diff --git a/.devcontainer/onCreate-meson.sh b/.devcontainer/onCreate-meson.sh
index 795baf63a48..2751126ab61 100755
--- a/.devcontainer/onCreate-meson.sh
+++ b/.devcontainer/onCreate-meson.sh
@@ -20,12 +20,12 @@ uv venv --clear
 . $UV_PROJECT_ENVIRONMENT/bin/activate # https://github.com/astral-sh/uv/issues/14022
 uv pip install \
     meson-python \
-    "cypari2 >=2.2.1" \
-    "cysignals >=1.11.2, != 1.12.0" \
-    "cython >=3.0, != 3.0.3, < 3.1.0" \
-    "gmpy2 >=2.1.5" \
-    memory_allocator \
-    "numpy >=1.25" \
-    jinja2 \
-    setuptools
+    "cypari2 == 2.2.4" \
+    "cysignals == 1.12.6" \
+    "cython == 3.2.3" \
+    "gmpy2 == 2.2.2" \
+    "memory_allocator == 0.1.4" \
+    "numpy == 2.4.0" \
+    "jinja2 == 3.1.6" \
+    "setuptools == 80.9.0"
 uv sync --frozen --inexact --no-build-isolation -v --config-settings=builddir=build/build-$SYSTEM-$devcontainerId
diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index f7316333d73..0f995d77500 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -3,18 +3,18 @@ name: CI Linux
 on:
   push:
     tags:
-      - '*'
+      - "*"
   pull_request:
     paths:
-      - '**.build'
-      - 'uv.lock'
-      - 'subprojects/**'
-      - '.github/workflows/ci.yml'
+      - "**.build"
+      - "uv.lock"
+      - "subprojects/**"
+      - ".github/workflows/ci.yml"
   workflow_dispatch:
     # Allow to run manually
 
 jobs:
-  build:
+  linux:
     name: Build and Test
     runs-on: ubuntu-latest
     strategy:
@@ -91,16 +91,17 @@ jobs:
       - name: Build
         run: |
           # Install build dependencies manually as workaround for https://github.com/astral-sh/uv/issues/1516
+          # Need to be in sync with uv.lock
           uv pip install \
             meson-python \
-            "cypari2 >=2.2.1" \
-            "cysignals >=1.12.1" \
-            "cython >=3.1.0" \
-            "gmpy2 >=2.1.5" \
-            memory_allocator \
-            "numpy >=1.25" \
-            jinja2 \
-            setuptools
+            "cypari2 == 2.2.4" \
+            "cysignals == 1.12.6" \
+            "cython == 3.2.3" \
+            "gmpy2 == 2.2.2" \
+            "memory_allocator == 0.1.4" \
+            "numpy == 2.4.0" \
+            "jinja2 == 3.1.6" \
+            "setuptools == 80.9.0"
           uv sync --frozen --inexact --no-build-isolation -v
 
       - name: Test
@@ -111,10 +112,10 @@ jobs:
         id: clear-container-name
         if: failure() || success()
         run: |
-            # Output the container name, but with ":" and "/" replaced by "-"
-            # This is needed to avoid issues with the upload-artifact action
-            CONTAINER_NAME=$(echo "${{ matrix.container }}" | tr ':/' '--')
-            echo "CONTAINER_NAME=$CONTAINER_NAME" >> $GITHUB_OUTPUT
+          # Output the container name, but with ":" and "/" replaced by "-"
+          # This is needed to avoid issues with the upload-artifact action
+          CONTAINER_NAME=$(echo "${{ matrix.container }}" | tr ':/' '--')
+          echo "CONTAINER_NAME=$CONTAINER_NAME" >> $GITHUB_OUTPUT
 
