}{\rm $c_{qd}^{8}$} 
-{$-0.343$}{\rm $c_{dt}^{8}$} 
-{$+0.330$}{\rm $c_{ut}^{1}$} 
-{$+0.268$}{\rm $c_{qu}^{8}$} 
-{$+0.100$}{\rm $c_{qq}^{1,1}$} 
-{$-0.099$}{\rm $c_{qt}^{8}$} 
-{$+0.083$}{\rm $c_{qq}^{1,8}$} 
-{$-0.078$}{\rm $c_{\varphi t}$} 
-{$-0.078$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.054$}{\rm $c_{tZ}$} 
-{$-0.052$}{\rm $c_{tt}^{1}$} 
-{$-0.051$}{\rm $c_{t \varphi}$} 
-{$+0.040$}{\rm $c_{QQ}^{8}$} 
-{$-0.030$}{\rm $c_{qq}^{8,3}$} 
-{$-0.025$}{\rm $c_{QQ}^{1}$} 
-{$+0.021$}{\rm $c_{ut}^{8}$} 
-{$+0.020$}{\rm $c_{Qt}^{8}$} 
-{$+0.012$}{\rm $c_{qu}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.569$}{\rm $c_{dt}^{1}$}
+{$-0.441$}{\rm $c_{qd}^{1}$}
+{$-0.365$}{\rm $c_{qd}^{8}$}
+{$-0.343$}{\rm $c_{dt}^{8}$}
+{$+0.330$}{\rm $c_{ut}^{1}$}
+{$+0.268$}{\rm $c_{qu}^{8}$}
+{$+0.100$}{\rm $c_{qq}^{1,1}$}
+{$-0.099$}{\rm $c_{qt}^{8}$}
+{$+0.083$}{\rm $c_{qq}^{1,8}$}
+{$-0.078$}{\rm $c_{\varphi t}$}
+{$-0.078$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.054$}{\rm $c_{tZ}$}
+{$-0.052$}{\rm $c_{tt}^{1}$}
+{$-0.051$}{\rm $c_{t \varphi}$}
+{$+0.040$}{\rm $c_{QQ}^{8}$}
+{$-0.030$}{\rm $c_{qq}^{8,3}$}
+{$-0.025$}{\rm $c_{QQ}^{1}$}
+{$+0.021$}{\rm $c_{ut}^{8}$}
+{$+0.020$}{\rm $c_{Qt}^{8}$}
+{$+0.012$}{\rm $c_{qu}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC31} (5.73e-03):}}
-{$-0.538$}{\rm $c_{qd}^{1}$} 
-{$+0.510$}{\rm $c_{qd}^{8}$} 
-{$-0.382$}{\rm $c_{dt}^{8}$} 
-{$-0.347$}{\rm $c_{qu}^{8}$} 
-{$+0.268$}{\rm $c_{ut}^{8}$} 
-{$-0.202$}{\rm $c_{ut}^{1}$} 
-{$+0.188$}{\rm $c_{qu}^{1}$} 
-{$+0.098$}{\rm $c_{qq}^{1,1}$} 
-{$+0.087$}{\rm $c_{qt}^{1}$} 
-{$-0.084$}{\rm $c_{qq}^{1,8}$} 
-{$+0.077$}{\rm $c_{qt}^{8}$} 
-{$+0.059$}{\rm $c_{dt}^{1}$} 
-{$-0.029$}{\rm $c_{\varphi t}$} 
-{$+0.026$}{\rm $c_{QQ}^{8}$} 
-{$-0.022$}{\rm $c_{qq}^{8,3}$} 
-{$-0.021$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.020$}{\rm $c_{Qt}^{8}$} 
-{$-0.019$}{\rm $c_{tt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.538$}{\rm $c_{qd}^{1}$}
+{$+0.510$}{\rm $c_{qd}^{8}$}
+{$-0.382$}{\rm $c_{dt}^{8}$}
+{$-0.347$}{\rm $c_{qu}^{8}$}
+{$+0.268$}{\rm $c_{ut}^{8}$}
+{$-0.202$}{\rm $c_{ut}^{1}$}
+{$+0.188$}{\rm $c_{qu}^{1}$}
+{$+0.098$}{\rm $c_{qq}^{1,1}$}
+{$+0.087$}{\rm $c_{qt}^{1}$}
+{$-0.084$}{\rm $c_{qq}^{1,8}$}
+{$+0.077$}{\rm $c_{qt}^{8}$}
+{$+0.059$}{\rm $c_{dt}^{1}$}
+{$-0.029$}{\rm $c_{\varphi t}$}
+{$+0.026$}{\rm $c_{QQ}^{8}$}
+{$-0.022$}{\rm $c_{qq}^{8,3}$}
+{$-0.021$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.020$}{\rm $c_{Qt}^{8}$}
+{$-0.019$}{\rm $c_{tt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC32} (9.18e-04):}}
-{$-0.701$}{\rm $c_{QQ}^{8}$} 
-{$-0.582$}{\rm $c_{Qt}^{8}$} 
-{$+0.354$}{\rm $c_{tt}^{1}$} 
-{$+0.164$}{\rm $c_{QQ}^{1}$} 
-{$-0.110$}{\rm $c_{Qt}^{1}$} 
-{$-0.056$}{\rm $c_{qd}^{1}$} 
-{$-0.033$}{\rm $c_{dt}^{8}$} 
-{$-0.026$}{\rm $c_{\varphi t}$} 
-{$-0.025$}{\rm $c_{dt}^{1}$} 
-{$+0.015$}{\rm $c_{qu}^{8}$} 
-{$-0.014$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.013$}{\rm $c_{ut}^{8}$} 
-{$+0.013$}{\rm $c_{qt}^{1}$} 
-{$+0.012$}{\rm $c_{qq}^{1,1}$} 
-{$-0.011$}{\rm $c_{tZ}$} 
-{$-0.011$}{\rm $c_{qd}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.701$}{\rm $c_{QQ}^{8}$}
+{$-0.582$}{\rm $c_{Qt}^{8}$}
+{$+0.354$}{\rm $c_{tt}^{1}$}
+{$+0.164$}{\rm $c_{QQ}^{1}$}
+{$-0.110$}{\rm $c_{Qt}^{1}$}
+{$-0.056$}{\rm $c_{qd}^{1}$}
+{$-0.033$}{\rm $c_{dt}^{8}$}
+{$-0.026$}{\rm $c_{\varphi t}$}
+{$-0.025$}{\rm $c_{dt}^{1}$}
+{$+0.015$}{\rm $c_{qu}^{8}$}
+{$-0.014$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.013$}{\rm $c_{ut}^{8}$}
+{$+0.013$}{\rm $c_{qt}^{1}$}
+{$+0.012$}{\rm $c_{qq}^{1,1}$}
+{$-0.011$}{\rm $c_{tZ}$}
+{$-0.011$}{\rm $c_{qd}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC33} (3.46e-11):}}
-{$-0.744$}{\rm $c_{Qt}^{1}$} 
-{$+0.547$}{\rm $c_{QQ}^{1}$} 
-{$+0.264$}{\rm $c_{QQ}^{8}$} 
-{$-0.228$}{\rm $c_{tt}^{1}$} 
-{$-0.161$}{\rm $c_{Qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.744$}{\rm $c_{Qt}^{1}$}
+{$+0.547$}{\rm $c_{QQ}^{1}$}
+{$+0.264$}{\rm $c_{QQ}^{8}$}
+{$-0.228$}{\rm $c_{tt}^{1}$}
+{$-0.161$}{\rm $c_{Qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC34} (3.46e-11):}}
-{$-0.720$}{\rm $c_{QQ}^{1}$} 
-{$-0.568$}{\rm $c_{Qt}^{1}$} 
-{$+0.360$}{\rm $c_{tt}^{1}$} 
-{$+0.158$}{\rm $c_{QQ}^{8}$} 
-{$-0.066$}{\rm $c_{Qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.720$}{\rm $c_{QQ}^{1}$}
+{$-0.568$}{\rm $c_{Qt}^{1}$}
+{$+0.360$}{\rm $c_{tt}^{1}$}
+{$+0.158$}{\rm $c_{QQ}^{8}$}
+{$-0.066$}{\rm $c_{Qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC35} (3.46e-11):}}
-{$-0.657$}{\rm $c_{Qt}^{8}$} 
-{$+0.629$}{\rm $c_{QQ}^{8}$} 
-{$+0.333$}{\rm $c_{Qt}^{1}$} 
-{$+0.242$}{\rm $c_{tt}^{1}$} 
-{$+0.057$}{\rm $c_{QQ}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.657$}{\rm $c_{Qt}^{8}$}
+{$+0.629$}{\rm $c_{QQ}^{8}$}
+{$+0.333$}{\rm $c_{Qt}^{1}$}
+{$+0.242$}{\rm $c_{tt}^{1}$}
+{$+0.057$}{\rm $c_{QQ}^{1}$}
+ \nonumber \\ \nonumber \\
 \end{document}
diff --git a/docs/source/_static/report_STXS_2020/index.html b/docs/source/_static/report_STXS_2020/index.html
index a71706d5..3b5bd46e 100644
--- a/docs/source/_static/report_STXS_2020/index.html
+++ b/docs/source/_static/report_STXS_2020/index.html
@@ -30,155 +30,155 @@
       <div class="one-half column">
         <nav class="menu docs-menu">
           <ul>
-            <li><a href=#Chi2>Chi2</a></li> 
-<li><a href=#Coefficients>Coefficients</a></li> 
-<li><a href=#Correlations>Correlations</a></li> 
+            <li><a href=#Chi2>Chi2</a></li>
+<li><a href=#Coefficients>Coefficients</a></li>
+<li><a href=#Correlations>Correlations</a></li>
 
           </ul>
         </nav>
       </div>
     </div>
 
-    
-        <div class='container'> 
 
-        <h2 id='Chi2'> Chi2</h2> 
+        <div class='container'>
 
-        <div class="three-fourth column markdown-body"> 
+        <h2 id='Chi2'> Chi2</h2>
 
-    </br> 
-<li><a href=meta/chi2_tables.html>Tables</a></li> 
+        <div class="three-fourth column markdown-body">
 
-        <div class="figiterwrapper"> 
+    </br>
+<li><a href=meta/chi2_tables.html>Tables</a></li>
 
-        <figure> 
+        <div class="figiterwrapper">
 
-        <img src="meta/chi2_bar.png"/> 
+        <figure>
 
-        <figcaption aria-hidden="true"> 
+        <img src="meta/chi2_bar.png"/>
 
-        <a href="meta/chi2_bar.png">.png</a> 
+        <figcaption aria-hidden="true">
 
-        <a href="meta/chi2_bar.pdf">.pdf</a> 
+        <a href="meta/chi2_bar.png">.png</a>
 
-        </figcaption> 
+        <a href="meta/chi2_bar.pdf">.pdf</a>
 
-        </figure> 
+        </figcaption>
 
-        </div> 
+        </figure>
 
-    
-        <div class="figiterwrapper"> 
+        </div>
 
-        <figure> 
 
-        <img src="meta/chi2_histo.png"/> 
+        <div class="figiterwrapper">
 
-        <figcaption aria-hidden="true"> 
+        <figure>
 
-        <a href="meta/chi2_histo.png">.png</a> 
+        <img src="meta/chi2_histo.png"/>
 
-        <a href="meta/chi2_histo.pdf">.pdf</a> 
+        <figcaption aria-hidden="true">
 
-        </figcaption> 
+        <a href="meta/chi2_histo.png">.png</a>
 
-        </figure> 
+        <a href="meta/chi2_histo.pdf">.pdf</a>
 
-        </div> 
+        </figcaption>
 
-    
-        <div class='container'> 
+        </figure>
 
-        <h2 id='Coefficients'> Coefficients</h2> 
+        </div>
 
-        <div class="three-fourth column markdown-body"> 
 
-    </br> 
-<li><a href=meta/coefficients_table.html>CL table</a></li> 
+        <div class='container'>
 
-        <div class="figiterwrapper"> 
+        <h2 id='Coefficients'> Coefficients</h2>
 
-        <figure> 
+        <div class="three-fourth column markdown-body">
 
-        <img src="meta/coefficient_central.png"/> 
+    </br>
+<li><a href=meta/coefficients_table.html>CL table</a></li>
 
-        <figcaption aria-hidden="true"> 
+        <div class="figiterwrapper">
 
-        <a href="meta/coefficient_central.png">.png</a> 
+        <figure>
 
-        <a href="meta/coefficient_central.pdf">.pdf</a> 
+        <img src="meta/coefficient_central.png"/>
 
-        </figcaption> 
+        <figcaption aria-hidden="true">
 
-        </figure> 
+        <a href="meta/coefficient_central.png">.png</a>
 
-        </div> 
+        <a href="meta/coefficient_central.pdf">.pdf</a>
 
-    
-        <div class="figiterwrapper"> 
+        </figcaption>
 
-        <figure> 
+        </figure>
 
-        <img src="meta/coefficient_bar.png"/> 
+        </div>
 
-        <figcaption aria-hidden="true"> 
 
-        <a href="meta/coefficient_bar.png">.png</a> 
+        <div class="figiterwrapper">
 
-        <a href="meta/coefficient_bar.pdf">.pdf</a> 
+        <figure>
 
-        </figcaption> 
+        <img src="meta/coefficient_bar.png"/>
 
-        </figure> 
+        <figcaption aria-hidden="true">
 
-        </div> 
+        <a href="meta/coefficient_bar.png">.png</a>
 
-    
-        <div class="figiterwrapper"> 
+        <a href="meta/coefficient_bar.pdf">.pdf</a>
 
-        <figure> 
+        </figcaption>
 
-        <img src="meta/coefficient_histo.png"/> 
+        </figure>
 
-        <figcaption aria-hidden="true"> 
+        </div>
 
-        <a href="meta/coefficient_histo.png">.png</a> 
 
-        <a href="meta/coefficient_histo.pdf">.pdf</a> 
+        <div class="figiterwrapper">
 
-        </figcaption> 
+        <figure>
 
-        </figure> 
+        <img src="meta/coefficient_histo.png"/>
 
-        </div> 
+        <figcaption aria-hidden="true">
 
-    
-        <div class='container'> 
+        <a href="meta/coefficient_histo.png">.png</a>
 
-        <h2 id='Correlations'> Correlations</h2> 
+        <a href="meta/coefficient_histo.pdf">.pdf</a>
 
-        <div class="three-fourth column markdown-body"> 
+        </figcaption>
 
-    
-        <div class="figiterwrapper"> 
+        </figure>
 
-        <figure> 
+        </div>
 
-        <img src="meta/correlations_STXS_2020_public.png"/> 
 
-        <figcaption aria-hidden="true"> 
+        <div class='container'>
 
-        <a href="meta/correlations_STXS_2020_public.png">.png</a> 
+        <h2 id='Correlations'> Correlations</h2>
 
-        <a href="meta/correlations_STXS_2020_public.pdf">.pdf</a> 
+        <div class="three-fourth column markdown-body">
 
-        </figcaption> 
 
-        </figure> 
+        <div class="figiterwrapper">
+
+        <figure>
+
+        <img src="meta/correlations_STXS_2020_public.png"/>
+
+        <figcaption aria-hidden="true">
+
+        <a href="meta/correlations_STXS_2020_public.png">.png</a>
+
+        <a href="meta/correlations_STXS_2020_public.pdf">.pdf</a>
+
+        </figcaption>
+
+        </figure>
+
+        </div>
 
-        </div> 
 
-    
 
 </body>
 </html>
diff --git a/docs/source/_static/report_STXS_2020/meta/pca_table_STXS_2020_public_release.tex b/docs/source/_static/report_STXS_2020/meta/pca_table_STXS_2020_public_release.tex
index 6c9d622a..bbed0cf4 100644
--- a/docs/source/_static/report_STXS_2020/meta/pca_table_STXS_2020_public_release.tex
+++ b/docs/source/_static/report_STXS_2020/meta/pca_table_STXS_2020_public_release.tex
@@ -20,372 +20,372 @@
 \begin{document}
 \noindent \underline{\bf{Principal Components Analysis}:} ATLAS, NS\\ \\ \\
 \noindent \textcolor{red}{\underline{\bf{PC00} (9.68e+05):}}
-{$+1.000$}{\rm $c_{HVV,Vff}^{[1]}$} 
- \nonumber \\ \nonumber \\ 
+{$+1.000$}{\rm $c_{HVV,Vff}^{[1]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC01} (3.98e+05):}}
-{$+0.767$}{\rm $c_{HG}$} 
-{$-0.637$}{\rm $c_{HVV,Vff}^{[2]}$} 
-{$+0.074$}{\rm $c_{bH}$} 
-{$+0.029$}{\rm $c_{tG}$} 
-{$-0.013$}{\rm $c_{W}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.767$}{\rm $c_{HG}$}
+{$-0.637$}{\rm $c_{HVV,Vff}^{[2]}$}
+{$+0.074$}{\rm $c_{bH}$}
+{$+0.029$}{\rm $c_{tG}$}
+{$-0.013$}{\rm $c_{W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC02} (1.66e+05):}}
-{$-0.770$}{\rm $c_{HVV,Vff}^{[2]}$} 
-{$-0.636$}{\rm $c_{HG}$} 
-{$-0.033$}{\rm $c_{bH}$} 
-{$-0.020$}{\rm $c_{tG}$} 
-{$+0.019$}{\rm $c_{HVV,Vff}^{[4]}$} 
-{$-0.015$}{\rm $c_{W}$} 
-{$+0.011$}{\rm $c_{HVV,Vff}^{[3]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.770$}{\rm $c_{HVV,Vff}^{[2]}$}
+{$-0.636$}{\rm $c_{HG}$}
+{$-0.033$}{\rm $c_{bH}$}
+{$-0.020$}{\rm $c_{tG}$}
+{$+0.019$}{\rm $c_{HVV,Vff}^{[4]}$}
+{$-0.015$}{\rm $c_{W}$}
+{$+0.011$}{\rm $c_{HVV,Vff}^{[3]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC03} (2.27e+04):}}
-{$-0.999$}{\rm $c_{HVV,Vff}^{[3]}$} 
-{$+0.039$}{\rm $c_{HVV,Vff}^{[4]}$} 
-{$+0.016$}{\rm $c_{HVV,Vff}^{[5]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.999$}{\rm $c_{HVV,Vff}^{[3]}$}
+{$+0.039$}{\rm $c_{HVV,Vff}^{[4]}$}
+{$+0.016$}{\rm $c_{HVV,Vff}^{[5]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC04} (1.09e+04):}}
-{$+0.999$}{\rm $c_{HVV,Vff}^{[4]}$} 
-{$+0.039$}{\rm $c_{HVV,Vff}^{[3]}$} 
-{$+0.025$}{\rm $c_{HVV,Vff}^{[5]}$} 
-{$+0.016$}{\rm $c_{HG}$} 
-{$+0.012$}{\rm $c_{HVV,Vff}^{[2]}$} 
-{$-0.011$}{\rm $c_{bH}$} 
-{$-0.010$}{\rm $c_{HVV,Vff}^{[7]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.999$}{\rm $c_{HVV,Vff}^{[4]}$}
+{$+0.039$}{\rm $c_{HVV,Vff}^{[3]}$}
+{$+0.025$}{\rm $c_{HVV,Vff}^{[5]}$}
+{$+0.016$}{\rm $c_{HG}$}
+{$+0.012$}{\rm $c_{HVV,Vff}^{[2]}$}
+{$-0.011$}{\rm $c_{bH}$}
+{$-0.010$}{\rm $c_{HVV,Vff}^{[7]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC05} (4.20e+03):}}
-{$+0.998$}{\rm $c_{HVV,Vff}^{[5]}$} 
-{$-0.047$}{\rm $c_{bH}$} 
-{$-0.026$}{\rm $c_{HVV,Vff}^{[4]}$} 
-{$-0.023$}{\rm $c_{HVV,Vff}^{[8]}$} 
-{$-0.015$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$+0.014$}{\rm $c_{HVV,Vff}^{[3]}$} 
-{$-0.014$}{\rm $c_{HVV,Vff}^{[6]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.998$}{\rm $c_{HVV,Vff}^{[5]}$}
+{$-0.047$}{\rm $c_{bH}$}
+{$-0.026$}{\rm $c_{HVV,Vff}^{[4]}$}
+{$-0.023$}{\rm $c_{HVV,Vff}^{[8]}$}
+{$-0.015$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$+0.014$}{\rm $c_{HVV,Vff}^{[3]}$}
+{$-0.014$}{\rm $c_{HVV,Vff}^{[6]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC06} (1.64e+03):}}
-{$-0.997$}{\rm $c_{HVV,Vff}^{[6]}$} 
-{$+0.066$}{\rm $c_{2q2l}^{[1]}$} 
-{$-0.018$}{\rm $c_{bH}$} 
-{$-0.015$}{\rm $c_{HVV,Vff}^{[5]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.997$}{\rm $c_{HVV,Vff}^{[6]}$}
+{$+0.066$}{\rm $c_{2q2l}^{[1]}$}
+{$-0.018$}{\rm $c_{bH}$}
+{$-0.015$}{\rm $c_{HVV,Vff}^{[5]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC07} (9.41e+02):}}
-{$+0.837$}{\rm $c_{2q2l}^{[1]}$} 
-{$-0.390$}{\rm $c_{bH}$} 
-{$+0.375$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$+0.066$}{\rm $c_{HVV,Vff}^{[6]}$} 
-{$+0.031$}{\rm $c_{HG}$} 
-{$-0.021$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.016$}{\rm $c_{HVV,Vff}^{[5]}$} 
-{$-0.015$}{\rm $c_{4q}^{[1]}$} 
-{$+0.015$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$+0.014$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$+0.012$}{\rm $c_{2q2l}^{[2]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.837$}{\rm $c_{2q2l}^{[1]}$}
+{$-0.390$}{\rm $c_{bH}$}
+{$+0.375$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$+0.066$}{\rm $c_{HVV,Vff}^{[6]}$}
+{$+0.031$}{\rm $c_{HG}$}
+{$-0.021$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.016$}{\rm $c_{HVV,Vff}^{[5]}$}
+{$-0.015$}{\rm $c_{4q}^{[1]}$}
+{$+0.015$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$+0.014$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$+0.012$}{\rm $c_{2q2l}^{[2]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC08} (9.03e+02):}}
-{$+0.595$}{\rm $c_{bH}$} 
-{$-0.589$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$+0.542$}{\rm $c_{2q2l}^{[1]}$} 
-{$-0.050$}{\rm $c_{HG}$} 
-{$-0.030$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.024$}{\rm $c_{HVV,Vff}^{[8]}$} 
-{$+0.021$}{\rm $c_{HVV,Vff}^{[6]}$} 
-{$+0.016$}{\rm $c_{HVV,Vff}^{[5]}$} 
-{$+0.012$}{\rm $c_{HVV,Vff}^{[2]}$} 
-{$+0.011$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.011$}{\rm $c_{HVV,Vff}^{[9]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.595$}{\rm $c_{bH}$}
+{$-0.589$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$+0.542$}{\rm $c_{2q2l}^{[1]}$}
+{$-0.050$}{\rm $c_{HG}$}
+{$-0.030$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.024$}{\rm $c_{HVV,Vff}^{[8]}$}
+{$+0.021$}{\rm $c_{HVV,Vff}^{[6]}$}
+{$+0.016$}{\rm $c_{HVV,Vff}^{[5]}$}
+{$+0.012$}{\rm $c_{HVV,Vff}^{[2]}$}
+{$+0.011$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.011$}{\rm $c_{HVV,Vff}^{[9]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC09} (5.83e+02):}}
-{$-0.714$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$-0.693$}{\rm $c_{bH}$} 
-{$+0.053$}{\rm $c_{HG}$} 
-{$-0.044$}{\rm $c_{HVV,Vff}^{[5]}$} 
-{$-0.036$}{\rm $c_{tG}$} 
-{$+0.035$}{\rm $c_{4q}^{[1]}$} 
-{$-0.030$}{\rm $c_{uH,dH,H\Box}$} 
-{$+0.028$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$-0.022$}{\rm $c_{2q2l}^{[2]}$} 
-{$-0.016$}{\rm $c_{HVV,Vff}^{[2]}$} 
-{$+0.015$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.014$}{\rm $c_{HVV,Vff}^{[4]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.714$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$-0.693$}{\rm $c_{bH}$}
+{$+0.053$}{\rm $c_{HG}$}
+{$-0.044$}{\rm $c_{HVV,Vff}^{[5]}$}
+{$-0.036$}{\rm $c_{tG}$}
+{$+0.035$}{\rm $c_{4q}^{[1]}$}
+{$-0.030$}{\rm $c_{uH,dH,H\Box}$}
+{$+0.028$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$-0.022$}{\rm $c_{2q2l}^{[2]}$}
+{$-0.016$}{\rm $c_{HVV,Vff}^{[2]}$}
+{$+0.015$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.014$}{\rm $c_{HVV,Vff}^{[4]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC10} (1.54e+02):}}
-{$+0.995$}{\rm $c_{4q}^{[1]}$} 
-{$-0.081$}{\rm $c_{HVV,Vff}^{[8]}$} 
-{$+0.033$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$-0.032$}{\rm $c_{W}$} 
-{$+0.017$}{\rm $c_{bH}$} 
-{$+0.014$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.013$}{\rm $c_{tG}$} 
-{$-0.011$}{\rm $c_{HVV,Vff}^{[10]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.995$}{\rm $c_{4q}^{[1]}$}
+{$-0.081$}{\rm $c_{HVV,Vff}^{[8]}$}
+{$+0.033$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$-0.032$}{\rm $c_{W}$}
+{$+0.017$}{\rm $c_{bH}$}
+{$+0.014$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.013$}{\rm $c_{tG}$}
+{$-0.011$}{\rm $c_{HVV,Vff}^{[10]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC11} (9.46e+01):}}
-{$-0.990$}{\rm $c_{HVV,Vff}^{[8]}$} 
-{$+0.080$}{\rm $c_{tG}$} 
-{$-0.079$}{\rm $c_{4q}^{[1]}$} 
-{$+0.068$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$-0.033$}{\rm $c_{2q2l}^{[2]}$} 
-{$-0.023$}{\rm $c_{HVV,Vff}^{[5]}$} 
-{$+0.019$}{\rm $c_{uH,dH,H\Box}$} 
-{$-0.018$}{\rm $c_{2q2l}^{[1]}$} 
-{$+0.016$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$+0.013$}{\rm $c_{W}$} 
-{$+0.012$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$+0.011$}{\rm $c_{top}^{[1]}$} 
-{$+0.011$}{\rm $c_{HVV,Vff}^{[11]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.990$}{\rm $c_{HVV,Vff}^{[8]}$}
+{$+0.080$}{\rm $c_{tG}$}
+{$-0.079$}{\rm $c_{4q}^{[1]}$}
+{$+0.068$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$-0.033$}{\rm $c_{2q2l}^{[2]}$}
+{$-0.023$}{\rm $c_{HVV,Vff}^{[5]}$}
+{$+0.019$}{\rm $c_{uH,dH,H\Box}$}
+{$-0.018$}{\rm $c_{2q2l}^{[1]}$}
+{$+0.016$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$+0.013$}{\rm $c_{W}$}
+{$+0.012$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$+0.011$}{\rm $c_{top}^{[1]}$}
+{$+0.011$}{\rm $c_{HVV,Vff}^{[11]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC12} (3.11e+01):}}
-{$+0.872$}{\rm $c_{tG}$} 
-{$+0.390$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$+0.220$}{\rm $c_{top}^{[1]}$} 
-{$-0.109$}{\rm $c_{W}$} 
-{$+0.096$}{\rm $c_{HVV,Vff}^{[8]}$} 
-{$+0.074$}{\rm $c_{uH,dH,H\Box}$} 
-{$-0.073$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.056$}{\rm $c_{tH}$} 
-{$-0.033$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$-0.029$}{\rm $c_{HG}$} 
-{$+0.022$}{\rm $c_{4q}^{[1]}$} 
-{$-0.022$}{\rm $c_{bH}$} 
-{$+0.018$}{\rm $c_{2q2l}^{[2]}$} 
-{$-0.017$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.015$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$-0.014$}{\rm $c_{HVV,Vff}^{[13]}$} 
-{$-0.011$}{\rm $c_{HVV,Vff}^{[10]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.872$}{\rm $c_{tG}$}
+{$+0.390$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$+0.220$}{\rm $c_{top}^{[1]}$}
+{$-0.109$}{\rm $c_{W}$}
+{$+0.096$}{\rm $c_{HVV,Vff}^{[8]}$}
+{$+0.074$}{\rm $c_{uH,dH,H\Box}$}
+{$-0.073$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.056$}{\rm $c_{tH}$}
+{$-0.033$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$-0.029$}{\rm $c_{HG}$}
+{$+0.022$}{\rm $c_{4q}^{[1]}$}
+{$-0.022$}{\rm $c_{bH}$}
+{$+0.018$}{\rm $c_{2q2l}^{[2]}$}
+{$-0.017$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.015$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$-0.014$}{\rm $c_{HVV,Vff}^{[13]}$}
+{$-0.011$}{\rm $c_{HVV,Vff}^{[10]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC13} (2.44e+01):}}
-{$+0.904$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$-0.376$}{\rm $c_{tG}$} 
-{$-0.138$}{\rm $c_{top}^{[1]}$} 
-{$+0.084$}{\rm $c_{2q2l}^{[2]}$} 
-{$+0.063$}{\rm $c_{tH}$} 
-{$-0.061$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.054$}{\rm $c_{W}$} 
-{$+0.043$}{\rm $c_{bH}$} 
-{$+0.026$}{\rm $c_{HVV,Vff}^{[8]}$} 
-{$-0.026$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.016$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$+0.012$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$+0.012$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$+0.011$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$+0.011$}{\rm $c_{HG}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.904$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$-0.376$}{\rm $c_{tG}$}
+{$-0.138$}{\rm $c_{top}^{[1]}$}
+{$+0.084$}{\rm $c_{2q2l}^{[2]}$}
+{$+0.063$}{\rm $c_{tH}$}
+{$-0.061$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.054$}{\rm $c_{W}$}
+{$+0.043$}{\rm $c_{bH}$}
+{$+0.026$}{\rm $c_{HVV,Vff}^{[8]}$}
+{$-0.026$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.016$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$+0.012$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$+0.012$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$+0.011$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$+0.011$}{\rm $c_{HG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC14} (1.72e+01):}}
-{$-0.928$}{\rm $c_{W}$} 
-{$+0.316$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$+0.135$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.100$}{\rm $c_{2q2l}^{[2]}$} 
-{$-0.066$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$-0.055$}{\rm $c_{tG}$} 
-{$+0.039$}{\rm $c_{uH,dH,H\Box}$} 
-{$-0.036$}{\rm $c_{4q}^{[1]}$} 
-{$+0.018$}{\rm $c_{HVV,Vff}^{[2]}$} 
-{$-0.014$}{\rm $c_{eH}$} 
-{$-0.011$}{\rm $c_{top}^{[1]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.928$}{\rm $c_{W}$}
+{$+0.316$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$+0.135$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.100$}{\rm $c_{2q2l}^{[2]}$}
+{$-0.066$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$-0.055$}{\rm $c_{tG}$}
+{$+0.039$}{\rm $c_{uH,dH,H\Box}$}
+{$-0.036$}{\rm $c_{4q}^{[1]}$}
+{$+0.018$}{\rm $c_{HVV,Vff}^{[2]}$}
+{$-0.014$}{\rm $c_{eH}$}
+{$-0.011$}{\rm $c_{top}^{[1]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC15} (1.51e+01):}}
-{$+0.818$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.441$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.246$}{\rm $c_{2q2l}^{[2]}$} 
-{$+0.237$}{\rm $c_{W}$} 
-{$+0.078$}{\rm $c_{2q2l}^{[3]}$} 
-{$+0.068$}{\rm $c_{tG}$} 
-{$+0.055$}{\rm $c_{uH,dH,H\Box}$} 
-{$+0.031$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$+0.029$}{\rm $c_{top}^{[1]}$} 
-{$-0.028$}{\rm $c_{2q2l}^{[4]}$} 
-{$-0.028$}{\rm $c_{2q2l}^{[1]}$} 
-{$+0.025$}{\rm $c_{HVV,Vff}^{[8]}$} 
-{$-0.024$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$-0.015$}{\rm $c_{eH}$} 
-{$-0.015$}{\rm $c_{bH}$} 
-{$-0.013$}{\rm $c_{HVV,Vff}^{[13]}$} 
-{$-0.013$}{\rm $c_{tH}$} 
-{$-0.010$}{\rm $c_{HVV,Vff}^{[14]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.818$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.441$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.246$}{\rm $c_{2q2l}^{[2]}$}
+{$+0.237$}{\rm $c_{W}$}
+{$+0.078$}{\rm $c_{2q2l}^{[3]}$}
+{$+0.068$}{\rm $c_{tG}$}
+{$+0.055$}{\rm $c_{uH,dH,H\Box}$}
+{$+0.031$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$+0.029$}{\rm $c_{top}^{[1]}$}
+{$-0.028$}{\rm $c_{2q2l}^{[4]}$}
+{$-0.028$}{\rm $c_{2q2l}^{[1]}$}
+{$+0.025$}{\rm $c_{HVV,Vff}^{[8]}$}
+{$-0.024$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$-0.015$}{\rm $c_{eH}$}
+{$-0.015$}{\rm $c_{bH}$}
+{$-0.013$}{\rm $c_{HVV,Vff}^{[13]}$}
+{$-0.013$}{\rm $c_{tH}$}
+{$-0.010$}{\rm $c_{HVV,Vff}^{[14]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC16} (1.37e+01):}}
-{$+0.832$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.378$}{\rm $c_{2q2l}^{[2]}$} 
-{$+0.256$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$+0.247$}{\rm $c_{W}$} 
-{$+0.125$}{\rm $c_{uH,dH,H\Box}$} 
-{$+0.100$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$-0.070$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.038$}{\rm $c_{eH}$} 
-{$+0.037$}{\rm $c_{HVV,Vff}^{[8]}$} 
-{$+0.034$}{\rm $c_{tH}$} 
-{$-0.033$}{\rm $c_{top}^{[1]}$} 
-{$+0.027$}{\rm $c_{2q2l}^{[1]}$} 
-{$-0.024$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$+0.020$}{\rm $c_{tG}$} 
-{$+0.018$}{\rm $c_{bH}$} 
-{$+0.014$}{\rm $c_{4q}^{[1]}$} 
-{$-0.011$}{\rm $c_{HVV,Vff}^{[12]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.832$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.378$}{\rm $c_{2q2l}^{[2]}$}
+{$+0.256$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$+0.247$}{\rm $c_{W}$}
+{$+0.125$}{\rm $c_{uH,dH,H\Box}$}
+{$+0.100$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$-0.070$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.038$}{\rm $c_{eH}$}
+{$+0.037$}{\rm $c_{HVV,Vff}^{[8]}$}
+{$+0.034$}{\rm $c_{tH}$}
+{$-0.033$}{\rm $c_{top}^{[1]}$}
+{$+0.027$}{\rm $c_{2q2l}^{[1]}$}
+{$-0.024$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$+0.020$}{\rm $c_{tG}$}
+{$+0.018$}{\rm $c_{bH}$}
+{$+0.014$}{\rm $c_{4q}^{[1]}$}
+{$-0.011$}{\rm $c_{HVV,Vff}^{[12]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC17} (7.13e+00):}}
-{$-0.874$}{\rm $c_{2q2l}^{[2]}$} 
-{$-0.376$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.250$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$+0.091$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$+0.083$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.074$}{\rm $c_{W}$} 
-{$-0.057$}{\rm $c_{uH,dH,H\Box}$} 
-{$+0.051$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$-0.043$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$-0.040$}{\rm $c_{tG}$} 
-{$+0.026$}{\rm $c_{eH}$} 
-{$+0.023$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$+0.021$}{\rm $c_{HVV,Vff}^{[8]}$} 
-{$+0.017$}{\rm $c_{2q2l}^{[4]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.874$}{\rm $c_{2q2l}^{[2]}$}
+{$-0.376$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.250$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$+0.091$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$+0.083$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.074$}{\rm $c_{W}$}
+{$-0.057$}{\rm $c_{uH,dH,H\Box}$}
+{$+0.051$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$-0.043$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$-0.040$}{\rm $c_{tG}$}
+{$+0.026$}{\rm $c_{eH}$}
+{$+0.023$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$+0.021$}{\rm $c_{HVV,Vff}^{[8]}$}
+{$+0.017$}{\rm $c_{2q2l}^{[4]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC18} (2.49e+00):}}
-{$+0.987$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$+0.070$}{\rm $c_{2q2l}^{[2]}$} 
-{$-0.065$}{\rm $c_{tH}$} 
-{$+0.059$}{\rm $c_{top}^{[1]}$} 
-{$+0.058$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.056$}{\rm $c_{HVV,Vff}^{[13]}$} 
-{$-0.050$}{\rm $c_{uH,dH,H\Box}$} 
-{$-0.036$}{\rm $c_{2q2l}^{[3]}$} 
-{$+0.030$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$+0.025$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$+0.018$}{\rm $c_{W}$} 
-{$-0.018$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$-0.016$}{\rm $c_{eH}$} 
-{$+0.013$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.987$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$+0.070$}{\rm $c_{2q2l}^{[2]}$}
+{$-0.065$}{\rm $c_{tH}$}
+{$+0.059$}{\rm $c_{top}^{[1]}$}
+{$+0.058$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.056$}{\rm $c_{HVV,Vff}^{[13]}$}
+{$-0.050$}{\rm $c_{uH,dH,H\Box}$}
+{$-0.036$}{\rm $c_{2q2l}^{[3]}$}
+{$+0.030$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$+0.025$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$+0.018$}{\rm $c_{W}$}
+{$-0.018$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$-0.016$}{\rm $c_{eH}$}
+{$+0.013$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC19} (1.14e+00):}}
-{$+0.786$}{\rm $c_{HVV,Vff}^{[13]}$} 
-{$+0.430$}{\rm $c_{top}^{[1]}$} 
-{$-0.356$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.179$}{\rm $c_{uH,dH,H\Box}$} 
-{$-0.148$}{\rm $c_{tH}$} 
-{$-0.103$}{\rm $c_{tG}$} 
-{$+0.038$}{\rm $c_{2q2l}^{[4]}$} 
-{$+0.038$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.030$}{\rm $c_{eH}$} 
-{$+0.030$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$-0.028$}{\rm $c_{2q2l}^{[2]}$} 
-{$+0.025$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$-0.013$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$+0.010$}{\rm $c_{W}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.786$}{\rm $c_{HVV,Vff}^{[13]}$}
+{$+0.430$}{\rm $c_{top}^{[1]}$}
+{$-0.356$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.179$}{\rm $c_{uH,dH,H\Box}$}
+{$-0.148$}{\rm $c_{tH}$}
+{$-0.103$}{\rm $c_{tG}$}
+{$+0.038$}{\rm $c_{2q2l}^{[4]}$}
+{$+0.038$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.030$}{\rm $c_{eH}$}
+{$+0.030$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$-0.028$}{\rm $c_{2q2l}^{[2]}$}
+{$+0.025$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$-0.013$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$+0.010$}{\rm $c_{W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC20} (8.63e-01):}}
-{$-0.717$}{\rm $c_{top}^{[1]}$} 
-{$+0.557$}{\rm $c_{HVV,Vff}^{[13]}$} 
-{$+0.346$}{\rm $c_{2q2l}^{[3]}$} 
-{$+0.199$}{\rm $c_{tG}$} 
-{$-0.079$}{\rm $c_{tH}$} 
-{$+0.076$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$+0.033$}{\rm $c_{eH}$} 
-{$+0.029$}{\rm $c_{2q2l}^{[2]}$} 
-{$+0.026$}{\rm $c_{2q2l}^{[4]}$} 
-{$+0.023$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.022$}{\rm $c_{uH,dH,H\Box}$} 
-{$+0.020$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$+0.011$}{\rm $c_{HVV,Vff}^{[11]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.717$}{\rm $c_{top}^{[1]}$}
+{$+0.557$}{\rm $c_{HVV,Vff}^{[13]}$}
+{$+0.346$}{\rm $c_{2q2l}^{[3]}$}
+{$+0.199$}{\rm $c_{tG}$}
+{$-0.079$}{\rm $c_{tH}$}
+{$+0.076$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$+0.033$}{\rm $c_{eH}$}
+{$+0.029$}{\rm $c_{2q2l}^{[2]}$}
+{$+0.026$}{\rm $c_{2q2l}^{[4]}$}
+{$+0.023$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.022$}{\rm $c_{uH,dH,H\Box}$}
+{$+0.020$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$+0.011$}{\rm $c_{HVV,Vff}^{[11]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC21} (7.95e-01):}}
-{$+0.829$}{\rm $c_{2q2l}^{[3]}$} 
-{$+0.438$}{\rm $c_{top}^{[1]}$} 
-{$-0.272$}{\rm $c_{eH}$} 
-{$+0.112$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.104$}{\rm $c_{tG}$} 
-{$+0.096$}{\rm $c_{HVV,Vff}^{[13]}$} 
-{$-0.088$}{\rm $c_{uH,dH,H\Box}$} 
-{$+0.056$}{\rm $c_{2q2l}^{[2]}$} 
-{$+0.046$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$+0.012$}{\rm $c_{tH}$} 
-{$-0.012$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$-0.012$}{\rm $c_{2q2l}^{[4]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.829$}{\rm $c_{2q2l}^{[3]}$}
+{$+0.438$}{\rm $c_{top}^{[1]}$}
+{$-0.272$}{\rm $c_{eH}$}
+{$+0.112$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.104$}{\rm $c_{tG}$}
+{$+0.096$}{\rm $c_{HVV,Vff}^{[13]}$}
+{$-0.088$}{\rm $c_{uH,dH,H\Box}$}
+{$+0.056$}{\rm $c_{2q2l}^{[2]}$}
+{$+0.046$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$+0.012$}{\rm $c_{tH}$}
+{$-0.012$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$-0.012$}{\rm $c_{2q2l}^{[4]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC22} (4.08e-01):}}
-{$+0.931$}{\rm $c_{uH,dH,H\Box}$} 
-{$+0.189$}{\rm $c_{HVV,Vff}^{[13]}$} 
-{$+0.183$}{\rm $c_{eH}$} 
-{$+0.125$}{\rm $c_{top}^{[1]}$} 
-{$-0.103$}{\rm $c_{tG}$} 
-{$-0.096$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$-0.089$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.077$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$+0.065$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$+0.065$}{\rm $c_{2q2l}^{[3]}$} 
-{$+0.056$}{\rm $c_{tH}$} 
-{$+0.028$}{\rm $c_{2q2l}^{[2]}$} 
-{$-0.022$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$-0.021$}{\rm $c_{bH}$} 
-{$-0.016$}{\rm $c_{HVV,Vff}^{[7]}$} 
-{$-0.013$}{\rm $c_{4q}^{[2]}$} 
-{$-0.011$}{\rm $c_{2q2l}^{[4]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.931$}{\rm $c_{uH,dH,H\Box}$}
+{$+0.189$}{\rm $c_{HVV,Vff}^{[13]}$}
+{$+0.183$}{\rm $c_{eH}$}
+{$+0.125$}{\rm $c_{top}^{[1]}$}
+{$-0.103$}{\rm $c_{tG}$}
+{$-0.096$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$-0.089$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.077$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$+0.065$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$+0.065$}{\rm $c_{2q2l}^{[3]}$}
+{$+0.056$}{\rm $c_{tH}$}
+{$+0.028$}{\rm $c_{2q2l}^{[2]}$}
+{$-0.022$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$-0.021$}{\rm $c_{bH}$}
+{$-0.016$}{\rm $c_{HVV,Vff}^{[7]}$}
+{$-0.013$}{\rm $c_{4q}^{[2]}$}
+{$-0.011$}{\rm $c_{2q2l}^{[4]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC23} (3.18e-01):}}
-{$+0.919$}{\rm $c_{eH}$} 
-{$-0.215$}{\rm $c_{uH,dH,H\Box}$} 
-{$+0.191$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.188$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$+0.129$}{\rm $c_{top}^{[1]}$} 
-{$+0.083$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.073$}{\rm $c_{tH}$} 
-{$+0.055$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.040$}{\rm $c_{2q2l}^{[4]}$} 
-{$-0.031$}{\rm $c_{tG}$} 
-{$+0.029$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$-0.025$}{\rm $c_{4q}^{[2]}$} 
-{$+0.022$}{\rm $c_{2q2l}^{[2]}$} 
-{$-0.013$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$+0.012$}{\rm $c_{bH}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.919$}{\rm $c_{eH}$}
+{$-0.215$}{\rm $c_{uH,dH,H\Box}$}
+{$+0.191$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.188$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$+0.129$}{\rm $c_{top}^{[1]}$}
+{$+0.083$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.073$}{\rm $c_{tH}$}
+{$+0.055$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.040$}{\rm $c_{2q2l}^{[4]}$}
+{$-0.031$}{\rm $c_{tG}$}
+{$+0.029$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$-0.025$}{\rm $c_{4q}^{[2]}$}
+{$+0.022$}{\rm $c_{2q2l}^{[2]}$}
+{$-0.013$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$+0.012$}{\rm $c_{bH}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC24} (1.93e-01):}}
-{$-0.956$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$+0.204$}{\rm $c_{2q2l}^{[4]}$} 
-{$-0.182$}{\rm $c_{eH}$} 
-{$-0.054$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.053$}{\rm $c_{uH,dH,H\Box}$} 
-{$-0.045$}{\rm $c_{top}^{[1]}$} 
-{$+0.043$}{\rm $c_{2q2l}^{[2]}$} 
-{$-0.026$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$-0.016$}{\rm $c_{HVV,Vff}^{[10]}$} 
-{$-0.012$}{\rm $c_{4q}^{[2]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.956$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$+0.204$}{\rm $c_{2q2l}^{[4]}$}
+{$-0.182$}{\rm $c_{eH}$}
+{$-0.054$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.053$}{\rm $c_{uH,dH,H\Box}$}
+{$-0.045$}{\rm $c_{top}^{[1]}$}
+{$+0.043$}{\rm $c_{2q2l}^{[2]}$}
+{$-0.026$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$-0.016$}{\rm $c_{HVV,Vff}^{[10]}$}
+{$-0.012$}{\rm $c_{4q}^{[2]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC25} (5.50e-02):}}
-{$+0.901$}{\rm $c_{tH}$} 
-{$-0.357$}{\rm $c_{2q2l}^{[4]}$} 
-{$+0.152$}{\rm $c_{HVV,Vff}^{[13]}$} 
-{$-0.100$}{\rm $c_{uH,dH,H\Box}$} 
-{$-0.099$}{\rm $c_{4q}^{[2]}$} 
-{$+0.078$}{\rm $c_{tG}$} 
-{$-0.069$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$+0.062$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$-0.036$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.032$}{\rm $c_{HVV,Vff}^{[9]}$} 
-{$+0.028$}{\rm $c_{eH}$} 
-{$+0.019$}{\rm $c_{top}^{[1]}$} 
-{$-0.016$}{\rm $c_{HVV,Vff}^{[10]}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.901$}{\rm $c_{tH}$}
+{$-0.357$}{\rm $c_{2q2l}^{[4]}$}
+{$+0.152$}{\rm $c_{HVV,Vff}^{[13]}$}
+{$-0.100$}{\rm $c_{uH,dH,H\Box}$}
+{$-0.099$}{\rm $c_{4q}^{[2]}$}
+{$+0.078$}{\rm $c_{tG}$}
+{$-0.069$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$+0.062$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$-0.036$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.032$}{\rm $c_{HVV,Vff}^{[9]}$}
+{$+0.028$}{\rm $c_{eH}$}
+{$+0.019$}{\rm $c_{top}^{[1]}$}
+{$-0.016$}{\rm $c_{HVV,Vff}^{[10]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC26} (3.61e-02):}}
-{$-0.867$}{\rm $c_{2q2l}^{[4]}$} 
-{$+0.333$}{\rm $c_{4q}^{[2]}$} 
-{$-0.312$}{\rm $c_{tH}$} 
-{$-0.174$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$-0.078$}{\rm $c_{eH}$} 
-{$-0.031$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$-0.027$}{\rm $c_{top}^{[1]}$} 
-{$-0.022$}{\rm $c_{tG}$} 
-{$-0.021$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.015$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$+0.014$}{\rm $c_{uH,dH,H\Box}$} 
-{$+0.011$}{\rm $c_{HVV,Vff}^{[10]}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.867$}{\rm $c_{2q2l}^{[4]}$}
+{$+0.333$}{\rm $c_{4q}^{[2]}$}
+{$-0.312$}{\rm $c_{tH}$}
+{$-0.174$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$-0.078$}{\rm $c_{eH}$}
+{$-0.031$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$-0.027$}{\rm $c_{top}^{[1]}$}
+{$-0.022$}{\rm $c_{tG}$}
+{$-0.021$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.015$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$+0.014$}{\rm $c_{uH,dH,H\Box}$}
+{$+0.011$}{\rm $c_{HVV,Vff}^{[10]}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC27} (4.29e-10):}}
-{$-0.937$}{\rm $c_{4q}^{[2]}$} 
-{$-0.272$}{\rm $c_{2q2l}^{[4]}$} 
-{$-0.204$}{\rm $c_{tH}$} 
-{$-0.053$}{\rm $c_{eH}$} 
-{$-0.036$}{\rm $c_{HVV,Vff}^{[14]}$} 
-{$-0.024$}{\rm $c_{HVV,Vff}^{[13]}$} 
-{$-0.023$}{\rm $c_{top}^{[1]}$} 
-{$-0.013$}{\rm $c_{2q2l}^{[3]}$} 
-{$-0.012$}{\rm $c_{HVV,Vff}^{[12]}$} 
-{$-0.012$}{\rm $c_{tG}$} 
-{$-0.011$}{\rm $c_{HVV,Vff}^{[11]}$} 
-{$+0.011$}{\rm $c_{uH,dH,H\Box}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.937$}{\rm $c_{4q}^{[2]}$}
+{$-0.272$}{\rm $c_{2q2l}^{[4]}$}
+{$-0.204$}{\rm $c_{tH}$}
+{$-0.053$}{\rm $c_{eH}$}
+{$-0.036$}{\rm $c_{HVV,Vff}^{[14]}$}
+{$-0.024$}{\rm $c_{HVV,Vff}^{[13]}$}
+{$-0.023$}{\rm $c_{top}^{[1]}$}
+{$-0.013$}{\rm $c_{2q2l}^{[3]}$}
+{$-0.012$}{\rm $c_{HVV,Vff}^{[12]}$}
+{$-0.012$}{\rm $c_{tG}$}
+{$-0.011$}{\rm $c_{HVV,Vff}^{[11]}$}
+{$+0.011$}{\rm $c_{uH,dH,H\Box}$}
+ \nonumber \\ \nonumber \\
 \end{document}
diff --git a/docs/source/_static/report_smefit20_linear/index.html b/docs/source/_static/report_smefit20_linear/index.html
index 924f11fc..d0a6aad9 100644
--- a/docs/source/_static/report_smefit20_linear/index.html
+++ b/docs/source/_static/report_smefit20_linear/index.html
@@ -30,25 +30,25 @@
       <div class="one-half column">
         <nav class="menu docs-menu">
           <ul>
-            <li><a href=#Summary>Summary</a></li> 
-<li><a href=#Chi2>Chi2</a></li> 
-<li><a href=#Coefficients>Coefficients</a></li> 
-<li><a href=#Correlations>Correlations</a></li> 
-<li><a href=#PCA>PCA</a></li> 
+            <li><a href=#Summary>Summary</a></li>
+<li><a href=#Chi2>Chi2</a></li>
+<li><a href=#Coefficients>Coefficients</a></li>
+<li><a href=#Correlations>Correlations</a></li>
+<li><a href=#PCA>PCA</a></li>
 
           </ul>
         </nav>
       </div>
     </div>
 
-    
-        <div class='container'> 
 
-        <h2 id='Summary'> Summary</h2> 
+        <div class='container'>
 
-        <div class="three-fourth column markdown-body"> 
+        <h2 id='Summary'> Summary</h2>
 
-    <div class='table'> 
+        <div class="three-fourth column markdown-body">
+
+    <div class='table'>
 <table border="0" class="dataframe">
   <thead>
     <tr style="text-align: center;">
@@ -74,198 +74,198 @@ <h2 id='Summary'> Summary</h2>
       <td>16776</td>
     </tr>
   </tbody>
-</table></div> 
-</br> 
-<li><a href=meta/dataset_summary.html>Dataset summary</a></li> 
-</br> 
-<li><a href=meta/coefficient_summary.html>Coefficient summary</a></li> 
+</table></div>
+</br>
+<li><a href=meta/dataset_summary.html>Dataset summary</a></li>
+</br>
+<li><a href=meta/coefficient_summary.html>Coefficient summary</a></li>
+
+        <div class='container'>
+
+        <h2 id='Chi2'> Chi2</h2>
+
+        <div class="three-fourth column markdown-body">
+
+    </br>
+<li><a href=meta/chi2_tables.html>Tables</a></li>
+
+        <div class="figiterwrapper">
+
+        <figure>
+
+        <img src="meta/chi2_bar.png"/>
+
+        <figcaption aria-hidden="true">
+
+        <a href="meta/chi2_bar.png">.png</a>
 
-        <div class='container'> 
+        <a href="meta/chi2_bar.pdf">.pdf</a>
 
-        <h2 id='Chi2'> Chi2</h2> 
+        </figcaption>
 
-        <div class="three-fourth column markdown-body"> 
+        </figure>
 
-    </br> 
-<li><a href=meta/chi2_tables.html>Tables</a></li> 
+        </div>
 
-        <div class="figiterwrapper"> 
 
-        <figure> 
+        <div class="figiterwrapper">
 
-        <img src="meta/chi2_bar.png"/> 
+        <figure>
 
-        <figcaption aria-hidden="true"> 
+        <img src="meta/chi2_histo.png"/>
 
-        <a href="meta/chi2_bar.png">.png</a> 
+        <figcaption aria-hidden="true">
 
-        <a href="meta/chi2_bar.pdf">.pdf</a> 
+        <a href="meta/chi2_histo.png">.png</a>
 
-        </figcaption> 
+        <a href="meta/chi2_histo.pdf">.pdf</a>
 
-        </figure> 
+        </figcaption>
 
-        </div> 
+        </figure>
 
-    
-        <div class="figiterwrapper"> 
+        </div>
 
-        <figure> 
 
-        <img src="meta/chi2_histo.png"/> 
+        <div class='container'>
 
-        <figcaption aria-hidden="true"> 
+        <h2 id='Coefficients'> Coefficients</h2>
 
-        <a href="meta/chi2_histo.png">.png</a> 
+        <div class="three-fourth column markdown-body">
 
-        <a href="meta/chi2_histo.pdf">.pdf</a> 
+    </br>
+<li><a href=meta/coefficients_table.html>CL table</a></li>
 
-        </figcaption> 
+        <div class="figiterwrapper">
 
-        </figure> 
+        <figure>
 
-        </div> 
+        <img src="meta/coefficient_central.png"/>
 
-    
-        <div class='container'> 
+        <figcaption aria-hidden="true">
 
-        <h2 id='Coefficients'> Coefficients</h2> 
+        <a href="meta/coefficient_central.png">.png</a>
 
-        <div class="three-fourth column markdown-body"> 
+        <a href="meta/coefficient_central.pdf">.pdf</a>
 
-    </br> 
-<li><a href=meta/coefficients_table.html>CL table</a></li> 
+        </figcaption>
 
-        <div class="figiterwrapper"> 
+        </figure>
 
-        <figure> 
+        </div>
 
-        <img src="meta/coefficient_central.png"/> 
 
-        <figcaption aria-hidden="true"> 
+        <div class="figiterwrapper">
 
-        <a href="meta/coefficient_central.png">.png</a> 
+        <figure>
 
-        <a href="meta/coefficient_central.pdf">.pdf</a> 
+        <img src="meta/coefficient_bar.png"/>
 
-        </figcaption> 
+        <figcaption aria-hidden="true">
 
-        </figure> 
+        <a href="meta/coefficient_bar.png">.png</a>
 
-        </div> 
+        <a href="meta/coefficient_bar.pdf">.pdf</a>
 
-    
-        <div class="figiterwrapper"> 
+        </figcaption>
 
-        <figure> 
+        </figure>
 
-        <img src="meta/coefficient_bar.png"/> 
+        </div>
 
-        <figcaption aria-hidden="true"> 
 
-        <a href="meta/coefficient_bar.png">.png</a> 
+        <div class="figiterwrapper">
 
-        <a href="meta/coefficient_bar.pdf">.pdf</a> 
+        <figure>
 
-        </figcaption> 
+        <img src="meta/coefficient_histo.png"/>
 
-        </figure> 
+        <figcaption aria-hidden="true">
 
-        </div> 
+        <a href="meta/coefficient_histo.png">.png</a>
 
-    
-        <div class="figiterwrapper"> 
+        <a href="meta/coefficient_histo.pdf">.pdf</a>
 
-        <figure> 
+        </figcaption>
 
-        <img src="meta/coefficient_histo.png"/> 
+        </figure>
 
-        <figcaption aria-hidden="true"> 
+        </div>
 
-        <a href="meta/coefficient_histo.png">.png</a> 
 
-        <a href="meta/coefficient_histo.pdf">.pdf</a> 
+        <div class='container'>
 
-        </figcaption> 
+        <h2 id='Correlations'> Correlations</h2>
 
-        </figure> 
+        <div class="three-fourth column markdown-body">
 
-        </div> 
 
-    
-        <div class='container'> 
+        <div class="figiterwrapper">
 
-        <h2 id='Correlations'> Correlations</h2> 
+        <figure>
 
-        <div class="three-fourth column markdown-body"> 
+        <img src="meta/correlations_MC_GLOBAL_NLO_NHO.png"/>
 
-    
-        <div class="figiterwrapper"> 
+        <figcaption aria-hidden="true">
 
-        <figure> 
+        <a href="meta/correlations_MC_GLOBAL_NLO_NHO.png">.png</a>
 
-        <img src="meta/correlations_MC_GLOBAL_NLO_NHO.png"/> 
+        <a href="meta/correlations_MC_GLOBAL_NLO_NHO.pdf">.pdf</a>
 
-        <figcaption aria-hidden="true"> 
+        </figcaption>
 
-        <a href="meta/correlations_MC_GLOBAL_NLO_NHO.png">.png</a> 
+        </figure>
 
-        <a href="meta/correlations_MC_GLOBAL_NLO_NHO.pdf">.pdf</a> 
+        </div>
 
-        </figcaption> 
 
-        </figure> 
+        <div class="figiterwrapper">
 
-        </div> 
+        <figure>
 
-    
-        <div class="figiterwrapper"> 
+        <img src="meta/correlations_mult_prescr_lin.png"/>
 
-        <figure> 
+        <figcaption aria-hidden="true">
 
-        <img src="meta/correlations_mult_prescr_lin.png"/> 
+        <a href="meta/correlations_mult_prescr_lin.png">.png</a>
 
-        <figcaption aria-hidden="true"> 
+        <a href="meta/correlations_mult_prescr_lin.pdf">.pdf</a>
 
-        <a href="meta/correlations_mult_prescr_lin.png">.png</a> 
+        </figcaption>
 
-        <a href="meta/correlations_mult_prescr_lin.pdf">.pdf</a> 
+        </figure>
 
-        </figcaption> 
+        </div>
 
-        </figure> 
 
-        </div> 
+        <div class='container'>
 
-    
-        <div class='container'> 
+        <h2 id='PCA'> PCA</h2>
 
-        <h2 id='PCA'> PCA</h2> 
+        <div class="three-fourth column markdown-body">
 
-        <div class="three-fourth column markdown-body"> 
+    </br>
+<li><a href=meta/pca_table_mult_prescr_lin.html>Table NS</a></li>
 
-    </br> 
-<li><a href=meta/pca_table_mult_prescr_lin.html>Table NS</a></li> 
+        <div class="figiterwrapper">
 
-        <div class="figiterwrapper"> 
+        <figure>
 
-        <figure> 
+        <img src="meta/pca_heatmap_mult_prescr_lin.png"/>
 
-        <img src="meta/pca_heatmap_mult_prescr_lin.png"/> 
+        <figcaption aria-hidden="true">
 
-        <figcaption aria-hidden="true"> 
+        <a href="meta/pca_heatmap_mult_prescr_lin.png">.png</a>
 
-        <a href="meta/pca_heatmap_mult_prescr_lin.png">.png</a> 
+        <a href="meta/pca_heatmap_mult_prescr_lin.pdf">.pdf</a>
 
-        <a href="meta/pca_heatmap_mult_prescr_lin.pdf">.pdf</a> 
+        </figcaption>
 