       - name: Upload log
         uses: actions/upload-artifact@v4.5.0
@@ -124,3 +125,81 @@ jobs:
           path: |
             build/cp313/meson-logs/
             build/cp313/meson-info/
+
+  mingw:
+    name: Build and Test (Mingw)
+    runs-on: windows-latest
+    steps:
+      - name: Checkout code
+        uses: actions/checkout@v4
+
+      - name: Install uv
+        uses: astral-sh/setup-uv@v6.7.0
+
+      - name: Set up Python
+        run: |
+          uv python install
+          uv venv
+          .venv\Scripts\activate
+          echo PATH=$PATH >> $GITHUB_ENV
+
+      - name: Install dependencies
+        uses: msys2/setup-msys2@v2
+        with:
+          msystem: UCRT64
+          update: true
+          install: >-
+            base-devel
+            mingw-w64-ucrt-x86_64-toolchain
+            mingw-w64-ucrt-x86_64-ninja
+            mingw-w64-ucrt-x86_64-gmp
+            mingw-w64-ucrt-x86_64-openblas
+            mingw-w64-ucrt-x86_64-m4ri
+            mingw-w64-ucrt-x86_64-flint
+            mingw-w64-ucrt-x86_64-mpfi
+            mingw-w64-ucrt-x86_64-gsl
+            mingw-w64-ucrt-x86_64-libgd
+            mingw-w64-ucrt-x86_64-gsl
+            mingw-w64-ucrt-x86_64-libgd
+            mingw-w64-ucrt-x86_64-ntl
+            mingw-w64-ucrt-x86_64-boost
+            mingw-w64-ucrt-x86_64-nauty
+            mingw-w64-ucrt-x86_64-libhomfly
+            mingw-w64-ucrt-x86_64-symmetrica
+            mingw-w64-ucrt-x86_64-glpk
+            mingw-w64-ucrt-x86_64-gc
+            mingw-w64-ucrt-x86_64-bliss
+            mingw-w64-ucrt-x86_64-cliquer
+            mingw-w64-ucrt-x86_64-planarity
+            mingw-w64-ucrt-x86_64-rankwidth
+          path-type: inherit
+
+      - name: Build
+        shell: msys2 {0}
+        run: |
+          # Install build dependencies manually as workaround for https://github.com/astral-sh/uv/issues/1516
+          # Need to be in sync with uv.lock
+          uv pip install \
+            meson-python \
+            "cysignals == 1.12.6" \
+            "cython == 3.2.3" \
+            "gmpy2 == 2.2.2" \
+            "memory_allocator == 0.1.4" \
+            "numpy == 2.4.0" \
+            "jinja2 == 3.1.6" \
+            "setuptools == 80.9.0"
+          uv sync --frozen --inexact --no-build-isolation -v --no-editable --config-settings=builddir=builddir
+
+      - name: Test
+        shell: msys2 {0}
+        run: |
+          uv run --frozen ./sage -t --all -p4 || true
+
+      - name: Upload log
+        uses: actions/upload-artifact@v4.5.0
+        if: failure() || success()
+        with:
+          name: mingw-log
+          path: |
+            build/cp313/meson-logs/
+            build/cp313/meson-info/
diff --git a/src/doc/en/installation/source.rst b/src/doc/en/installation/source.rst
index d785ed9abef..fefe1fa4bdf 100644
--- a/src/doc/en/installation/source.rst
+++ b/src/doc/en/installation/source.rst
@@ -171,14 +171,15 @@ To compile and install Sage in editable install, then just use:
     $ uv venv
     $ uv pip install \
         meson-python \
-        "cypari2 >=2.2.1" \
-        "cython >=3.0, != 3.0.3, != 3.1.0" \
-        "gmpy2 >=2.1.5" \
-        memory_allocator \
-        "numpy >=1.25" \
-        "ninja >=1.8.2" \
-        jinja2 \
-        setuptools
+        "cypari2 == 2.2.4" \
+        "cysignals == 1.12.6" \
+        "cython == 3.2.3" \
+        "gmpy2 == 2.2.2" \
+        "memory_allocator == 0.1.4" \
+        "numpy == 2.4.0" \
+        "ninja >= 1.8.2" \
+        "jinja2 == 3.1.6" \
+        "setuptools == 80.9.0"
     $ uv sync --frozen --inexact --no-build-isolation
 