-        </figcaption> 
+        </figure>
 
-        </figure> 
+        </div>
 
-        </div> 
 
-    
 
 </body>
 </html>
diff --git a/docs/source/_static/report_smefit20_linear/meta/chi2_tables.css b/docs/source/_static/report_smefit20_linear/meta/chi2_tables.css
index 8deab058..6871e271 100644
--- a/docs/source/_static/report_smefit20_linear/meta/chi2_tables.css
+++ b/docs/source/_static/report_smefit20_linear/meta/chi2_tables.css
@@ -1,4 +1,4 @@
- 
+
 /* start css.sty */
 .cmr-7{font-size:70%;}
 .cmmi-7{font-size:70%;font-style: italic;}
@@ -77,7 +77,7 @@ div.figure img {text-align:center;}
 .reversemarginpar{float:left;}
 table.equation {width:100%;}
 .equation td{text-align:center; }
-td.equation { margin-top:1em; margin-bottom:1em; } 
+td.equation { margin-top:1em; margin-bottom:1em; }
 td.equation-label { width:5%; text-align:center; }
 td.eqnarray4 { width:5%; white-space: normal; }
 td.eqnarray2 { width:5%; }
@@ -319,4 +319,3 @@ div.array {text-align:center;}
 #TBL-17 colgroup{border-left: 1px solid black;border-right:1px solid black;}
 #TBL-17{border-collapse:collapse;}
 /* end css.sty */
-
diff --git a/docs/source/_static/report_smefit20_linear/meta/coefficient_summary.css b/docs/source/_static/report_smefit20_linear/meta/coefficient_summary.css
index 747a7e77..2c59b107 100644
--- a/docs/source/_static/report_smefit20_linear/meta/coefficient_summary.css
+++ b/docs/source/_static/report_smefit20_linear/meta/coefficient_summary.css
@@ -1,4 +1,4 @@
- 
+
 /* start css.sty */
 .cmr-5{font-size:50%;}
 .cmr-7{font-size:70%;}
@@ -80,7 +80,7 @@ div.figure img {text-align:center;}
 .reversemarginpar{float:left;}
 table.equation {width:100%;}
 .equation td{text-align:center; }
-td.equation { margin-top:1em; margin-bottom:1em; } 
+td.equation { margin-top:1em; margin-bottom:1em; }
 td.equation-label { width:5%; text-align:center; }
 td.eqnarray4 { width:5%; white-space: normal; }
 td.eqnarray2 { width:5%; }
@@ -164,4 +164,3 @@ div.array {text-align:center;}
 #TBL-1 colgroup{border-left: 1px solid black;border-right:1px solid black;}
 #TBL-1{border-collapse:collapse;}
 /* end css.sty */
-
diff --git a/docs/source/_static/report_smefit20_linear/meta/coefficient_summary.tex b/docs/source/_static/report_smefit20_linear/meta/coefficient_summary.tex
index 2e70553a..146069ab 100644
--- a/docs/source/_static/report_smefit20_linear/meta/coefficient_summary.tex
+++ b/docs/source/_static/report_smefit20_linear/meta/coefficient_summary.tex
@@ -62,14 +62,14 @@
  & $c_{dt}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{dt}^{1}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{qd}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
- & $c_{qd}^{1}$ & $\checkmark$ &  & $\checkmark$ & 
+ & $c_{qd}^{1}$ & $\checkmark$ &  & $\checkmark$ &
 \\ \hline
 \multirow{5}{*}{4H}
  & $c_{QQ}^{1}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{QQ}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{Qt}^{1}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{Qt}^{8}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
- & $c_{tt}^{1}$ & $\checkmark$ &  & $\checkmark$ & 
+ & $c_{tt}^{1}$ & $\checkmark$ &  & $\checkmark$ &
 \\ \hline
 \multirow{7}{*}{B}
  & $c_{\varphi G}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
@@ -78,7 +78,7 @@
  & $c_{\varphi WB}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{\varphi \Box}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
  & $c_{\varphi D}$ & $\checkmark$ &  & $\checkmark$ & \\ \cline{2-6}
- & $c_{WWW}$ & $\checkmark$ &  & $\checkmark$ & 
+ & $c_{WWW}$ & $\checkmark$ &  & $\checkmark$ &
 \\ \hline
 \hline & Number fitted coefficients & 36 &  & 36 &  \\ \hline
 \end{tabular}
diff --git a/docs/source/_static/report_smefit20_linear/meta/coefficients_table.css b/docs/source/_static/report_smefit20_linear/meta/coefficients_table.css
index d370b63c..ca63d74a 100644
--- a/docs/source/_static/report_smefit20_linear/meta/coefficients_table.css
+++ b/docs/source/_static/report_smefit20_linear/meta/coefficients_table.css
@@ -1,4 +1,4 @@
- 
+
 /* start css.sty */
 .cmr-5{font-size:50%;}
 .cmr-7{font-size:70%;}
@@ -80,7 +80,7 @@ div.figure img {text-align:center;}
 .reversemarginpar{float:left;}
 table.equation {width:100%;}
 .equation td{text-align:center; }
-td.equation { margin-top:1em; margin-bottom:1em; } 
+td.equation { margin-top:1em; margin-bottom:1em; }
 td.equation-label { width:5%; text-align:center; }
 td.eqnarray4 { width:5%; white-space: normal; }
 td.eqnarray2 { width:5%; }
@@ -166,4 +166,3 @@ div.array {text-align:center;}
 #TBL-1 colgroup{border-left: 1px solid black;border-right:1px solid black;}
 #TBL-1{border-collapse:collapse;}
 /* end css.sty */
-
diff --git a/docs/source/_static/report_smefit20_linear/meta/dataset_summary.css b/docs/source/_static/report_smefit20_linear/meta/dataset_summary.css
index a9da66f9..cf21a14f 100644
--- a/docs/source/_static/report_smefit20_linear/meta/dataset_summary.css
+++ b/docs/source/_static/report_smefit20_linear/meta/dataset_summary.css
@@ -1,4 +1,4 @@
- 
+
 /* start css.sty */
 .cmr-8{font-size:80%;}
 .msam-10x-x-80{font-size:80%;}
@@ -76,7 +76,7 @@ div.figure img {text-align:center;}
 .reversemarginpar{float:left;}
 table.equation {width:100%;}
 .equation td{text-align:center; }
-td.equation { margin-top:1em; margin-bottom:1em; } 
+td.equation { margin-top:1em; margin-bottom:1em; }
 td.equation-label { width:5%; text-align:center; }
 td.eqnarray4 { width:5%; white-space: normal; }
 td.eqnarray2 { width:5%; }
@@ -158,4 +158,3 @@ div.array {text-align:center;}
 #TBL-1 colgroup{border-left: 1px solid black;border-right:1px solid black;}
 #TBL-1{border-collapse:collapse;}
 /* end css.sty */
-
diff --git a/docs/source/_static/report_smefit20_linear/meta/pca_table_mult_prescr_lin.css b/docs/source/_static/report_smefit20_linear/meta/pca_table_mult_prescr_lin.css
index e26d879d..b6214ceb 100644
--- a/docs/source/_static/report_smefit20_linear/meta/pca_table_mult_prescr_lin.css
+++ b/docs/source/_static/report_smefit20_linear/meta/pca_table_mult_prescr_lin.css
@@ -1,4 +1,4 @@
- 
+
 /* start css.sty */
 .cmr-7{font-size:70%;}
 .cmmi-7{font-size:70%;font-style: italic;}
@@ -79,7 +79,7 @@ div.figure img {text-align:center;}
 .reversemarginpar{float:left;}
 table.equation {width:100%;}
 .equation td{text-align:center; }
-td.equation { margin-top:1em; margin-bottom:1em; } 
+td.equation { margin-top:1em; margin-bottom:1em; }
 td.equation-label { width:5%; text-align:center; }
 td.eqnarray4 { width:5%; white-space: normal; }
 td.eqnarray2 { width:5%; }
@@ -153,4 +153,3 @@ table[rules] {border-left:solid black 0.4pt; border-right:solid black 0.4pt; }
 div.array {text-align:center;}
 .rotatebox{display: inline-block;}
 /* end css.sty */
-
diff --git a/docs/source/_static/report_smefit20_linear/meta/pca_table_mult_prescr_lin.tex b/docs/source/_static/report_smefit20_linear/meta/pca_table_mult_prescr_lin.tex
index c56afc1a..65b7e628 100644
--- a/docs/source/_static/report_smefit20_linear/meta/pca_table_mult_prescr_lin.tex
+++ b/docs/source/_static/report_smefit20_linear/meta/pca_table_mult_prescr_lin.tex
@@ -20,547 +20,547 @@
 \begin{document}
 \noindent \underline{\bf{Principal Components Analysis}:} NS\\ \\ \\
 \noindent \textcolor{red}{\underline{\bf{PC 1} (1.28e+11):}}
-{$-0.965$}{\rm $c_{\varphi G}$} 
-{$+0.233$}{\rm $c_{\varphi WB}$} 
-{$+0.104$}{\rm $c_{\varphi D}$} 
-{$-0.058$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.965$}{\rm $c_{\varphi G}$}
+{$+0.233$}{\rm $c_{\varphi WB}$}
+{$+0.104$}{\rm $c_{\varphi D}$}
+{$-0.058$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 2} (1.91e+07):}}
-{$-0.728$}{\rm $c_{tG}$} 
-{$-0.399$}{\rm $c_{qq}^{1,8}$} 
-{$-0.342$}{\rm $c_{qt}^{8}$} 
-{$-0.312$}{\rm $c_{ut}^{8}$} 
-{$+0.164$}{\rm $c_{qu}^{1}$} 
-{$-0.140$}{\rm $c_{dt}^{8}$} 
-{$+0.139$}{\rm $c_{qt}^{1}$} 
-{$-0.104$}{\rm $c_{qq}^{1,1}$} 
-{$-0.064$}{\rm $c_{qu}^{8}$} 
-{$-0.063$}{\rm $c_{ut}^{1}$} 
-{$+0.060$}{\rm $c_{qd}^{1}$} 
-{$-0.045$}{\rm $c_{dt}^{1}$} 
-{$+0.044$}{\rm $c_{\varphi G}$} 
-{$-0.039$}{\rm $c_{qq}^{8,3}$} 
-{$-0.038$}{\rm $c_{qq}^{1,3}$} 
-{$-0.019$}{\rm $c_{qd}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.728$}{\rm $c_{tG}$}
+{$-0.399$}{\rm $c_{qq}^{1,8}$}
+{$-0.342$}{\rm $c_{qt}^{8}$}
+{$-0.312$}{\rm $c_{ut}^{8}$}
+{$+0.164$}{\rm $c_{qu}^{1}$}
+{$-0.140$}{\rm $c_{dt}^{8}$}
+{$+0.139$}{\rm $c_{qt}^{1}$}
+{$-0.104$}{\rm $c_{qq}^{1,1}$}
+{$-0.064$}{\rm $c_{qu}^{8}$}
+{$-0.063$}{\rm $c_{ut}^{1}$}
+{$+0.060$}{\rm $c_{qd}^{1}$}
+{$-0.045$}{\rm $c_{dt}^{1}$}
+{$+0.044$}{\rm $c_{\varphi G}$}
+{$-0.039$}{\rm $c_{qq}^{8,3}$}
+{$-0.038$}{\rm $c_{qq}^{1,3}$}
+{$-0.019$}{\rm $c_{qd}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 3} (1.05e+07):}}
-{$-0.888$}{\rm $c_{\varphi WB}$} 
-{$-0.380$}{\rm $c_{\varphi D}$} 
-{$-0.255$}{\rm $c_{\varphi G}$} 
-{$-0.041$}{\rm $c_{WWW}$} 
-{$+0.015$}{\rm $c_{\varphi B}$} 
-{$-0.012$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.888$}{\rm $c_{\varphi WB}$}
+{$-0.380$}{\rm $c_{\varphi D}$}
+{$-0.255$}{\rm $c_{\varphi G}$}
+{$-0.041$}{\rm $c_{WWW}$}
+{$+0.015$}{\rm $c_{\varphi B}$}
+{$-0.012$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 4} (8.83e+05):}}
-{$-0.668$}{\rm $c_{qq}^{1,8}$} 
-{$+0.459$}{\rm $c_{qt}^{8}$} 
-{$+0.299$}{\rm $c_{qu}^{8}$} 
-{$-0.287$}{\rm $c_{ut}^{8}$} 
-{$+0.234$}{\rm $c_{tG}$} 
-{$-0.184$}{\rm $c_{qt}^{1}$} 
-{$-0.135$}{\rm $c_{qq}^{8,3}$} 
-{$-0.128$}{\rm $c_{dt}^{8}$} 
-{$-0.127$}{\rm $c_{qu}^{1}$} 
-{$-0.103$}{\rm $c_{qq}^{1,1}$} 
-{$-0.088$}{\rm $c_{ut}^{1}$} 
-{$+0.077$}{\rm $c_{qd}^{8}$} 
-{$-0.062$}{\rm $c_{qd}^{1}$} 
-{$-0.038$}{\rm $c_{dt}^{1}$} 
-{$-0.037$}{\rm $c_{qq}^{1,3}$} 
-{$-0.014$}{\rm $c_{\varphi G}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.668$}{\rm $c_{qq}^{1,8}$}
+{$+0.459$}{\rm $c_{qt}^{8}$}
+{$+0.299$}{\rm $c_{qu}^{8}$}
+{$-0.287$}{\rm $c_{ut}^{8}$}
+{$+0.234$}{\rm $c_{tG}$}
+{$-0.184$}{\rm $c_{qt}^{1}$}
+{$-0.135$}{\rm $c_{qq}^{8,3}$}
+{$-0.128$}{\rm $c_{dt}^{8}$}
+{$-0.127$}{\rm $c_{qu}^{1}$}
+{$-0.103$}{\rm $c_{qq}^{1,1}$}
+{$-0.088$}{\rm $c_{ut}^{1}$}
+{$+0.077$}{\rm $c_{qd}^{8}$}
+{$-0.062$}{\rm $c_{qd}^{1}$}
+{$-0.038$}{\rm $c_{dt}^{1}$}
+{$-0.037$}{\rm $c_{qq}^{1,3}$}
+{$-0.014$}{\rm $c_{\varphi G}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 5} (2.87e+05):}}
-{$-0.929$}{\rm $c_{\varphi B}$} 
-{$-0.286$}{\rm $c_{\varphi W}$} 
-{$-0.192$}{\rm $c_{\varphi D}$} 
-{$+0.085$}{\rm $c_{b \varphi}$} 
-{$+0.067$}{\rm $c_{\varphi WB}$} 
-{$-0.056$}{\rm $c_{tW}$} 
-{$+0.050$}{\rm $c_{tZ}$} 
-{$+0.027$}{\rm $c_{c \varphi}$} 
-{$-0.020$}{\rm $c_{WWW}$} 
-{$+0.017$}{\rm $c_{\tau \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.929$}{\rm $c_{\varphi B}$}
+{$-0.286$}{\rm $c_{\varphi W}$}
+{$-0.192$}{\rm $c_{\varphi D}$}
+{$+0.085$}{\rm $c_{b \varphi}$}
+{$+0.067$}{\rm $c_{\varphi WB}$}
+{$-0.056$}{\rm $c_{tW}$}
+{$+0.050$}{\rm $c_{tZ}$}
+{$+0.027$}{\rm $c_{c \varphi}$}
+{$-0.020$}{\rm $c_{WWW}$}
+{$+0.017$}{\rm $c_{\tau \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 6} (2.47e+05):}}
-{$-0.611$}{\rm $c_{tG}$} 
-{$+0.590$}{\rm $c_{qt}^{8}$} 
-{$+0.296$}{\rm $c_{qq}^{1,8}$} 
-{$-0.275$}{\rm $c_{qu}^{1}$} 
-{$-0.199$}{\rm $c_{qq}^{8,3}$} 
-{$-0.196$}{\rm $c_{qt}^{1}$} 
-{$+0.164$}{\rm $c_{ut}^{8}$} 
-{$-0.069$}{\rm $c_{qd}^{1}$} 
-{$+0.066$}{\rm $c_{qu}^{8}$} 
-{$+0.035$}{\rm $c_{\varphi G}$} 
-{$+0.023$}{\rm $c_{dt}^{8}$} 
-{$+0.019$}{\rm $c_{dt}^{1}$} 
-{$-0.015$}{\rm $c_{qd}^{8}$} 
-{$+0.013$}{\rm $c_{\varphi B}$} 
-{$+0.013$}{\rm $c_{WWW}$} 
-{$-0.011$}{\rm $c_{qq}^{1,3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.611$}{\rm $c_{tG}$}
+{$+0.590$}{\rm $c_{qt}^{8}$}
+{$+0.296$}{\rm $c_{qq}^{1,8}$}
+{$-0.275$}{\rm $c_{qu}^{1}$}
+{$-0.199$}{\rm $c_{qq}^{8,3}$}
+{$-0.196$}{\rm $c_{qt}^{1}$}
+{$+0.164$}{\rm $c_{ut}^{8}$}
+{$-0.069$}{\rm $c_{qd}^{1}$}
+{$+0.066$}{\rm $c_{qu}^{8}$}
+{$+0.035$}{\rm $c_{\varphi G}$}
+{$+0.023$}{\rm $c_{dt}^{8}$}
+{$+0.019$}{\rm $c_{dt}^{1}$}
+{$-0.015$}{\rm $c_{qd}^{8}$}
+{$+0.013$}{\rm $c_{\varphi B}$}
+{$+0.013$}{\rm $c_{WWW}$}
+{$-0.011$}{\rm $c_{qq}^{1,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 7} (1.16e+05):}}
-{$-0.600$}{\rm $c_{ut}^{8}$} 
-{$+0.482$}{\rm $c_{qq}^{1,8}$} 
-{$+0.420$}{\rm $c_{qd}^{8}$} 
-{$-0.302$}{\rm $c_{qq}^{8,3}$} 
-{$-0.191$}{\rm $c_{dt}^{8}$} 
-{$+0.166$}{\rm $c_{qu}^{8}$} 
-{$-0.148$}{\rm $c_{qt}^{8}$} 
-{$-0.146$}{\rm $c_{qt}^{1}$} 
-{$-0.109$}{\rm $c_{qq}^{1,1}$} 
-{$-0.096$}{\rm $c_{qq}^{1,3}$} 
-{$+0.085$}{\rm $c_{tG}$} 
-{$-0.055$}{\rm $c_{ut}^{1}$} 
-{$-0.032$}{\rm $c_{dt}^{1}$} 
-{$-0.016$}{\rm $c_{qu}^{1}$} 
-{$-0.013$}{\rm $c_{qd}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.600$}{\rm $c_{ut}^{8}$}
+{$+0.482$}{\rm $c_{qq}^{1,8}$}
+{$+0.420$}{\rm $c_{qd}^{8}$}
+{$-0.302$}{\rm $c_{qq}^{8,3}$}
+{$-0.191$}{\rm $c_{dt}^{8}$}
+{$+0.166$}{\rm $c_{qu}^{8}$}
+{$-0.148$}{\rm $c_{qt}^{8}$}
+{$-0.146$}{\rm $c_{qt}^{1}$}
+{$-0.109$}{\rm $c_{qq}^{1,1}$}
+{$-0.096$}{\rm $c_{qq}^{1,3}$}
+{$+0.085$}{\rm $c_{tG}$}
+{$-0.055$}{\rm $c_{ut}^{1}$}
+{$-0.032$}{\rm $c_{dt}^{1}$}
+{$-0.016$}{\rm $c_{qu}^{1}$}
+{$-0.013$}{\rm $c_{qd}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 8} (5.89e+04):}}
-{$+0.974$}{\rm $c_{WWW}$} 
-{$-0.195$}{\rm $c_{\varphi D}$} 
-{$-0.065$}{\rm $c_{\varphi \Box}$} 
-{$+0.043$}{\rm $c_{\varphi WB}$} 
-{$+0.042$}{\rm $c_{qu}^{8}$} 
-{$+0.041$}{\rm $c_{t \varphi}$} 
-{$+0.034$}{\rm $c_{qq}^{8,3}$} 
-{$+0.033$}{\rm $c_{qu}^{1}$} 
-{$+0.025$}{\rm $c_{qt}^{1}$} 
-{$+0.020$}{\rm $c_{qd}^{8}$} 
-{$+0.018$}{\rm $c_{\varphi B}$} 
-{$+0.015$}{\rm $c_{\varphi W}$} 
-{$-0.011$}{\rm $c_{\varphi G}$} 
-{$+0.010$}{\rm $c_{qd}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.974$}{\rm $c_{WWW}$}
+{$-0.195$}{\rm $c_{\varphi D}$}
+{$-0.065$}{\rm $c_{\varphi \Box}$}
+{$+0.043$}{\rm $c_{\varphi WB}$}
+{$+0.042$}{\rm $c_{qu}^{8}$}
+{$+0.041$}{\rm $c_{t \varphi}$}
+{$+0.034$}{\rm $c_{qq}^{8,3}$}
+{$+0.033$}{\rm $c_{qu}^{1}$}
+{$+0.025$}{\rm $c_{qt}^{1}$}
+{$+0.020$}{\rm $c_{qd}^{8}$}
+{$+0.018$}{\rm $c_{\varphi B}$}
+{$+0.015$}{\rm $c_{\varphi W}$}
+{$-0.011$}{\rm $c_{\varphi G}$}
+{$+0.010$}{\rm $c_{qd}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 9} (1.21e+04):}}
-{$+0.471$}{\rm $c_{qq}^{1,1}$} 
-{$+0.413$}{\rm $c_{qu}^{1}$} 
-{$+0.402$}{\rm $c_{qt}^{1}$} 
-{$+0.369$}{\rm $c_{qu}^{8}$} 
-{$+0.298$}{\rm $c_{ut}^{1}$} 
-{$+0.266$}{\rm $c_{qt}^{8}$} 
-{$+0.258$}{\rm $c_{qd}^{8}$} 
-{$+0.162$}{\rm $c_{qq}^{1,3}$} 
-{$+0.149$}{\rm $c_{qd}^{1}$} 
-{$+0.100$}{\rm $c_{dt}^{1}$} 
-{$+0.100$}{\rm $c_{qq}^{8,3}$} 
-{$-0.081$}{\rm $c_{tG}$} 
-{$-0.071$}{\rm $c_{ut}^{8}$} 
-{$-0.045$}{\rm $c_{WWW}$} 
-{$+0.033$}{\rm $c_{qq}^{1,8}$} 
-{$-0.013$}{\rm $c_{dt}^{8}$} 
-{$+0.012$}{\rm $c_{\varphi D}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.471$}{\rm $c_{qq}^{1,1}$}
+{$+0.413$}{\rm $c_{qu}^{1}$}
+{$+0.402$}{\rm $c_{qt}^{1}$}
+{$+0.369$}{\rm $c_{qu}^{8}$}
+{$+0.298$}{\rm $c_{ut}^{1}$}
+{$+0.266$}{\rm $c_{qt}^{8}$}
+{$+0.258$}{\rm $c_{qd}^{8}$}
+{$+0.162$}{\rm $c_{qq}^{1,3}$}
+{$+0.149$}{\rm $c_{qd}^{1}$}
+{$+0.100$}{\rm $c_{dt}^{1}$}
+{$+0.100$}{\rm $c_{qq}^{8,3}$}
+{$-0.081$}{\rm $c_{tG}$}
+{$-0.071$}{\rm $c_{ut}^{8}$}
+{$-0.045$}{\rm $c_{WWW}$}
+{$+0.033$}{\rm $c_{qq}^{1,8}$}
+{$-0.013$}{\rm $c_{dt}^{8}$}
+{$+0.012$}{\rm $c_{\varphi D}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 10} (8.61e+03):}}
-{$+0.543$}{\rm $c_{qt}^{1}$} 
-{$-0.420$}{\rm $c_{qq}^{8,3}$} 
-{$-0.409$}{\rm $c_{qd}^{8}$} 
-{$-0.398$}{\rm $c_{qu}^{8}$} 
-{$+0.289$}{\rm $c_{qt}^{8}$} 
-{$-0.253$}{\rm $c_{ut}^{8}$} 
-{$+0.146$}{\rm $c_{tG}$} 
-{$-0.100$}{\rm $c_{dt}^{8}$} 
-{$-0.097$}{\rm $c_{qq}^{1,1}$} 
-{$+0.085$}{\rm $c_{qq}^{1,8}$} 
-{$+0.069$}{\rm $c_{qu}^{1}$} 
-{$+0.039$}{\rm $c_{dt}^{1}$} 
-{$+0.027$}{\rm $c_{qd}^{1}$} 
-{$+0.021$}{\rm $c_{WWW}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.543$}{\rm $c_{qt}^{1}$}
+{$-0.420$}{\rm $c_{qq}^{8,3}$}
+{$-0.409$}{\rm $c_{qd}^{8}$}
+{$-0.398$}{\rm $c_{qu}^{8}$}
+{$+0.289$}{\rm $c_{qt}^{8}$}
+{$-0.253$}{\rm $c_{ut}^{8}$}
+{$+0.146$}{\rm $c_{tG}$}
+{$-0.100$}{\rm $c_{dt}^{8}$}
+{$-0.097$}{\rm $c_{qq}^{1,1}$}
+{$+0.085$}{\rm $c_{qq}^{1,8}$}
+{$+0.069$}{\rm $c_{qu}^{1}$}
+{$+0.039$}{\rm $c_{dt}^{1}$}
+{$+0.027$}{\rm $c_{qd}^{1}$}
+{$+0.021$}{\rm $c_{WWW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 11} (5.20e+03):}}
-{$-0.836$}{\rm $c_{b \varphi}$} 
-{$+0.500$}{\rm $c_{\tau \varphi}$} 
-{$-0.211$}{\rm $c_{c \varphi}$} 
-{$-0.073$}{\rm $c_{\varphi B}$} 
-{$-0.024$}{\rm $c_{\varphi D}$} 
-{$+0.021$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{\varphi WB}$} 
-{$-0.010$}{\rm $c_{WWW}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.836$}{\rm $c_{b \varphi}$}
+{$+0.500$}{\rm $c_{\tau \varphi}$}
+{$-0.211$}{\rm $c_{c \varphi}$}
+{$-0.073$}{\rm $c_{\varphi B}$}
+{$-0.024$}{\rm $c_{\varphi D}$}
+{$+0.021$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{\varphi WB}$}
+{$-0.010$}{\rm $c_{WWW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 12} (3.36e+03):}}
-{$-0.866$}{\rm $c_{\tau \varphi}$} 
-{$-0.476$}{\rm $c_{b \varphi}$} 
-{$-0.139$}{\rm $c_{c \varphi}$} 
-{$-0.061$}{\rm $c_{\varphi B}$} 
-{$-0.025$}{\rm $c_{\varphi D}$} 
-{$+0.015$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{\varphi WB}$} 
-{$+0.011$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.866$}{\rm $c_{\tau \varphi}$}
+{$-0.476$}{\rm $c_{b \varphi}$}
+{$-0.139$}{\rm $c_{c \varphi}$}
+{$-0.061$}{\rm $c_{\varphi B}$}
+{$-0.025$}{\rm $c_{\varphi D}$}
+{$+0.015$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{\varphi WB}$}
+{$+0.011$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 13} (9.15e+02):}}
-{$-0.998$}{\rm $c_{tW}$} 
-{$+0.052$}{\rm $c_{\varphi B}$} 
-{$+0.016$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{\varphi D}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.998$}{\rm $c_{tW}$}
+{$+0.052$}{\rm $c_{\varphi B}$}
+{$+0.016$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{\varphi D}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 14} (4.77e+02):}}
-{$-0.592$}{\rm $c_{qq}^{8,3}$} 
-{$+0.456$}{\rm $c_{qd}^{1}$} 
-{$+0.447$}{\rm $c_{ut}^{8}$} 
-{$-0.353$}{\rm $c_{dt}^{1}$} 
-{$+0.191$}{\rm $c_{qu}^{1}$} 
-{$+0.153$}{\rm $c_{qd}^{8}$} 
-{$-0.146$}{\rm $c_{dt}^{8}$} 
-{$-0.103$}{\rm $c_{qt}^{8}$} 
-{$-0.094$}{\rm $c_{qt}^{1}$} 
-{$-0.092$}{\rm $c_{qq}^{1,8}$} 
-{$+0.048$}{\rm $c_{qq}^{1,3}$} 
-{$+0.047$}{\rm $c_{qu}^{8}$} 
-{$+0.046$}{\rm $c_{tG}$} 
-{$-0.024$}{\rm $c_{qq}^{1,1}$} 
-{$-0.011$}{\rm $c_{ut}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.592$}{\rm $c_{qq}^{8,3}$}
+{$+0.456$}{\rm $c_{qd}^{1}$}
+{$+0.447$}{\rm $c_{ut}^{8}$}
+{$-0.353$}{\rm $c_{dt}^{1}$}
+{$+0.191$}{\rm $c_{qu}^{1}$}
+{$+0.153$}{\rm $c_{qd}^{8}$}
+{$-0.146$}{\rm $c_{dt}^{8}$}
+{$-0.103$}{\rm $c_{qt}^{8}$}
+{$-0.094$}{\rm $c_{qt}^{1}$}
+{$-0.092$}{\rm $c_{qq}^{1,8}$}
+{$+0.048$}{\rm $c_{qq}^{1,3}$}
+{$+0.047$}{\rm $c_{qu}^{8}$}
+{$+0.046$}{\rm $c_{tG}$}
+{$-0.024$}{\rm $c_{qq}^{1,1}$}
+{$-0.011$}{\rm $c_{ut}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 15} (4.11e+02):}}
-{$+0.515$}{\rm $c_{qq}^{1,1}$} 
-{$+0.448$}{\rm $c_{ut}^{1}$} 
-{$-0.414$}{\rm $c_{qu}^{8}$} 
-{$+0.296$}{\rm $c_{qq}^{1,3}$} 
-{$-0.283$}{\rm $c_{qt}^{1}$} 
-{$-0.229$}{\rm $c_{qu}^{1}$} 
-{$-0.197$}{\rm $c_{dt}^{1}$} 
-{$-0.178$}{\rm $c_{ut}^{8}$} 
-{$-0.143$}{\rm $c_{qd}^{1}$} 
-{$-0.134$}{\rm $c_{qq}^{8,3}$} 
-{$-0.125$}{\rm $c_{qq}^{1,8}$} 
-{$-0.082$}{\rm $c_{dt}^{8}$} 
-{$-0.080$}{\rm $c_{qt}^{8}$} 
-{$-0.046$}{\rm $c_{\varphi D}$} 
-{$+0.036$}{\rm $c_{WWW}$} 
-{$+0.022$}{\rm $c_{qd}^{8}$} 
-{$+0.012$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.515$}{\rm $c_{qq}^{1,1}$}
+{$+0.448$}{\rm $c_{ut}^{1}$}
+{$-0.414$}{\rm $c_{qu}^{8}$}
+{$+0.296$}{\rm $c_{qq}^{1,3}$}
+{$-0.283$}{\rm $c_{qt}^{1}$}
+{$-0.229$}{\rm $c_{qu}^{1}$}
+{$-0.197$}{\rm $c_{dt}^{1}$}
+{$-0.178$}{\rm $c_{ut}^{8}$}
+{$-0.143$}{\rm $c_{qd}^{1}$}
+{$-0.134$}{\rm $c_{qq}^{8,3}$}
+{$-0.125$}{\rm $c_{qq}^{1,8}$}
+{$-0.082$}{\rm $c_{dt}^{8}$}
+{$-0.080$}{\rm $c_{qt}^{8}$}
+{$-0.046$}{\rm $c_{\varphi D}$}
+{$+0.036$}{\rm $c_{WWW}$}
+{$+0.022$}{\rm $c_{qd}^{8}$}
+{$+0.012$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 16} (2.11e+02):}}
-{$-0.926$}{\rm $c_{c \varphi}$} 
-{$-0.281$}{\rm $c_{\varphi W}$} 
-{$+0.227$}{\rm $c_{b \varphi}$} 
-{$+0.078$}{\rm $c_{\varphi B}$} 
-{$-0.072$}{\rm $c_{\varphi \Box}$} 
-{$+0.021$}{\rm $c_{t \varphi}$} 
-{$+0.013$}{\rm $c_{\varphi D}$} 
-{$+0.012$}{\rm $c_{\tau \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.926$}{\rm $c_{c \varphi}$}
+{$-0.281$}{\rm $c_{\varphi W}$}
+{$+0.227$}{\rm $c_{b \varphi}$}
+{$+0.078$}{\rm $c_{\varphi B}$}
+{$-0.072$}{\rm $c_{\varphi \Box}$}
+{$+0.021$}{\rm $c_{t \varphi}$}
+{$+0.013$}{\rm $c_{\varphi D}$}
+{$+0.012$}{\rm $c_{\tau \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 17} (1.04e+02):}}
-{$+0.854$}{\rm $c_{\varphi D}$} 
-{$-0.375$}{\rm $c_{\varphi WB}$} 
-{$-0.204$}{\rm $c_{\varphi B}$} 
-{$-0.194$}{\rm $c_{\varphi \Box}$} 
-{$+0.174$}{\rm $c_{WWW}$} 
-{$+0.115$}{\rm $c_{t \varphi}$} 
-{$-0.064$}{\rm $c_{dt}^{1}$} 
-{$+0.025$}{\rm $c_{ut}^{1}$} 
-{$-0.024$}{\rm $c_{qu}^{8}$} 
-{$-0.024$}{\rm $c_{b \varphi}$} 
-{$+0.020$}{\rm $c_{qq}^{1,3}$} 
-{$+0.020$}{\rm $c_{qq}^{8,3}$} 
-{$+0.012$}{\rm $c_{c \varphi}$} 
-{$+0.012$}{\rm $c_{qt}^{8}$} 
-{$-0.012$}{\rm $c_{ut}^{8}$} 
-{$-0.011$}{\rm $c_{\varphi W}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.854$}{\rm $c_{\varphi D}$}
+{$-0.375$}{\rm $c_{\varphi WB}$}
+{$-0.204$}{\rm $c_{\varphi B}$}
+{$-0.194$}{\rm $c_{\varphi \Box}$}
+{$+0.174$}{\rm $c_{WWW}$}
+{$+0.115$}{\rm $c_{t \varphi}$}
+{$-0.064$}{\rm $c_{dt}^{1}$}
+{$+0.025$}{\rm $c_{ut}^{1}$}
+{$-0.024$}{\rm $c_{qu}^{8}$}
+{$-0.024$}{\rm $c_{b \varphi}$}
+{$+0.020$}{\rm $c_{qq}^{1,3}$}
+{$+0.020$}{\rm $c_{qq}^{8,3}$}
+{$+0.012$}{\rm $c_{c \varphi}$}
+{$+0.012$}{\rm $c_{qt}^{8}$}
+{$-0.012$}{\rm $c_{ut}^{8}$}
+{$-0.011$}{\rm $c_{\varphi W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 18} (5.47e+01):}}
-{$+0.887$}{\rm $c_{\varphi W}$} 
-{$-0.275$}{\rm $c_{c \varphi}$} 
-{$-0.269$}{\rm $c_{\varphi B}$} 
-{$+0.164$}{\rm $c_{\varphi \Box}$} 
-{$+0.124$}{\rm $c_{b \varphi}$} 
-{$-0.071$}{\rm $c_{qq}^{1,3}$} 
-{$-0.070$}{\rm $c_{dt}^{8}$} 
-{$+0.051$}{\rm $c_{qq}^{8,3}$} 
-{$+0.049$}{\rm $c_{qu}^{1}$} 
-{$+0.045$}{\rm $c_{ut}^{1}$} 
-{$-0.041$}{\rm $c_{qt}^{1}$} 
-{$-0.035$}{\rm $c_{qu}^{8}$} 
-{$+0.032$}{\rm $c_{qt}^{8}$} 
-{$-0.030$}{\rm $c_{t \varphi}$} 
-{$+0.026$}{\rm $c_{qd}^{1}$} 
-{$-0.015$}{\rm $c_{qq}^{1,1}$} 
-{$-0.013$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.012$}{\rm $c_{qd}^{8}$} 
-{$+0.012$}{\rm $c_{\tau \varphi}$} 
-{$-0.011$}{\rm $c_{\varphi t}$} 
-{$+0.010$}{\rm $c_{qq}^{1,8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.887$}{\rm $c_{\varphi W}$}
+{$-0.275$}{\rm $c_{c \varphi}$}
+{$-0.269$}{\rm $c_{\varphi B}$}
+{$+0.164$}{\rm $c_{\varphi \Box}$}
+{$+0.124$}{\rm $c_{b \varphi}$}
+{$-0.071$}{\rm $c_{qq}^{1,3}$}
+{$-0.070$}{\rm $c_{dt}^{8}$}
+{$+0.051$}{\rm $c_{qq}^{8,3}$}
+{$+0.049$}{\rm $c_{qu}^{1}$}
+{$+0.045$}{\rm $c_{ut}^{1}$}
+{$-0.041$}{\rm $c_{qt}^{1}$}
+{$-0.035$}{\rm $c_{qu}^{8}$}
+{$+0.032$}{\rm $c_{qt}^{8}$}
+{$-0.030$}{\rm $c_{t \varphi}$}
+{$+0.026$}{\rm $c_{qd}^{1}$}
+{$-0.015$}{\rm $c_{qq}^{1,1}$}
+{$-0.013$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.012$}{\rm $c_{qd}^{8}$}
+{$+0.012$}{\rm $c_{\tau \varphi}$}
+{$-0.011$}{\rm $c_{\varphi t}$}
+{$+0.010$}{\rm $c_{qq}^{1,8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 19} (5.02e+01):}}
-{$-0.465$}{\rm $c_{qq}^{1,3}$} 
-{$-0.413$}{\rm $c_{dt}^{8}$} 
-{$+0.365$}{\rm $c_{qu}^{1}$} 
-{$+0.325$}{\rm $c_{qq}^{8,3}$} 
-{$+0.307$}{\rm $c_{ut}^{1}$} 
-{$-0.280$}{\rm $c_{qt}^{1}$} 
-{$-0.236$}{\rm $c_{qu}^{8}$} 
-{$+0.224$}{\rm $c_{qt}^{8}$} 
-{$+0.165$}{\rm $c_{qd}^{1}$} 
-{$-0.135$}{\rm $c_{dt}^{1}$} 
-{$-0.133$}{\rm $c_{\varphi W}$} 
-{$-0.121$}{\rm $c_{qq}^{1,1}$} 
-{$-0.085$}{\rm $c_{qd}^{8}$} 
-{$+0.071$}{\rm $c_{qq}^{1,8}$} 
-{$+0.046$}{\rm $c_{\varphi B}$} 
-{$+0.038$}{\rm $c_{c \varphi}$} 
-{$-0.022$}{\rm $c_{ut}^{8}$} 
-{$-0.021$}{\rm $c_{\varphi D}$} 
-{$-0.019$}{\rm $c_{\varphi \Box}$} 
-{$-0.017$}{\rm $c_{b \varphi}$} 
-{$+0.016$}{\rm $c_{tG}$} 
-{$-0.010$}{\rm $c_{WWW}$} 
-{$+0.010$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.465$}{\rm $c_{qq}^{1,3}$}
+{$-0.413$}{\rm $c_{dt}^{8}$}
+{$+0.365$}{\rm $c_{qu}^{1}$}
+{$+0.325$}{\rm $c_{qq}^{8,3}$}
+{$+0.307$}{\rm $c_{ut}^{1}$}
+{$-0.280$}{\rm $c_{qt}^{1}$}
+{$-0.236$}{\rm $c_{qu}^{8}$}
+{$+0.224$}{\rm $c_{qt}^{8}$}
+{$+0.165$}{\rm $c_{qd}^{1}$}
+{$-0.135$}{\rm $c_{dt}^{1}$}
+{$-0.133$}{\rm $c_{\varphi W}$}
+{$-0.121$}{\rm $c_{qq}^{1,1}$}
+{$-0.085$}{\rm $c_{qd}^{8}$}
+{$+0.071$}{\rm $c_{qq}^{1,8}$}
+{$+0.046$}{\rm $c_{\varphi B}$}
+{$+0.038$}{\rm $c_{c \varphi}$}
+{$-0.022$}{\rm $c_{ut}^{8}$}
+{$-0.021$}{\rm $c_{\varphi D}$}
+{$-0.019$}{\rm $c_{\varphi \Box}$}
+{$-0.017$}{\rm $c_{b \varphi}$}
+{$+0.016$}{\rm $c_{tG}$}
+{$-0.010$}{\rm $c_{WWW}$}
+{$+0.010$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 20} (1.48e+01):}}
-{$+0.513$}{\rm $c_{ut}^{1}$} 
-{$-0.492$}{\rm $c_{qq}^{1,3}$} 
-{$+0.468$}{\rm $c_{dt}^{1}$} 
-{$+0.279$}{\rm $c_{dt}^{8}$} 
-{$-0.258$}{\rm $c_{qq}^{8,3}$} 
-{$-0.209$}{\rm $c_{qu}^{1}$} 
-{$+0.147$}{\rm $c_{qd}^{8}$} 
-{$-0.145$}{\rm $c_{qq}^{1,8}$} 
-{$-0.134$}{\rm $c_{qt}^{8}$} 
-{$+0.096$}{\rm $c_{qd}^{1}$} 
-{$-0.074$}{\rm $c_{qq}^{1,1}$} 
-{$+0.071$}{\rm $c_{ut}^{8}$} 
-{$+0.060$}{\rm $c_{qt}^{1}$} 
-{$+0.032$}{\rm $c_{\varphi D}$} 
-{$+0.027$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.020$}{\rm $c_{\varphi t}$} 
-{$+0.020$}{\rm $c_{WWW}$} 
-{$-0.016$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.513$}{\rm $c_{ut}^{1}$}
+{$-0.492$}{\rm $c_{qq}^{1,3}$}
+{$+0.468$}{\rm $c_{dt}^{1}$}
+{$+0.279$}{\rm $c_{dt}^{8}$}
+{$-0.258$}{\rm $c_{qq}^{8,3}$}
+{$-0.209$}{\rm $c_{qu}^{1}$}
+{$+0.147$}{\rm $c_{qd}^{8}$}
+{$-0.145$}{\rm $c_{qq}^{1,8}$}
+{$-0.134$}{\rm $c_{qt}^{8}$}
+{$+0.096$}{\rm $c_{qd}^{1}$}
+{$-0.074$}{\rm $c_{qq}^{1,1}$}
+{$+0.071$}{\rm $c_{ut}^{8}$}
+{$+0.060$}{\rm $c_{qt}^{1}$}
+{$+0.032$}{\rm $c_{\varphi D}$}
+{$+0.027$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.020$}{\rm $c_{\varphi t}$}
+{$+0.020$}{\rm $c_{WWW}$}
+{$-0.016$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 21} (1.05e+01):}}
-{$-0.576$}{\rm $c_{qq}^{1,1}$} 
-{$+0.499$}{\rm $c_{qq}^{1,3}$} 
-{$+0.319$}{\rm $c_{qd}^{8}$} 
-{$+0.311$}{\rm $c_{ut}^{1}$} 
-{$+0.281$}{\rm $c_{qd}^{1}$} 
-{$+0.228$}{\rm $c_{qq}^{8,3}$} 
-{$-0.187$}{\rm $c_{qu}^{8}$} 
-{$-0.150$}{\rm $c_{qu}^{1}$} 
-{$+0.120$}{\rm $c_{qt}^{1}$} 
-{$+0.119$}{\rm $c_{qt}^{8}$} 
-{$-0.028$}{\rm $c_{ut}^{8}$} 
-{$-0.026$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.024$}{\rm $c_{\varphi D}$} 
-{$+0.022$}{\rm $c_{dt}^{8}$} 
-{$+0.019$}{\rm $c_{\varphi t}$} 
-{$-0.016$}{\rm $c_{qq}^{1,8}$} 
-{$-0.015$}{\rm $c_{WWW}$} 
-{$+0.012$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.576$}{\rm $c_{qq}^{1,1}$}
+{$+0.499$}{\rm $c_{qq}^{1,3}$}
+{$+0.319$}{\rm $c_{qd}^{8}$}
+{$+0.311$}{\rm $c_{ut}^{1}$}
+{$+0.281$}{\rm $c_{qd}^{1}$}
+{$+0.228$}{\rm $c_{qq}^{8,3}$}
+{$-0.187$}{\rm $c_{qu}^{8}$}
+{$-0.150$}{\rm $c_{qu}^{1}$}
+{$+0.120$}{\rm $c_{qt}^{1}$}
+{$+0.119$}{\rm $c_{qt}^{8}$}
+{$-0.028$}{\rm $c_{ut}^{8}$}
+{$-0.026$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.024$}{\rm $c_{\varphi D}$}
+{$+0.022$}{\rm $c_{dt}^{8}$}
+{$+0.019$}{\rm $c_{\varphi t}$}
+{$-0.016$}{\rm $c_{qq}^{1,8}$}
+{$-0.015$}{\rm $c_{WWW}$}
+{$+0.012$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 22} (8.84e+00):}}
-{$-0.672$}{\rm $c_{qd}^{1}$} 
-{$-0.410$}{\rm $c_{dt}^{1}$} 
-{$+0.350$}{\rm $c_{qd}^{8}$} 
-{$+0.327$}{\rm $c_{qt}^{1}$} 
-{$+0.230$}{\rm $c_{ut}^{8}$} 
-{$-0.183$}{\rm $c_{qq}^{1,3}$} 
-{$-0.168$}{\rm $c_{qq}^{1,1}$} 
-{$+0.147$}{\rm $c_{ut}^{1}$} 
-{$-0.051$}{\rm $c_{dt}^{8}$} 
-{$-0.050$}{\rm $c_{qq}^{1,8}$} 
-{$-0.043$}{\rm $c_{qq}^{8,3}$} 
-{$-0.043$}{\rm $c_{qu}^{8}$} 
-{$+0.043$}{\rm $c_{qu}^{1}$} 
-{$-0.039$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.029$}{\rm $c_{\varphi t}$} 
-{$-0.026$}{\rm $c_{\varphi D}$} 
-{$-0.017$}{\rm $c_{WWW}$} 
-{$+0.014$}{\rm $c_{\varphi WB}$} 
-{$+0.011$}{\rm $c_{qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.672$}{\rm $c_{qd}^{1}$}
+{$-0.410$}{\rm $c_{dt}^{1}$}
+{$+0.350$}{\rm $c_{qd}^{8}$}
+{$+0.327$}{\rm $c_{qt}^{1}$}
+{$+0.230$}{\rm $c_{ut}^{8}$}
+{$-0.183$}{\rm $c_{qq}^{1,3}$}
+{$-0.168$}{\rm $c_{qq}^{1,1}$}
+{$+0.147$}{\rm $c_{ut}^{1}$}
+{$-0.051$}{\rm $c_{dt}^{8}$}
+{$-0.050$}{\rm $c_{qq}^{1,8}$}
+{$-0.043$}{\rm $c_{qq}^{8,3}$}
+{$-0.043$}{\rm $c_{qu}^{8}$}
+{$+0.043$}{\rm $c_{qu}^{1}$}
+{$-0.039$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.029$}{\rm $c_{\varphi t}$}
+{$-0.026$}{\rm $c_{\varphi D}$}
+{$-0.017$}{\rm $c_{WWW}$}
+{$+0.014$}{\rm $c_{\varphi WB}$}
+{$+0.011$}{\rm $c_{qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 23} (5.40e+00):}}
-{$+0.732$}{\rm $c_{dt}^{8}$} 
-{$+0.497$}{\rm $c_{qu}^{1}$} 
-{$-0.266$}{\rm $c_{qt}^{1}$} 
-{$-0.192$}{\rm $c_{qu}^{8}$} 
-{$-0.181$}{\rm $c_{ut}^{8}$} 
-{$+0.142$}{\rm $c_{qt}^{8}$} 
-{$-0.135$}{\rm $c_{dt}^{1}$} 
-{$-0.101$}{\rm $c_{qq}^{8,3}$} 
-{$-0.093$}{\rm $c_{qq}^{1,1}$} 
-{$-0.081$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.062$}{\rm $c_{qd}^{1}$} 
-{$+0.062$}{\rm $c_{\varphi t}$} 
-{$+0.048$}{\rm $c_{qd}^{8}$} 
-{$-0.026$}{\rm $c_{ut}^{1}$} 
-{$-0.023$}{\rm $c_{qq}^{1,8}$} 
-{$-0.022$}{\rm $c_{\varphi \Box}$} 
-{$+0.018$}{\rm $c_{\varphi W}$} 
-{$-0.018$}{\rm $c_{tG}$} 
-{$-0.018$}{\rm $c_{\varphi D}$} 
-{$+0.017$}{\rm $c_{t \varphi}$} 
-{$+0.016$}{\rm $c_{qq}^{1,3}$} 
-{$-0.011$}{\rm $c_{WWW}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.732$}{\rm $c_{dt}^{8}$}
+{$+0.497$}{\rm $c_{qu}^{1}$}
+{$-0.266$}{\rm $c_{qt}^{1}$}
+{$-0.192$}{\rm $c_{qu}^{8}$}
+{$-0.181$}{\rm $c_{ut}^{8}$}
+{$+0.142$}{\rm $c_{qt}^{8}$}
+{$-0.135$}{\rm $c_{dt}^{1}$}
+{$-0.101$}{\rm $c_{qq}^{8,3}$}
+{$-0.093$}{\rm $c_{qq}^{1,1}$}
+{$-0.081$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.062$}{\rm $c_{qd}^{1}$}
+{$+0.062$}{\rm $c_{\varphi t}$}
+{$+0.048$}{\rm $c_{qd}^{8}$}
+{$-0.026$}{\rm $c_{ut}^{1}$}
+{$-0.023$}{\rm $c_{qq}^{1,8}$}
+{$-0.022$}{\rm $c_{\varphi \Box}$}
+{$+0.018$}{\rm $c_{\varphi W}$}
+{$-0.018$}{\rm $c_{tG}$}
+{$-0.018$}{\rm $c_{\varphi D}$}
+{$+0.017$}{\rm $c_{t \varphi}$}
+{$+0.016$}{\rm $c_{qq}^{1,3}$}
+{$-0.011$}{\rm $c_{WWW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 24} (3.35e+00):}}
-{$+0.765$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.574$}{\rm $c_{\varphi t}$} 
-{$+0.203$}{\rm $c_{\varphi \Box}$} 
-{$-0.094$}{\rm $c_{t \varphi}$} 
-{$+0.092$}{\rm $c_{qu}^{1}$} 
-{$-0.065$}{\rm $c_{qu}^{8}$} 
-{$+0.063$}{\rm $c_{qd}^{8}$} 
-{$-0.058$}{\rm $c_{qd}^{1}$} 
-{$-0.052$}{\rm $c_{\varphi W}$} 
-{$+0.048$}{\rm $c_{\varphi D}$} 
-{$+0.041$}{\rm $c_{qq}^{1,3}$} 
-{$+0.037$}{\rm $c_{dt}^{8}$} 
-{$-0.035$}{\rm $c_{qq}^{1,1}$} 
-{$+0.032$}{\rm $c_{qt}^{8}$} 
-{$+0.031$}{\rm $c_{WWW}$} 
-{$-0.029$}{\rm $c_{ut}^{1}$} 
-{$-0.026$}{\rm $c_{qt}^{1}$} 
-{$-0.025$}{\rm $c_{\varphi WB}$} 
-{$-0.020$}{\rm $c_{tZ}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.765$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.574$}{\rm $c_{\varphi t}$}
+{$+0.203$}{\rm $c_{\varphi \Box}$}
+{$-0.094$}{\rm $c_{t \varphi}$}
+{$+0.092$}{\rm $c_{qu}^{1}$}
+{$-0.065$}{\rm $c_{qu}^{8}$}
+{$+0.063$}{\rm $c_{qd}^{8}$}
+{$-0.058$}{\rm $c_{qd}^{1}$}
+{$-0.052$}{\rm $c_{\varphi W}$}
+{$+0.048$}{\rm $c_{\varphi D}$}
+{$+0.041$}{\rm $c_{qq}^{1,3}$}
+{$+0.037$}{\rm $c_{dt}^{8}$}
+{$-0.035$}{\rm $c_{qq}^{1,1}$}
+{$+0.032$}{\rm $c_{qt}^{8}$}
+{$+0.031$}{\rm $c_{WWW}$}
+{$-0.029$}{\rm $c_{ut}^{1}$}
+{$-0.026$}{\rm $c_{qt}^{1}$}
+{$-0.025$}{\rm $c_{\varphi WB}$}
+{$-0.020$}{\rm $c_{tZ}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 25} (3.18e+00):}}
-{$+0.842$}{\rm $c_{\varphi \Box}$} 
-{$-0.384$}{\rm $c_{t \varphi}$} 
-{$-0.196$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.176$}{\rm $c_{\varphi D}$} 
-{$-0.171$}{\rm $c_{\varphi W}$} 
-{$+0.146$}{\rm $c_{\varphi t}$} 
-{$+0.114$}{\rm $c_{WWW}$} 
-{$-0.091$}{\rm $c_{\varphi WB}$} 
-{$+0.020$}{\rm $c_{tZ}$} 
-{$-0.017$}{\rm $c_{c \varphi}$} 
-{$+0.015$}{\rm $c_{dt}^{1}$} 
-{$+0.013$}{\rm $c_{qd}^{8}$} 
-{$+0.013$}{\rm $c_{qu}^{1}$} 
-{$-0.012$}{\rm $c_{qu}^{8}$} 
-{$-0.011$}{\rm $c_{qd}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.842$}{\rm $c_{\varphi \Box}$}
+{$-0.384$}{\rm $c_{t \varphi}$}
+{$-0.196$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.176$}{\rm $c_{\varphi D}$}
+{$-0.171$}{\rm $c_{\varphi W}$}
+{$+0.146$}{\rm $c_{\varphi t}$}
+{$+0.114$}{\rm $c_{WWW}$}
+{$-0.091$}{\rm $c_{\varphi WB}$}
+{$+0.020$}{\rm $c_{tZ}$}
+{$-0.017$}{\rm $c_{c \varphi}$}
+{$+0.015$}{\rm $c_{dt}^{1}$}
+{$+0.013$}{\rm $c_{qd}^{8}$}
+{$+0.013$}{\rm $c_{qu}^{1}$}
+{$-0.012$}{\rm $c_{qu}^{8}$}
+{$-0.011$}{\rm $c_{qd}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 26} (1.40e+00):}}
-{$-0.520$}{\rm $c_{dt}^{1}$} 
-{$-0.456$}{\rm $c_{qd}^{8}$} 
-{$+0.455$}{\rm $c_{qu}^{8}$} 
-{$+0.369$}{\rm $c_{ut}^{1}$} 
-{$+0.213$}{\rm $c_{dt}^{8}$} 
-{$-0.184$}{\rm $c_{qu}^{1}$} 
-{$-0.169$}{\rm $c_{ut}^{8}$} 
-{$-0.125$}{\rm $c_{qq}^{1,1}$} 
-{$+0.106$}{\rm $c_{qq}^{1,8}$} 
-{$-0.105$}{\rm $c_{qt}^{8}$} 
-{$+0.105$}{\rm $c_{qd}^{1}$} 
-{$+0.069$}{\rm $c_{qt}^{1}$} 
-{$+0.068$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.066$}{\rm $c_{\varphi \Box}$} 
-{$+0.055$}{\rm $c_{qq}^{8,3}$} 
-{$-0.053$}{\rm $c_{\varphi t}$} 
-{$-0.048$}{\rm $c_{qq}^{1,3}$} 
-{$-0.012$}{\rm $c_{\varphi D}$} 
-{$+0.011$}{\rm $c_{t \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.520$}{\rm $c_{dt}^{1}$}
+{$-0.456$}{\rm $c_{qd}^{8}$}
+{$+0.455$}{\rm $c_{qu}^{8}$}
+{$+0.369$}{\rm $c_{ut}^{1}$}
+{$+0.213$}{\rm $c_{dt}^{8}$}
+{$-0.184$}{\rm $c_{qu}^{1}$}
+{$-0.169$}{\rm $c_{ut}^{8}$}
+{$-0.125$}{\rm $c_{qq}^{1,1}$}
+{$+0.106$}{\rm $c_{qq}^{1,8}$}
+{$-0.105$}{\rm $c_{qt}^{8}$}
+{$+0.105$}{\rm $c_{qd}^{1}$}
+{$+0.069$}{\rm $c_{qt}^{1}$}
+{$+0.068$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.066$}{\rm $c_{\varphi \Box}$}
+{$+0.055$}{\rm $c_{qq}^{8,3}$}
+{$-0.053$}{\rm $c_{\varphi t}$}
+{$-0.048$}{\rm $c_{qq}^{1,3}$}
+{$-0.012$}{\rm $c_{\varphi D}$}
+{$+0.011$}{\rm $c_{t \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 27} (5.51e-01):}}
-{$-0.383$}{\rm $c_{qd}^{1}$} 
-{$+0.345$}{\rm $c_{qu}^{1}$} 
-{$+0.342$}{\rm $c_{qq}^{1,3}$} 
-{$+0.342$}{\rm $c_{dt}^{1}$} 
-{$-0.299$}{\rm $c_{qd}^{8}$} 
-{$+0.279$}{\rm $c_{ut}^{1}$} 
-{$-0.248$}{\rm $c_{qq}^{1,1}$} 
-{$+0.247$}{\rm $c_{qu}^{8}$} 
-{$-0.242$}{\rm $c_{qt}^{1}$} 
-{$-0.224$}{\rm $c_{qq}^{8,3}$} 
-{$-0.220$}{\rm $c_{dt}^{8}$} 
-{$-0.128$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.120$}{\rm $c_{qt}^{8}$} 
-{$+0.105$}{\rm $c_{ut}^{8}$} 
-{$-0.072$}{\rm $c_{t \varphi}$} 
-{$-0.056$}{\rm $c_{\varphi \Box}$} 
-{$+0.037$}{\rm $c_{qq}^{1,8}$} 
-{$-0.024$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.020$}{\rm $c_{\varphi t}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.383$}{\rm $c_{qd}^{1}$}
+{$+0.345$}{\rm $c_{qu}^{1}$}
+{$+0.342$}{\rm $c_{qq}^{1,3}$}
+{$+0.342$}{\rm $c_{dt}^{1}$}
+{$-0.299$}{\rm $c_{qd}^{8}$}
+{$+0.279$}{\rm $c_{ut}^{1}$}
+{$-0.248$}{\rm $c_{qq}^{1,1}$}
+{$+0.247$}{\rm $c_{qu}^{8}$}
+{$-0.242$}{\rm $c_{qt}^{1}$}
+{$-0.224$}{\rm $c_{qq}^{8,3}$}
+{$-0.220$}{\rm $c_{dt}^{8}$}
+{$-0.128$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.120$}{\rm $c_{qt}^{8}$}
+{$+0.105$}{\rm $c_{ut}^{8}$}
+{$-0.072$}{\rm $c_{t \varphi}$}
+{$-0.056$}{\rm $c_{\varphi \Box}$}
+{$+0.037$}{\rm $c_{qq}^{1,8}$}
+{$-0.024$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.020$}{\rm $c_{\varphi t}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 28} (3.88e-01):}}
-{$+0.900$}{\rm $c_{t \varphi}$} 
-{$+0.404$}{\rm $c_{\varphi \Box}$} 
-{$-0.102$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.073$}{\rm $c_{tZ}$} 
-{$+0.050$}{\rm $c_{dt}^{1}$} 
-{$-0.041$}{\rm $c_{\varphi W}$} 
-{$-0.031$}{\rm $c_{qd}^{1}$} 
-{$+0.030$}{\rm $c_{qu}^{1}$} 
-{$-0.029$}{\rm $c_{dt}^{8}$} 
-{$+0.026$}{\rm $c_{qq}^{1,3}$} 
-{$-0.021$}{\rm $c_{qt}^{1}$} 
-{$+0.021$}{\rm $c_{\varphi B}$} 
-{$-0.020$}{\rm $c_{qq}^{8,3}$} 
-{$-0.017$}{\rm $c_{\varphi D}$} 
-{$+0.015$}{\rm $c_{ut}^{8}$} 
-{$-0.015$}{\rm $c_{\varphi t}$} 
-{$-0.013$}{\rm $c_{WWW}$} 
-{$-0.013$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.011$}{\rm $c_{qq}^{1,1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.900$}{\rm $c_{t \varphi}$}
+{$+0.404$}{\rm $c_{\varphi \Box}$}
+{$-0.102$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.073$}{\rm $c_{tZ}$}
+{$+0.050$}{\rm $c_{dt}^{1}$}
+{$-0.041$}{\rm $c_{\varphi W}$}
+{$-0.031$}{\rm $c_{qd}^{1}$}
+{$+0.030$}{\rm $c_{qu}^{1}$}
+{$-0.029$}{\rm $c_{dt}^{8}$}
+{$+0.026$}{\rm $c_{qq}^{1,3}$}
+{$-0.021$}{\rm $c_{qt}^{1}$}
+{$+0.021$}{\rm $c_{\varphi B}$}
+{$-0.020$}{\rm $c_{qq}^{8,3}$}
+{$-0.017$}{\rm $c_{\varphi D}$}
+{$+0.015$}{\rm $c_{ut}^{8}$}
+{$-0.015$}{\rm $c_{\varphi t}$}
+{$-0.013$}{\rm $c_{WWW}$}
+{$-0.013$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.011$}{\rm $c_{qq}^{1,1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 29} (1.48e-01):}}
-{$+0.979$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.098$}{\rm $c_{\varphi t}$} 
-{$+0.088$}{\rm $c_{t \varphi}$} 
-{$+0.067$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.056$}{\rm $c_{qq}^{1,3}$} 
-{$-0.049$}{\rm $c_{qd}^{1}$} 
-{$+0.048$}{\rm $c_{dt}^{1}$} 
-{$+0.047$}{\rm $c_{qu}^{1}$} 
-{$-0.038$}{\rm $c_{qq}^{1,1}$} 
-{$-0.037$}{\rm $c_{qd}^{8}$} 
-{$+0.036$}{\rm $c_{\varphi \Box}$} 
-{$+0.035$}{\rm $c_{ut}^{1}$} 
-{$-0.033$}{\rm $c_{dt}^{8}$} 
-{$-0.033$}{\rm $c_{qt}^{1}$} 
-{$+0.030$}{\rm $c_{qu}^{8}$} 
-{$-0.027$}{\rm $c_{qq}^{8,3}$} 
-{$-0.015$}{\rm $c_{tZ}$} 
-{$+0.014$}{\rm $c_{ut}^{8}$} 
-{$-0.014$}{\rm $c_{qt}^{8}$} 
-{$-0.011$}{\rm $c_{c \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.979$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.098$}{\rm $c_{\varphi t}$}
+{$+0.088$}{\rm $c_{t \varphi}$}
+{$+0.067$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.056$}{\rm $c_{qq}^{1,3}$}
+{$-0.049$}{\rm $c_{qd}^{1}$}
+{$+0.048$}{\rm $c_{dt}^{1}$}
+{$+0.047$}{\rm $c_{qu}^{1}$}
+{$-0.038$}{\rm $c_{qq}^{1,1}$}
+{$-0.037$}{\rm $c_{qd}^{8}$}
+{$+0.036$}{\rm $c_{\varphi \Box}$}
+{$+0.035$}{\rm $c_{ut}^{1}$}
+{$-0.033$}{\rm $c_{dt}^{8}$}
+{$-0.033$}{\rm $c_{qt}^{1}$}
+{$+0.030$}{\rm $c_{qu}^{8}$}
+{$-0.027$}{\rm $c_{qq}^{8,3}$}
+{$-0.015$}{\rm $c_{tZ}$}
+{$+0.014$}{\rm $c_{ut}^{8}$}
+{$-0.014$}{\rm $c_{qt}^{8}$}
+{$-0.011$}{\rm $c_{c \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 30} (7.78e-03):}}
-{$+0.974$}{\rm $c_{tZ}$} 
-{$-0.176$}{\rm $c_{\varphi t}$} 
-{$-0.103$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.061$}{\rm $c_{t \varphi}$} 
-{$+0.049$}{\rm $c_{\varphi B}$} 
-{$+0.045$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.043$}{\rm $c_{\varphi \Box}$} 
-{$+0.011$}{\rm $c_{\varphi W}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.974$}{\rm $c_{tZ}$}
+{$-0.176$}{\rm $c_{\varphi t}$}
+{$-0.103$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.061$}{\rm $c_{t \varphi}$}
+{$+0.049$}{\rm $c_{\varphi B}$}
+{$+0.045$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.043$}{\rm $c_{\varphi \Box}$}
+{$+0.011$}{\rm $c_{\varphi W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 31} (3.82e-03):}}
-{$-0.774$}{\rm $c_{\varphi t}$} 
-{$-0.588$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.206$}{\rm $c_{tZ}$} 
-{$+0.111$}{\rm $c_{\varphi Q}^{3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.774$}{\rm $c_{\varphi t}$}
+{$-0.588$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.206$}{\rm $c_{tZ}$}
+{$+0.111$}{\rm $c_{\varphi Q}^{3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 32} (5.23e-04):}}
-{$-0.787$}{\rm $c_{tt}^{1}$} 
-{$-0.459$}{\rm $c_{Qt}^{8}$} 
-{$-0.387$}{\rm $c_{QQ}^{1}$} 
-{$-0.144$}{\rm $c_{QQ}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.787$}{\rm $c_{tt}^{1}$}
+{$-0.459$}{\rm $c_{Qt}^{8}$}
+{$-0.387$}{\rm $c_{QQ}^{1}$}
+{$-0.144$}{\rm $c_{QQ}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 33} (2.04e-05):}}
-{$+0.700$}{\rm $c_{QQ}^{8}$} 
-{$+0.572$}{\rm $c_{Qt}^{8}$} 
-{$-0.375$}{\rm $c_{tt}^{1}$} 
-{$-0.174$}{\rm $c_{QQ}^{1}$} 
-{$+0.111$}{\rm $c_{Qt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.700$}{\rm $c_{QQ}^{8}$}
+{$+0.572$}{\rm $c_{Qt}^{8}$}
+{$-0.375$}{\rm $c_{tt}^{1}$}
+{$-0.174$}{\rm $c_{QQ}^{1}$}
+{$+0.111$}{\rm $c_{Qt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 34} (1.28e-05):}}
-{$-0.699$}{\rm $c_{QQ}^{8}$} 
-{$+0.669$}{\rm $c_{Qt}^{8}$} 
-{$-0.225$}{\rm $c_{tt}^{1}$} 
-{$+0.085$}{\rm $c_{Qt}^{1}$} 
-{$-0.075$}{\rm $c_{QQ}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.699$}{\rm $c_{QQ}^{8}$}
+{$+0.669$}{\rm $c_{Qt}^{8}$}
+{$-0.225$}{\rm $c_{tt}^{1}$}
+{$+0.085$}{\rm $c_{Qt}^{1}$}
+{$-0.075$}{\rm $c_{QQ}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 35} (1.28e-05):}}
-{$+0.984$}{\rm $c_{Qt}^{1}$} 
-{$-0.115$}{\rm $c_{Qt}^{8}$} 
-{$+0.111$}{\rm $c_{tt}^{1}$} 
-{$-0.069$}{\rm $c_{QQ}^{1}$} 
-{$-0.019$}{\rm $c_{QQ}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.984$}{\rm $c_{Qt}^{1}$}
+{$-0.115$}{\rm $c_{Qt}^{8}$}
+{$+0.111$}{\rm $c_{tt}^{1}$}
+{$-0.069$}{\rm $c_{QQ}^{1}$}
+{$-0.019$}{\rm $c_{QQ}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 36} (1.28e-05):}}
-{$+0.900$}{\rm $c_{QQ}^{1}$} 
-{$-0.421$}{\rm $c_{tt}^{1}$} 
-{$+0.106$}{\rm $c_{Qt}^{1}$} 
-{$-0.040$}{\rm $c_{Qt}^{8}$} 
-{$+0.014$}{\rm $c_{QQ}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.900$}{\rm $c_{QQ}^{1}$}
+{$-0.421$}{\rm $c_{tt}^{1}$}
+{$+0.106$}{\rm $c_{Qt}^{1}$}
+{$-0.040$}{\rm $c_{Qt}^{8}$}
+{$+0.014$}{\rm $c_{QQ}^{8}$}
+ \nonumber \\ \nonumber \\
 \end{document}
diff --git a/docs/source/_static/report_smefit20_quad/index.html b/docs/source/_static/report_smefit20_quad/index.html
index fb857e75..26b409a8 100644
--- a/docs/source/_static/report_smefit20_quad/index.html
+++ b/docs/source/_static/report_smefit20_quad/index.html
@@ -30,24 +30,24 @@
       <div class="one-half column">
         <nav class="menu docs-menu">
           <ul>
-            <li><a href=#Summary>Summary</a></li> 
-<li><a href=#Chi2>Chi2</a></li> 
-<li><a href=#Coefficients>Coefficients</a></li> 
-<li><a href=#Correlations>Correlations</a></li> 
+            <li><a href=#Summary>Summary</a></li>
+<li><a href=#Chi2>Chi2</a></li>
+<li><a href=#Coefficients>Coefficients</a></li>
+<li><a href=#Correlations>Correlations</a></li>
 
           </ul>
         </nav>
       </div>
     </div>
 
-    
-        <div class='container'> 
 
-        <h2 id='Summary'> Summary</h2> 
+        <div class='container'>
 
-        <div class="three-fourth column markdown-body"> 
+        <h2 id='Summary'> Summary</h2>
 
-    <div class='table'> 
+        <div class="three-fourth column markdown-body">
+
+    <div class='table'>
 <table class="dataframe">
   <thead>
     <tr style="text-align: center;">
@@ -69,151 +69,151 @@ <h2 id='Summary'> Summary</h2>
       <td>NLO</td>
     </tr>
   </tbody>
-</table></div> 
-</br> 
-<li><a href=meta/dataset_summary.html>Dataset summary</a></li> 
-</br> 
-<li><a href=meta/coefficient_summary.html>Coefficient summary</a></li> 
+</table></div>
+</br>
+<li><a href=meta/dataset_summary.html>Dataset summary</a></li>
+</br>
+<li><a href=meta/coefficient_summary.html>Coefficient summary</a></li>
+
+        <div class='container'>
+
+        <h2 id='Chi2'> Chi2</h2>
+
+        <div class="three-fourth column markdown-body">
+
+    </br>
+<li><a href=meta/chi2_tables.html>Tables</a></li>
+
+        <div class="figiterwrapper">
+
+        <figure>
+
+        <img src="meta/chi2_bar.png"/>
 
-        <div class='container'> 
+        <figcaption aria-hidden="true">
 
-        <h2 id='Chi2'> Chi2</h2> 
+        <a href="meta/chi2_bar.png">.png</a>
 
-        <div class="three-fourth column markdown-body"> 
+        <a href="meta/chi2_bar.pdf">.pdf</a>
 
-    </br> 
-<li><a href=meta/chi2_tables.html>Tables</a></li> 
+        </figcaption>
 
-        <div class="figiterwrapper"> 
+        </figure>
 
-        <figure> 
+        </div>
 
-        <img src="meta/chi2_bar.png"/> 
 
-        <figcaption aria-hidden="true"> 
+        <div class="figiterwrapper">
 
-        <a href="meta/chi2_bar.png">.png</a> 
+        <figure>
 
-        <a href="meta/chi2_bar.pdf">.pdf</a> 
+        <img src="meta/chi2_histo.png"/>
 
-        </figcaption> 
+        <figcaption aria-hidden="true">
 
-        </figure> 
+        <a href="meta/chi2_histo.png">.png</a>
 
-        </div> 
+        <a href="meta/chi2_histo.pdf">.pdf</a>
 
-    
-        <div class="figiterwrapper"> 
+        </figcaption>
 
-        <figure> 
+        </figure>
 
-        <img src="meta/chi2_histo.png"/> 
+        </div>
 
-        <figcaption aria-hidden="true"> 
 
-        <a href="meta/chi2_histo.png">.png</a> 
+        <div class='container'>
 
-        <a href="meta/chi2_histo.pdf">.pdf</a> 
+        <h2 id='Coefficients'> Coefficients</h2>
 
-        </figcaption> 
+        <div class="three-fourth column markdown-body">
 
-        </figure> 
+    </br>
+<li><a href=meta/coefficients_table.html>CL table</a></li>
 
-        </div> 
+        <div class="figiterwrapper">
 
-    
-        <div class='container'> 
+        <figure>
 
-        <h2 id='Coefficients'> Coefficients</h2> 
+        <img src="meta/coefficient_central.png"/>
 
-        <div class="three-fourth column markdown-body"> 
+        <figcaption aria-hidden="true">
 
-    </br> 
-<li><a href=meta/coefficients_table.html>CL table</a></li> 
+        <a href="meta/coefficient_central.png">.png</a>
 
-        <div class="figiterwrapper"> 
+        <a href="meta/coefficient_central.pdf">.pdf</a>
 
-        <figure> 
+        </figcaption>
 
-        <img src="meta/coefficient_central.png"/> 
+        </figure>
 
-        <figcaption aria-hidden="true"> 
+        </div>
 
-        <a href="meta/coefficient_central.png">.png</a> 
 
-        <a href="meta/coefficient_central.pdf">.pdf</a> 
+        <div class="figiterwrapper">
 
-        </figcaption> 
+        <figure>
 
-        </figure> 
+        <img src="meta/coefficient_bar.png"/>
 
-        </div> 
+        <figcaption aria-hidden="true">
 
-    
-        <div class="figiterwrapper"> 
+        <a href="meta/coefficient_bar.png">.png</a>
 
-        <figure> 
+        <a href="meta/coefficient_bar.pdf">.pdf</a>
 
-        <img src="meta/coefficient_bar.png"/> 
+        </figcaption>
 
-        <figcaption aria-hidden="true"> 
+        </figure>
 
-        <a href="meta/coefficient_bar.png">.png</a> 
+        </div>
 
-        <a href="meta/coefficient_bar.pdf">.pdf</a> 
 
-        </figcaption> 
+        <div class="figiterwrapper">
 
-        </figure> 
+        <figure>
 
-        </div> 
+        <img src="meta/coefficient_histo.png"/>
 
-    
-        <div class="figiterwrapper"> 
+        <figcaption aria-hidden="true">
 
-        <figure> 
+        <a href="meta/coefficient_histo.png">.png</a>
 
-        <img src="meta/coefficient_histo.png"/> 
+        <a href="meta/coefficient_histo.pdf">.pdf</a>
 
-        <figcaption aria-hidden="true"> 
+        </figcaption>
 
-        <a href="meta/coefficient_histo.png">.png</a> 
+        </figure>
 
-        <a href="meta/coefficient_histo.pdf">.pdf</a> 
+        </div>
 
-        </figcaption> 
 
-        </figure> 
+        <div class='container'>
 
-        </div> 
+        <h2 id='Correlations'> Correlations</h2>
 
-    
-        <div class='container'> 
+        <div class="three-fourth column markdown-body">
 
-        <h2 id='Correlations'> Correlations</h2> 
 
-        <div class="three-fourth column markdown-body"> 
+        <div class="figiterwrapper">
 
-    
-        <div class="figiterwrapper"> 
+        <figure>
 
-        <figure> 
+        <img src="meta/correlations_NS_GLOBAL_NLO_HO.png"/>
 
-        <img src="meta/correlations_NS_GLOBAL_NLO_HO.png"/> 
+        <figcaption aria-hidden="true">
 
-        <figcaption aria-hidden="true"> 
+        <a href="meta/correlations_NS_GLOBAL_NLO_HO.png">.png</a>
 
-        <a href="meta/correlations_NS_GLOBAL_NLO_HO.png">.png</a> 
+        <a href="meta/correlations_NS_GLOBAL_NLO_HO.pdf">.pdf</a>
 
-        <a href="meta/correlations_NS_GLOBAL_NLO_HO.pdf">.pdf</a> 
+        </figcaption>
 