 You can then start Sage from the command line with ``./sage``
diff --git a/src/sage/config.py.in b/src/sage/config.py.in
index d7ae0db56d4..d38c1a5c828 100644
--- a/src/sage/config.py.in
+++ b/src/sage/config.py.in
@@ -34,8 +34,8 @@ NTL_LIBDIR = "@NTL_LIBDIR@"
 # Path to the ecl-config script
 ECL_CONFIG = "@SAGE_ECL_CONFIG@".replace("${prefix}", SAGE_LOCAL)
 
-# Path to the nauty binaries; of the form "/path/to/" or "/path/to/nauty-" 
-SAGE_NAUTY_BINS_PREFIX = "@SAGE_NAUTY_BINS_PREFIX@"
+# Path to the nauty binaries; of the form "/path/to" or "/path/to/nauty-" 
+SAGE_NAUTY_BINS_PREFIX = r"@SAGE_NAUTY_BINS_PREFIX@"
 
 SAGE_ECMBIN = "@SAGE_ECMBIN@"
 
diff --git a/src/sage/features/__init__.py b/src/sage/features/__init__.py
index df9bdf6d892..e8a3a96fc05 100644
--- a/src/sage/features/__init__.py
+++ b/src/sage/features/__init__.py
@@ -657,7 +657,7 @@ def absolute_filename(self) -> str:
 
 class Executable(FileFeature):
     r"""
-    A feature describing an executable in the ``PATH``.
+    A feature describing an executable.
 
     In an installation of Sage with ``SAGE_LOCAL`` different from ``SAGE_VENV``, the
     executable is searched first in ``SAGE_VENV/bin``, then in ``SAGE_LOCAL/bin``,
@@ -680,7 +680,9 @@ class Executable(FileFeature):
         sage: Executable(name='does-not-exist', executable='does-not-exist-xxxxyxyyxyy').is_present()
         FeatureTestResult('does-not-exist', False)
     """
-    def __init__(self, name, executable, **kwds):
+    executable: Path
+
+    def __init__(self, name: str, executable: Path | str, **kwds) -> None:
         r"""
         TESTS::
 
@@ -689,9 +691,9 @@ def __init__(self, name, executable, **kwds):
             True
         """
         Feature.__init__(self, name, **kwds)
-        self.executable = executable
+        self.executable = Path(executable)
 
-    def _is_present(self):
+    def _is_present(self) -> FeatureTestResult:
         r"""
         Test whether the executable is on the current PATH and functional.
 
@@ -708,7 +710,7 @@ def _is_present(self):
             return result
         return self.is_functional()
 
-    def is_functional(self):
+    def is_functional(self) -> FeatureTestResult:
         r"""
         Return whether an executable in the path is functional.
 
@@ -744,22 +746,31 @@ def absolute_filename(self) -> str:
             sage.features.FeatureNotPresentError: does-not-exist is not available.
             Executable 'does-not-exist-xxxxyxyyxyy' not found on PATH.
         """
-        if SAGE_LOCAL:
-            if Path(SAGE_VENV).resolve() != Path(SAGE_LOCAL).resolve():
-                # As sage.env currently gives SAGE_LOCAL a fallback value from SAGE_VENV,
-                # SAGE_LOCAL is never unset.  So we only use it if it differs from SAGE_VENV.
-                search_path = ':'.join([os.path.join(SAGE_VENV, 'bin'),
-                                        os.path.join(SAGE_LOCAL, 'bin')])
-                path = shutil.which(self.executable, path=search_path)
-                if path is not None:
-                    return path
+        if self.executable.is_absolute() and self.executable.exists():
+            return str(self.executable.resolve())
+
+        if (
+            SAGE_LOCAL
+            and SAGE_VENV
+            and Path(SAGE_VENV).resolve() != Path(SAGE_LOCAL).resolve()
+        ):
+            # As sage.env currently gives SAGE_LOCAL a fallback value from SAGE_VENV,
+            # SAGE_LOCAL is never unset. So we only use it if it differs from SAGE_VENV.
+            search_paths = os.pathsep.join(
+                [os.path.join(SAGE_VENV, "bin"), os.path.join(SAGE_LOCAL, "bin")]
+            )
+            path = shutil.which(self.executable, path=search_paths)
+            if path is not None:
+                return path
         # Now look up in the regular PATH.
         path = shutil.which(self.executable)
         if path is not None:
             return path
-        raise FeatureNotPresentError(self,
-                                     reason="Executable {executable!r} not found on PATH.".format(executable=self.executable),
-                                     resolution=self.resolution())
+        raise FeatureNotPresentError(
+            self,
+            reason=f"Executable '{str(self.executable)}' not found on PATH.",
+            resolution=self.resolution(),
+        )
 