-        </figcaption> 
+        </figure>
 
-        </figure> 
+        </div>
 
-        </div> 
 
-    
 
 </body>
 </html>
diff --git a/docs/source/_static/report_smefit20_quad/meta/coefficient_summary.tex b/docs/source/_static/report_smefit20_quad/meta/coefficient_summary.tex
index 486dd272..d74982d1 100644
--- a/docs/source/_static/report_smefit20_quad/meta/coefficient_summary.tex
+++ b/docs/source/_static/report_smefit20_quad/meta/coefficient_summary.tex
@@ -62,14 +62,14 @@
  & $c_{dt}^{8}$ & $\checkmark$ & \\ \cline{2-4}
  & $c_{dt}^{1}$ & $\checkmark$ & \\ \cline{2-4}
  & $c_{qd}^{8}$ & $\checkmark$ & \\ \cline{2-4}
- & $c_{qd}^{1}$ & $\checkmark$ & 
+ & $c_{qd}^{1}$ & $\checkmark$ &
 \\ \hline
 \multirow{5}{*}{4H}
  & $c_{QQ}^{1}$ & $\checkmark$ & \\ \cline{2-4}
  & $c_{QQ}^{8}$ & $\checkmark$ & \\ \cline{2-4}
  & $c_{Qt}^{1}$ & $\checkmark$ & \\ \cline{2-4}
  & $c_{Qt}^{8}$ & $\checkmark$ & \\ \cline{2-4}
- & $c_{tt}^{1}$ & $\checkmark$ & 
+ & $c_{tt}^{1}$ & $\checkmark$ &
 \\ \hline
 \multirow{7}{*}{B}
  & $c_{\varphi G}$ & $\checkmark$ & \\ \cline{2-4}
@@ -78,7 +78,7 @@
  & $c_{\varphi WB}$ & $\checkmark$ & \\ \cline{2-4}
  & $c_{\varphi \Box}$ & $\checkmark$ & \\ \cline{2-4}
  & $c_{\varphi D}$ & $\checkmark$ & \\ \cline{2-4}
- & $c_{WWW}$ & $\checkmark$ & 
+ & $c_{WWW}$ & $\checkmark$ &
 \\ \hline
 \hline & Number fitted coefficients & 36 &  \\ \hline
 \end{tabular}
diff --git a/docs/source/_static/report_smefit20_quad/meta/pca_table_mult_prescr_quad.tex b/docs/source/_static/report_smefit20_quad/meta/pca_table_mult_prescr_quad.tex
index 7c979ef5..22a30ac9 100644
--- a/docs/source/_static/report_smefit20_quad/meta/pca_table_mult_prescr_quad.tex
+++ b/docs/source/_static/report_smefit20_quad/meta/pca_table_mult_prescr_quad.tex
@@ -20,547 +20,547 @@
 \begin{document}
 \noindent \underline{\bf{Principal Components Analysis}:} NS quadratic\\ \\ \\
 \noindent \textcolor{red}{\underline{\bf{PC 1} (1.28e+11):}}
-{$-0.965$}{\rm $c_{\varphi G}$} 
-{$+0.233$}{\rm $c_{\varphi WB}$} 
-{$+0.104$}{\rm $c_{\varphi D}$} 
-{$-0.058$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.965$}{\rm $c_{\varphi G}$}
+{$+0.233$}{\rm $c_{\varphi WB}$}
+{$+0.104$}{\rm $c_{\varphi D}$}
+{$-0.058$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 2} (1.91e+07):}}
-{$-0.728$}{\rm $c_{tG}$} 
-{$-0.399$}{\rm $c_{qq}^{1,8}$} 
-{$-0.342$}{\rm $c_{qt}^{8}$} 
-{$-0.312$}{\rm $c_{ut}^{8}$} 
-{$+0.164$}{\rm $c_{qu}^{1}$} 
-{$-0.140$}{\rm $c_{dt}^{8}$} 
-{$+0.139$}{\rm $c_{qt}^{1}$} 
-{$-0.104$}{\rm $c_{qq}^{1,1}$} 
-{$-0.064$}{\rm $c_{qu}^{8}$} 
-{$-0.063$}{\rm $c_{ut}^{1}$} 
-{$+0.060$}{\rm $c_{qd}^{1}$} 
-{$-0.045$}{\rm $c_{dt}^{1}$} 
-{$+0.044$}{\rm $c_{\varphi G}$} 
-{$-0.039$}{\rm $c_{qq}^{8,3}$} 
-{$-0.038$}{\rm $c_{qq}^{1,3}$} 
-{$-0.019$}{\rm $c_{qd}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.728$}{\rm $c_{tG}$}
+{$-0.399$}{\rm $c_{qq}^{1,8}$}
+{$-0.342$}{\rm $c_{qt}^{8}$}
+{$-0.312$}{\rm $c_{ut}^{8}$}
+{$+0.164$}{\rm $c_{qu}^{1}$}
+{$-0.140$}{\rm $c_{dt}^{8}$}
+{$+0.139$}{\rm $c_{qt}^{1}$}
+{$-0.104$}{\rm $c_{qq}^{1,1}$}
+{$-0.064$}{\rm $c_{qu}^{8}$}
+{$-0.063$}{\rm $c_{ut}^{1}$}
+{$+0.060$}{\rm $c_{qd}^{1}$}
+{$-0.045$}{\rm $c_{dt}^{1}$}
+{$+0.044$}{\rm $c_{\varphi G}$}
+{$-0.039$}{\rm $c_{qq}^{8,3}$}
+{$-0.038$}{\rm $c_{qq}^{1,3}$}
+{$-0.019$}{\rm $c_{qd}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 3} (1.05e+07):}}
-{$-0.888$}{\rm $c_{\varphi WB}$} 
-{$-0.380$}{\rm $c_{\varphi D}$} 
-{$-0.255$}{\rm $c_{\varphi G}$} 
-{$-0.041$}{\rm $c_{WWW}$} 
-{$+0.015$}{\rm $c_{\varphi B}$} 
-{$-0.012$}{\rm $c_{tG}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.888$}{\rm $c_{\varphi WB}$}
+{$-0.380$}{\rm $c_{\varphi D}$}
+{$-0.255$}{\rm $c_{\varphi G}$}
+{$-0.041$}{\rm $c_{WWW}$}
+{$+0.015$}{\rm $c_{\varphi B}$}
+{$-0.012$}{\rm $c_{tG}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 4} (8.83e+05):}}
-{$-0.668$}{\rm $c_{qq}^{1,8}$} 
-{$+0.459$}{\rm $c_{qt}^{8}$} 
-{$+0.299$}{\rm $c_{qu}^{8}$} 
-{$-0.287$}{\rm $c_{ut}^{8}$} 
-{$+0.234$}{\rm $c_{tG}$} 
-{$-0.184$}{\rm $c_{qt}^{1}$} 
-{$-0.135$}{\rm $c_{qq}^{8,3}$} 
-{$-0.128$}{\rm $c_{dt}^{8}$} 
-{$-0.127$}{\rm $c_{qu}^{1}$} 
-{$-0.103$}{\rm $c_{qq}^{1,1}$} 
-{$-0.088$}{\rm $c_{ut}^{1}$} 
-{$+0.077$}{\rm $c_{qd}^{8}$} 
-{$-0.062$}{\rm $c_{qd}^{1}$} 
-{$-0.038$}{\rm $c_{dt}^{1}$} 
-{$-0.037$}{\rm $c_{qq}^{1,3}$} 
-{$-0.014$}{\rm $c_{\varphi G}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.668$}{\rm $c_{qq}^{1,8}$}
+{$+0.459$}{\rm $c_{qt}^{8}$}
+{$+0.299$}{\rm $c_{qu}^{8}$}
+{$-0.287$}{\rm $c_{ut}^{8}$}
+{$+0.234$}{\rm $c_{tG}$}
+{$-0.184$}{\rm $c_{qt}^{1}$}
+{$-0.135$}{\rm $c_{qq}^{8,3}$}
+{$-0.128$}{\rm $c_{dt}^{8}$}
+{$-0.127$}{\rm $c_{qu}^{1}$}
+{$-0.103$}{\rm $c_{qq}^{1,1}$}
+{$-0.088$}{\rm $c_{ut}^{1}$}
+{$+0.077$}{\rm $c_{qd}^{8}$}
+{$-0.062$}{\rm $c_{qd}^{1}$}
+{$-0.038$}{\rm $c_{dt}^{1}$}
+{$-0.037$}{\rm $c_{qq}^{1,3}$}
+{$-0.014$}{\rm $c_{\varphi G}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 5} (2.87e+05):}}
-{$-0.929$}{\rm $c_{\varphi B}$} 
-{$-0.286$}{\rm $c_{\varphi W}$} 
-{$-0.192$}{\rm $c_{\varphi D}$} 
-{$+0.085$}{\rm $c_{b \varphi}$} 
-{$+0.067$}{\rm $c_{\varphi WB}$} 
-{$-0.056$}{\rm $c_{tW}$} 
-{$+0.050$}{\rm $c_{tZ}$} 
-{$+0.027$}{\rm $c_{c \varphi}$} 
-{$-0.020$}{\rm $c_{WWW}$} 
-{$+0.017$}{\rm $c_{\tau \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.929$}{\rm $c_{\varphi B}$}
+{$-0.286$}{\rm $c_{\varphi W}$}
+{$-0.192$}{\rm $c_{\varphi D}$}
+{$+0.085$}{\rm $c_{b \varphi}$}
+{$+0.067$}{\rm $c_{\varphi WB}$}
+{$-0.056$}{\rm $c_{tW}$}
+{$+0.050$}{\rm $c_{tZ}$}
+{$+0.027$}{\rm $c_{c \varphi}$}
+{$-0.020$}{\rm $c_{WWW}$}
+{$+0.017$}{\rm $c_{\tau \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 6} (2.47e+05):}}
-{$-0.611$}{\rm $c_{tG}$} 
-{$+0.590$}{\rm $c_{qt}^{8}$} 
-{$+0.296$}{\rm $c_{qq}^{1,8}$} 
-{$-0.275$}{\rm $c_{qu}^{1}$} 
-{$-0.199$}{\rm $c_{qq}^{8,3}$} 
-{$-0.196$}{\rm $c_{qt}^{1}$} 
-{$+0.164$}{\rm $c_{ut}^{8}$} 
-{$-0.069$}{\rm $c_{qd}^{1}$} 
-{$+0.066$}{\rm $c_{qu}^{8}$} 
-{$+0.035$}{\rm $c_{\varphi G}$} 
-{$+0.023$}{\rm $c_{dt}^{8}$} 
-{$+0.019$}{\rm $c_{dt}^{1}$} 
-{$-0.015$}{\rm $c_{qd}^{8}$} 
-{$+0.013$}{\rm $c_{\varphi B}$} 
-{$+0.013$}{\rm $c_{WWW}$} 
-{$-0.011$}{\rm $c_{qq}^{1,3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.611$}{\rm $c_{tG}$}
+{$+0.590$}{\rm $c_{qt}^{8}$}
+{$+0.296$}{\rm $c_{qq}^{1,8}$}
+{$-0.275$}{\rm $c_{qu}^{1}$}
+{$-0.199$}{\rm $c_{qq}^{8,3}$}
+{$-0.196$}{\rm $c_{qt}^{1}$}
+{$+0.164$}{\rm $c_{ut}^{8}$}
+{$-0.069$}{\rm $c_{qd}^{1}$}
+{$+0.066$}{\rm $c_{qu}^{8}$}
+{$+0.035$}{\rm $c_{\varphi G}$}
+{$+0.023$}{\rm $c_{dt}^{8}$}
+{$+0.019$}{\rm $c_{dt}^{1}$}
+{$-0.015$}{\rm $c_{qd}^{8}$}
+{$+0.013$}{\rm $c_{\varphi B}$}
+{$+0.013$}{\rm $c_{WWW}$}
+{$-0.011$}{\rm $c_{qq}^{1,3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 7} (1.16e+05):}}
-{$-0.600$}{\rm $c_{ut}^{8}$} 
-{$+0.482$}{\rm $c_{qq}^{1,8}$} 
-{$+0.420$}{\rm $c_{qd}^{8}$} 
-{$-0.302$}{\rm $c_{qq}^{8,3}$} 
-{$-0.191$}{\rm $c_{dt}^{8}$} 
-{$+0.166$}{\rm $c_{qu}^{8}$} 
-{$-0.148$}{\rm $c_{qt}^{8}$} 
-{$-0.146$}{\rm $c_{qt}^{1}$} 
-{$-0.109$}{\rm $c_{qq}^{1,1}$} 
-{$-0.096$}{\rm $c_{qq}^{1,3}$} 
-{$+0.085$}{\rm $c_{tG}$} 
-{$-0.055$}{\rm $c_{ut}^{1}$} 
-{$-0.032$}{\rm $c_{dt}^{1}$} 
-{$-0.016$}{\rm $c_{qu}^{1}$} 
-{$-0.013$}{\rm $c_{qd}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.600$}{\rm $c_{ut}^{8}$}
+{$+0.482$}{\rm $c_{qq}^{1,8}$}
+{$+0.420$}{\rm $c_{qd}^{8}$}
+{$-0.302$}{\rm $c_{qq}^{8,3}$}
+{$-0.191$}{\rm $c_{dt}^{8}$}
+{$+0.166$}{\rm $c_{qu}^{8}$}
+{$-0.148$}{\rm $c_{qt}^{8}$}
+{$-0.146$}{\rm $c_{qt}^{1}$}
+{$-0.109$}{\rm $c_{qq}^{1,1}$}
+{$-0.096$}{\rm $c_{qq}^{1,3}$}
+{$+0.085$}{\rm $c_{tG}$}
+{$-0.055$}{\rm $c_{ut}^{1}$}
+{$-0.032$}{\rm $c_{dt}^{1}$}
+{$-0.016$}{\rm $c_{qu}^{1}$}
+{$-0.013$}{\rm $c_{qd}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 8} (5.89e+04):}}
-{$+0.974$}{\rm $c_{WWW}$} 
-{$-0.195$}{\rm $c_{\varphi D}$} 
-{$-0.065$}{\rm $c_{\varphi \Box}$} 
-{$+0.043$}{\rm $c_{\varphi WB}$} 
-{$+0.042$}{\rm $c_{qu}^{8}$} 
-{$+0.041$}{\rm $c_{t \varphi}$} 
-{$+0.034$}{\rm $c_{qq}^{8,3}$} 
-{$+0.033$}{\rm $c_{qu}^{1}$} 
-{$+0.025$}{\rm $c_{qt}^{1}$} 
-{$+0.020$}{\rm $c_{qd}^{8}$} 
-{$+0.018$}{\rm $c_{\varphi B}$} 
-{$+0.015$}{\rm $c_{\varphi W}$} 
-{$-0.011$}{\rm $c_{\varphi G}$} 
-{$+0.010$}{\rm $c_{qd}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.974$}{\rm $c_{WWW}$}
+{$-0.195$}{\rm $c_{\varphi D}$}
+{$-0.065$}{\rm $c_{\varphi \Box}$}
+{$+0.043$}{\rm $c_{\varphi WB}$}
+{$+0.042$}{\rm $c_{qu}^{8}$}
+{$+0.041$}{\rm $c_{t \varphi}$}
+{$+0.034$}{\rm $c_{qq}^{8,3}$}
+{$+0.033$}{\rm $c_{qu}^{1}$}
+{$+0.025$}{\rm $c_{qt}^{1}$}
+{$+0.020$}{\rm $c_{qd}^{8}$}
+{$+0.018$}{\rm $c_{\varphi B}$}
+{$+0.015$}{\rm $c_{\varphi W}$}
+{$-0.011$}{\rm $c_{\varphi G}$}
+{$+0.010$}{\rm $c_{qd}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 9} (1.21e+04):}}
-{$+0.471$}{\rm $c_{qq}^{1,1}$} 
-{$+0.413$}{\rm $c_{qu}^{1}$} 
-{$+0.402$}{\rm $c_{qt}^{1}$} 
-{$+0.369$}{\rm $c_{qu}^{8}$} 
-{$+0.298$}{\rm $c_{ut}^{1}$} 
-{$+0.266$}{\rm $c_{qt}^{8}$} 
-{$+0.258$}{\rm $c_{qd}^{8}$} 
-{$+0.162$}{\rm $c_{qq}^{1,3}$} 
-{$+0.149$}{\rm $c_{qd}^{1}$} 
-{$+0.100$}{\rm $c_{dt}^{1}$} 
-{$+0.100$}{\rm $c_{qq}^{8,3}$} 
-{$-0.081$}{\rm $c_{tG}$} 
-{$-0.071$}{\rm $c_{ut}^{8}$} 
-{$-0.045$}{\rm $c_{WWW}$} 
-{$+0.033$}{\rm $c_{qq}^{1,8}$} 
-{$-0.013$}{\rm $c_{dt}^{8}$} 
-{$+0.012$}{\rm $c_{\varphi D}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.471$}{\rm $c_{qq}^{1,1}$}
+{$+0.413$}{\rm $c_{qu}^{1}$}
+{$+0.402$}{\rm $c_{qt}^{1}$}
+{$+0.369$}{\rm $c_{qu}^{8}$}
+{$+0.298$}{\rm $c_{ut}^{1}$}
+{$+0.266$}{\rm $c_{qt}^{8}$}
+{$+0.258$}{\rm $c_{qd}^{8}$}
+{$+0.162$}{\rm $c_{qq}^{1,3}$}
+{$+0.149$}{\rm $c_{qd}^{1}$}
+{$+0.100$}{\rm $c_{dt}^{1}$}
+{$+0.100$}{\rm $c_{qq}^{8,3}$}
+{$-0.081$}{\rm $c_{tG}$}
+{$-0.071$}{\rm $c_{ut}^{8}$}
+{$-0.045$}{\rm $c_{WWW}$}
+{$+0.033$}{\rm $c_{qq}^{1,8}$}
+{$-0.013$}{\rm $c_{dt}^{8}$}
+{$+0.012$}{\rm $c_{\varphi D}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 10} (8.61e+03):}}
-{$+0.543$}{\rm $c_{qt}^{1}$} 
-{$-0.420$}{\rm $c_{qq}^{8,3}$} 
-{$-0.409$}{\rm $c_{qd}^{8}$} 
-{$-0.398$}{\rm $c_{qu}^{8}$} 
-{$+0.289$}{\rm $c_{qt}^{8}$} 
-{$-0.253$}{\rm $c_{ut}^{8}$} 
-{$+0.146$}{\rm $c_{tG}$} 
-{$-0.100$}{\rm $c_{dt}^{8}$} 
-{$-0.097$}{\rm $c_{qq}^{1,1}$} 
-{$+0.085$}{\rm $c_{qq}^{1,8}$} 
-{$+0.069$}{\rm $c_{qu}^{1}$} 
-{$+0.039$}{\rm $c_{dt}^{1}$} 
-{$+0.027$}{\rm $c_{qd}^{1}$} 
-{$+0.021$}{\rm $c_{WWW}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.543$}{\rm $c_{qt}^{1}$}
+{$-0.420$}{\rm $c_{qq}^{8,3}$}
+{$-0.409$}{\rm $c_{qd}^{8}$}
+{$-0.398$}{\rm $c_{qu}^{8}$}
+{$+0.289$}{\rm $c_{qt}^{8}$}
+{$-0.253$}{\rm $c_{ut}^{8}$}
+{$+0.146$}{\rm $c_{tG}$}
+{$-0.100$}{\rm $c_{dt}^{8}$}
+{$-0.097$}{\rm $c_{qq}^{1,1}$}
+{$+0.085$}{\rm $c_{qq}^{1,8}$}
+{$+0.069$}{\rm $c_{qu}^{1}$}
+{$+0.039$}{\rm $c_{dt}^{1}$}
+{$+0.027$}{\rm $c_{qd}^{1}$}
+{$+0.021$}{\rm $c_{WWW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 11} (5.20e+03):}}
-{$-0.836$}{\rm $c_{b \varphi}$} 
-{$+0.500$}{\rm $c_{\tau \varphi}$} 
-{$-0.211$}{\rm $c_{c \varphi}$} 
-{$-0.073$}{\rm $c_{\varphi B}$} 
-{$-0.024$}{\rm $c_{\varphi D}$} 
-{$+0.021$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{\varphi WB}$} 
-{$-0.010$}{\rm $c_{WWW}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.836$}{\rm $c_{b \varphi}$}
+{$+0.500$}{\rm $c_{\tau \varphi}$}
+{$-0.211$}{\rm $c_{c \varphi}$}
+{$-0.073$}{\rm $c_{\varphi B}$}
+{$-0.024$}{\rm $c_{\varphi D}$}
+{$+0.021$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{\varphi WB}$}
+{$-0.010$}{\rm $c_{WWW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 12} (3.36e+03):}}
-{$-0.866$}{\rm $c_{\tau \varphi}$} 
-{$-0.476$}{\rm $c_{b \varphi}$} 
-{$-0.139$}{\rm $c_{c \varphi}$} 
-{$-0.061$}{\rm $c_{\varphi B}$} 
-{$-0.025$}{\rm $c_{\varphi D}$} 
-{$+0.015$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{\varphi WB}$} 
-{$+0.011$}{\rm $c_{\varphi \Box}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.866$}{\rm $c_{\tau \varphi}$}
+{$-0.476$}{\rm $c_{b \varphi}$}
+{$-0.139$}{\rm $c_{c \varphi}$}
+{$-0.061$}{\rm $c_{\varphi B}$}
+{$-0.025$}{\rm $c_{\varphi D}$}
+{$+0.015$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{\varphi WB}$}
+{$+0.011$}{\rm $c_{\varphi \Box}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 13} (9.15e+02):}}
-{$-0.998$}{\rm $c_{tW}$} 
-{$+0.052$}{\rm $c_{\varphi B}$} 
-{$+0.016$}{\rm $c_{\varphi W}$} 
-{$+0.011$}{\rm $c_{\varphi D}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.998$}{\rm $c_{tW}$}
+{$+0.052$}{\rm $c_{\varphi B}$}
+{$+0.016$}{\rm $c_{\varphi W}$}
+{$+0.011$}{\rm $c_{\varphi D}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 14} (4.77e+02):}}
-{$-0.592$}{\rm $c_{qq}^{8,3}$} 
-{$+0.456$}{\rm $c_{qd}^{1}$} 
-{$+0.447$}{\rm $c_{ut}^{8}$} 
-{$-0.353$}{\rm $c_{dt}^{1}$} 
-{$+0.191$}{\rm $c_{qu}^{1}$} 
-{$+0.153$}{\rm $c_{qd}^{8}$} 
-{$-0.146$}{\rm $c_{dt}^{8}$} 
-{$-0.103$}{\rm $c_{qt}^{8}$} 
-{$-0.094$}{\rm $c_{qt}^{1}$} 
-{$-0.092$}{\rm $c_{qq}^{1,8}$} 
-{$+0.048$}{\rm $c_{qq}^{1,3}$} 
-{$+0.047$}{\rm $c_{qu}^{8}$} 
-{$+0.046$}{\rm $c_{tG}$} 
-{$-0.024$}{\rm $c_{qq}^{1,1}$} 
-{$-0.011$}{\rm $c_{ut}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.592$}{\rm $c_{qq}^{8,3}$}
+{$+0.456$}{\rm $c_{qd}^{1}$}
+{$+0.447$}{\rm $c_{ut}^{8}$}
+{$-0.353$}{\rm $c_{dt}^{1}$}
+{$+0.191$}{\rm $c_{qu}^{1}$}
+{$+0.153$}{\rm $c_{qd}^{8}$}
+{$-0.146$}{\rm $c_{dt}^{8}$}
+{$-0.103$}{\rm $c_{qt}^{8}$}
+{$-0.094$}{\rm $c_{qt}^{1}$}
+{$-0.092$}{\rm $c_{qq}^{1,8}$}
+{$+0.048$}{\rm $c_{qq}^{1,3}$}
+{$+0.047$}{\rm $c_{qu}^{8}$}
+{$+0.046$}{\rm $c_{tG}$}
+{$-0.024$}{\rm $c_{qq}^{1,1}$}
+{$-0.011$}{\rm $c_{ut}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 15} (4.11e+02):}}
-{$+0.515$}{\rm $c_{qq}^{1,1}$} 
-{$+0.448$}{\rm $c_{ut}^{1}$} 
-{$-0.414$}{\rm $c_{qu}^{8}$} 
-{$+0.296$}{\rm $c_{qq}^{1,3}$} 
-{$-0.283$}{\rm $c_{qt}^{1}$} 
-{$-0.229$}{\rm $c_{qu}^{1}$} 
-{$-0.197$}{\rm $c_{dt}^{1}$} 
-{$-0.178$}{\rm $c_{ut}^{8}$} 
-{$-0.143$}{\rm $c_{qd}^{1}$} 
-{$-0.134$}{\rm $c_{qq}^{8,3}$} 
-{$-0.125$}{\rm $c_{qq}^{1,8}$} 
-{$-0.082$}{\rm $c_{dt}^{8}$} 
-{$-0.080$}{\rm $c_{qt}^{8}$} 
-{$-0.046$}{\rm $c_{\varphi D}$} 
-{$+0.036$}{\rm $c_{WWW}$} 
-{$+0.022$}{\rm $c_{qd}^{8}$} 
-{$+0.012$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.515$}{\rm $c_{qq}^{1,1}$}
+{$+0.448$}{\rm $c_{ut}^{1}$}
+{$-0.414$}{\rm $c_{qu}^{8}$}
+{$+0.296$}{\rm $c_{qq}^{1,3}$}
+{$-0.283$}{\rm $c_{qt}^{1}$}
+{$-0.229$}{\rm $c_{qu}^{1}$}
+{$-0.197$}{\rm $c_{dt}^{1}$}
+{$-0.178$}{\rm $c_{ut}^{8}$}
+{$-0.143$}{\rm $c_{qd}^{1}$}
+{$-0.134$}{\rm $c_{qq}^{8,3}$}
+{$-0.125$}{\rm $c_{qq}^{1,8}$}
+{$-0.082$}{\rm $c_{dt}^{8}$}
+{$-0.080$}{\rm $c_{qt}^{8}$}
+{$-0.046$}{\rm $c_{\varphi D}$}
+{$+0.036$}{\rm $c_{WWW}$}
+{$+0.022$}{\rm $c_{qd}^{8}$}
+{$+0.012$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 16} (2.11e+02):}}
-{$-0.926$}{\rm $c_{c \varphi}$} 
-{$-0.281$}{\rm $c_{\varphi W}$} 
-{$+0.227$}{\rm $c_{b \varphi}$} 
-{$+0.078$}{\rm $c_{\varphi B}$} 
-{$-0.072$}{\rm $c_{\varphi \Box}$} 
-{$+0.021$}{\rm $c_{t \varphi}$} 
-{$+0.013$}{\rm $c_{\varphi D}$} 
-{$+0.012$}{\rm $c_{\tau \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.926$}{\rm $c_{c \varphi}$}
+{$-0.281$}{\rm $c_{\varphi W}$}
+{$+0.227$}{\rm $c_{b \varphi}$}
+{$+0.078$}{\rm $c_{\varphi B}$}
+{$-0.072$}{\rm $c_{\varphi \Box}$}
+{$+0.021$}{\rm $c_{t \varphi}$}
+{$+0.013$}{\rm $c_{\varphi D}$}
+{$+0.012$}{\rm $c_{\tau \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 17} (1.04e+02):}}
-{$+0.854$}{\rm $c_{\varphi D}$} 
-{$-0.375$}{\rm $c_{\varphi WB}$} 
-{$-0.204$}{\rm $c_{\varphi B}$} 
-{$-0.194$}{\rm $c_{\varphi \Box}$} 
-{$+0.174$}{\rm $c_{WWW}$} 
-{$+0.115$}{\rm $c_{t \varphi}$} 
-{$-0.064$}{\rm $c_{dt}^{1}$} 
-{$+0.025$}{\rm $c_{ut}^{1}$} 
-{$-0.024$}{\rm $c_{qu}^{8}$} 
-{$-0.024$}{\rm $c_{b \varphi}$} 
-{$+0.020$}{\rm $c_{qq}^{1,3}$} 
-{$+0.020$}{\rm $c_{qq}^{8,3}$} 
-{$+0.012$}{\rm $c_{c \varphi}$} 
-{$+0.012$}{\rm $c_{qt}^{8}$} 
-{$-0.012$}{\rm $c_{ut}^{8}$} 
-{$-0.011$}{\rm $c_{\varphi W}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.854$}{\rm $c_{\varphi D}$}
+{$-0.375$}{\rm $c_{\varphi WB}$}
+{$-0.204$}{\rm $c_{\varphi B}$}
+{$-0.194$}{\rm $c_{\varphi \Box}$}
+{$+0.174$}{\rm $c_{WWW}$}
+{$+0.115$}{\rm $c_{t \varphi}$}
+{$-0.064$}{\rm $c_{dt}^{1}$}
+{$+0.025$}{\rm $c_{ut}^{1}$}
+{$-0.024$}{\rm $c_{qu}^{8}$}
+{$-0.024$}{\rm $c_{b \varphi}$}
+{$+0.020$}{\rm $c_{qq}^{1,3}$}
+{$+0.020$}{\rm $c_{qq}^{8,3}$}
+{$+0.012$}{\rm $c_{c \varphi}$}
+{$+0.012$}{\rm $c_{qt}^{8}$}
+{$-0.012$}{\rm $c_{ut}^{8}$}
+{$-0.011$}{\rm $c_{\varphi W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 18} (5.47e+01):}}
-{$+0.887$}{\rm $c_{\varphi W}$} 
-{$-0.275$}{\rm $c_{c \varphi}$} 
-{$-0.269$}{\rm $c_{\varphi B}$} 
-{$+0.164$}{\rm $c_{\varphi \Box}$} 
-{$+0.124$}{\rm $c_{b \varphi}$} 
-{$-0.071$}{\rm $c_{qq}^{1,3}$} 
-{$-0.070$}{\rm $c_{dt}^{8}$} 
-{$+0.051$}{\rm $c_{qq}^{8,3}$} 
-{$+0.049$}{\rm $c_{qu}^{1}$} 
-{$+0.045$}{\rm $c_{ut}^{1}$} 
-{$-0.041$}{\rm $c_{qt}^{1}$} 
-{$-0.035$}{\rm $c_{qu}^{8}$} 
-{$+0.032$}{\rm $c_{qt}^{8}$} 
-{$-0.030$}{\rm $c_{t \varphi}$} 
-{$+0.026$}{\rm $c_{qd}^{1}$} 
-{$-0.015$}{\rm $c_{qq}^{1,1}$} 
-{$-0.013$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.012$}{\rm $c_{qd}^{8}$} 
-{$+0.012$}{\rm $c_{\tau \varphi}$} 
-{$-0.011$}{\rm $c_{\varphi t}$} 
-{$+0.010$}{\rm $c_{qq}^{1,8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.887$}{\rm $c_{\varphi W}$}
+{$-0.275$}{\rm $c_{c \varphi}$}
+{$-0.269$}{\rm $c_{\varphi B}$}
+{$+0.164$}{\rm $c_{\varphi \Box}$}
+{$+0.124$}{\rm $c_{b \varphi}$}
+{$-0.071$}{\rm $c_{qq}^{1,3}$}
+{$-0.070$}{\rm $c_{dt}^{8}$}
+{$+0.051$}{\rm $c_{qq}^{8,3}$}
+{$+0.049$}{\rm $c_{qu}^{1}$}
+{$+0.045$}{\rm $c_{ut}^{1}$}
+{$-0.041$}{\rm $c_{qt}^{1}$}
+{$-0.035$}{\rm $c_{qu}^{8}$}
+{$+0.032$}{\rm $c_{qt}^{8}$}
+{$-0.030$}{\rm $c_{t \varphi}$}
+{$+0.026$}{\rm $c_{qd}^{1}$}
+{$-0.015$}{\rm $c_{qq}^{1,1}$}
+{$-0.013$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.012$}{\rm $c_{qd}^{8}$}
+{$+0.012$}{\rm $c_{\tau \varphi}$}
+{$-0.011$}{\rm $c_{\varphi t}$}
+{$+0.010$}{\rm $c_{qq}^{1,8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 19} (5.02e+01):}}
-{$-0.465$}{\rm $c_{qq}^{1,3}$} 
-{$-0.413$}{\rm $c_{dt}^{8}$} 
-{$+0.365$}{\rm $c_{qu}^{1}$} 
-{$+0.325$}{\rm $c_{qq}^{8,3}$} 
-{$+0.307$}{\rm $c_{ut}^{1}$} 
-{$-0.280$}{\rm $c_{qt}^{1}$} 
-{$-0.236$}{\rm $c_{qu}^{8}$} 
-{$+0.224$}{\rm $c_{qt}^{8}$} 
-{$+0.165$}{\rm $c_{qd}^{1}$} 
-{$-0.135$}{\rm $c_{dt}^{1}$} 
-{$-0.133$}{\rm $c_{\varphi W}$} 
-{$-0.121$}{\rm $c_{qq}^{1,1}$} 
-{$-0.085$}{\rm $c_{qd}^{8}$} 
-{$+0.071$}{\rm $c_{qq}^{1,8}$} 
-{$+0.046$}{\rm $c_{\varphi B}$} 
-{$+0.038$}{\rm $c_{c \varphi}$} 
-{$-0.022$}{\rm $c_{ut}^{8}$} 
-{$-0.021$}{\rm $c_{\varphi D}$} 
-{$-0.019$}{\rm $c_{\varphi \Box}$} 
-{$-0.017$}{\rm $c_{b \varphi}$} 
-{$+0.016$}{\rm $c_{tG}$} 
-{$-0.010$}{\rm $c_{WWW}$} 
-{$+0.010$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.465$}{\rm $c_{qq}^{1,3}$}
+{$-0.413$}{\rm $c_{dt}^{8}$}
+{$+0.365$}{\rm $c_{qu}^{1}$}
+{$+0.325$}{\rm $c_{qq}^{8,3}$}
+{$+0.307$}{\rm $c_{ut}^{1}$}
+{$-0.280$}{\rm $c_{qt}^{1}$}
+{$-0.236$}{\rm $c_{qu}^{8}$}
+{$+0.224$}{\rm $c_{qt}^{8}$}
+{$+0.165$}{\rm $c_{qd}^{1}$}
+{$-0.135$}{\rm $c_{dt}^{1}$}
+{$-0.133$}{\rm $c_{\varphi W}$}
+{$-0.121$}{\rm $c_{qq}^{1,1}$}
+{$-0.085$}{\rm $c_{qd}^{8}$}
+{$+0.071$}{\rm $c_{qq}^{1,8}$}
+{$+0.046$}{\rm $c_{\varphi B}$}
+{$+0.038$}{\rm $c_{c \varphi}$}
+{$-0.022$}{\rm $c_{ut}^{8}$}
+{$-0.021$}{\rm $c_{\varphi D}$}
+{$-0.019$}{\rm $c_{\varphi \Box}$}
+{$-0.017$}{\rm $c_{b \varphi}$}
+{$+0.016$}{\rm $c_{tG}$}
+{$-0.010$}{\rm $c_{WWW}$}
+{$+0.010$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 20} (1.48e+01):}}
-{$+0.513$}{\rm $c_{ut}^{1}$} 
-{$-0.492$}{\rm $c_{qq}^{1,3}$} 
-{$+0.468$}{\rm $c_{dt}^{1}$} 
-{$+0.279$}{\rm $c_{dt}^{8}$} 
-{$-0.258$}{\rm $c_{qq}^{8,3}$} 
-{$-0.209$}{\rm $c_{qu}^{1}$} 
-{$+0.147$}{\rm $c_{qd}^{8}$} 
-{$-0.145$}{\rm $c_{qq}^{1,8}$} 
-{$-0.134$}{\rm $c_{qt}^{8}$} 
-{$+0.096$}{\rm $c_{qd}^{1}$} 
-{$-0.074$}{\rm $c_{qq}^{1,1}$} 
-{$+0.071$}{\rm $c_{ut}^{8}$} 
-{$+0.060$}{\rm $c_{qt}^{1}$} 
-{$+0.032$}{\rm $c_{\varphi D}$} 
-{$+0.027$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.020$}{\rm $c_{\varphi t}$} 
-{$+0.020$}{\rm $c_{WWW}$} 
-{$-0.016$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.513$}{\rm $c_{ut}^{1}$}
+{$-0.492$}{\rm $c_{qq}^{1,3}$}
+{$+0.468$}{\rm $c_{dt}^{1}$}
+{$+0.279$}{\rm $c_{dt}^{8}$}
+{$-0.258$}{\rm $c_{qq}^{8,3}$}
+{$-0.209$}{\rm $c_{qu}^{1}$}
+{$+0.147$}{\rm $c_{qd}^{8}$}
+{$-0.145$}{\rm $c_{qq}^{1,8}$}
+{$-0.134$}{\rm $c_{qt}^{8}$}
+{$+0.096$}{\rm $c_{qd}^{1}$}
+{$-0.074$}{\rm $c_{qq}^{1,1}$}
+{$+0.071$}{\rm $c_{ut}^{8}$}
+{$+0.060$}{\rm $c_{qt}^{1}$}
+{$+0.032$}{\rm $c_{\varphi D}$}
+{$+0.027$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.020$}{\rm $c_{\varphi t}$}
+{$+0.020$}{\rm $c_{WWW}$}
+{$-0.016$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 21} (1.05e+01):}}
-{$-0.576$}{\rm $c_{qq}^{1,1}$} 
-{$+0.499$}{\rm $c_{qq}^{1,3}$} 
-{$+0.319$}{\rm $c_{qd}^{8}$} 
-{$+0.311$}{\rm $c_{ut}^{1}$} 
-{$+0.281$}{\rm $c_{qd}^{1}$} 
-{$+0.228$}{\rm $c_{qq}^{8,3}$} 
-{$-0.187$}{\rm $c_{qu}^{8}$} 
-{$-0.150$}{\rm $c_{qu}^{1}$} 
-{$+0.120$}{\rm $c_{qt}^{1}$} 
-{$+0.119$}{\rm $c_{qt}^{8}$} 
-{$-0.028$}{\rm $c_{ut}^{8}$} 
-{$-0.026$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.024$}{\rm $c_{\varphi D}$} 
-{$+0.022$}{\rm $c_{dt}^{8}$} 
-{$+0.019$}{\rm $c_{\varphi t}$} 
-{$-0.016$}{\rm $c_{qq}^{1,8}$} 
-{$-0.015$}{\rm $c_{WWW}$} 
-{$+0.012$}{\rm $c_{\varphi WB}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.576$}{\rm $c_{qq}^{1,1}$}
+{$+0.499$}{\rm $c_{qq}^{1,3}$}
+{$+0.319$}{\rm $c_{qd}^{8}$}
+{$+0.311$}{\rm $c_{ut}^{1}$}
+{$+0.281$}{\rm $c_{qd}^{1}$}
+{$+0.228$}{\rm $c_{qq}^{8,3}$}
+{$-0.187$}{\rm $c_{qu}^{8}$}
+{$-0.150$}{\rm $c_{qu}^{1}$}
+{$+0.120$}{\rm $c_{qt}^{1}$}
+{$+0.119$}{\rm $c_{qt}^{8}$}
+{$-0.028$}{\rm $c_{ut}^{8}$}
+{$-0.026$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.024$}{\rm $c_{\varphi D}$}
+{$+0.022$}{\rm $c_{dt}^{8}$}
+{$+0.019$}{\rm $c_{\varphi t}$}
+{$-0.016$}{\rm $c_{qq}^{1,8}$}
+{$-0.015$}{\rm $c_{WWW}$}
+{$+0.012$}{\rm $c_{\varphi WB}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 22} (8.84e+00):}}
-{$-0.672$}{\rm $c_{qd}^{1}$} 
-{$-0.410$}{\rm $c_{dt}^{1}$} 
-{$+0.350$}{\rm $c_{qd}^{8}$} 
-{$+0.327$}{\rm $c_{qt}^{1}$} 
-{$+0.230$}{\rm $c_{ut}^{8}$} 
-{$-0.183$}{\rm $c_{qq}^{1,3}$} 
-{$-0.168$}{\rm $c_{qq}^{1,1}$} 
-{$+0.147$}{\rm $c_{ut}^{1}$} 
-{$-0.051$}{\rm $c_{dt}^{8}$} 
-{$-0.050$}{\rm $c_{qq}^{1,8}$} 
-{$-0.043$}{\rm $c_{qq}^{8,3}$} 
-{$-0.043$}{\rm $c_{qu}^{8}$} 
-{$+0.043$}{\rm $c_{qu}^{1}$} 
-{$-0.039$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.029$}{\rm $c_{\varphi t}$} 
-{$-0.026$}{\rm $c_{\varphi D}$} 
-{$-0.017$}{\rm $c_{WWW}$} 
-{$+0.014$}{\rm $c_{\varphi WB}$} 
-{$+0.011$}{\rm $c_{qt}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.672$}{\rm $c_{qd}^{1}$}
+{$-0.410$}{\rm $c_{dt}^{1}$}
+{$+0.350$}{\rm $c_{qd}^{8}$}
+{$+0.327$}{\rm $c_{qt}^{1}$}
+{$+0.230$}{\rm $c_{ut}^{8}$}
+{$-0.183$}{\rm $c_{qq}^{1,3}$}
+{$-0.168$}{\rm $c_{qq}^{1,1}$}
+{$+0.147$}{\rm $c_{ut}^{1}$}
+{$-0.051$}{\rm $c_{dt}^{8}$}
+{$-0.050$}{\rm $c_{qq}^{1,8}$}
+{$-0.043$}{\rm $c_{qq}^{8,3}$}
+{$-0.043$}{\rm $c_{qu}^{8}$}
+{$+0.043$}{\rm $c_{qu}^{1}$}
+{$-0.039$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.029$}{\rm $c_{\varphi t}$}
+{$-0.026$}{\rm $c_{\varphi D}$}
+{$-0.017$}{\rm $c_{WWW}$}
+{$+0.014$}{\rm $c_{\varphi WB}$}
+{$+0.011$}{\rm $c_{qt}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 23} (5.40e+00):}}
-{$+0.732$}{\rm $c_{dt}^{8}$} 
-{$+0.497$}{\rm $c_{qu}^{1}$} 
-{$-0.266$}{\rm $c_{qt}^{1}$} 
-{$-0.192$}{\rm $c_{qu}^{8}$} 
-{$-0.181$}{\rm $c_{ut}^{8}$} 
-{$+0.142$}{\rm $c_{qt}^{8}$} 
-{$-0.135$}{\rm $c_{dt}^{1}$} 
-{$-0.101$}{\rm $c_{qq}^{8,3}$} 
-{$-0.093$}{\rm $c_{qq}^{1,1}$} 
-{$-0.081$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.062$}{\rm $c_{qd}^{1}$} 
-{$+0.062$}{\rm $c_{\varphi t}$} 
-{$+0.048$}{\rm $c_{qd}^{8}$} 
-{$-0.026$}{\rm $c_{ut}^{1}$} 
-{$-0.023$}{\rm $c_{qq}^{1,8}$} 
-{$-0.022$}{\rm $c_{\varphi \Box}$} 
-{$+0.018$}{\rm $c_{\varphi W}$} 
-{$-0.018$}{\rm $c_{tG}$} 
-{$-0.018$}{\rm $c_{\varphi D}$} 
-{$+0.017$}{\rm $c_{t \varphi}$} 
-{$+0.016$}{\rm $c_{qq}^{1,3}$} 
-{$-0.011$}{\rm $c_{WWW}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.732$}{\rm $c_{dt}^{8}$}
+{$+0.497$}{\rm $c_{qu}^{1}$}
+{$-0.266$}{\rm $c_{qt}^{1}$}
+{$-0.192$}{\rm $c_{qu}^{8}$}
+{$-0.181$}{\rm $c_{ut}^{8}$}
+{$+0.142$}{\rm $c_{qt}^{8}$}
+{$-0.135$}{\rm $c_{dt}^{1}$}
+{$-0.101$}{\rm $c_{qq}^{8,3}$}
+{$-0.093$}{\rm $c_{qq}^{1,1}$}
+{$-0.081$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.062$}{\rm $c_{qd}^{1}$}
+{$+0.062$}{\rm $c_{\varphi t}$}
+{$+0.048$}{\rm $c_{qd}^{8}$}
+{$-0.026$}{\rm $c_{ut}^{1}$}
+{$-0.023$}{\rm $c_{qq}^{1,8}$}
+{$-0.022$}{\rm $c_{\varphi \Box}$}
+{$+0.018$}{\rm $c_{\varphi W}$}
+{$-0.018$}{\rm $c_{tG}$}
+{$-0.018$}{\rm $c_{\varphi D}$}
+{$+0.017$}{\rm $c_{t \varphi}$}
+{$+0.016$}{\rm $c_{qq}^{1,3}$}
+{$-0.011$}{\rm $c_{WWW}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 24} (3.35e+00):}}
-{$+0.765$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.574$}{\rm $c_{\varphi t}$} 
-{$+0.203$}{\rm $c_{\varphi \Box}$} 
-{$-0.094$}{\rm $c_{t \varphi}$} 
-{$+0.092$}{\rm $c_{qu}^{1}$} 
-{$-0.065$}{\rm $c_{qu}^{8}$} 
-{$+0.063$}{\rm $c_{qd}^{8}$} 
-{$-0.058$}{\rm $c_{qd}^{1}$} 
-{$-0.052$}{\rm $c_{\varphi W}$} 
-{$+0.048$}{\rm $c_{\varphi D}$} 
-{$+0.041$}{\rm $c_{qq}^{1,3}$} 
-{$+0.037$}{\rm $c_{dt}^{8}$} 
-{$-0.035$}{\rm $c_{qq}^{1,1}$} 
-{$+0.032$}{\rm $c_{qt}^{8}$} 
-{$+0.031$}{\rm $c_{WWW}$} 
-{$-0.029$}{\rm $c_{ut}^{1}$} 
-{$-0.026$}{\rm $c_{qt}^{1}$} 
-{$-0.025$}{\rm $c_{\varphi WB}$} 
-{$-0.020$}{\rm $c_{tZ}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.765$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.574$}{\rm $c_{\varphi t}$}
+{$+0.203$}{\rm $c_{\varphi \Box}$}
+{$-0.094$}{\rm $c_{t \varphi}$}
+{$+0.092$}{\rm $c_{qu}^{1}$}
+{$-0.065$}{\rm $c_{qu}^{8}$}
+{$+0.063$}{\rm $c_{qd}^{8}$}
+{$-0.058$}{\rm $c_{qd}^{1}$}
+{$-0.052$}{\rm $c_{\varphi W}$}
+{$+0.048$}{\rm $c_{\varphi D}$}
+{$+0.041$}{\rm $c_{qq}^{1,3}$}
+{$+0.037$}{\rm $c_{dt}^{8}$}
+{$-0.035$}{\rm $c_{qq}^{1,1}$}
+{$+0.032$}{\rm $c_{qt}^{8}$}
+{$+0.031$}{\rm $c_{WWW}$}
+{$-0.029$}{\rm $c_{ut}^{1}$}
+{$-0.026$}{\rm $c_{qt}^{1}$}
+{$-0.025$}{\rm $c_{\varphi WB}$}
+{$-0.020$}{\rm $c_{tZ}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 25} (3.18e+00):}}
-{$+0.842$}{\rm $c_{\varphi \Box}$} 
-{$-0.384$}{\rm $c_{t \varphi}$} 
-{$-0.196$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.176$}{\rm $c_{\varphi D}$} 
-{$-0.171$}{\rm $c_{\varphi W}$} 
-{$+0.146$}{\rm $c_{\varphi t}$} 
-{$+0.114$}{\rm $c_{WWW}$} 
-{$-0.091$}{\rm $c_{\varphi WB}$} 
-{$+0.020$}{\rm $c_{tZ}$} 
-{$-0.017$}{\rm $c_{c \varphi}$} 
-{$+0.015$}{\rm $c_{dt}^{1}$} 
-{$+0.013$}{\rm $c_{qd}^{8}$} 
-{$+0.013$}{\rm $c_{qu}^{1}$} 
-{$-0.012$}{\rm $c_{qu}^{8}$} 
-{$-0.011$}{\rm $c_{qd}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.842$}{\rm $c_{\varphi \Box}$}
+{$-0.384$}{\rm $c_{t \varphi}$}
+{$-0.196$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.176$}{\rm $c_{\varphi D}$}
+{$-0.171$}{\rm $c_{\varphi W}$}
+{$+0.146$}{\rm $c_{\varphi t}$}
+{$+0.114$}{\rm $c_{WWW}$}
+{$-0.091$}{\rm $c_{\varphi WB}$}
+{$+0.020$}{\rm $c_{tZ}$}
+{$-0.017$}{\rm $c_{c \varphi}$}
+{$+0.015$}{\rm $c_{dt}^{1}$}
+{$+0.013$}{\rm $c_{qd}^{8}$}
+{$+0.013$}{\rm $c_{qu}^{1}$}
+{$-0.012$}{\rm $c_{qu}^{8}$}
+{$-0.011$}{\rm $c_{qd}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 26} (1.40e+00):}}
-{$-0.520$}{\rm $c_{dt}^{1}$} 
-{$-0.456$}{\rm $c_{qd}^{8}$} 
-{$+0.455$}{\rm $c_{qu}^{8}$} 
-{$+0.369$}{\rm $c_{ut}^{1}$} 
-{$+0.213$}{\rm $c_{dt}^{8}$} 
-{$-0.184$}{\rm $c_{qu}^{1}$} 
-{$-0.169$}{\rm $c_{ut}^{8}$} 
-{$-0.125$}{\rm $c_{qq}^{1,1}$} 
-{$+0.106$}{\rm $c_{qq}^{1,8}$} 
-{$-0.105$}{\rm $c_{qt}^{8}$} 
-{$+0.105$}{\rm $c_{qd}^{1}$} 
-{$+0.069$}{\rm $c_{qt}^{1}$} 
-{$+0.068$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.066$}{\rm $c_{\varphi \Box}$} 
-{$+0.055$}{\rm $c_{qq}^{8,3}$} 
-{$-0.053$}{\rm $c_{\varphi t}$} 
-{$-0.048$}{\rm $c_{qq}^{1,3}$} 
-{$-0.012$}{\rm $c_{\varphi D}$} 
-{$+0.011$}{\rm $c_{t \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.520$}{\rm $c_{dt}^{1}$}
+{$-0.456$}{\rm $c_{qd}^{8}$}
+{$+0.455$}{\rm $c_{qu}^{8}$}
+{$+0.369$}{\rm $c_{ut}^{1}$}
+{$+0.213$}{\rm $c_{dt}^{8}$}
+{$-0.184$}{\rm $c_{qu}^{1}$}
+{$-0.169$}{\rm $c_{ut}^{8}$}
+{$-0.125$}{\rm $c_{qq}^{1,1}$}
+{$+0.106$}{\rm $c_{qq}^{1,8}$}
+{$-0.105$}{\rm $c_{qt}^{8}$}
+{$+0.105$}{\rm $c_{qd}^{1}$}
+{$+0.069$}{\rm $c_{qt}^{1}$}
+{$+0.068$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.066$}{\rm $c_{\varphi \Box}$}
+{$+0.055$}{\rm $c_{qq}^{8,3}$}
+{$-0.053$}{\rm $c_{\varphi t}$}
+{$-0.048$}{\rm $c_{qq}^{1,3}$}
+{$-0.012$}{\rm $c_{\varphi D}$}
+{$+0.011$}{\rm $c_{t \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 27} (5.51e-01):}}
-{$-0.383$}{\rm $c_{qd}^{1}$} 
-{$+0.345$}{\rm $c_{qu}^{1}$} 
-{$+0.342$}{\rm $c_{qq}^{1,3}$} 
-{$+0.342$}{\rm $c_{dt}^{1}$} 
-{$-0.299$}{\rm $c_{qd}^{8}$} 
-{$+0.279$}{\rm $c_{ut}^{1}$} 
-{$-0.248$}{\rm $c_{qq}^{1,1}$} 
-{$+0.247$}{\rm $c_{qu}^{8}$} 
-{$-0.242$}{\rm $c_{qt}^{1}$} 
-{$-0.224$}{\rm $c_{qq}^{8,3}$} 
-{$-0.220$}{\rm $c_{dt}^{8}$} 
-{$-0.128$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.120$}{\rm $c_{qt}^{8}$} 
-{$+0.105$}{\rm $c_{ut}^{8}$} 
-{$-0.072$}{\rm $c_{t \varphi}$} 
-{$-0.056$}{\rm $c_{\varphi \Box}$} 
-{$+0.037$}{\rm $c_{qq}^{1,8}$} 
-{$-0.024$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.020$}{\rm $c_{\varphi t}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.383$}{\rm $c_{qd}^{1}$}
+{$+0.345$}{\rm $c_{qu}^{1}$}
+{$+0.342$}{\rm $c_{qq}^{1,3}$}
+{$+0.342$}{\rm $c_{dt}^{1}$}
+{$-0.299$}{\rm $c_{qd}^{8}$}
+{$+0.279$}{\rm $c_{ut}^{1}$}
+{$-0.248$}{\rm $c_{qq}^{1,1}$}
+{$+0.247$}{\rm $c_{qu}^{8}$}
+{$-0.242$}{\rm $c_{qt}^{1}$}
+{$-0.224$}{\rm $c_{qq}^{8,3}$}
+{$-0.220$}{\rm $c_{dt}^{8}$}
+{$-0.128$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.120$}{\rm $c_{qt}^{8}$}
+{$+0.105$}{\rm $c_{ut}^{8}$}
+{$-0.072$}{\rm $c_{t \varphi}$}
+{$-0.056$}{\rm $c_{\varphi \Box}$}
+{$+0.037$}{\rm $c_{qq}^{1,8}$}
+{$-0.024$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.020$}{\rm $c_{\varphi t}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 28} (3.88e-01):}}
-{$+0.900$}{\rm $c_{t \varphi}$} 
-{$+0.404$}{\rm $c_{\varphi \Box}$} 
-{$-0.102$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.073$}{\rm $c_{tZ}$} 
-{$+0.050$}{\rm $c_{dt}^{1}$} 
-{$-0.041$}{\rm $c_{\varphi W}$} 
-{$-0.031$}{\rm $c_{qd}^{1}$} 
-{$+0.030$}{\rm $c_{qu}^{1}$} 
-{$-0.029$}{\rm $c_{dt}^{8}$} 
-{$+0.026$}{\rm $c_{qq}^{1,3}$} 
-{$-0.021$}{\rm $c_{qt}^{1}$} 
-{$+0.021$}{\rm $c_{\varphi B}$} 
-{$-0.020$}{\rm $c_{qq}^{8,3}$} 
-{$-0.017$}{\rm $c_{\varphi D}$} 
-{$+0.015$}{\rm $c_{ut}^{8}$} 
-{$-0.015$}{\rm $c_{\varphi t}$} 
-{$-0.013$}{\rm $c_{WWW}$} 
-{$-0.013$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.011$}{\rm $c_{qq}^{1,1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.900$}{\rm $c_{t \varphi}$}
+{$+0.404$}{\rm $c_{\varphi \Box}$}
+{$-0.102$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.073$}{\rm $c_{tZ}$}
+{$+0.050$}{\rm $c_{dt}^{1}$}
+{$-0.041$}{\rm $c_{\varphi W}$}
+{$-0.031$}{\rm $c_{qd}^{1}$}
+{$+0.030$}{\rm $c_{qu}^{1}$}
+{$-0.029$}{\rm $c_{dt}^{8}$}
+{$+0.026$}{\rm $c_{qq}^{1,3}$}
+{$-0.021$}{\rm $c_{qt}^{1}$}
+{$+0.021$}{\rm $c_{\varphi B}$}
+{$-0.020$}{\rm $c_{qq}^{8,3}$}
+{$-0.017$}{\rm $c_{\varphi D}$}
+{$+0.015$}{\rm $c_{ut}^{8}$}
+{$-0.015$}{\rm $c_{\varphi t}$}
+{$-0.013$}{\rm $c_{WWW}$}
+{$-0.013$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.011$}{\rm $c_{qq}^{1,1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 29} (1.48e-01):}}
-{$+0.979$}{\rm $c_{\varphi Q}^{3}$} 
-{$+0.098$}{\rm $c_{\varphi t}$} 
-{$+0.088$}{\rm $c_{t \varphi}$} 
-{$+0.067$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$+0.056$}{\rm $c_{qq}^{1,3}$} 
-{$-0.049$}{\rm $c_{qd}^{1}$} 
-{$+0.048$}{\rm $c_{dt}^{1}$} 
-{$+0.047$}{\rm $c_{qu}^{1}$} 
-{$-0.038$}{\rm $c_{qq}^{1,1}$} 
-{$-0.037$}{\rm $c_{qd}^{8}$} 
-{$+0.036$}{\rm $c_{\varphi \Box}$} 
-{$+0.035$}{\rm $c_{ut}^{1}$} 
-{$-0.033$}{\rm $c_{dt}^{8}$} 
-{$-0.033$}{\rm $c_{qt}^{1}$} 
-{$+0.030$}{\rm $c_{qu}^{8}$} 
-{$-0.027$}{\rm $c_{qq}^{8,3}$} 
-{$-0.015$}{\rm $c_{tZ}$} 
-{$+0.014$}{\rm $c_{ut}^{8}$} 
-{$-0.014$}{\rm $c_{qt}^{8}$} 
-{$-0.011$}{\rm $c_{c \varphi}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.979$}{\rm $c_{\varphi Q}^{3}$}
+{$+0.098$}{\rm $c_{\varphi t}$}
+{$+0.088$}{\rm $c_{t \varphi}$}
+{$+0.067$}{\rm $c_{\varphi Q}^{(-)}$}
+{$+0.056$}{\rm $c_{qq}^{1,3}$}
+{$-0.049$}{\rm $c_{qd}^{1}$}
+{$+0.048$}{\rm $c_{dt}^{1}$}
+{$+0.047$}{\rm $c_{qu}^{1}$}
+{$-0.038$}{\rm $c_{qq}^{1,1}$}
+{$-0.037$}{\rm $c_{qd}^{8}$}
+{$+0.036$}{\rm $c_{\varphi \Box}$}
+{$+0.035$}{\rm $c_{ut}^{1}$}
+{$-0.033$}{\rm $c_{dt}^{8}$}
+{$-0.033$}{\rm $c_{qt}^{1}$}
+{$+0.030$}{\rm $c_{qu}^{8}$}
+{$-0.027$}{\rm $c_{qq}^{8,3}$}
+{$-0.015$}{\rm $c_{tZ}$}
+{$+0.014$}{\rm $c_{ut}^{8}$}
+{$-0.014$}{\rm $c_{qt}^{8}$}
+{$-0.011$}{\rm $c_{c \varphi}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 30} (7.78e-03):}}
-{$+0.974$}{\rm $c_{tZ}$} 
-{$-0.176$}{\rm $c_{\varphi t}$} 
-{$-0.103$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.061$}{\rm $c_{t \varphi}$} 
-{$+0.049$}{\rm $c_{\varphi B}$} 
-{$+0.045$}{\rm $c_{\varphi Q}^{3}$} 
-{$-0.043$}{\rm $c_{\varphi \Box}$} 
-{$+0.011$}{\rm $c_{\varphi W}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.974$}{\rm $c_{tZ}$}
+{$-0.176$}{\rm $c_{\varphi t}$}
+{$-0.103$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.061$}{\rm $c_{t \varphi}$}
+{$+0.049$}{\rm $c_{\varphi B}$}
+{$+0.045$}{\rm $c_{\varphi Q}^{3}$}
+{$-0.043$}{\rm $c_{\varphi \Box}$}
+{$+0.011$}{\rm $c_{\varphi W}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 31} (3.82e-03):}}
-{$-0.774$}{\rm $c_{\varphi t}$} 
-{$-0.588$}{\rm $c_{\varphi Q}^{(-)}$} 
-{$-0.206$}{\rm $c_{tZ}$} 
-{$+0.111$}{\rm $c_{\varphi Q}^{3}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.774$}{\rm $c_{\varphi t}$}
+{$-0.588$}{\rm $c_{\varphi Q}^{(-)}$}
+{$-0.206$}{\rm $c_{tZ}$}
+{$+0.111$}{\rm $c_{\varphi Q}^{3}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 32} (5.23e-04):}}
-{$-0.787$}{\rm $c_{tt}^{1}$} 
-{$-0.459$}{\rm $c_{Qt}^{8}$} 
-{$-0.387$}{\rm $c_{QQ}^{1}$} 
-{$-0.144$}{\rm $c_{QQ}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.787$}{\rm $c_{tt}^{1}$}
+{$-0.459$}{\rm $c_{Qt}^{8}$}
+{$-0.387$}{\rm $c_{QQ}^{1}$}
+{$-0.144$}{\rm $c_{QQ}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 33} (2.04e-05):}}
-{$+0.700$}{\rm $c_{QQ}^{8}$} 
-{$+0.572$}{\rm $c_{Qt}^{8}$} 
-{$-0.375$}{\rm $c_{tt}^{1}$} 
-{$-0.174$}{\rm $c_{QQ}^{1}$} 
-{$+0.111$}{\rm $c_{Qt}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.700$}{\rm $c_{QQ}^{8}$}
+{$+0.572$}{\rm $c_{Qt}^{8}$}
+{$-0.375$}{\rm $c_{tt}^{1}$}
+{$-0.174$}{\rm $c_{QQ}^{1}$}
+{$+0.111$}{\rm $c_{Qt}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 34} (1.28e-05):}}
-{$-0.699$}{\rm $c_{QQ}^{8}$} 
-{$+0.669$}{\rm $c_{Qt}^{8}$} 
-{$-0.225$}{\rm $c_{tt}^{1}$} 
-{$+0.085$}{\rm $c_{Qt}^{1}$} 
-{$-0.075$}{\rm $c_{QQ}^{1}$} 
- \nonumber \\ \nonumber \\ 
+{$-0.699$}{\rm $c_{QQ}^{8}$}
+{$+0.669$}{\rm $c_{Qt}^{8}$}
+{$-0.225$}{\rm $c_{tt}^{1}$}
+{$+0.085$}{\rm $c_{Qt}^{1}$}
+{$-0.075$}{\rm $c_{QQ}^{1}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 35} (1.28e-05):}}
-{$+0.984$}{\rm $c_{Qt}^{1}$} 
-{$-0.115$}{\rm $c_{Qt}^{8}$} 
-{$+0.111$}{\rm $c_{tt}^{1}$} 
-{$-0.069$}{\rm $c_{QQ}^{1}$} 
-{$-0.019$}{\rm $c_{QQ}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.984$}{\rm $c_{Qt}^{1}$}
+{$-0.115$}{\rm $c_{Qt}^{8}$}
+{$+0.111$}{\rm $c_{tt}^{1}$}
+{$-0.069$}{\rm $c_{QQ}^{1}$}
+{$-0.019$}{\rm $c_{QQ}^{8}$}
+ \nonumber \\ \nonumber \\
 \noindent \textcolor{red}{\underline{\bf{PC 36} (1.28e-05):}}
-{$+0.900$}{\rm $c_{QQ}^{1}$} 
-{$-0.421$}{\rm $c_{tt}^{1}$} 
-{$+0.106$}{\rm $c_{Qt}^{1}$} 
-{$-0.040$}{\rm $c_{Qt}^{8}$} 
-{$+0.014$}{\rm $c_{QQ}^{8}$} 
- \nonumber \\ \nonumber \\ 
+{$+0.900$}{\rm $c_{QQ}^{1}$}
+{$-0.421$}{\rm $c_{tt}^{1}$}
+{$+0.106$}{\rm $c_{Qt}^{1}$}
+{$-0.040$}{\rm $c_{Qt}^{8}$}
+{$+0.014$}{\rm $c_{QQ}^{8}$}
+ \nonumber \\ \nonumber \\
 \end{document}
diff --git a/docs/source/data_theory/covariance.rst b/docs/source/data_theory/covariance.rst
index c404bc75..f965144d 100644
--- a/docs/source/data_theory/covariance.rst
+++ b/docs/source/data_theory/covariance.rst
@@ -1,16 +1,16 @@
 Construction of the fit covariance matrix
 =========================================
 
-In the following we provide an explicit example of how the covariance matrix is built, 
+In the following we provide an explicit example of how the covariance matrix is built,
 given two datasets having both uncorrelated and correlated systematics.
-We consider 2 datasets having respectively 2 datapoints with 3 systematic uncertainties, and  
+We consider 2 datasets having respectively 2 datapoints with 3 systematic uncertainties, and
 3 datapoints with 2 systematic uncertainties.
 The total statistic uncertainties for the two datasets are denoted as
 
 .. math::
 
    \sigma_i\,, \,\,\, i = 1,2 \,\,\,\,\,\,\,\, \text{and} \,\,\,\,\,\,\,\,  \bar{\sigma}_j \,,\,\,\, j = 1,2,3
-  
+
 
 while the systematic uncertainties as
 
@@ -21,14 +21,14 @@ while the systematic uncertainties as
    \bar{\sigma}^{\text{sys},\theta}_i\,, \,\,\,\,\,\,\,\, i = 1,2,3\,, \,\,\,\, \theta = 1,2\,,
 
 with the upper and lower indices labelling the systematic and the datapoint respectively.
-We further assume that 
+We further assume that
 
-* the systematic :math:`\sigma^{\text{sys},1}_i\,,\,\,\, \sigma^{\text{sys},2}_i` of the first dataset  
-  are correlated within the dataset, and therefore named ``CORR`` according to our convention, 
+* the systematic :math:`\sigma^{\text{sys},1}_i\,,\,\,\, \sigma^{\text{sys},2}_i` of the first dataset
+  are correlated within the dataset, and therefore named ``CORR`` according to our convention,
   while :math:`\sigma^{\text{sys},3}_i` is named as ``SPECIAL``
 
 * regarding the second dataset, the systematic :math:`\bar{\sigma}^{\text{sys},1}_i` is taken as uncorrelated,
-  and therefore denoted as ``UNCORR``, while :math:`\bar{\sigma}^{\text{sys},2}_i` is named ``SPECIAL``, and 
+  and therefore denoted as ``UNCORR``, while :math:`\bar{\sigma}^{\text{sys},2}_i` is named ``SPECIAL``, and
   therefore will be correlated with the one of the other dataset having the same name
 
 
@@ -36,21 +36,21 @@ Considering a single dataset, the covariance matrix is given by
 
 .. math::
 
-    \text{cov}_{ij} = \sigma_i\,\sigma_j \, \delta_{ij} + \sum_{\theta}\sigma^{\text{sys},\theta}_i \sigma^{\text{sys},\theta}_j 
+    \text{cov}_{ij} = \sigma_i\,\sigma_j \, \delta_{ij} + \sum_{\theta}\sigma^{\text{sys},\theta}_i \sigma^{\text{sys},\theta}_j
 
-where the sum on :math:`\theta` runs on the correlated systematics between the point :math:`i\,,\,\,j`. 
-When considering the two datasets together, additional off diagonal contributions should be added to account for 
+where the sum on :math:`\theta` runs on the correlated systematics between the point :math:`i\,,\,\,j`.
+When considering the two datasets together, additional off diagonal contributions should be added to account for
 the correlated systematics denoted as ``SPECIAL``.
 Specifically we have, from the statistical, ``CORR`` and ``UNCORR`` uncertainties
 
 .. math::
-    
+
     \begin{pmatrix}
     \sigma_1^2 & 0 & 0 & 0 & 0 \\
     0 & \sigma_2^2 & 0 & 0 & 0 \\
     0 & 0 & \bar{\sigma}_1^2 & 0 & 0 \\
     0 & 0 & 0 & \bar{\sigma}_2^2 & 0 \\
-    0 & 0 & 0 & 0 & \bar{\sigma}_3^2 
+    0 & 0 & 0 & 0 & \bar{\sigma}_3^2
     \end{pmatrix}
     +
     \begin{pmatrix}
@@ -67,9 +67,8 @@ while from the cross correlated systematic
 
     \begin{pmatrix}
     \left(\sigma_1^{\text{sys},3}\right)^2 & \sigma_1^{\text{sys},3}\sigma_2^{\text{sys},3} & \sigma_1^{\text{sys},3}\bar{\sigma}_1^{\text{sys},2} & \sigma_1^{\text{sys},3}\bar{\sigma}_2^{\text{sys},2} & \sigma_1^{\text{sys},3}\bar{\sigma}_3^{\text{sys},2} \\
-    \sigma_2^{\text{sys},3}\sigma_1^{\text{sys},3} & \left(\sigma_2^{\text{sys},3}\right)^2 & \sigma_2^{\text{sys},3}\bar{\sigma}_1^{\text{sys},2} & \sigma_2^{\text{sys},3}\bar{\sigma}_2^{\text{sys},2} & \sigma_2^{\text{sys},3}\bar{\sigma}_3^{\text{sys},2} \\    
+    \sigma_2^{\text{sys},3}\sigma_1^{\text{sys},3} & \left(\sigma_2^{\text{sys},3}\right)^2 & \sigma_2^{\text{sys},3}\bar{\sigma}_1^{\text{sys},2} & \sigma_2^{\text{sys},3}\bar{\sigma}_2^{\text{sys},2} & \sigma_2^{\text{sys},3}\bar{\sigma}_3^{\text{sys},2} \\
     \bar{\sigma}_1^{\text{sys},2}\sigma_1^{\text{sys},3} & \bar{\sigma}_1^{\text{sys},2}\sigma_2^{\text{sys},3} & \left(\bar{\sigma}_1^{\text{sys},2}\right)^2 & \bar{\sigma}_1^{\text{sys},2}\bar{\sigma}_2^{\text{sys},2} & \bar{\sigma}_1^{\text{sys},2}\bar{\sigma}_3^{\text{sys},2} \\
     \bar{\sigma}_2^{\text{sys},2}\sigma_1^{\text{sys},3} & \bar{\sigma}_2^{\text{sys},2}\sigma_2^{\text{sys},3} & \bar{\sigma}_2^{\text{sys},2}\bar{\sigma}_1^{\text{sys},2} & \left(\bar{\sigma}_2^{\text{sys},2}\right)^2 & \bar{\sigma}_2^{\text{sys},2}\bar{\sigma}_3^{\text{sys},2} \\
     \bar{\sigma}_3^{\text{sys},2}\sigma_1^{\text{sys},3} & \bar{\sigma}_3^{\text{sys},2}\sigma_2^{\text{sys},3} & \bar{\sigma}_3^{\text{sys},2}\bar{\sigma}_1^{\text{sys},2} & \bar{\sigma}_3^{\text{sys},2}\bar{\sigma}_2^{\text{sys},2} & \left(\bar{\sigma}_3^{\text{sys},2}\right)^2
     \end{pmatrix}
-
diff --git a/docs/source/data_theory/data.md b/docs/source/data_theory/data.md
index 9416d455..d26a65bc 100644
--- a/docs/source/data_theory/data.md
+++ b/docs/source/data_theory/data.md
@@ -56,7 +56,7 @@ The systematic name can be ``CORR``, ``UNCORR`` to specify whether the systemati
 In the same way ``THEORYCORR`` and ``THEORYUNCORR`` can be used for correlated and uncorrelated theory systematics within a dataset.
 
 For uncertainties correlated between different dataset a different name has to be used, which must be
-the same for the corresponding systematic in all the datasets. For the details about the construction of the 
+the same for the corresponding systematic in all the datasets. For the details about the construction of the
 covariance matrix from the list of statistic and systematic uncertainty see [here](./covariance.html#construction-of-the-covariance-matrix).
 
 For some dataset only the full covariance matrix might be available. In order to use the dataset within the ``smefit`` code, the user has to decompose it in a set of correlated systematics,
@@ -68,8 +68,8 @@ This can be easily done by decomposing the covariance into its eigenvectors
   \text{cov}_{ij} = \sum_{k,h}\, u_{ik}\,\lambda_{k}\, \delta_{kh}\, u^T_{hj} = \sum_k \sigma^k_i \,\sigma^k_j\,,
 ```
 
-with 
+with
 
 ```math
   \sigma^k_i = \sqrt{\lambda_k} \, u_{ik}\,,     \,\,\,\,\,\,\,\,\, i,k = 1,\,...\,,n_{dat}
-```
\ No newline at end of file
+```
diff --git a/docs/source/data_theory/theory.rst b/docs/source/data_theory/theory.rst
index 0ede46d3..147a4da2 100644
--- a/docs/source/data_theory/theory.rst
+++ b/docs/source/data_theory/theory.rst
@@ -8,15 +8,15 @@ Theory tables are json files containing the following information:
 * theory covariance matrix for the specific dataset considered: provided as a ``N x N`` matrix like ``[[th_cov_11, ... ,th_cov_1N], ... , [th_cov_N1, ... ,th_cov_NN]]`` with ``N`` being the number of data points
 
 * LO and NLO predictions with linear and quadratic SMEFT corrections: provided as two independent dictionaries ``LO: {}`` and ``NLO: {}`` each containing
-  
+
   * SM predictions obtained at that specific order ``SM: [sm_prediction_1, ... , sm_prediction_N]``
   * linear terms for each operator involved in the computation ``Opi: [linear_term_Opi_1, ..., linear_term_Opi_N]``
   * quadratic terms for each couple of operators (when present) ``Opi*Opj: [quad_term_Opi*Opj_1, ..., quad_term_Opi*Opj_N]``
- 
+
 The EFT corrections should always be provided in the Warsaw basis. In order to produce a fit with a different basis,
 the corresponding rotation matrix has to be provided externally, see :ref:`here<rotation>` for more details.
 
-The above information are used to build the theory predictions for the different observables 
+The above information are used to build the theory predictions for the different observables
 entering the :math:`\chi^2`. As default theory predictions are expressed as
 
 .. math::
@@ -34,5 +34,5 @@ The user can also choose to use the relation
 
 instead by setting in the runcard ``use_multiplicative_prescription: True``.
 The reason to take the ratios :math:`\frac{{\kappa_i}^{\rm LO/NLO}}{\sigma_{\rm SM}^{\rm LO/NLO}}` and :math:`\frac{\widetilde{\kappa}_{ij}^{\rm LO/NLO}}{\sigma_{\rm SM}^{\rm LO/NLO}}`
-is to reduce the dependence on the specific set of parton distribution functions used to computed the 
+is to reduce the dependence on the specific set of parton distribution functions used to computed the
 LO and NLO predictions.
diff --git a/docs/source/report/links.rst b/docs/source/report/links.rst
index 152a640b..0704b95c 100644
--- a/docs/source/report/links.rst
+++ b/docs/source/report/links.rst
@@ -16,7 +16,7 @@ Below you can find some links to reports used in the most recent studies.
      - `report <../_static/report_smefit20_quad/index.html>`_
    * - ATLAS EFT interpretation
      - `report <../_static/report_STXS_2020/index.html>`_
-   * - Baseline smefit2.0 with linear corrections: NLO vs LO 
+   * - Baseline smefit2.0 with linear corrections: NLO vs LO
      - `report <../_static/LO_NLO_linear/index.html>`_
-   * - Baseline smefit2.0 with quadratic corrections: NLO vs LO 
-     - `report <../_static/LO_NLO_quadratic/index.html>`_
\ No newline at end of file
+   * - Baseline smefit2.0 with quadratic corrections: NLO vs LO
+     - `report <../_static/LO_NLO_quadratic/index.html>`_
diff --git a/docs/source/shared/abbreviations.rst b/docs/source/shared/abbreviations.rst
index 29f1ddc7..a18cde56 100644
--- a/docs/source/shared/abbreviations.rst
+++ b/docs/source/shared/abbreviations.rst
@@ -42,4 +42,4 @@
    :abbr:`MC (Monte Carlo)`
 
 .. |A| replace::
-   :abbr:`A (Analytic linear)`
\ No newline at end of file
+   :abbr:`A (Analytic linear)`
diff --git a/rotations/fitbasis_28_pars.json b/rotations/fitbasis_28_pars.json
index 0b0aa779..a82dc553 100644
--- a/rotations/fitbasis_28_pars.json
+++ b/rotations/fitbasis_28_pars.json
@@ -1889,4 +1889,4 @@
     ]
   ],
   "labels": {}
-}
\ No newline at end of file
+}
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_21_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_21_Mass_1_Tree.py
index 5ca9f661..794992e0 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_21_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_21_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_22_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_22_Mass_1_Tree.py
index e4d83d0d..72328d6c 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_22_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_22_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_23_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_23_Mass_1_Tree.py
index 1ea03334..f7606a55 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_23_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_23_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_24_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_24_Mass_1_Tree.py
index 3b411cb3..18b85ccb 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_24_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_24_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_2_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_2_Mass_1_Tree.py
index 7d7450a2..49307b0e 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_2_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_2_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_37_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_37_Mass_1_Tree.py
index 7ee2a655..08536298 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_37_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_37_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_38_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_38_Mass_1_Tree.py
index 7ffeb777..b1432d30 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_38_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_38_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_39_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_39_Mass_1_Tree.py
index 6114348b..a3d58d5f 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_39_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_39_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_40_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_40_Mass_1_Tree.py
index 188e528c..f0d470bc 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_40_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_40_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_41_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_41_Mass_1_Tree.py
index f0daaeaf..72f9d3e8 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_41_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_41_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_42_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_42_Mass_1_Tree.py
index b55b0a2a..f5844d20 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_42_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_42_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_43_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_43_Mass_1_Tree.py
index 4e0f2ea5..01c74443 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_43_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_43_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_44_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_44_Mass_1_Tree.py
index a016ea82..62f119b0 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_44_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_44_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_46_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_46_Mass_1_Tree.py
index d6b5e6d5..756797aa 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_46_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_46_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_47_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_47_Mass_1_Tree.py
index dbbbdb96..4d4bc34c 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_47_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_47_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_48_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_48_Mass_1_Tree.py
index ab6e06f6..061fe35a 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_48_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_48_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_49_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_49_Mass_1_Tree.py
index 006ed77d..130ad2bf 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_49_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_49_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_50_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_50_Mass_1_Tree.py
index a4b81a3e..fe1fd2ae 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_50_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_50_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_51_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_51_Mass_1_Tree.py
index a82f9a21..6fa42008 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_51_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_51_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_52_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_52_Mass_1_Tree.py
index 7fc9812b..f543303e 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_52_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_52_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_53_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_53_Mass_1_Tree.py
index 78e40fe2..b0907e34 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_53_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_53_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_5_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_5_Mass_1_Tree.py
index 38a237b8..d941ac97 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_5_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_5_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_6_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_6_Mass_1_Tree.py
index db4ffe9a..a8c14619 100644
--- a/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_6_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Fitmaker/InvarsFit_Fitmaker_Model_6_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_10_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_10_Mass_1_Tree.py
index ae652ec1..a3e02953 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_10_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_10_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=10, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=10, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	yomega1qqf33 = results.yomega1qqf33
-	return np.abs(yomega1qqf33)
-
+    yomega1qqf33 = results.yomega1qqf33
+    return np.abs(yomega1qqf33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_12_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_12_Mass_1_Tree.py
index 2e896890..160a3a7d 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_12_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_12_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=12, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=12, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	yomega4uuf33 = results.yomega4uuf33
-	return np.abs(yomega4uuf33)
-
+    yomega4uuf33 = results.yomega4uuf33
+    return np.abs(yomega4uuf33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_15_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_15_Mass_1_Tree.py
index 67e05e54..471b8341 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_15_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_15_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=15, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=15, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	yZetaqqf33 = results.yZetaqqf33
-	return np.abs(yZetaqqf33)
-
+    yZetaqqf33 = results.yZetaqqf33
+    return np.abs(yZetaqqf33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_16_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_16_Mass_1_Tree.py
index b8fd15bd..76c2e2fa 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_16_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_16_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=16, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=16, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	yOmega1qqf33 = results.yOmega1qqf33
-	return np.abs(yOmega1qqf33)
-
+    yOmega1qqf33 = results.yOmega1qqf33
+    return np.abs(yOmega1qqf33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_18_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_18_Mass_1_Tree.py
index f0b67da4..fc65c069 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_18_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_18_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=18, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=18, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	yOmega4f33 = results.yOmega4f33
-	return np.abs(yOmega4f33)
-
+    yOmega4f33 = results.yOmega4f33
+    return np.abs(yOmega4f33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_19_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_19_Mass_1_Tree.py
index 0d5b50fb..b6a88284 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_19_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_19_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=19, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=19, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	yUpsf33 = results.yUpsf33
-	return np.abs(yUpsf33)
-
+    yUpsf33 = results.yUpsf33
+    return np.abs(yUpsf33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_20_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_20_Mass_1_Tree.py
index 27f285ec..f4722d86 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_20_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_20_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=20, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=20, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	yPhiquf33 = results.yPhiquf33
-	return np.abs(yPhiquf33)
-
+    yPhiquf33 = results.yPhiquf33
+    return np.abs(yPhiquf33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_21_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_21_Mass_1_Tree.py
index 306c8d0f..e67235fb 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_21_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_21_Mass_1_Tree.py
@@ -1,48 +1,56 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=21, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=21, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	gBef11 = results.gBef11
-	return np.abs(gBef11)
+    gBef11 = results.gBef11
+    return np.abs(gBef11)
+
 
 def inv2(results):
-	gBef22 = results.gBef22
-	return np.abs(gBef22)
+    gBef22 = results.gBef22
+    return np.abs(gBef22)
+
 
 def inv3(results):
-	gBef33 = results.gBef33
-	return np.abs(gBef33)
+    gBef33 = results.gBef33
+    return np.abs(gBef33)
+
 
 def inv4(results):
-	gBef11 = results.gBef11
-	gBH = results.gBH
-	return (gBef11*gBH)/np.abs(gBef11)
+    gBef11 = results.gBef11
+    gBH = results.gBH
+    return (gBef11 * gBH) / np.abs(gBef11)
+
 
 def inv5(results):
-	gBH = results.gBH
-	gBLf11 = results.gBLf11
-	return (gBH*gBLf11)/np.abs(gBH)
+    gBH = results.gBH
+    gBLf11 = results.gBLf11
+    return (gBH * gBLf11) / np.abs(gBH)
+
 
 def inv6(results):
-	gBH = results.gBH
-	gBLf22 = results.gBLf22
-	return (gBH*gBLf22)/np.abs(gBH)
+    gBH = results.gBH
+    gBLf22 = results.gBLf22
+    return (gBH * gBLf22) / np.abs(gBH)
+
 
 def inv7(results):
-	gBH = results.gBH
-	gBLf33 = results.gBLf33
-	return (gBH*gBLf33)/np.abs(gBH)
+    gBH = results.gBH
+    gBLf33 = results.gBLf33
+    return (gBH * gBLf33) / np.abs(gBH)
+
 
 def inv8(results):
-	gBH = results.gBH
-	gBqf33 = results.gBqf33
-	return (gBH*gBqf33)/np.abs(gBH)
+    gBH = results.gBH
+    gBqf33 = results.gBqf33
+    return (gBH * gBqf33) / np.abs(gBH)
 
-def inv9(results):
-	gBH = results.gBH
-	gBuf33 = results.gBuf33
-	return (gBH*gBuf33)/np.abs(gBH)
 
+def inv9(results):
+    gBH = results.gBH
+    gBuf33 = results.gBuf33
+    return (gBH * gBuf33) / np.abs(gBH)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_22_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_22_Mass_1_Tree.py
index dd546c7c..849869ee 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_22_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_22_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=22, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=22, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	gB1H = results.gB1H
-	return np.abs(gB1H)
-
+    gB1H = results.gB1H
+    return np.abs(gB1H)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_23_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_23_Mass_1_Tree.py
index 1239d13e..6754d8f0 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_23_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_23_Mass_1_Tree.py
@@ -1,30 +1,34 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=23, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=23, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	gWH = results.gWH
-	return np.abs(gWH)
+    gWH = results.gWH
+    return np.abs(gWH)
+
 
 def inv2(results):
-	gWH = results.gWH
-	gWLf11 = results.gWLf11
-	return (gWH*gWLf11)/np.abs(gWH)
+    gWH = results.gWH
+    gWLf11 = results.gWLf11
+    return (gWH * gWLf11) / np.abs(gWH)
+
 
 def inv3(results):
-	gWH = results.gWH
-	gWLf22 = results.gWLf22
-	return (gWH*gWLf22)/np.abs(gWH)
+    gWH = results.gWH
+    gWLf22 = results.gWLf22
+    return (gWH * gWLf22) / np.abs(gWH)
+
 
 def inv4(results):
-	gWH = results.gWH
-	gWLf33 = results.gWLf33
-	return (gWH*gWLf33)/np.abs(gWH)
+    gWH = results.gWH
+    gWLf33 = results.gWLf33
+    return (gWH * gWLf33) / np.abs(gWH)
 
-def inv5(results):
-	gWH = results.gWH
-	gWqf33 = results.gWqf33
-	return (gWH*gWqf33)/np.abs(gWH)
 
+def inv5(results):
+    gWH = results.gWH
+    gWqf33 = results.gWqf33
+    return (gWH * gWqf33) / np.abs(gWH)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_24_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_24_Mass_1_Tree.py
index 9cb3a0fd..2a98fec8 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_24_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_24_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=24, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=24, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	gW1H = results.gW1H
-	return np.abs(gW1H)
-
+    gW1H = results.gW1H
+    return np.abs(gW1H)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_25_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_25_Mass_1_Tree.py
index dc440fc1..c24cfdd5 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_25_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_25_Mass_1_Tree.py
@@ -1,15 +1,16 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=25, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=25, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	gGqf33 = results.gGqf33
-	return np.abs(gGqf33)
+    gGqf33 = results.gGqf33
+    return np.abs(gGqf33)
 
-def inv2(results):
-	gGqf33 = results.gGqf33
-	gGuf33 = results.gGuf33
-	return (gGqf33*gGuf33)/np.abs(gGqf33)
 
+def inv2(results):
+    gGqf33 = results.gGqf33
+    gGuf33 = results.gGuf33
+    return (gGqf33 * gGuf33) / np.abs(gGqf33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_27_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_27_Mass_1_Tree.py
index a0a16579..1f48703a 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_27_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_27_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=27, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=27, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	gHf33 = results.gHf33
-	return np.abs(gHf33)
-
+    gHf33 = results.gHf33
+    return np.abs(gHf33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_28_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_28_Mass_1_Tree.py
index 6ce28c3d..13e32b2a 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_28_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_28_Mass_1_Tree.py
@@ -1,6 +1,5 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=28, collection="Granada", mass=1, pto="NLO", eft="NHO" )
-
-
+MODEL_SPECS = dict(id=28, collection="Granada", mass=1, pto="NLO", eft="NHO")
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_2_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_2_Mass_1_Tree.py
index c3e810b8..5dd48bcf 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_2_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_2_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=2, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=2, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	kS = results.kS
-	return np.abs(kS)
-
+    kS = results.kS
+    return np.abs(kS)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_33_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_33_Mass_1_Tree.py
index 3ab76878..2998f62a 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_33_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_33_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=33, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=33, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	gQv5uqf33 = results.gQv5uqf33
-	return np.abs(gQv5uqf33)
-
+    gQv5uqf33 = results.gQv5uqf33
+    return np.abs(gQv5uqf33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_36_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_36_Mass_1_Tree.py
index e26db7c6..0e6d5093 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_36_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_36_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=36, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=36, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	gY5f33 = results.gY5f33
-	return np.abs(gY5f33)
-
+    gY5f33 = results.gY5f33
+    return np.abs(gY5f33)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_37_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_37_Mass_1_Tree.py
index d87b08cb..d5fdf313 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_37_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_37_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=37, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=37, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamNef3 = results.lamNef3
-	return np.abs(lamNef3)
-
+    lamNef3 = results.lamNef3
+    return np.abs(lamNef3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_38_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_38_Mass_1_Tree.py
index 80b60d07..26680775 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_38_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_38_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=38, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=38, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamEff3 = results.lamEff3
-	return np.abs(lamEff3)
-
+    lamEff3 = results.lamEff3
+    return np.abs(lamEff3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_39_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_39_Mass_1_Tree.py
index 9a5d4958..9bc93d0c 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_39_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_39_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=39, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=39, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamDelta1f3 = results.lamDelta1f3
-	return np.abs(lamDelta1f3)
-
+    lamDelta1f3 = results.lamDelta1f3
+    return np.abs(lamDelta1f3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_3_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_3_Mass_1_Tree.py
index 753273f7..310adfd3 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_3_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_3_Mass_1_Tree.py
@@ -1,12 +1,12 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=3, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=3, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	m = results.m
-	yS1f12 = results.yS1f12
-	yS1f21 = results.yS1f21
-	return (yS1f12*yS1f21)/m**2
-
+    m = results.m
+    yS1f12 = results.yS1f12
+    yS1f21 = results.yS1f21
+    return (yS1f12 * yS1f21) / m**2
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_40_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_40_Mass_1_Tree.py
index df10efa7..7345ce9b 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_40_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_40_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=40, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=40, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamDelta3f3 = results.lamDelta3f3
-	return np.abs(lamDelta3f3)
-
+    lamDelta3f3 = results.lamDelta3f3
+    return np.abs(lamDelta3f3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_41_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_41_Mass_1_Tree.py
index a5d32839..217d39e5 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_41_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_41_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=41, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=41, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamSigmaf3 = results.lamSigmaf3
-	return np.abs(lamSigmaf3)
-
+    lamSigmaf3 = results.lamSigmaf3
+    return np.abs(lamSigmaf3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_42_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_42_Mass_1_Tree.py
index 5aef0591..059e04f0 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_42_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_42_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=42, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=42, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamSigma1f3 = results.lamSigma1f3
-	return np.abs(lamSigma1f3)
-
+    lamSigma1f3 = results.lamSigma1f3
+    return np.abs(lamSigma1f3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_43_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_43_Mass_1_Tree.py
index c99ca2b1..5d92c79a 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_43_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_43_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=43, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=43, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamUf3 = results.lamUf3
-	return np.abs(lamUf3)
-
+    lamUf3 = results.lamUf3
+    return np.abs(lamUf3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_44_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_44_Mass_1_Tree.py
index 45a535e9..60e4ae5c 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_44_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_44_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=44, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=44, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamDff3 = results.lamDff3
-	return np.abs(lamDff3)
-
+    lamDff3 = results.lamDff3
+    return np.abs(lamDff3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_45_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_45_Mass_1_Tree.py
index 6908862c..36b3d456 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_45_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_45_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=45, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=45, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamQ1uf3 = results.lamQ1uf3
-	return np.abs(lamQ1uf3)
-
+    lamQ1uf3 = results.lamQ1uf3
+    return np.abs(lamQ1uf3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_47_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_47_Mass_1_Tree.py
index d24aa0be..be879368 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_47_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_47_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=47, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=47, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamQ7f3 = results.lamQ7f3
-	return np.abs(lamQ7f3)
-
+    lamQ7f3 = results.lamQ7f3
+    return np.abs(lamQ7f3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_48_Mass_10_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_48_Mass_10_Tree.py
index ed2b7f89..96e0183a 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_48_Mass_10_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_48_Mass_10_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=48, collection="Granada", mass=10, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=48, collection="Granada", mass=10, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamT1f3 = results.lamT1f3
-	return np.abs(lamT1f3)
-
+    lamT1f3 = results.lamT1f3
+    return np.abs(lamT1f3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_48_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_48_Mass_1_Tree.py
index 9d50191e..98ea3e1c 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_48_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_48_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=48, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=48, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamT1f3 = results.lamT1f3
-	return np.abs(lamT1f3)
-
+    lamT1f3 = results.lamT1f3
+    return np.abs(lamT1f3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_49_Mass_10_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_49_Mass_10_Tree.py
index a9915840..b00434ac 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_49_Mass_10_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_49_Mass_10_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=49, collection="Granada", mass=10, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=49, collection="Granada", mass=10, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamT2f3 = results.lamT2f3
-	return np.abs(lamT2f3)
-
+    lamT2f3 = results.lamT2f3
+    return np.abs(lamT2f3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_49_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_49_Mass_1_Tree.py
index 2ecea3eb..ff61d8ee 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_49_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_49_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=49, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=49, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamT2f3 = results.lamT2f3
-	return np.abs(lamT2f3)
-
+    lamT2f3 = results.lamT2f3
+    return np.abs(lamT2f3)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_5_Mass_10_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_5_Mass_10_Tree.py
index 251f3e99..ee5f1084 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_5_Mass_10_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_5_Mass_10_Tree.py
@@ -1,15 +1,16 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=5, collection="Granada", mass=10, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=5, collection="Granada", mass=10, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamVarphi = results.lamVarphi
-	return np.abs(lamVarphi)
+    lamVarphi = results.lamVarphi
+    return np.abs(lamVarphi)
 
-def inv2(results):
-	lamVarphi = results.lamVarphi
-	yVarphiuf33 = results.yVarphiuf33
-	return (lamVarphi*yVarphiuf33)/np.abs(lamVarphi)
 
+def inv2(results):
+    lamVarphi = results.lamVarphi
+    yVarphiuf33 = results.yVarphiuf33
+    return (lamVarphi * yVarphiuf33) / np.abs(lamVarphi)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_5_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_5_Mass_1_Tree.py
index 325805fe..2a2ac2eb 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_5_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_5_Mass_1_Tree.py
@@ -1,15 +1,16 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=5, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=5, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamVarphi = results.lamVarphi
-	return np.abs(lamVarphi)
+    lamVarphi = results.lamVarphi
+    return np.abs(lamVarphi)
 
-def inv2(results):
-	lamVarphi = results.lamVarphi
-	yVarphiuf33 = results.yVarphiuf33
-	return (lamVarphi*yVarphiuf33)/np.abs(lamVarphi)
 
+def inv2(results):
+    lamVarphi = results.lamVarphi
+    yVarphiuf33 = results.yVarphiuf33
+    return (lamVarphi * yVarphiuf33) / np.abs(lamVarphi)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_6_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_6_Mass_1_Tree.py
index dcb2c45f..70899578 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_6_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_6_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=6, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=6, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	kXi = results.kXi
-	return np.abs(kXi)
-
+    kXi = results.kXi
+    return np.abs(kXi)
diff --git a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_7_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_7_Mass_1_Tree.py
index 63c17834..77b9e16c 100644
--- a/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_7_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Granada/InvarsFit_Granada_Model_7_Mass_1_Tree.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id=7, collection="Granada", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id=7, collection="Granada", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	kXi1 = results.kXi1
-	return np.abs(kXi1)
-
+    kXi1 = results.kXi1
+    return np.abs(kXi1)
diff --git a/runcards/uv_models/UV_scan/Granada/out_UV_dict_Coll_Granada_Mod_49_Mass_10_Tree.yaml b/runcards/uv_models/UV_scan/Granada/out_UV_dict_Coll_Granada_Mod_49_Mass_10_Tree.yaml
index 8a54705e..9646c8c6 100644
--- a/runcards/uv_models/UV_scan/Granada/out_UV_dict_Coll_Granada_Mod_49_Mass_10_Tree.yaml
+++ b/runcards/uv_models/UV_scan/Granada/out_UV_dict_Coll_Granada_Mod_49_Mass_10_Tree.yaml
@@ -68,4 +68,4 @@ ctZ : [{lamT2f3: [0.,0]}]
 # Miscellaneous information
 # Matching results address: C:\Users\a95826ar.DS\Documents\GitHub\match2fit\sample_results/MatchingResult_T2_oneloop.dat
 # Export date: Tue 26 Mar 2024 08:27:07
-# Modified by hand to match naming conventions of the Granada model collection
\ No newline at end of file
+# Modified by hand to match naming conventions of the Granada model collection
diff --git a/runcards/uv_models/UV_scan/Multiparticle/InvarsFit_MultiParticleCollection_Model_Q1_Q7_W_Mass_1_Tree.py b/runcards/uv_models/UV_scan/Multiparticle/InvarsFit_MultiParticleCollection_Model_Q1_Q7_W_Mass_1_Tree.py
index 13fd197d..956d1497 100644
--- a/runcards/uv_models/UV_scan/Multiparticle/InvarsFit_MultiParticleCollection_Model_Q1_Q7_W_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/Multiparticle/InvarsFit_MultiParticleCollection_Model_Q1_Q7_W_Mass_1_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/Multiparticle/InvarsFit_MultiParticleCollection_Model_Q1_Q7_W_NoDegen_Mass_342_Tree.py b/runcards/uv_models/UV_scan/Multiparticle/InvarsFit_MultiParticleCollection_Model_Q1_Q7_W_NoDegen_Mass_342_Tree.py
index 858e0b42..be827ead 100644
--- a/runcards/uv_models/UV_scan/Multiparticle/InvarsFit_MultiParticleCollection_Model_Q1_Q7_W_NoDegen_Mass_342_Tree.py
+++ b/runcards/uv_models/UV_scan/Multiparticle/InvarsFit_MultiParticleCollection_Model_Q1_Q7_W_NoDegen_Mass_342_Tree.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
diff --git a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T1_Mass_10_Loop.py b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T1_Mass_10_Loop.py
index 372dab40..f5b1d760 100644
--- a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T1_Mass_10_Loop.py
+++ b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T1_Mass_10_Loop.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id="T1", collection="OneLoop", mass=10, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id="T1", collection="OneLoop", mass=10, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lambdaT13 = results.lambdaT13
-	return np.abs(lambdaT13)
-
+    lambdaT13 = results.lambdaT13
+    return np.abs(lambdaT13)
diff --git a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T1_Mass_1_Loop.py b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T1_Mass_1_Loop.py
index b6e80959..a789a596 100644
--- a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T1_Mass_1_Loop.py
+++ b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T1_Mass_1_Loop.py
@@ -1,10 +1,16 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id="UserModel", collection="TestMatchingCollection1Loop", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(
+    id="UserModel",
+    collection="TestMatchingCollection1Loop",
+    mass=1,
+    pto="NLO",
+    eft="NHO",
+)
 
 
 def inv1(results):
-	lambdaT13 = results.lambdaT13
-	return np.abs(lambdaT13)
-
+    lambdaT13 = results.lambdaT13
+    return np.abs(lambdaT13)
diff --git a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T2_Mass_10_Loop.py b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T2_Mass_10_Loop.py
index 3b410c66..ff8a0200 100644
--- a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T2_Mass_10_Loop.py
+++ b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T2_Mass_10_Loop.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id="T2", collection="OneLoop", mass=10, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id="T2", collection="OneLoop", mass=10, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lambdaT23 = results.lambdaT23
-	return np.abs(lambdaT23)
-
+    lambdaT23 = results.lambdaT23
+    return np.abs(lambdaT23)
diff --git a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T2_Mass_1_Loop.py b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T2_Mass_1_Loop.py
index 36039555..24e27308 100644
--- a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T2_Mass_1_Loop.py
+++ b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_T2_Mass_1_Loop.py
@@ -1,10 +1,10 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id="T2", collection="OneLoop", mass=1, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id="T2", collection="OneLoop", mass=1, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lambdaT23 = results.lambdaT23
-	return np.abs(lambdaT23)
-
+    lambdaT23 = results.lambdaT23
+    return np.abs(lambdaT23)
diff --git a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_Varphi_Mass_10_Loop.py b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_Varphi_Mass_10_Loop.py
index 11d76952..339c681e 100644
--- a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_Varphi_Mass_10_Loop.py
+++ b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_Varphi_Mass_10_Loop.py
@@ -1,15 +1,16 @@
+# -*- coding: utf-8 -*-
 import numpy as np
 from utils import inspect_model
 
-MODEL_SPECS = dict(id="Varphi", collection="OneLoop", mass=10, pto="NLO", eft="NHO" )
+MODEL_SPECS = dict(id="Varphi", collection="OneLoop", mass=10, pto="NLO", eft="NHO")
 
 
 def inv1(results):
-	lamvarphi = results.lamvarphi
-	return np.abs(lamvarphi)
+    lamvarphi = results.lamvarphi
+    return np.abs(lamvarphi)
 
-def inv2(results):
-	lamvarphi = results.lamvarphi
-	yVarphiuf33 = results.yVarphiuf33
-	return (lamvarphi*yVarphiuf33)/np.abs(lamvarphi)
 
+def inv2(results):
+    lamvarphi = results.lamvarphi
+    yVarphiuf33 = results.yVarphiuf33
+    return (lamvarphi * yVarphiuf33) / np.abs(lamvarphi)
diff --git a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_Varphi_Mass_1_Tree.py b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_Varphi_Mass_1_Tree.py
index b2ff1db6..d2614bb9 100644
--- a/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_Varphi_Mass_1_Tree.py
+++ b/runcards/uv_models/UV_scan/OneLoop/InvarsFit_OneLoop_Model_Varphi_Mass_1_Tree.py
@@ -1,8 +1,7 @@
+# -*- coding: utf-8 -*-
 import numpy as np
-
 from utils import inspect_model
 
-
 MODEL_SPECS = dict(
     id="Varphi", collection="OneLoop", mass=1, pto="NLO", eft="NHO"  # in TeV
 )
diff --git a/runcards/uv_models/write_runcards.py b/runcards/uv_models/write_runcards.py
index c72a2a33..81aba699 100644
--- a/runcards/uv_models/write_runcards.py
+++ b/runcards/uv_models/write_runcards.py
@@ -69,7 +69,7 @@ def dump_runcard(
     pto: str,
     fitting_mode: str,
     mass: str,
-    collider: str
+    collider: str,
 ) -> None:
     """Parse a model card to a SMEFiT runcard."""
     if "OneLoop" in collection:
@@ -89,7 +89,7 @@ def dump_runcard(
     runcard["use_quad"] = eft_order == "HO"
 
     # names
-    #runcard["result_ID"] = f"Model_UV_{idx_model}_{pto}_{eft_order}"
+    # runcard["result_ID"] = f"Model_UV_{idx_model}_{pto}_{eft_order}"
     runcard["Model name"] = model_dict["Model name"]
     runcard["UV Collection"] = model_dict["UV Collection"]
     runcard["UV model"] = model_dict["UV model"]
@@ -141,5 +141,5 @@ def dump_runcard(
         args.qcd_order,
         args.mode,
         args.mass,
-        args.collider
+        args.collider,
     )
diff --git a/smefit_uv/fcc_bounds.py b/smefit_uv/fcc_bounds.py
index 8315363d..760ebe92 100644
--- a/smefit_uv/fcc_bounds.py
+++ b/smefit_uv/fcc_bounds.py
@@ -6,19 +6,15 @@
 import sys
 from collections import defaultdict
 from pathlib import Path
-from latex_dicts import mod_dict
-from latex_dicts import uv_param_dict
-from latex_dicts import inv_param_dict
-
-# import arviz as az
-from sigfig import round
 
 import matplotlib.pyplot as plt
 import numpy as np
-from matplotlib import rc, use
 from histogram_tools import find_xrange
+from latex_dicts import inv_param_dict, mod_dict, uv_param_dict
+from matplotlib import rc, use
 
-from matplotlib import rc
+# import arviz as az
+from sigfig import round
 
 rc("font", **{"family": "sans-serif", "sans-serif": ["Helvetica"], "size": 22})
 rc("text", usetex=True)
diff --git a/smefit_uv/latex_dicts.py b/smefit_uv/latex_dicts.py
index 96a5c9de..764e286b 100644
--- a/smefit_uv/latex_dicts.py
+++ b/smefit_uv/latex_dicts.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 mod_dict = {
     2: r"$\mathcal{S}$",
     3: r"$\mathcal{S}_1$",
diff --git a/src/smefit/chi2.py b/src/smefit/chi2.py
index 24ebc859..19da7cd9 100644
--- a/src/smefit/chi2.py
+++ b/src/smefit/chi2.py
@@ -2,11 +2,11 @@
 """Module for the computation of chi-squared values."""
 import json
 
+import jax.numpy as jnp
 import matplotlib.pyplot as plt
 import numpy as np
 import scipy.optimize as opt
 from rich.progress import track
-import jax.numpy as jnp
 
 from . import compute_theory as pr
 from .coefficients import CoefficientManager
diff --git a/src/smefit/compute_theory.py b/src/smefit/compute_theory.py
index d1888e7a..d4c00abe 100644
--- a/src/smefit/compute_theory.py
+++ b/src/smefit/compute_theory.py
@@ -3,8 +3,8 @@
 """
 Module for the generation of theory predictions
 """
-import numpy as np
 import jax.numpy as jnp
+import numpy as np
 
 
 def flatten(quad_mat, axis=0):
diff --git a/tests/fake_data/data_test4.yaml b/tests/fake_data/data_test4.yaml
index fe542b08..5a16ed9b 100644
--- a/tests/fake_data/data_test4.yaml
+++ b/tests/fake_data/data_test4.yaml
@@ -21,4 +21,4 @@ sys_names:
 - SPECIAL
 sys_type:
 - ADD
-- MULT
\ No newline at end of file
+- MULT
diff --git a/theory/STXS_2020_public_final.json b/theory/STXS_2020_public_final.json
index 0fa95a7e..dc05424a 100644
--- a/theory/STXS_2020_public_final.json
+++ b/theory/STXS_2020_public_final.json
@@ -16768,4 +16768,4 @@
             1.0
         ]
     }
-}
\ No newline at end of file
+}

From d27fe467da56141a5098637fdb2f4fbdd586eb9b Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Tue, 5 Nov 2024 14:58:33 +0000
Subject: [PATCH 17/47] modifying version pre-commit

---
 .pre-commit-config.yaml | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index b2fc35d3..c7dc6731 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -2,7 +2,7 @@
 # See https://pre-commit.com/hooks.html for more hooks
 repos:
   - repo: https://github.com/pre-commit/pre-commit-hooks
-    rev: v4.3.0
+    rev: v4.0.1
     hooks:
       - id: trailing-whitespace
       - id: end-of-file-fixer

From eec9e7999950ee2b7cd335537b439ee041e4bff7 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Tue, 5 Nov 2024 15:24:04 +0000
Subject: [PATCH 18/47] reformatting

---
 benchmarks/closure_tests/closure_test.py |  1 -
 runcards/uv_models/write_runcards.py     |  3 +--
 smefit_uv/fcc_bounds.py                  | 21 +++++----------------
 smefit_uv/histogram_tools.py             |  1 -
 smefit_uv/spider_uv.py                   |  7 -------
 src/smefit/analyze/chi2_utils.py         |  2 --
 src/smefit/analyze/coefficients_utils.py |  1 -
 src/smefit/analyze/fisher.py             |  1 -
 src/smefit/analyze/html_utils.py         |  2 +-
 src/smefit/analyze/latex_tools.py        |  1 -
 src/smefit/analyze/pca.py                |  2 --
 src/smefit/analyze/report.py             |  1 -
 src/smefit/analyze/spider.py             |  2 --
 src/smefit/analyze/summary.py            |  1 -
 src/smefit/basis_rotation.py             |  2 +-
 src/smefit/chi2.py                       |  1 -
 src/smefit/coefficients.py               |  3 ---
 src/smefit/compute_theory.py             |  1 -
 src/smefit/covmat.py                     |  2 --
 src/smefit/fit_manager.py                |  1 -
 src/smefit/loader.py                     |  1 -
 src/smefit/optimize/__init__.py          |  1 -
 src/smefit/optimize/analytic.py          |  4 +---
 src/smefit/optimize/mc.py                |  1 -
 src/smefit/postfit/__init__.py           |  4 ----
 src/smefit/projections/__init__.py       |  4 ----
 src/smefit/runner.py                     |  1 -
 tests/test_chi2_utils.py                 |  2 --
 tests/test_coefficients.py               |  6 ------
 tests/test_compute_theory.py             |  1 -
 tests/test_fisher.py                     |  1 -
 tests/test_loader.py                     |  1 -
 tests/test_pca.py                        |  3 ---
 tests/test_runner.py                     |  1 -
 34 files changed, 9 insertions(+), 78 deletions(-)

diff --git a/benchmarks/closure_tests/closure_test.py b/benchmarks/closure_tests/closure_test.py
index e06f1751..cf328a46 100644
--- a/benchmarks/closure_tests/closure_test.py
+++ b/benchmarks/closure_tests/closure_test.py
@@ -11,7 +11,6 @@
 # run fits repeatedly on different pseudo datasets
 n_exp = 1
 for i in range(n_exp):
-
     # run projection module
     subprocess.run(["smefit", "PROJ", "--closure", projection_runcard])
 
diff --git a/runcards/uv_models/write_runcards.py b/runcards/uv_models/write_runcards.py
index 81aba699..a580cda9 100644
--- a/runcards/uv_models/write_runcards.py
+++ b/runcards/uv_models/write_runcards.py
@@ -79,7 +79,7 @@ def dump_runcard(
     else:
         file_path = f"UV_scan/{collection}/out_UV_dict_Coll_{collection}_Mod_{idx_model}_Mass_{mass}_Tree.yaml"
 
-    with open(here / file_path, "r", encoding="utf-8") as f:
+    with open(here / file_path, encoding="utf-8") as f:
         model_dict = yaml.safe_load(f)
 
     runcard = load_base(collider)
@@ -108,7 +108,6 @@ def dump_runcard(
 
 
 if __name__ == "__main__":
-
     parser = argparse.ArgumentParser(
         prog="SMEFiT_runcards",
         description="Write SMEFIT runcards for WC/UV models",
diff --git a/smefit_uv/fcc_bounds.py b/smefit_uv/fcc_bounds.py
index 760ebe92..c57a4218 100644
--- a/smefit_uv/fcc_bounds.py
+++ b/smefit_uv/fcc_bounds.py
@@ -73,7 +73,6 @@ def nested_dict(num_levels):
 
 
 def compute_bounds(collection, mod_nrs, label, caption):
-
     table = "\\begin{table}\n"
     table += "\\begin{center}\n"
     table += "\\scriptsize\n"
@@ -100,7 +99,6 @@ def compute_bounds(collection, mod_nrs, label, caption):
                 )
 
                 if posterior_path_mod.exists():
-
                     # Open the JSON file and load its contents
                     with open(posterior_path_mod) as f:
                         posterior = json.load(f)
@@ -119,7 +117,7 @@ def compute_bounds(collection, mod_nrs, label, caption):
                                 )
                                 if "e" in up_str:
                                     base, exp = up_str.split("e")
-                                    up_str = "{}$\\mathrm{{e}}{{{}}}$".format(base, exp)
+                                    up_str = f"{base}$\\mathrm{{e}}{{{exp}}}$"
                                 table_dict[mod_nr][key][pQCD][EFT] = up_str
 