 
 class StaticFile(FileFeature):
diff --git a/src/sage/features/nauty.py b/src/sage/features/nauty.py
index 207c177971d..0b07fb2c3ed 100644
--- a/src/sage/features/nauty.py
+++ b/src/sage/features/nauty.py
@@ -11,6 +11,8 @@
 #                  https://www.gnu.org/licenses/
 # *****************************************************************************
 
+from pathlib import Path
+
 from sage.env import SAGE_NAUTY_BINS_PREFIX
 
 from . import Executable
@@ -36,10 +38,16 @@ def __init__(self, name):
             sage: isinstance(NautyExecutable('geng'), NautyExecutable)
             True
         """
+        if SAGE_NAUTY_BINS_PREFIX is None:
+            raise ValueError("SAGE_NAUTY_BINS_PREFIX is not set.")
+        if SAGE_NAUTY_BINS_PREFIX.endswith("-"):
+            executable = f"{SAGE_NAUTY_BINS_PREFIX}{name}"
+        else:
+            executable = Path(SAGE_NAUTY_BINS_PREFIX) / name
         Executable.__init__(
             self,
             name=f"nauty_{name}",
-            executable=f"{SAGE_NAUTY_BINS_PREFIX}{name}",
+            executable=executable,
             spkg="nauty",
             type="standard",
         )
diff --git a/src/sage/graphs/base/static_dense_graph.pyx b/src/sage/graphs/base/static_dense_graph.pyx
index f417b7e666c..b54a53c9545 100644
--- a/src/sage/graphs/base/static_dense_graph.pyx
+++ b/src/sage/graphs/base/static_dense_graph.pyx
@@ -612,7 +612,7 @@ def connected_full_subgraphs(G, edges_only=False, labels=False,
         raise ValueError("the input (di)graph is not connected")
 
     for d in G.degree():
-        if d >= 8 * sizeof(unsigned long) - 1:
+        if d >= 8 * sizeof(mp_limb_t) - 1:
             raise ValueError("the degree of the graph is too large for this method")
 
     cdef Py_ssize_t n = G.order()
@@ -640,7 +640,7 @@ def connected_full_subgraphs(G, edges_only=False, labels=False,
 
     cdef MemoryAllocator mem = MemoryAllocator()
     cdef int * order = <int *> mem.calloc(n, sizeof(int))
-    cdef mp_bitcnt_t * n_cpt = <mp_bitcnt_t *> mem.calloc(n, sizeof(mp_bitcnt_t))
+    cdef mp_limb_t * n_cpt = <mp_limb_t *> mem.calloc(n, sizeof(mp_limb_t))
 
     # We use several bitsets to store the current boundary and active neighbors.
     # We also need another bitset that we create at the same time
@@ -659,10 +659,10 @@ def connected_full_subgraphs(G, edges_only=False, labels=False,
     bitset_complement(active, active)
     bitset_discard(active, 0)
     bitset_copy(neighborhoods.rows[0], DG.rows[0])
-    n_cpt[0] = 1 << bitset_len(DG.rows[0])
+    n_cpt[0] = (<mp_limb_t>1) << bitset_len(DG.rows[0])
 