                             else:
@@ -143,7 +141,7 @@ def compute_bounds(collection, mod_nrs, label, caption):
                                     )
                                 if "e" in up_str:
                                     base, exp = up_str.split("e")
-                                    up_str = "{}$\\mathrm{{e}}{{{}}}$".format(base, exp)
+                                    up_str = f"{base}$\\mathrm{{e}}{{{exp}}}$"
                                 table_dict[mod_nr][key][pQCD][EFT] = "[{}, {}]".format(
                                     low_str, up_str
                                 )
@@ -159,7 +157,6 @@ def compute_bounds(collection, mod_nrs, label, caption):
         if n_invariants:
             n_params += max(n_invariants)
         for parameter, param_dict in table_dict[mod_nr].items():
-
             LO_NHO = param_dict["LO"]["NHO"]
             LO_HO = param_dict["LO"]["HO"]
             NLO_NHO = param_dict["NLO"]["NHO"]
@@ -212,7 +209,6 @@ def compute_bounds(collection, mod_nrs, label, caption):
 
 
 def plot_uv_posterior_bar(n_params, collection, models, EFT=None, name=None, pQCD=None):
-
     fig, axes = plt.subplots(figsize=(18, 8 * 3), ncols=1, nrows=3)
 
     category = [
@@ -222,7 +218,6 @@ def plot_uv_posterior_bar(n_params, collection, models, EFT=None, name=None, pQC
     ]
 
     for i, mod_nrs in enumerate(models):
-
         lhc_bounds = []
         hllhc_bounds = []
         fcc_bounds = []
@@ -423,7 +418,6 @@ def plot_uv_posterior(n_params, collection, mod_nrs, EFT=None, name=None, pQCD=N
                 posterior_path.format(collection, mod_nr, "NLO", EFT)
             )
         elif EFT is None:
-
             posterior_path_mod_1 = Path(
                 posterior_path.format(collection, "lhc", mod_nr, pQCD, "NHO")
             )
@@ -537,13 +531,10 @@ def plot_uv_posterior(n_params, collection, mod_nrs, EFT=None, name=None, pQCD=N
             plt.tight_layout(rect=[0, 0.08, 1, 0.92])  # make room for the legend
         if name is not None:
             fig.savefig(
-                result_dir
-                / "{}_posteriors_LO_vs_NLO_{}_{}.pdf".format(collection, EFT, name)
+                result_dir / f"{collection}_posteriors_LO_vs_NLO_{EFT}_{name}.pdf"
             )
         else:
-            fig.savefig(
-                result_dir / "{}_posteriors_LO_vs_NLO_{}.pdf".format(collection, EFT)
-            )
+            fig.savefig(result_dir / f"{collection}_posteriors_LO_vs_NLO_{EFT}.pdf")
     elif EFT is None:
         fig.legend(
             [
@@ -564,9 +555,7 @@ def plot_uv_posterior(n_params, collection, mod_nrs, EFT=None, name=None, pQCD=N
         else:
             plt.tight_layout(rect=[0, 0.08, 1, 0.92])  # make room for the legend
 
-        fig.savefig(
-            result_dir / "{}_posteriors_lhc_vs_hlhc_{}.png".format(collection, name)
-        )
+        fig.savefig(result_dir / f"{collection}_posteriors_lhc_vs_hlhc_{name}.png")
 
 
 # plot_uv_posterior_bar(10, "Granada", vboson_mdl_nrs, name="vbosons", pQCD="NLO")
diff --git a/smefit_uv/histogram_tools.py b/smefit_uv/histogram_tools.py
index fa599609..9c51508b 100644
--- a/smefit_uv/histogram_tools.py
+++ b/smefit_uv/histogram_tools.py
@@ -8,7 +8,6 @@ def find_xrange(samples, threshold_x):
     x_high = []
 
     for sample in samples:
-
         n, bins = np.histogram(
             sample,
             bins="fd",
diff --git a/smefit_uv/spider_uv.py b/smefit_uv/spider_uv.py
index 8d53df28..27627d03 100644
--- a/smefit_uv/spider_uv.py
+++ b/smefit_uv/spider_uv.py
@@ -57,12 +57,10 @@ def transform_path_non_affine(self, path):
             return Path(self.transform(path.vertices), path.codes)
 
     class RadarAxes(PolarAxes):
-
         name = "radar"
         PolarTransform = RadarTransform
 
         def __init__(self, *args, **kwargs):
-
             super().__init__(*args, aspect="equal", **kwargs)
             # rotate plot such that the first axis is at the top
             self.set_theta_zero_location("N")
@@ -198,7 +196,6 @@ def log_transform(x, delta):
     markers = itertools.cycle(["*", "o", "P"])
 
     for i, data_fit_i in enumerate(data.T):
-
         ax.plot(theta, data_fit_i, color=colors[i], zorder=1)
         ax.scatter(
             theta, data_fit_i, marker=next(markers), s=50, color=colors[i], zorder=1
@@ -231,7 +228,6 @@ def log_transform(x, delta):
                 zorder=0,
             )
         else:
-
             axis.set_rgrids(
                 radial_lines[1:],
                 labels=radial_labels[1:],
@@ -266,7 +262,6 @@ def log_transform(x, delta):
     filled_start_angle = 0  # 12'o clock
 
     for i, (idx, angle) in enumerate(angle_sweep.items()):
-
         filled_end_angle = angle + filled_start_angle  #  End angle in degrees
 
         center = (0.5, 0.5)  # Coordinates relative to the figure
@@ -407,7 +402,6 @@ def log_transform(x, delta):
 
 
 def get_bounds(collection, mod_nrs):
-
     n_cols = 4
     n_rows = 4
     fig = plt.figure(figsize=(n_cols * 4, n_rows * 4))
@@ -419,7 +413,6 @@ def get_bounds(collection, mod_nrs):
     x_labels = []
 
     for col, mod in zip(collection, mod_nrs):
-
         posterior_path_mod_1 = pathlib.Path(
             posterior_path.format(col, "lhc", mod, "NLO", "HO")
         )
diff --git a/src/smefit/analyze/chi2_utils.py b/src/smefit/analyze/chi2_utils.py
index b4e12f43..d31ab55d 100644
--- a/src/smefit/analyze/chi2_utils.py
+++ b/src/smefit/analyze/chi2_utils.py
@@ -21,7 +21,6 @@ class Chi2tableCalculator:
     """
 
     def __init__(self, data_info):
-
         self.data_info = data_info
         self.chi2_df_sm = pd.DataFrame()
         self.chi2_df_sm_grouped = pd.DataFrame()
@@ -65,7 +64,6 @@ def compute(datasets, smeft_predictions):
         # Compute per experiment
         cnt = 0
         for ndat_exp in datasets.NdataExp:
-
             chi2.append(
                 np.dot(
                     diff[cnt : cnt + ndat_exp],
diff --git a/src/smefit/analyze/coefficients_utils.py b/src/smefit/analyze/coefficients_utils.py
index 71ec69ba..fbedabd0 100644
--- a/src/smefit/analyze/coefficients_utils.py
+++ b/src/smefit/analyze/coefficients_utils.py
@@ -567,7 +567,6 @@ def log_transform(x, delta_shift):
         filled_start_angle = 90 - 180 / len(self.coeff_info)
 
         for i, op_type in enumerate(class_order):
-
             filled_end_angle = (
                 angle_sweep[i] * 360 + filled_start_angle
             )  # End angle in degrees
diff --git a/src/smefit/analyze/fisher.py b/src/smefit/analyze/fisher.py
index 001d836c..098d4c36 100644
--- a/src/smefit/analyze/fisher.py
+++ b/src/smefit/analyze/fisher.py
@@ -28,7 +28,6 @@ class FisherCalculator:
     """
 
     def __init__(self, coefficients, datasets, compute_quad):
-
         self.coefficients = coefficients
         self.free_parameters = self.coefficients.free_parameters.index
         self.datasets = datasets
diff --git a/src/smefit/analyze/html_utils.py b/src/smefit/analyze/html_utils.py
index e69241f3..7dcd7c82 100644
--- a/src/smefit/analyze/html_utils.py
+++ b/src/smefit/analyze/html_utils.py
@@ -130,7 +130,7 @@ def dump_html_index(html_report, html_index, report_path, report_title):
     index_html = current_path.parent.joinpath("assets/index.html")
     index_css = current_path.parent.joinpath("assets/index.css")
     shutil.copyfile(index_css, report_path.joinpath("index.css"))
-    with open(index_html, "r", encoding="utf-8") as f:
+    with open(index_html, encoding="utf-8") as f:
         text = f.read()
 
     text = text.replace(
diff --git a/src/smefit/analyze/latex_tools.py b/src/smefit/analyze/latex_tools.py
index f24d05c8..4b9e9c42 100644
--- a/src/smefit/analyze/latex_tools.py
+++ b/src/smefit/analyze/latex_tools.py
@@ -6,7 +6,6 @@
 
 
 def latex_packages():
-
     L = [
         r"\documentclass{article}",
         r"\usepackage{float}",
diff --git a/src/smefit/analyze/pca.py b/src/smefit/analyze/pca.py
index 9ee05f66..bda167c1 100644
--- a/src/smefit/analyze/pca.py
+++ b/src/smefit/analyze/pca.py
@@ -30,7 +30,6 @@ class RotateToPca:
     """
 
     def __init__(self, loaded_datasets, coefficients, config):
-
         self.loaded_datasets = loaded_datasets
         self.coefficients = coefficients
         self.config = config
@@ -239,7 +238,6 @@ class PcaCalculator:
     """
 
     def __init__(self, datasets, coefficients, latex_names):
-
         self.coefficients = coefficients
         self.datasets = datasets
         self.latex_names = latex_names
diff --git a/src/smefit/analyze/report.py b/src/smefit/analyze/report.py
index 2e1e51b5..0abe626c 100644
--- a/src/smefit/analyze/report.py
+++ b/src/smefit/analyze/report.py
@@ -292,7 +292,6 @@ def coefficients(
                 # if dbl solution requested, add the confidence intervals, otherwise just
                 # use the sum of the hdi intervals
                 if 1 in dbl_solution:
-
                     dbl_op = double_solution.get(fit.name, None)
                     idx = [
                         np.argwhere(
diff --git a/src/smefit/analyze/spider.py b/src/smefit/analyze/spider.py
index 6f7f5b04..e60589b1 100644
--- a/src/smefit/analyze/spider.py
+++ b/src/smefit/analyze/spider.py
@@ -37,12 +37,10 @@ def transform_path_non_affine(self, path):
             return Path(self.transform(path.vertices), path.codes)
 
     class RadarAxes(PolarAxes):
-
         name = "radar"
         PolarTransform = RadarTransform
 
         def __init__(self, *args, **kwargs):
-
             super().__init__(*args, aspect="equal", **kwargs)
             # rotate plot such that the first axis is at the top
             self.set_theta_zero_location("N")
diff --git a/src/smefit/analyze/summary.py b/src/smefit/analyze/summary.py
index 0565f229..6ddefcd0 100644
--- a/src/smefit/analyze/summary.py
+++ b/src/smefit/analyze/summary.py
@@ -50,7 +50,6 @@ class SummaryWriter:
     """
 
     def __init__(self, fits, data_groups, coeff_config):
-
         self.fits = fits
         self.data_info = data_groups
         self.coeff_info = coeff_config
diff --git a/src/smefit/basis_rotation.py b/src/smefit/basis_rotation.py
index f9a7c90e..fbc9eef0 100644
--- a/src/smefit/basis_rotation.py
+++ b/src/smefit/basis_rotation.py
@@ -32,7 +32,7 @@ def rotate_to_fit_basis(lin_dict, quad_dict, rotation_matrix_path):
             theory dictionary with quadratic operator corrections in the fit
             basis, emptry if quadratic corrections are not used
     """
-    with open(rotation_matrix_path, "r", encoding="utf-8") as f:
+    with open(rotation_matrix_path, encoding="utf-8") as f:
         rot = json.load(f)
     rotation_matrix = pd.DataFrame(
         data=rot["matrix"], index=rot["ypars"], columns=rot["xpars"]
diff --git a/src/smefit/chi2.py b/src/smefit/chi2.py
index 19da7cd9..2ca1d23f 100644
--- a/src/smefit/chi2.py
+++ b/src/smefit/chi2.py
@@ -71,7 +71,6 @@ class Scanner:
     """
 
     def __init__(self, run_card, n_replica):
-
         self.n_replica = n_replica
         self.use_quad = run_card["use_quad"]
         self.result_path = f"{run_card['result_path']}/{run_card['result_ID']}"
diff --git a/src/smefit/coefficients.py b/src/smefit/coefficients.py
index ff7fe265..69bcc358 100644
--- a/src/smefit/coefficients.py
+++ b/src/smefit/coefficients.py
@@ -1,5 +1,4 @@
 # -*- coding: utf-8 -*-
-
 import numpy as np
 import pandas as pd
 
@@ -226,7 +225,6 @@ def set_constraints(self):
 
         # loop pn fixed coefficients
         for coefficient_fixed in self._objlist[np.invert(self.is_free)]:
-
             # skip coefficient fixed to a single value
             if coefficient_fixed.constrain is None:
                 continue
@@ -253,7 +251,6 @@ def update_constrain(self, inv_rotation):
                 rotation matrix from the original basis to the new_basis
         """
         for coefficient_fixed in self._objlist[~self.is_free]:
-
             # skip coefficient fixed to a single value
             if coefficient_fixed.constrain is None:
                 continue
diff --git a/src/smefit/compute_theory.py b/src/smefit/compute_theory.py
index d4c00abe..f053f860 100644
--- a/src/smefit/compute_theory.py
+++ b/src/smefit/compute_theory.py
@@ -1,5 +1,4 @@
 # -*- coding: utf-8 -*-
-
 """
 Module for the generation of theory predictions
 """
diff --git a/src/smefit/covmat.py b/src/smefit/covmat.py
index 67acae56..09453174 100644
--- a/src/smefit/covmat.py
+++ b/src/smefit/covmat.py
@@ -1,5 +1,4 @@
 # -*- coding: utf-8 -*-
-
 """
 Module containing computation of covariance matrix.
 Based on
@@ -83,7 +82,6 @@ def covmat_from_systematics(stat_errors: list, sys_errors: list):
     block_diags = []
 
     for dataset_stat_errors, dataset_sys_errors in zip(stat_errors, sys_errors):
-
         # separate out the special uncertainties which can be correlated across
         # datasets
         is_intra_dataset_error = dataset_sys_errors.columns.isin(INTRA_DATASET_SYS_NAME)
diff --git a/src/smefit/fit_manager.py b/src/smefit/fit_manager.py
index e74c7cd8..7bae8020 100644
--- a/src/smefit/fit_manager.py
+++ b/src/smefit/fit_manager.py
@@ -77,7 +77,6 @@ def load_results(self):
         # then each distribution might have a different number of samples
         is_single_param = results.get("single_parameter_fits", False)
         if is_single_param:
-
             del results["single_parameter_fits"]
 
             num_samples = []
diff --git a/src/smefit/loader.py b/src/smefit/loader.py
index 29bab79b..cdd06c0d 100644
--- a/src/smefit/loader.py
+++ b/src/smefit/loader.py
@@ -1,5 +1,4 @@
 # -*- coding: utf-8 -*-
-
 import json
 import pathlib
 from collections import namedtuple
diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index f2d6c70b..3655f572 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -87,7 +87,6 @@ def load_external_chi2(self, external_chi2):
         ext_chi2_modules = []
 
         for class_name, module_path in external_chi2.items():
-
             path = pathlib.Path(module_path)
             base_path, stem = path.parent, path.stem
             chi2_module = importlib.import_module(stem)
diff --git a/src/smefit/optimize/analytic.py b/src/smefit/optimize/analytic.py
index 854d0c9a..a5f7c374 100644
--- a/src/smefit/optimize/analytic.py
+++ b/src/smefit/optimize/analytic.py
@@ -149,7 +149,6 @@ def run_sampling(self):
 
         # generate samples in case n_samples > 0
         if self.n_samples > 0:
-
             self.log_result(coeff_best, coeff_covmat)
 
             # sample
@@ -159,7 +158,6 @@ def run_sampling(self):
             )
             self.save(samples)
         else:  # record only chi2 if no samples are requested
-
             self.coefficients.set_free_parameters(coeff_best)
             self.coefficients.set_constraints()
 
@@ -172,7 +170,7 @@ def run_sampling(self):
             chi2_red = chi2_tot / self.loaded_datasets.Commondata.size
 
             with open(self.results_path / "chi2.dat", "a") as f:
-                f.write("{} \n".format(chi2_red))
+                f.write(f"{chi2_red} \n")
 
     def save(self, samples):
         """Save samples to json inside a dictionary: {coff: [replicas values]}.
diff --git a/src/smefit/optimize/mc.py b/src/smefit/optimize/mc.py
index c4ebea24..ef85221c 100644
--- a/src/smefit/optimize/mc.py
+++ b/src/smefit/optimize/mc.py
@@ -183,7 +183,6 @@ def from_dict(cls, config):
         )
 
     def get_status(self, chi2):
-
         if len(self.chi2_values) == 0:
             self.chi2_values.append(chi2)
 
diff --git a/src/smefit/postfit/__init__.py b/src/smefit/postfit/__init__.py
index ebcbf4eb..269636b0 100644
--- a/src/smefit/postfit/__init__.py
+++ b/src/smefit/postfit/__init__.py
@@ -13,7 +13,6 @@
 
 class Postfit:
     def __init__(self, result_path, single_parameter_fits, chi2_threshold):
-
         self.results_folder = result_path
         self.finished_replicas = 0
         for name in self.results_folder.iterdir():
@@ -26,7 +25,6 @@ def __init__(self, result_path, single_parameter_fits, chi2_threshold):
 
     @classmethod
     def from_file(cls, result_folder):
-
         # load file
         with open(result_folder / f"{result_folder.stem}.yaml", encoding="utf-8") as f:
             config = yaml.safe_load(f)
@@ -45,7 +43,6 @@ def from_file(cls, result_folder):
         )
 
     def save(self, nrep):
-
         postfit_res = []
         chi2_list = []
         coeffs = None  # Initialize coeffs to None
@@ -88,7 +85,6 @@ def save(self, nrep):
             self.not_completed = True
 
         else:
-
             posterior = {}
             for i, c in enumerate(coeffs):
                 posterior[c] = list(np.array(postfit_res).T[i, :])
diff --git a/src/smefit/projections/__init__.py b/src/smefit/projections/__init__.py
index ddac8a72..0e10c9f1 100644
--- a/src/smefit/projections/__init__.py
+++ b/src/smefit/projections/__init__.py
@@ -30,7 +30,6 @@ def __init__(
         fred_sys,
         use_t0,
     ):
-
         self.commondata_path = commondata_path
         self.theory_path = theory_path
         self.dataset_names = dataset_names
@@ -153,7 +152,6 @@ def rescale_sys(self, sys, fred_sys):
         is_artificial = is_square & np.any(sys < 0)
 
         if is_artificial:
-
             # reconstruct covmat and keep only diagonal components
             cov_tot = sys @ sys.T
             sys_diag = np.sqrt(np.diagonal(cov_tot))
@@ -204,7 +202,6 @@ def build_projection(self, lumi_new, closure):
 
         cnt = 0
         for dataset_idx, num_data in enumerate(self.datasets.NdataExp):
-
             dataset_name = self.datasets.ExpNames[dataset_idx]
             path_to_dataset = self.commondata_path / f"{dataset_name}.yaml"
 
@@ -296,7 +293,6 @@ def build_projection(self, lumi_new, closure):
                 # build covmat for projections. Use rescaled uncertainties
                 newcov = covmat_from_systematics([stat_red], [sys_red])
             else:  # closure test
-
                 # we store absolute uncertainties and convert all multipicative uncertainties to additive ones
 
                 if num_data > 1:
diff --git a/src/smefit/runner.py b/src/smefit/runner.py
index 0854ddc4..18a67fb4 100644
--- a/src/smefit/runner.py
+++ b/src/smefit/runner.py
@@ -145,7 +145,6 @@ def ultranest(self, config):
                 sys.path = [str(base_path)] + sys.path
 
         if run_parallel:
-
             comm = MPI.COMM_WORLD
             rank = comm.Get_rank()
             if rank == 0:
diff --git a/tests/test_chi2_utils.py b/tests/test_chi2_utils.py
index 4a41444a..83d8e7f7 100644
--- a/tests/test_chi2_utils.py
+++ b/tests/test_chi2_utils.py
@@ -13,7 +13,6 @@
 
 
 class mock_FitManager:
-
     # fake a posterior
     max_val = 10
     min_val = -10
@@ -54,7 +53,6 @@ def test_predictions_rep(self):
 
 
 class Test_Chi2tableCalculator(mock_FitManager):
-
     chi2_cal = chi2_utils.Chi2tableCalculator(None)
 
     def test_chi2(self):
diff --git a/tests/test_coefficients.py b/tests/test_coefficients.py
index 64915fcc..4f75104d 100644
--- a/tests/test_coefficients.py
+++ b/tests/test_coefficients.py
@@ -58,7 +58,6 @@
 
 
 class TestCoefficient:
-
     name = "c_a"
     minimum = -1
     maximum = 1
@@ -66,14 +65,12 @@ class TestCoefficient:
     constrain_test = {"c_b": np.array([-0.1, 1])}
 
     def test_init(self):
-
         assert self.c_test.name == self.name
         assert self.c_test.minimum == self.minimum
         assert self.c_test.maximum == self.maximum
         assert self.c_test.value <= self.maximum and self.c_test.value >= self.minimum
 
     def test_build_additive_factor_dict(self):
-
         np.testing.assert_equal(
             self.constrain_test,
             coefficients.Coefficient.build_additive_factor_dict(
@@ -105,16 +102,13 @@ def test_repr(self):
 
 
 class TestCoefficientManager:
-
     c_list = coefficients.CoefficientManager.from_dict(coeff_dict)
 
     def test_init(self):
-
         assert self.c_list[0].name == "c_a"
         np.testing.assert_equal(self.c_list.minimum, [-2, -1, -2, -3, -4, -5, -5])
 
     def test_free_parameters(self):
-
         c_list_free = coefficients.CoefficientManager.from_dict(coeff_dict_free)
         np.testing.assert_equal(self.c_list.free_parameters.index, c_list_free.name)
 
diff --git a/tests/test_compute_theory.py b/tests/test_compute_theory.py
index 8a8571b8..656a3439 100644
--- a/tests/test_compute_theory.py
+++ b/tests/test_compute_theory.py
@@ -58,7 +58,6 @@ class TestPredictions:
     wilson_coeff = np.array([0.5, 0.6])
 
     def test_make_predictions(self):
-
         lin_corr = [
             # data0
             self.sm_theory[0]
diff --git a/tests/test_fisher.py b/tests/test_fisher.py
index 69285b4d..dded1795 100644
--- a/tests/test_fisher.py
+++ b/tests/test_fisher.py
@@ -125,7 +125,6 @@ def fisher_info(coeff1, coeff2):
                 rtol=0.01,
             )
         else:
-
             # create a fake posterior
             post_df = pd.DataFrame(np.array([xs, ys]).T, columns=["Op1", "Op2"])
             post_df["Op3"] = c13 * post_df.Op1 + c23 * post_df.Op2
diff --git a/tests/test_loader.py b/tests/test_loader.py
index e3a63010..0e3c9149 100644
--- a/tests/test_loader.py
+++ b/tests/test_loader.py
@@ -120,7 +120,6 @@ def test_load_datasets():
             np.testing.assert_equal(loaded_tuple.LinearCorrections, lin_corr)
 
             if use_quad:
-
                 # construct expected quad corr tables
                 quad_corr_1 = np.asarray(
                     [
diff --git a/tests/test_pca.py b/tests/test_pca.py
index 5ef096d2..af973708 100644
--- a/tests/test_pca.py
+++ b/tests/test_pca.py
@@ -55,7 +55,6 @@
 
 
 def test_make_sym_matrix():
-
     vals = np.array([[1, 2, 3, 4, 5, 6], [7, 8, 9, 10, 11, 12]])
     mat = pca.make_sym_matrix(vals, 3)
     np.testing.assert_equal(mat[:, :, 0], mat[:, :, 0].T)
@@ -71,7 +70,6 @@ def test_make_sym_matrix():
 
 
 def test_impose_constrain():
-
     updated_lincorr, updated_quadcorr = pca.impose_constrain(
         dataset, coefficients, update_quad=True
     )
@@ -125,7 +123,6 @@ def test_pca_eig():
 
 
 class TestRotateToPca:
-
     fake_result_path = here / "fake_results" / "test_fit"
     fake_result_path.mkdir(exist_ok=True)
     rot_to_pca = pca.RotateToPca(
diff --git a/tests/test_runner.py b/tests/test_runner.py
index 0bf05a2a..46d99ace 100644
--- a/tests/test_runner.py
+++ b/tests/test_runner.py
@@ -8,7 +8,6 @@
 
 
 class TestRunner:
-
     test_runner = smefit.runner.Runner.from_file(runcard_folder / "fake_runcard.yaml")
 
     def test_init(self):

From ac1c28f0d67a4efd21bf9a764e48e71b056b6af8 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Tue, 5 Nov 2024 16:42:21 +0100
Subject: [PATCH 19/47] fixed fcc_bounds

---
 smefit_uv/fcc_bounds.py | 10 +++++-----
 1 file changed, 5 insertions(+), 5 deletions(-)

diff --git a/smefit_uv/fcc_bounds.py b/smefit_uv/fcc_bounds.py
index c57a4218..ee4c5f0a 100644
--- a/smefit_uv/fcc_bounds.py
+++ b/smefit_uv/fcc_bounds.py
@@ -513,8 +513,8 @@ def plot_uv_posterior(n_params, collection, mod_nrs, EFT=None, name=None, pQCD=N
         order_EFT = -2 if EFT == "NHO" else -4
         fig.legend(
             [
-                f"$\mathrm{{LO}}\;\mathcal{{O}}\\left(\Lambda^{{{order_EFT}}}\\right)$",
-                f"$\mathrm{{NLO}}\;\mathcal{{O}}\\left(\Lambda^{{{order_EFT}}}\\right)$",
+                f"$\\mathrm{{LO}}\\;\\mathcal{{O}}\\left(\\Lambda^{{{order_EFT}}}\\right)$",
+                f"$\\mathrm{{NLO}}\\;\\mathcal{{O}}\\left(\\Lambda^{{{order_EFT}}}\\right)$",
             ],
             loc="upper center",
             ncol=2,
@@ -538,9 +538,9 @@ def plot_uv_posterior(n_params, collection, mod_nrs, EFT=None, name=None, pQCD=N
     elif EFT is None:
         fig.legend(
             [
-                f"$\mathrm{{LHC}}\;\mathcal{{O}}\\left(\Lambda^{{-2}}\\right)$",
-                f"$\mathrm{{HL-LHC}}\;\mathcal{{O}}\\left(\Lambda^{{-2}}\\right)$",
-                f"$\mathrm{{FCCee}}\;\mathcal{{O}}\\left(\Lambda^{{-2}}\\right)$",
+                f"$\\mathrm{{LHC}}\\;\\mathcal{{O}}\\left(\\Lambda^{{-2}}\\right)$",
+                f"$\\mathrm{{HL-LHC}}\\;\\mathcal{{O}}\\left(\\Lambda^{{-2}}\\right)$",
+                f"$\\mathrm{{FCCee}}\\;\\mathcal{{O}}\\left(\\Lambda^{{-2}}\\right)$",
             ],
             ncol=3,
             prop={"size": 25 * (n_cols * 4) / 20},

From 475b72cac7b446e47477f521488ac72aa57f4cb1 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Tue, 5 Nov 2024 17:07:00 +0100
Subject: [PATCH 20/47] Run pre-commit

---
 src/smefit/optimize/ultranest.py | 1 +
 src/smefit/rge.py                | 3 ++-
 src/smefit/wcxf.py               | 1 +
 3 files changed, 4 insertions(+), 1 deletion(-)

diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 25b7b1a3..3401d26f 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -9,6 +9,7 @@
 from rich.style import Style
 from rich.table import Table
 from ultranest import stepsampler
+
 from smefit.rge import load_rge_matrix
 
 from .. import chi2, log
diff --git a/src/smefit/rge.py b/src/smefit/rge.py
index c05d86a1..5095cdf2 100644
--- a/src/smefit/rge.py
+++ b/src/smefit/rge.py
@@ -1,15 +1,16 @@
+# -*- coding: utf-8 -*-
 import pathlib
 import warnings
 from copy import deepcopy
 from functools import partial
 
 import ckmutil.ckm
-
 import jax.numpy as jnp
 import numpy as np
 import pandas as pd
 import wilson
 from numpy import ComplexWarning
+
 from smefit import log
 from smefit.loader import Loader
 from smefit.wcxf import inverse_wcxf_translate, wcxf_translate
diff --git a/src/smefit/wcxf.py b/src/smefit/wcxf.py
index 7be47a79..b2736f16 100644
--- a/src/smefit/wcxf.py
+++ b/src/smefit/wcxf.py
@@ -1,3 +1,4 @@
+# -*- coding: utf-8 -*-
 # Dictionary translating from the smefit basis to the Warsaw basis in the WCxf
 import numpy as np
 

From dc8c0762fcdf65fc65775087e6f50e9141fd18ac Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Fri, 8 Nov 2024 10:31:03 +0100
Subject: [PATCH 21/47] Allow for variable number of fits in 2D plots

---
 src/smefit/analyze/coefficients_utils.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/smefit/analyze/coefficients_utils.py b/src/smefit/analyze/coefficients_utils.py
index fbedabd0..b46ade20 100644
--- a/src/smefit/analyze/coefficients_utils.py
+++ b/src/smefit/analyze/coefficients_utils.py
@@ -743,7 +743,7 @@ def plot_contours_2d(
         """
 
         if double_solution is None:
-            double_solution = {"fit1": [], "fit2": []}
+            double_solution = {f"fit{i+1}": [] for i in range(len(posteriors))}
 
         if dofs_show is not None:
             posteriors = [

From 0e333631b8c5ca68b6e37ecf4e4179bd5f15257f Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Fri, 8 Nov 2024 11:48:27 +0100
Subject: [PATCH 22/47] Modified ultranest log directory and added plots

---
 src/smefit/optimize/ultranest.py | 7 ++++++-
 1 file changed, 6 insertions(+), 1 deletion(-)

diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 28ea2c30..1bbcefab 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -332,7 +332,7 @@ def run_sampling(self):
 
         log_dir = None
         if self.store_raw:
-            log_dir = self.results_path
+            log_dir = self.results_path / "ultranest_log"
 
         if self.vectorized:
             loglikelihood = jax.vmap(self.gaussian_loglikelihood)
@@ -386,6 +386,11 @@ def run_sampling(self):
                 table.add_row(f"{par}", f"{col.mean():.3f}", f"{col.std():.3f}")
             log.console.print(table)
 
+            if self.store_raw:
+                _logger.info(f"Ultranest plots being produced...")
+                sampler.plot()
+                _logger.info(f"Ultranest plots produced in {log_dir}")
+
             self.save(result)
 
     def save(self, result):

From d29ebb914d2f9bfbce89004a811a60130d9bf5c0 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Fri, 8 Nov 2024 22:38:58 +0100
Subject: [PATCH 23/47] moved plotting

---
 src/smefit/optimize/ultranest.py | 10 +++++-----
 1 file changed, 5 insertions(+), 5 deletions(-)

diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 1bbcefab..35a6a048 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -376,6 +376,11 @@ def run_sampling(self):
             log.console.log(f"Time : {((t2 - t1) / 60.0):.3f} minutes")
             log.console.log(f"Number of samples: {result['samples'].shape[0]}")
 
+            if self.store_raw:
+                _logger.info(f"Ultranest plots being produced...")
+                sampler.plot()
+                _logger.info(f"Ultranest plots produced in {log_dir}")
+
             table = Table(
                 style=Style(color="white"), title_style="bold cyan", title=None
             )
@@ -386,11 +391,6 @@ def run_sampling(self):
                 table.add_row(f"{par}", f"{col.mean():.3f}", f"{col.std():.3f}")
             log.console.print(table)
 
-            if self.store_raw:
-                _logger.info(f"Ultranest plots being produced...")
-                sampler.plot()
-                _logger.info(f"Ultranest plots produced in {log_dir}")
-
             self.save(result)
 
     def save(self, result):

From 383313800574d7c1d4c553a4546f4045d2db1177 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Fri, 8 Nov 2024 23:12:30 +0100
Subject: [PATCH 24/47] run isort

---
 src/smefit/optimize/ultranest.py | 18 ++++++++++++++++++
 1 file changed, 18 insertions(+)

diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 35a6a048..93f8c0c0 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -1,5 +1,6 @@
 # -*- coding: utf-8 -*-
 """Fitting the Wilson coefficients with |NS|"""
+import json
 import time
 from functools import partial
 
@@ -381,6 +382,23 @@ def run_sampling(self):
                 sampler.plot()
                 _logger.info(f"Ultranest plots produced in {log_dir}")
 
+            _logger.info("Writing bayes results...")
+            logz = result["logz"]
+            max_loglikelihood = result["maximum_likelihood"]["logl"]
+            best_fit_point = dict(
+                zip(self.free_parameters.index, result["maximum_likelihood"]["point"])
+            )
+
+            bayes_result = {
+                "logz": logz,
+                "max_loglikelihood": max_loglikelihood,
+                "best_fit_point": best_fit_point,
+            }
+
+            # write json with results
+            with open(self.results_path / "bayes_result.json", "w") as f:
+                json.dump(bayes_result, f, indent=4)
+
             table = Table(
                 style=Style(color="white"), title_style="bold cyan", title=None
             )

From 1011226a8db019129e9d79d6e4eb8c549624b05e Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Sat, 9 Nov 2024 01:04:11 +0100
Subject: [PATCH 25/47] Added best_fit to chi2 calculation

---
 src/smefit/analyze/chi2_utils.py |  5 ++++-
 src/smefit/analyze/report.py     | 12 +++++++++---
 src/smefit/fit_manager.py        | 32 ++++++++++++++++++++++++++++++++
 3 files changed, 45 insertions(+), 4 deletions(-)

diff --git a/src/smefit/analyze/chi2_utils.py b/src/smefit/analyze/chi2_utils.py
index d31ab55d..5699e71d 100644
--- a/src/smefit/analyze/chi2_utils.py
+++ b/src/smefit/analyze/chi2_utils.py
@@ -91,6 +91,9 @@ def compute(datasets, smeft_predictions):
             )
             cnt += ndat_exp
 
+        # compute chi2 for the whole dataset
+        total_chi2_rep = np.einsum("ij,ji->i", diff_rep, covmat_diff_rep)
+
         return (
             pd.DataFrame(
                 {
@@ -101,7 +104,7 @@ def compute(datasets, smeft_predictions):
                 },
                 index=datasets.ExpNames,
             ),
-            np.sum(chi2_rep, axis=0) / datasets.Commondata.size,
+            total_chi2_rep / datasets.Commondata.size,
         )
 
     @staticmethod
diff --git a/src/smefit/analyze/report.py b/src/smefit/analyze/report.py
index 0abe626c..827472b9 100644
--- a/src/smefit/analyze/report.py
+++ b/src/smefit/analyze/report.py
@@ -153,13 +153,19 @@ def chi2(self, table=True, plot_experiment=None, plot_distribution=None):
         chi2_dict_group = {}
         chi2_replica = {}
         for fit in self.fits:
-            chi2_df, chi2_total_rep = chi2_cal.compute(
+            # This computes the chi2 by taking the mean of the replicas
+            chi2_df_mean, chi2_total_rep = chi2_cal.compute(
                 fit.datasets,
                 fit.smeft_predictions,
             )
+
+            chi2_df_best, chi2_total_best = chi2_cal.compute(
+                fit.datasets, fit.smeft_predictions_best_fit
+            )
+
             chi2_replica[fit.label] = chi2_total_rep
-            chi2_dict[fit.label] = chi2_cal.add_normalized_chi2(chi2_df)
-            chi2_dict_group[fit.label] = chi2_cal.group_chi2_df(chi2_df)
+            chi2_dict[fit.label] = chi2_cal.add_normalized_chi2(chi2_df_best)
+            chi2_dict_group[fit.label] = chi2_cal.group_chi2_df(chi2_df_best)
 
         if table:
             lines = chi2_cal.write(chi2_dict, chi2_dict_group)
diff --git a/src/smefit/fit_manager.py b/src/smefit/fit_manager.py
index 7bae8020..b7e064ac 100644
--- a/src/smefit/fit_manager.py
+++ b/src/smefit/fit_manager.py
@@ -73,6 +73,10 @@ def load_results(self):
         with open(f"{self.path}/{self.name}/{file}.json", encoding="utf-8") as f:
             results = json.load(f)
 
+        # load the bayesian results
+        with open(f"{self.path}/{self.name}/bayes_result.json", encoding="utf-8") as f:
+            bayes_result = json.load(f)
+
         # if the posterior is from single parameter fits
         # then each distribution might have a different number of samples
         is_single_param = results.get("single_parameter_fits", False)
@@ -93,6 +97,7 @@ def load_results(self):
 
         # Be sure columns are sorted, otherwise can't compute theory...
         self.results = pd.DataFrame(results).sort_index(axis=1)
+        self.bayes_result = bayes_result
 
     def load_configuration(self):
         """Load configuration yaml card.
@@ -149,6 +154,33 @@ def smeft_predictions(self):
             )
         return np.array(smeft)
 
+    @property
+    def smeft_predictions_best_fit(self):
+        """Compute |SMEFT| predictions for the best fit point.
+
+        Returns
+        -------
+        np.ndarray:
+            |SMEFT| predictions for the best fit
+        """
+
+        best_fit_point = np.array(
+            [
+                self.bayes_result["best_fit_point"][key]
+                for key in sorted(self.bayes_result["best_fit_point"].keys())
+            ]
+        )
+
+        predictions = make_predictions(
+            self.datasets,
+            best_fit_point,
+            self.config["use_quad"],
+            self.config.get("use_multiplicative_prescription", False),
+        )
+
+        # Add a dimension to match the shape of the replica predictions
+        return np.array([predictions])
+
     @property
     def coefficients(self):
         """coefficient manager"""

From 8a26cee2dc32e448e1508182d6d8729ddded1549 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Sat, 9 Nov 2024 09:16:46 +0100
Subject: [PATCH 26/47] Reshuffled code

---
 src/smefit/fit_manager.py        | 12 +++++------
 src/smefit/optimize/ultranest.py | 34 ++++++++++++++++----------------
 2 files changed, 23 insertions(+), 23 deletions(-)

diff --git a/src/smefit/fit_manager.py b/src/smefit/fit_manager.py
index b7e064ac..e78e9611 100644
--- a/src/smefit/fit_manager.py
+++ b/src/smefit/fit_manager.py
@@ -73,9 +73,9 @@ def load_results(self):
         with open(f"{self.path}/{self.name}/{file}.json", encoding="utf-8") as f:
             results = json.load(f)
 
-        # load the bayesian results
-        with open(f"{self.path}/{self.name}/bayes_result.json", encoding="utf-8") as f:
-            bayes_result = json.load(f)
+        # load the fit results
+        with open(f"{self.path}/{self.name}/fit_result.json", encoding="utf-8") as f:
+            fit_result = json.load(f)
 
         # if the posterior is from single parameter fits
         # then each distribution might have a different number of samples
@@ -97,7 +97,7 @@ def load_results(self):
 
         # Be sure columns are sorted, otherwise can't compute theory...
         self.results = pd.DataFrame(results).sort_index(axis=1)
-        self.bayes_result = bayes_result
+        self.fit_result = fit_result
 
     def load_configuration(self):
         """Load configuration yaml card.
@@ -166,8 +166,8 @@ def smeft_predictions_best_fit(self):
 
         best_fit_point = np.array(
             [
-                self.bayes_result["best_fit_point"][key]
-                for key in sorted(self.bayes_result["best_fit_point"].keys())
+                self.fit_result["best_fit_point"][key]
+                for key in sorted(self.fit_result["best_fit_point"].keys())
             ]
         )
 
diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 93f8c0c0..4877fbc9 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -382,23 +382,6 @@ def run_sampling(self):
                 sampler.plot()
                 _logger.info(f"Ultranest plots produced in {log_dir}")
 
-            _logger.info("Writing bayes results...")
-            logz = result["logz"]
-            max_loglikelihood = result["maximum_likelihood"]["logl"]
-            best_fit_point = dict(
-                zip(self.free_parameters.index, result["maximum_likelihood"]["point"])
-            )
-
-            bayes_result = {
-                "logz": logz,
-                "max_loglikelihood": max_loglikelihood,
-                "best_fit_point": best_fit_point,
-            }
-
-            # write json with results
-            with open(self.results_path / "bayes_result.json", "w") as f:
-                json.dump(bayes_result, f, indent=4)
-
             table = Table(
                 style=Style(color="white"), title_style="bold cyan", title=None
             )
@@ -440,3 +423,20 @@ def save(self, result):
             posterior_file = self.results_path / "posterior.json"
 
         self.dump_posterior(posterior_file, values)
+
+        # Writing the fit summary results
+        logz = result["logz"]
+        max_loglikelihood = result["maximum_likelihood"]["logl"]
+        best_fit_point = dict(
+            zip(self.free_parameters.index, result["maximum_likelihood"]["point"])
+        )
+
+        fit_result = {
+            "logz": logz,
+            "max_loglikelihood": max_loglikelihood,
+            "best_fit_point": best_fit_point,
+        }
+
+        # write json with results
+        with open(self.results_path / "fit_result.json", "w") as f:
+            json.dump(fit_result, f, indent=4)

From 0c7b3d80493425250d112735f08faf45d9a8e3ef Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Sat, 9 Nov 2024 09:43:20 +0100
Subject: [PATCH 27/47] Now supporting single parameter fits

---
 src/smefit/optimize/__init__.py  | 29 +++++++++++++++++++++++++++++
 src/smefit/optimize/ultranest.py |  5 ++---
 2 files changed, 31 insertions(+), 3 deletions(-)

diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index 3655f572..1ec99027 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -183,3 +183,32 @@ def dump_posterior(self, posterior_file, values):
 
         with open(posterior_file, "w", encoding="utf-8") as f:
             json.dump(values, f)
+
+    def dump_fit_result(self, fit_result_file, values):
+        if self.single_parameter_fits:
+            values["single_parameter_fits"] = True
+            if fit_result_file.is_file():
+                with open(fit_result_file, encoding="utf-8") as f:
+                    tmp = json.load(f)
+                    # Get the operator name
+                    coeff = list(values["best_fit_point"].keys())[0]
+                    # update the values
+                    tmp["logz"][coeff] = values["logz"]
+                    tmp["max_loglikelihood"][coeff] = values["max_loglikelihood"]
+                    tmp["best_fit_point"][coeff] = values["best_fit_point"][coeff]
+
+                    # update the file with the new values
+                    with open(fit_result_file, "w", encoding="utf-8") as f:
+                        json.dump(tmp, f, indent=4)
+
+            else:
+                with open(fit_result_file, "w", encoding="utf-8") as f:
+                    # Get the operator name
+                    coeff = list(values["best_fit_point"].keys())[0]
+                    values["logz"] = {coeff: values["logz"]}
+                    values["max_loglikelihood"] = {coeff: values["max_loglikelihood"]}
+                    json.dump(values, f, indent=4)
+
+        else:
+            with open(fit_result_file, "w", encoding="utf-8") as f:
+                json.dump(values, f, indent=4)
diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 4877fbc9..65fc5311 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -396,6 +396,7 @@ def run_sampling(self):
 
     def save(self, result):
         """Save |NS| replicas to json inside a dictionary: {coff: [replicas values]}.
+        Saving also some basic information about the fit.
 
         Parameters
         ----------
@@ -437,6 +438,4 @@ def save(self, result):
             "best_fit_point": best_fit_point,
         }
 
-        # write json with results
-        with open(self.results_path / "fit_result.json", "w") as f:
-            json.dump(fit_result, f, indent=4)
+        self.dump_fit_result(self.results_path / "fit_result.json", fit_result)

From a8e752636488c7519fe369e1a31e31396c58ce2e Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Sat, 9 Nov 2024 10:08:22 +0100
Subject: [PATCH 28/47] Added support for analytic fit

---
 src/smefit/optimize/analytic.py | 34 +++++++++++++++++++++++++++++++--
 1 file changed, 32 insertions(+), 2 deletions(-)

diff --git a/src/smefit/optimize/analytic.py b/src/smefit/optimize/analytic.py
index a5f7c374..d6561f80 100644
--- a/src/smefit/optimize/analytic.py
+++ b/src/smefit/optimize/analytic.py
@@ -118,6 +118,8 @@ def log_result(self, coeff_best, coeff_covmat):
     def run_sampling(self):
         """Run sapmling accordying to the analytic solution."""
 
+        fit_result = {}
+
         # update linear corrections in casde
         new_LinearCorrections = impose_constrain(
             self.loaded_datasets, self.coefficients
@@ -147,6 +149,30 @@ def run_sampling(self):
             @ diff_sm
         )
 
+        # Compute some metrics of the fit result
+        coeffs_name = sorted(self.coefficients.free_parameters.index)
+
+        fit_result["best_fit_point"] = {
+            name: val for name, val in zip(coeffs_name, coeff_best)
+        }
+
+        # compute max log likelihood
+        chi2_tot = chi2.compute_chi2(
+            self.loaded_datasets,
+            coeff_best,
+            self.use_quad,
+            self.use_multiplicative_prescription,
+        )
+        max_logl = float(-0.5 * chi2_tot)
+
+        fit_result["max_log_likelihood"] = max_logl
+
+        gaussian_integral = np.log(np.sqrt(np.linalg.det(2 * np.pi * coeff_covmat)))
+        # NOTE: current formula for logz is not inluding the prior penalty
+        logz = gaussian_integral + max_logl
+        fit_result["logz"] = logz
+        _logger.warning("The logZ computation is not including the prior penalty.")
+
         # generate samples in case n_samples > 0
         if self.n_samples > 0:
             self.log_result(coeff_best, coeff_covmat)
@@ -156,7 +182,7 @@ def run_sampling(self):
             samples = np.random.multivariate_normal(
                 coeff_best, coeff_covmat, size=(self.n_samples,)
             )
-            self.save(samples)
+            self.save(samples, fit_result)
         else:  # record only chi2 if no samples are requested
             self.coefficients.set_free_parameters(coeff_best)
             self.coefficients.set_constraints()
@@ -172,8 +198,9 @@ def run_sampling(self):
             with open(self.results_path / "chi2.dat", "a") as f:
                 f.write(f"{chi2_red} \n")
 
-    def save(self, samples):
+    def save(self, samples, fit_result):
         """Save samples to json inside a dictionary: {coff: [replicas values]}.
+        Saving also some basic information about the fit.
 
         Parameters
         ----------
@@ -195,3 +222,6 @@ def save(self, samples):
 
         posterior_file = self.results_path / "posterior.json"
         self.dump_posterior(posterior_file, values)
+
+        # save fit result
+        self.dump_fit_result(self.results_path / "fit_result.json", fit_result)

From 8cd18c2c063013992160a1756e35f159a058a006 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Mon, 11 Nov 2024 18:46:16 +0100
Subject: [PATCH 29/47] Improved code to satisfy code factor

---
 src/smefit/fit_manager.py        | 1 +
 src/smefit/optimize/analytic.py  | 4 +---
 src/smefit/optimize/ultranest.py | 3 +--
 3 files changed, 3 insertions(+), 5 deletions(-)

diff --git a/src/smefit/fit_manager.py b/src/smefit/fit_manager.py
index e78e9611..d665de2b 100644
--- a/src/smefit/fit_manager.py
+++ b/src/smefit/fit_manager.py
@@ -54,6 +54,7 @@ def __init__(self, path, name, label=None):
         self.has_posterior = self.config.get("has_posterior", True)
         self.results = None
         self.datasets = None
+        self.fit_result = None
 
     def __repr__(self):
         return self.name
diff --git a/src/smefit/optimize/analytic.py b/src/smefit/optimize/analytic.py
index d6561f80..a3df8956 100644
--- a/src/smefit/optimize/analytic.py
+++ b/src/smefit/optimize/analytic.py
@@ -152,9 +152,7 @@ def run_sampling(self):
         # Compute some metrics of the fit result
         coeffs_name = sorted(self.coefficients.free_parameters.index)
 
-        fit_result["best_fit_point"] = {
-            name: val for name, val in zip(coeffs_name, coeff_best)
-        }
+        fit_result["best_fit_point"] = dict(zip(coeffs_name, coeff_best))
 
         # compute max log likelihood
         chi2_tot = chi2.compute_chi2(
diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 65fc5311..0a98062b 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -1,6 +1,5 @@
 # -*- coding: utf-8 -*-
 """Fitting the Wilson coefficients with |NS|"""
-import json
 import time
 from functools import partial
 
@@ -378,7 +377,7 @@ def run_sampling(self):
             log.console.log(f"Number of samples: {result['samples'].shape[0]}")
 
             if self.store_raw:
-                _logger.info(f"Ultranest plots being produced...")
+                _logger.info("Ultranest plots being produced...")
                 sampler.plot()
                 _logger.info(f"Ultranest plots produced in {log_dir}")
 

From 77ef44a573df8dd92f6de9d81d74a792614f2a31 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Mon, 11 Nov 2024 18:50:00 +0100
Subject: [PATCH 30/47] Fix more

---
 src/smefit/analyze/report.py | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/src/smefit/analyze/report.py b/src/smefit/analyze/report.py
index 827472b9..6be9cf14 100644
--- a/src/smefit/analyze/report.py
+++ b/src/smefit/analyze/report.py
@@ -154,12 +154,12 @@ def chi2(self, table=True, plot_experiment=None, plot_distribution=None):
         chi2_replica = {}
         for fit in self.fits:
             # This computes the chi2 by taking the mean of the replicas
-            chi2_df_mean, chi2_total_rep = chi2_cal.compute(
+            _, chi2_total_rep = chi2_cal.compute(
                 fit.datasets,
                 fit.smeft_predictions,
             )
 
-            chi2_df_best, chi2_total_best = chi2_cal.compute(
+            chi2_df_best, _ = chi2_cal.compute(
                 fit.datasets, fit.smeft_predictions_best_fit
             )
 

From c6a17228274b5a62697b41fc15ee121fca78b92c Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Wed, 20 Nov 2024 14:21:04 +0100
Subject: [PATCH 31/47] Fixed bug when putting constraints on WC

---
 src/smefit/optimize/analytic.py | 5 ++++-
 1 file changed, 4 insertions(+), 1 deletion(-)

diff --git a/src/smefit/optimize/analytic.py b/src/smefit/optimize/analytic.py
index a3df8956..67e38e75 100644
--- a/src/smefit/optimize/analytic.py
+++ b/src/smefit/optimize/analytic.py
@@ -154,10 +154,13 @@ def run_sampling(self):
 
         fit_result["best_fit_point"] = dict(zip(coeffs_name, coeff_best))
 
+        self.coefficients.set_free_parameters(coeff_best)
+        self.coefficients.set_constraints()
+
         # compute max log likelihood
         chi2_tot = chi2.compute_chi2(
             self.loaded_datasets,
-            coeff_best,
+            self.coefficients.value,
             self.use_quad,
             self.use_multiplicative_prescription,
         )

From aa124a8717deba1dbc8b95962fd3954ede5d76b4 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Thu, 21 Nov 2024 10:33:08 +0100
Subject: [PATCH 32/47] Added compatibility with constrained coeffs

---
 src/smefit/optimize/analytic.py | 8 +++++---
 1 file changed, 5 insertions(+), 3 deletions(-)

diff --git a/src/smefit/optimize/analytic.py b/src/smefit/optimize/analytic.py
index 67e38e75..e98ab688 100644
--- a/src/smefit/optimize/analytic.py
+++ b/src/smefit/optimize/analytic.py
@@ -150,13 +150,15 @@ def run_sampling(self):
         )
 
         # Compute some metrics of the fit result
-        coeffs_name = sorted(self.coefficients.free_parameters.index)
-
-        fit_result["best_fit_point"] = dict(zip(coeffs_name, coeff_best))
+        # Get names of coefficients, including the constrained ones
+        coeffs_name = sorted(self.coefficients.name)
 
+        # set the best fit point
         self.coefficients.set_free_parameters(coeff_best)
         self.coefficients.set_constraints()
 
+        fit_result["best_fit_point"] = dict(zip(coeffs_name, self.coefficients.value))
+
         # compute max log likelihood
         chi2_tot = chi2.compute_chi2(
             self.loaded_datasets,

From 2ca410cad722c509d13a10c689f2c001d8a54389 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Thu, 21 Nov 2024 10:39:46 +0100
Subject: [PATCH 33/47] Added compatibility with constrained coeffs in best_fit
 point in ultranest

---
 src/smefit/optimize/ultranest.py | 7 ++++---
 1 file changed, 4 insertions(+), 3 deletions(-)

diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 0a98062b..4d2c6f1a 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -427,9 +427,10 @@ def save(self, result):
         # Writing the fit summary results
         logz = result["logz"]
         max_loglikelihood = result["maximum_likelihood"]["logl"]
-        best_fit_point = dict(
-            zip(self.free_parameters.index, result["maximum_likelihood"]["point"])
-        )
+        # get the best fit point, including the constrained coefficients
+        self.coefficients.set_free_parameters(result["maximum_likelihood"]["point"])
+        self.coefficients.set_constraints()
+        best_fit_point = dict(zip(self.coefficients.name, self.coefficients.value))
 
         fit_result = {
             "logz": logz,

From 04f36fa658327c412a8d4543d2e7ae94f3f41721 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Thu, 21 Nov 2024 11:06:36 +0000
Subject: [PATCH 34/47] combining jsons into one

---
 src/smefit/fit_manager.py        | 12 ++++--------
 src/smefit/optimize/__init__.py  | 31 +++++++++++++++++--------------
 src/smefit/optimize/ultranest.py | 17 +++++++++--------
 3 files changed, 30 insertions(+), 30 deletions(-)

diff --git a/src/smefit/fit_manager.py b/src/smefit/fit_manager.py
index d665de2b..7b88327d 100644
--- a/src/smefit/fit_manager.py
+++ b/src/smefit/fit_manager.py
@@ -98,6 +98,9 @@ def load_results(self):
 
         # Be sure columns are sorted, otherwise can't compute theory...
         self.results = pd.DataFrame(results).sort_index(axis=1)
+        fit_result["best_fit_point"] = pd.DataFrame(
+            [fit_result["best_fit_point"]]
+        ).sort_index(axis=1)
         self.fit_result = fit_result
 
     def load_configuration(self):
@@ -165,16 +168,9 @@ def smeft_predictions_best_fit(self):
             |SMEFT| predictions for the best fit
         """
 
-        best_fit_point = np.array(
-            [
-                self.fit_result["best_fit_point"][key]
-                for key in sorted(self.fit_result["best_fit_point"].keys())
-            ]
-        )
-
         predictions = make_predictions(
             self.datasets,
-            best_fit_point,
+            self.fit_result["best_fit_point"],
             self.config["use_quad"],
             self.config.get("use_multiplicative_prescription", False),
         )
diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index 1ec99027..f1cc5b16 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -172,36 +172,39 @@ def chi2_func(self, use_replica=False, print_log=True):
 
         return chi2_tot
 
-    def dump_posterior(self, posterior_file, values):
-        if self.single_parameter_fits:
-            if posterior_file.is_file():
-                with open(posterior_file, encoding="utf-8") as f:
-                    tmp = json.load(f)
-                    values.update(tmp)
-            else:
-                values["single_parameter_fits"] = True
+    def dump_fit_result(self, fit_result_file, values):
+        """
+        Dumps the fit results to a json file.
 
-        with open(posterior_file, "w", encoding="utf-8") as f:
-            json.dump(values, f)
+        dump_fit_result gets called repeatedly for single parameter fits, once for each parameter.
+        `values` contains the samples of the current fit, while previous fit results get loaded into `tmp` and
+        updated with the current samples. The updated values are then written back to the file.
+
+        Parameters
+        ----------
+        fit_result_file: PosixPath
+            path to the fit results file
+        values: dict
+            dictionary containing the current fit results
+        """
 
-    def dump_fit_result(self, fit_result_file, values):
         if self.single_parameter_fits:
-            values["single_parameter_fits"] = True
             if fit_result_file.is_file():
                 with open(fit_result_file, encoding="utf-8") as f:
                     tmp = json.load(f)
                     # Get the operator name
-                    coeff = list(values["best_fit_point"].keys())[0]
+                    coeff = list(values["samples"].keys())[0]
                     # update the values
                     tmp["logz"][coeff] = values["logz"]
                     tmp["max_loglikelihood"][coeff] = values["max_loglikelihood"]
                     tmp["best_fit_point"][coeff] = values["best_fit_point"][coeff]
-
+                    tmp["samples"][coeff] = values["samples"][coeff]
                     # update the file with the new values
                     with open(fit_result_file, "w", encoding="utf-8") as f:
                         json.dump(tmp, f, indent=4)
 
             else:
+                values["single_parameter_fits"] = True
                 with open(fit_result_file, "w", encoding="utf-8") as f:
                     # Get the operator name
                     coeff = list(values["best_fit_point"].keys())[0]
diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 4d2c6f1a..beaf9682 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -403,26 +403,26 @@ def save(self, result):
             result dictionary
 
         """
-        values = {}
+        posterior_samples = {}
         for c in self.coefficients.name:
-            values[c] = []
+            posterior_samples[c] = []
 
         for sample in result["samples"]:
             self.coefficients.set_free_parameters(sample)
             self.coefficients.set_constraints()
 
             for c in self.coefficients.name:
-                values[c].append(self.coefficients[c].value)
+                posterior_samples[c].append(self.coefficients[c].value)
 
         if self.pairwise_fits:
-            posterior_file = (
+            fit_results_file = (
                 self.results_path
-                / f"posterior_{self.coefficients.name[0]}_{self.coefficients.name[1]}.json"
+                / f"fit_results_{self.coefficients.name[0]}_{self.coefficients.name[1]}.json"
             )
         else:
-            posterior_file = self.results_path / "posterior.json"
+            fit_results_file = self.results_path / "fit_results.json"
 
-        self.dump_posterior(posterior_file, values)
+        # self.dump_posterior(posterior_file, values)
 
         # Writing the fit summary results
         logz = result["logz"]
@@ -433,9 +433,10 @@ def save(self, result):
         best_fit_point = dict(zip(self.coefficients.name, self.coefficients.value))
 
         fit_result = {
+            "samples": posterior_samples,
             "logz": logz,
             "max_loglikelihood": max_loglikelihood,
             "best_fit_point": best_fit_point,
         }
 
-        self.dump_fit_result(self.results_path / "fit_result.json", fit_result)
+        self.dump_fit_result(fit_results_file, fit_result)

From 8ddc9ea3368f12bfe25ebb8795671abb575c2867 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Thu, 21 Nov 2024 11:22:29 +0000
Subject: [PATCH 35/47] updating analytic save method

---
 src/smefit/optimize/analytic.py | 22 ++++++++++------------
 1 file changed, 10 insertions(+), 12 deletions(-)

diff --git a/src/smefit/optimize/analytic.py b/src/smefit/optimize/analytic.py
index e98ab688..182a77d6 100644
--- a/src/smefit/optimize/analytic.py
+++ b/src/smefit/optimize/analytic.py
@@ -168,7 +168,7 @@ def run_sampling(self):
         )
         max_logl = float(-0.5 * chi2_tot)
 
-        fit_result["max_log_likelihood"] = max_logl
+        fit_result["max_loglikelihood"] = max_logl
 
         gaussian_integral = np.log(np.sqrt(np.linalg.det(2 * np.pi * coeff_covmat)))
         # NOTE: current formula for logz is not inluding the prior penalty
@@ -182,10 +182,10 @@ def run_sampling(self):
 
             # sample
             _logger.info("Sampling solutions ...")
-            samples = np.random.multivariate_normal(
+            fit_result["samples"] = np.random.multivariate_normal(
                 coeff_best, coeff_covmat, size=(self.n_samples,)
             )
-            self.save(samples, fit_result)
+            self.save(fit_result)
         else:  # record only chi2 if no samples are requested
             self.coefficients.set_free_parameters(coeff_best)
             self.coefficients.set_constraints()
@@ -201,7 +201,7 @@ def run_sampling(self):
             with open(self.results_path / "chi2.dat", "a") as f:
                 f.write(f"{chi2_red} \n")
 
-    def save(self, samples, fit_result):
+    def save(self, result):
         """Save samples to json inside a dictionary: {coff: [replicas values]}.
         Saving also some basic information about the fit.
 
@@ -211,20 +211,18 @@ def save(self, samples, fit_result):
             raw samples with shape (n_samples, n_free_param)
 
         """
-        values = {}
+        posterior_samples = {}
         for c in self.coefficients.name:
-            values[c] = []
+            posterior_samples[c] = []
 
         # propagate constrain
-        for sample in samples:
+        for sample in result["samples"]:
             self.coefficients.set_free_parameters(sample)
             self.coefficients.set_constraints()
 
             for c in self.coefficients.name:
-                values[c].append(self.coefficients[c].value)
-
-        posterior_file = self.results_path / "posterior.json"
-        self.dump_posterior(posterior_file, values)
+                posterior_samples[c].append(self.coefficients[c].value)
 
+        result["samples"] = posterior_samples
         # save fit result
-        self.dump_fit_result(self.results_path / "fit_result.json", fit_result)
+        self.dump_fit_result(self.results_path / "fit_result.json", result)

From 12feafe1c5273b82f9a113c3a89442e5cb45e6c4 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Thu, 21 Nov 2024 11:35:29 +0000
Subject: [PATCH 36/47] updating call of results to include samples

---
 src/smefit/analyze/report.py    | 10 ++++++----
 src/smefit/fit_manager.py       | 24 ++++++++++++------------
 src/smefit/optimize/analytic.py |  2 +-
 3 files changed, 19 insertions(+), 17 deletions(-)

diff --git a/src/smefit/analyze/report.py b/src/smefit/analyze/report.py
index 6be9cf14..c64fa9fb 100644
--- a/src/smefit/analyze/report.py
+++ b/src/smefit/analyze/report.py
@@ -337,7 +337,7 @@ def coefficients(
                 for fit in self.fits
             ]
             coeff_plt.plot_posteriors(
-                [fit.results for fit in self.fits],
+                [fit.results["samples"] for fit in self.fits],
                 labels=[fit.label for fit in self.fits],
                 disjointed_lists=disjointed_lists,
             )
@@ -354,7 +354,7 @@ def coefficients(
             coeff_plt.plot_contours_2d(
                 [
                     (
-                        fit.results[fit.coefficients.free_parameters.index],
+                        fit.results["samples"][fit.coefficients.free_parameters.index],
                         fit.config["use_quad"],
                     )
                     for fit in self.fits
@@ -397,7 +397,7 @@ def correlations(
             _logger.info(f"Plotting correlations for: {fit.name}")
             coeff_to_keep = fit.coefficients.free_parameters.index
             plot_correlations(
-                fit.results[coeff_to_keep],
+                fit.results["samples"][coeff_to_keep],
                 latex_names=self.coeff_info.droplevel(0),
                 fig_name=f"{self.report}/correlations_{fit.name}",
                 title=fit.label if title else None,
@@ -508,7 +508,9 @@ def fisher(
 
             # if necessary compute the quadratic Fisher
             if compute_quad:
-                fisher_cal.compute_quadratic(fit.results, fit.smeft_predictions)
+                fisher_cal.compute_quadratic(
+                    fit.results["samples"], fit.smeft_predictions
+                )
                 fisher_cal.quad_fisher = fisher_cal.normalize(
                     fisher_cal.quad_fisher, norm=norm, log=log
                 )
diff --git a/src/smefit/fit_manager.py b/src/smefit/fit_manager.py
index 7b88327d..dc48bd48 100644
--- a/src/smefit/fit_manager.py
+++ b/src/smefit/fit_manager.py
@@ -70,7 +70,7 @@ def load_results(self):
         """
         file = "results"
         if self.has_posterior:
-            file = "posterior"
+            file = "fit_results"
         with open(f"{self.path}/{self.name}/{file}.json", encoding="utf-8") as f:
             results = json.load(f)
 
@@ -85,23 +85,23 @@ def load_results(self):
             del results["single_parameter_fits"]
 
             num_samples = []
-            for key in results.keys():
-                num_samples.append(len(results[key]))
+            for key in results["samples"].keys():
+                num_samples.append(len(results["samples"][key]))
             num_samples_min = min(num_samples)
 
-            for key in results.keys():
-                results[key] = np.random.choice(
-                    results[key], num_samples_min, replace=False
+            for key in results["samples"].keys():
+                results["samples"][key] = np.random.choice(
+                    results["samples"][key], num_samples_min, replace=False
                 )
 
         # TODO: support pariwise posteriors
 
         # Be sure columns are sorted, otherwise can't compute theory...
-        self.results = pd.DataFrame(results).sort_index(axis=1)
+        results["samples"] = pd.DataFrame(results["samples"]).sort_index(axis=1)
         fit_result["best_fit_point"] = pd.DataFrame(
-            [fit_result["best_fit_point"]]
+            [results["best_fit_point"]]
         ).sort_index(axis=1)
-        self.fit_result = fit_result
+        self.results = results
 
     def load_configuration(self):
         """Load configuration yaml card.
@@ -151,7 +151,7 @@ def smeft_predictions(self):
             smeft.append(
                 make_predictions(
                     self.datasets,
-                    self.results.iloc[rep, :],
+                    self.results["samples"].iloc[rep, :],
                     self.config["use_quad"],
                     self.config.get("use_multiplicative_prescription", False),
                 )
@@ -170,7 +170,7 @@ def smeft_predictions_best_fit(self):
 
         predictions = make_predictions(
             self.datasets,
-            self.fit_result["best_fit_point"],
+            self.results["best_fit_point"],
             self.config["use_quad"],
             self.config.get("use_multiplicative_prescription", False),
         )
@@ -186,4 +186,4 @@ def coefficients(self):
     @property
     def n_replica(self):
         """Number of replicas"""
-        return self.results.shape[0]
+        return self.results["samples"].shape[0]
diff --git a/src/smefit/optimize/analytic.py b/src/smefit/optimize/analytic.py
index 182a77d6..c2fadc57 100644
--- a/src/smefit/optimize/analytic.py
+++ b/src/smefit/optimize/analytic.py
@@ -225,4 +225,4 @@ def save(self, result):
 
         result["samples"] = posterior_samples
         # save fit result
-        self.dump_fit_result(self.results_path / "fit_result.json", result)
+        self.dump_fit_result(self.results_path / "fit_results.json", result)

From 29c6965a042fb97a79fea6ef92c164645717ba4b Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Thu, 21 Nov 2024 11:37:34 +0000
Subject: [PATCH 37/47] updating tests

---
 tests/test_chi2_utils.py | 12 ++++++------
 1 file changed, 6 insertions(+), 6 deletions(-)

diff --git a/tests/test_chi2_utils.py b/tests/test_chi2_utils.py
index 83d8e7f7..f56f5bc7 100644
--- a/tests/test_chi2_utils.py
+++ b/tests/test_chi2_utils.py
@@ -23,7 +23,7 @@ class mock_FitManager:
 
     fit.config["use_quad"] = False
     fit.load_datasets()
-    fit.results = post_df
+    fit.results = {"samples": post_df}
 
 
 class Test_FitManager(mock_FitManager):
@@ -42,10 +42,10 @@ def test_predictions_rep(self):
         self.fit.config["use_quad"] = True
         self.fit.load_datasets()
         pr_tesr = np.zeros_like(self.fit.smeft_predictions)
-        for rep in range(self.fit.results.shape[0]):
+        for rep in range(self.fit.results["samples"].shape[0]):
             pr_tesr[rep] = make_predictions(
                 self.fit.datasets,
-                self.fit.results.iloc[rep, :],
+                self.fit.results["samples"].iloc[rep, :],
                 self.fit.config["use_quad"],
                 False,
             )
@@ -74,11 +74,11 @@ def test_chi2_rep(self):
         _, chi2_rep = self.chi2_cal.compute(
             self.fit.datasets, self.fit.smeft_predictions
         )
-        chi2_rep_test = np.zeros(self.fit.results.shape[0])
-        for rep in range(self.fit.results.shape[0]):
+        chi2_rep_test = np.zeros(self.fit.results["samples"].shape[0])
+        for rep in range(self.fit.results["samples"].shape[0]):
             chi2_rep_test[rep] = compute_chi2(
                 self.fit.datasets,
-                self.fit.results.iloc[rep, :],
+                self.fit.results["samples"].iloc[rep, :],
                 self.fit.config["use_quad"],
                 False,
             )

From 3f3e2e4a91972f805c0dcdf835fbe52811f68968 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Thu, 21 Nov 2024 11:41:59 +0000
Subject: [PATCH 38/47] updating more tests

---
 src/smefit/analyze/report.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/smefit/analyze/report.py b/src/smefit/analyze/report.py
index c64fa9fb..d9a87368 100644
--- a/src/smefit/analyze/report.py
+++ b/src/smefit/analyze/report.py
@@ -240,7 +240,7 @@ def coefficients(
         bounds_dict = {}
         for fit in self.fits:
             bounds_dict[fit.label] = compute_confidence_level(
-                fit.results,
+                fit.results["samples"],
                 coeff_plt.coeff_info,
                 fit.has_posterior,
                 (

From f08ed9531456954a5480f04f223fe8bef1bebcd7 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Thu, 21 Nov 2024 12:43:40 +0000
Subject: [PATCH 39/47] updating dump results in mc

---
 src/smefit/optimize/mc.py | 9 ++++++++-
 1 file changed, 8 insertions(+), 1 deletion(-)

diff --git a/src/smefit/optimize/mc.py b/src/smefit/optimize/mc.py
index ef85221c..18aa4878 100644
--- a/src/smefit/optimize/mc.py
+++ b/src/smefit/optimize/mc.py
@@ -311,4 +311,11 @@ def save(self):
             / f"replica_{self.replica}/coefficients_rep_{self.replica}.json"
         )
 
-        self.dump_posterior(posterior_file, values)
+        fit_result = {
+            "samples": values,
+            "logz": None,
+            "max_loglikelihood": None,
+            "best_fit_point": None,
+        }
+
+        self.dump_fit_result(posterior_file, fit_result)

From a7f87feaecd95e637597ab7d28b1567ca552129e Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Thu, 21 Nov 2024 13:04:24 +0000
Subject: [PATCH 40/47] am fixing some codefactor issues

---
 src/smefit/fit_manager.py        |  1 -
 src/smefit/optimize/__init__.py  |  5 +++--
 src/smefit/optimize/analytic.py  |  6 +++---
 src/smefit/optimize/ultranest.py | 14 +++++++-------
 4 files changed, 13 insertions(+), 13 deletions(-)

diff --git a/src/smefit/fit_manager.py b/src/smefit/fit_manager.py
index dc48bd48..2a01cab4 100644
--- a/src/smefit/fit_manager.py
+++ b/src/smefit/fit_manager.py
@@ -54,7 +54,6 @@ def __init__(self, path, name, label=None):
         self.has_posterior = self.config.get("has_posterior", True)
         self.results = None
         self.datasets = None
-        self.fit_result = None
 
     def __repr__(self):
         return self.name
diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index f1cc5b16..977b20ac 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -177,8 +177,9 @@ def dump_fit_result(self, fit_result_file, values):
         Dumps the fit results to a json file.
 
         dump_fit_result gets called repeatedly for single parameter fits, once for each parameter.
-        `values` contains the samples of the current fit, while previous fit results get loaded into `tmp` and
-        updated with the current samples. The updated values are then written back to the file.
+        `values` contains the samples of the current fit, while previous fit results get loaded
+        into `tmp` and updated with the current samples. The updated values are then written back
+        to the file.
 
         Parameters
         ----------
diff --git a/src/smefit/optimize/analytic.py b/src/smefit/optimize/analytic.py
index c2fadc57..6aa2ce53 100644
--- a/src/smefit/optimize/analytic.py
+++ b/src/smefit/optimize/analytic.py
@@ -47,9 +47,9 @@ def __init__(
         n_samples,
     ):
         super().__init__(
-            f"{result_path}/{result_ID}",
-            loaded_datasets,
-            coefficients,
+            results_path=f"{result_path}/{result_ID}",
+            loaded_datasets=loaded_datasets,
+            coefficients=coefficients,
             # disble quadratic corrections here
             use_quad=False,
             single_parameter_fits=single_parameter_fits,
diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index beaf9682..258b6e2a 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -86,13 +86,13 @@ def __init__(
         external_chi2=None,
     ):
         super().__init__(
-            f"{result_path}/{result_ID}",
-            loaded_datasets,
-            coefficients,
-            use_quad,
-            single_parameter_fits,
-            use_multiplicative_prescription,
-            external_chi2,
+            result_path=f"{result_path}/{result_ID}",
+            loaded_datasets=loaded_datasets,
+            coefficients=coefficients,
+            use_quad=use_quad,
+            single_parameter_fits=single_parameter_fits,
+            use_multiplicative_prescription=use_multiplicative_prescription,
+            external_chi2=external_chi2,
         )
         self.live_points = live_points
         self.lepsilon = lepsilon

From 28f276b7b461da9bfbe694ef2b37dad17d585c60 Mon Sep 17 00:00:00 2001
From: jacoterh <54140851+jacoterh@users.noreply.github.com>
Date: Thu, 21 Nov 2024 13:32:44 +0000
Subject: [PATCH 41/47] fixing keyword argument

---
 src/smefit/optimize/ultranest.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/smefit/optimize/ultranest.py b/src/smefit/optimize/ultranest.py
index 258b6e2a..37dd7d37 100644
--- a/src/smefit/optimize/ultranest.py
+++ b/src/smefit/optimize/ultranest.py
@@ -86,7 +86,7 @@ def __init__(
         external_chi2=None,
     ):
         super().__init__(
-            result_path=f"{result_path}/{result_ID}",
+            results_path=f"{result_path}/{result_ID}",
             loaded_datasets=loaded_datasets,
             coefficients=coefficients,
             use_quad=use_quad,

From 68719720726505ba7311c28a50561cca04a79b68 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Thu, 21 Nov 2024 15:01:11 +0100
Subject: [PATCH 42/47] Disable too-many-positional-arguments

---
 .pylintrc | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/.pylintrc b/.pylintrc
index 4e1ce58e..ef3ba76d 100644
--- a/.pylintrc
+++ b/.pylintrc
@@ -129,7 +129,8 @@ disable=
 	no-else-return,
 	global-statement,
 	too-many-public-method,
-	too-many-ancestors
+	too-many-ancestors,
+	too-many-positional-arguments
 
 # Enable the message, report, category or checker with the given id(s). You can
 # either give multiple identifier separated by comma (,) or put this option

From c621fb84ea22752d3770665e9b27829a00fd0601 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Thu, 21 Nov 2024 15:23:00 +0100
Subject: [PATCH 43/47] Fixed missing iloc

---
 src/smefit/fit_manager.py | 9 ++-------
 1 file changed, 2 insertions(+), 7 deletions(-)

diff --git a/src/smefit/fit_manager.py b/src/smefit/fit_manager.py
index 2a01cab4..594f88d3 100644
--- a/src/smefit/fit_manager.py
+++ b/src/smefit/fit_manager.py
@@ -73,10 +73,6 @@ def load_results(self):
         with open(f"{self.path}/{self.name}/{file}.json", encoding="utf-8") as f:
             results = json.load(f)
 
-        # load the fit results
-        with open(f"{self.path}/{self.name}/fit_result.json", encoding="utf-8") as f:
-            fit_result = json.load(f)
-
         # if the posterior is from single parameter fits
         # then each distribution might have a different number of samples
         is_single_param = results.get("single_parameter_fits", False)
@@ -97,7 +93,7 @@ def load_results(self):
 
         # Be sure columns are sorted, otherwise can't compute theory...
         results["samples"] = pd.DataFrame(results["samples"]).sort_index(axis=1)
-        fit_result["best_fit_point"] = pd.DataFrame(
+        results["best_fit_point"] = pd.DataFrame(
             [results["best_fit_point"]]
         ).sort_index(axis=1)
         self.results = results
@@ -166,10 +162,9 @@ def smeft_predictions_best_fit(self):
         np.ndarray:
             |SMEFT| predictions for the best fit
         """
-
         predictions = make_predictions(
             self.datasets,
-            self.results["best_fit_point"],
+            self.results["best_fit_point"].iloc[0, :],
             self.config["use_quad"],
             self.config.get("use_multiplicative_prescription", False),
         )

From 73e79d160b1fc148c10b7cbefbd8411d64242a01 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Thu, 21 Nov 2024 19:44:02 +0100
Subject: [PATCH 44/47] Added numpy encoder when dumping

---
 src/smefit/optimize/__init__.py | 15 +++++++++++----
 1 file changed, 11 insertions(+), 4 deletions(-)

diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index 0f163487..5aa272d3 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -2,8 +2,8 @@
 import importlib
 import json
 import pathlib
-import sys
 
+import numpy as np
 from rich.style import Style
 from rich.table import Table
 
@@ -23,6 +23,13 @@
 _logger = log.logging.getLogger(__name__)
 
 
+class NumpyEncoder(json.JSONEncoder):
+    def default(self, obj):
+        if isinstance(obj, (np.float32, np.float64, np.int32, np.int64)):
+            return obj.item()  # Convert to native Python type
+        return super().default(obj)
+
+
 class Optimizer:
     """
     Common interface for Chi2 profile, NS and MC and A optimizers.
@@ -257,7 +264,7 @@ def dump_fit_result(self, fit_result_file, values):
                     tmp["samples"][coeff] = values["samples"][coeff]
                     # update the file with the new values
                     with open(fit_result_file, "w", encoding="utf-8") as f:
-                        json.dump(tmp, f, indent=4)
+                        json.dump(tmp, f, indent=4, cls=NumpyEncoder)
 
             else:
                 values["single_parameter_fits"] = True
@@ -266,8 +273,8 @@ def dump_fit_result(self, fit_result_file, values):
                     coeff = list(values["best_fit_point"].keys())[0]
                     values["logz"] = {coeff: values["logz"]}
                     values["max_loglikelihood"] = {coeff: values["max_loglikelihood"]}
-                    json.dump(values, f, indent=4)
+                    json.dump(values, f, indent=4, cls=NumpyEncoder)
 
         else:
             with open(fit_result_file, "w", encoding="utf-8") as f:
-                json.dump(values, f, indent=4)
+                json.dump(values, f, indent=4, cls=NumpyEncoder)

From e0f3d26ecf3875d261a830e12829f28beee1da66 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Thu, 21 Nov 2024 20:55:01 +0100
Subject: [PATCH 45/47] Fix CodeFactor

---
 src/smefit/optimize/__init__.py | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/src/smefit/optimize/__init__.py b/src/smefit/optimize/__init__.py
index 5aa272d3..285ec5f8 100644
--- a/src/smefit/optimize/__init__.py
+++ b/src/smefit/optimize/__init__.py
@@ -24,10 +24,10 @@
 
 
 class NumpyEncoder(json.JSONEncoder):
-    def default(self, obj):
-        if isinstance(obj, (np.float32, np.float64, np.int32, np.int64)):
-            return obj.item()  # Convert to native Python type
-        return super().default(obj)
+    def default(self, o):
+        if isinstance(o, (np.float32, np.float64, np.int32, np.int64)):
+            return o.item()  # Convert to native Python type
+        return super().default(o)
 
 
 class Optimizer:

From 288bb29caebbefb052d0c87a4657d90a0ab587d3 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Sat, 23 Nov 2024 13:43:06 +0100
Subject: [PATCH 46/47] Removed input dependence

---
 src/smefit/rge.py | 37 ++++++++++++++++++++++++++++++++++++-
 1 file changed, 36 insertions(+), 1 deletion(-)

diff --git a/src/smefit/rge.py b/src/smefit/rge.py
index 5095cdf2..6f7eafe3 100644
--- a/src/smefit/rge.py
+++ b/src/smefit/rge.py
@@ -2,7 +2,7 @@
 import pathlib
 import warnings
 from copy import deepcopy
-from functools import partial
+from functools import partial, wraps
 
 import ckmutil.ckm
 import jax.numpy as jnp
@@ -40,6 +40,41 @@ def beta_wrapper(C, HIGHSCALE=np.inf, *args, **kwargs):
     wilson.run.smeft.beta.beta_array, HIGHSCALE=np.inf
 )
 
+# Patch smeftpar: we remove all dependence on SMEFT parameters
+# in SM paramaters, otherwise the linear approximation is not valid
+C_patch = {
+    "phi": 0.0,
+    "phiBox": 0.0,
+    "phiD": 0.0,
+    "phiWB": 0.0,
+    "phiG": 0.0,
+    "phiW": 0.0,
+    "phiB": 0.0,
+    "dphi": 0.0,
+    "uphi": 0.0,
+    "ephi": 0.0,
+}
+# Reference to the original smeftpar function
+original_smeftpar = wilson.run.smeft.smpar.smeftpar
+
+
+# Define the monkey-patched function
+@wraps(original_smeftpar)
+def patched_smeftpar(*args, **kwargs):
+    # check if C is passed as a keyword argument
+    if "C" in kwargs:
+        kwargs["C"] = C_patch
+    # otherwise, check if it is passed as a positional argument
+    else:
+        args = list(args)
+        args[1] = C_patch
+
+    return original_smeftpar(*args, **kwargs)
+
+
+# Apply the monkey patch
+wilson.run.smeft.smpar.smeftpar = patched_smeftpar
+
 # Suppress the ComplexWarning
 warnings.filterwarnings("ignore", category=ComplexWarning)
 

From 57084fcf0a7b761af36d06954c0457163d691696 Mon Sep 17 00:00:00 2001
From: Luca Mantani <luca.mantani@gmail.com>
Date: Sat, 23 Nov 2024 15:01:00 +0100
Subject: [PATCH 47/47] Removed flavour rotation

---
 src/smefit/rge.py | 21 +++++++++++++++++++++
 1 file changed, 21 insertions(+)

diff --git a/src/smefit/rge.py b/src/smefit/rge.py
index 6f7eafe3..c86babd9 100644
--- a/src/smefit/rge.py
+++ b/src/smefit/rge.py
@@ -25,6 +25,7 @@
 ckmutil.ckm.ckm_tree = partial(ckm_tree, delta_expansion_order=0)
 ### End of patch
 
+##################### MONKEY PATCH
 # switch off the SM - EFT mixing, since SMEFiT assumes that the
 # RGE solution is linearised
 # Keep a reference to the original beta function
@@ -39,7 +40,9 @@ def beta_wrapper(C, HIGHSCALE=np.inf, *args, **kwargs):
 wilson.run.smeft.beta.beta_array = partial(
     wilson.run.smeft.beta.beta_array, HIGHSCALE=np.inf
 )
+##################### END OF MONKEY PATCH
 
+##################### MONKEY PATCH
 # Patch smeftpar: we remove all dependence on SMEFT parameters
 # in SM paramaters, otherwise the linear approximation is not valid
 C_patch = {
@@ -74,6 +77,24 @@ def patched_smeftpar(*args, **kwargs):
 
 # Apply the monkey patch
 wilson.run.smeft.smpar.smeftpar = patched_smeftpar
+##################### END OF MONKEY PATCH
+
+
+##################### MONKEY PATCH
+# Monkey patch flavour rotation
+# Define the new method
+def _to_wcxf_no_rotation(self, C_out, scale_out):
+    """Return the Wilson coefficients `C_out` as a wcxf.WC instance, without rotation."""
+    # Skip the self._rotate_defaultbasis line
+    d = wilson.util.smeftutil.arrays2wcxf_nonred(C_out)
+    d = wilson.wcxf.WC.dict2values(d)
+    wc = wilson.wcxf.WC("SMEFT", "Warsaw", scale_out, d)
+    return wc
+
+
+# Monkey-patch the method
+wilson.run.smeft.classes.SMEFT._to_wcxf = _to_wcxf_no_rotation
+##################### END OF MONKEY PATCH
 
 # Suppress the ComplexWarning
 warnings.filterwarnings("ignore", category=ComplexWarning)