     cdef long u, v, j
-    cdef mp_bitcnt_t c
+    cdef mp_limb_t c
     cdef Py_ssize_t num_edges = 0
     cdef list E = []
     cdef list edges
@@ -734,7 +734,10 @@ def connected_full_subgraphs(G, edges_only=False, labels=False,
         # prepare neighborhood of u
         bitset_and(neighborhoods.rows[i], active, DG.rows[u])
         j = bitset_len(neighborhoods.rows[i])
-        n_cpt[i] = bool(j) << j  # 0 if not j else 2^j
+        if j:
+            n_cpt[i] = (<mp_limb_t>1) << j  # 2^j possible neighborhoods
+        else:
+            n_cpt[i] = 0
 
     sig_on()
     binary_matrix_free(boundaries)
diff --git a/src/sage/meson.build b/src/sage/meson.build
index d43e636a4e8..3b356cf1fdc 100644
--- a/src/sage/meson.build
+++ b/src/sage/meson.build
@@ -79,7 +79,12 @@ foreach prog : nauty_progs
     )
   endif
   if nauty_check.found()
-    nauty_bins_prefix = nauty_check.full_path().replace(prog, '')
+    nauty_bins_prefix = nauty_check.full_path().replace(prog + '.EXE', '').replace(
+      prog,
+      '',
+    ).strip(
+      '\\',
+    )
   endif
 endforeach
 conf_data.set('SAGE_NAUTY_BINS_PREFIX', nauty_bins_prefix)
diff --git a/src/sage/plot/plot3d/shapes.pyx b/src/sage/plot/plot3d/shapes.pyx
index 4acab1a14eb..66806533e7e 100644
--- a/src/sage/plot/plot3d/shapes.pyx
+++ b/src/sage/plot/plot3d/shapes.pyx
@@ -51,14 +51,14 @@ EXAMPLES::
 #                  https://www.gnu.org/licenses/
 # ****************************************************************************
 
-from libc.math cimport sqrt, sin, cos, acos, M_PI
+from libc.math cimport sqrt, sin, cos, acos
 from sage.rings.real_double import RDF
 from sage.modules.free_module_element import vector
 from sage.misc.decorators import rename_keyword
 from sage.plot.plot3d.base import Graphics3dGroup
 from sage.plot.plot3d.index_face_set cimport IndexFaceSet, PrimitiveObject
 from sage.plot.plot3d.transform cimport point_c
-
+from sage.arith.constants cimport M_PI
 
 # Helper function to check that Box input is right
 def validate_frame_size(size):
diff --git a/src/sage/rings/meson.build b/src/sage/rings/meson.build
index 743c223dcc7..e628f5ee342 100644
--- a/src/sage/rings/meson.build
+++ b/src/sage/rings/meson.build
@@ -191,7 +191,7 @@ foreach name, pyx : extension_data
   elif name == 'real_double_element_gsl'
     deps += [gsl]
   elif name == 'real_mpfi'
-    deps += [mpfi]
+    deps += [mpfi, mpfr]
   elif name == 'real_mpfr'
     deps += [gmpy2, mpfr]
   elif name == 'tate_algebra_element'
diff --git a/src/sage/stats/hmm/chmm.pyx b/src/sage/stats/hmm/chmm.pyx
index e1ed80da585..6337376a1f1 100644
--- a/src/sage/stats/hmm/chmm.pyx
+++ b/src/sage/stats/hmm/chmm.pyx
@@ -18,7 +18,8 @@ AUTHOR:
 # ***************************************************************************
 
 from cpython.object cimport PyObject_RichCompare
-from libc.math cimport log, sqrt, exp, isnormal, isfinite, M_PI
+from libc.math cimport log, sqrt, exp, isnormal, isfinite
+from sage.arith.constants cimport M_PI
 cdef double sqrt2pi = sqrt(2*M_PI)
 from cysignals.signals cimport sig_on, sig_off
 
diff --git a/subprojects/packagefiles/singular/factory/meson.build b/subprojects/packagefiles/singular/factory/meson.build
index a2b1961253e..3a28d85a05e 100644
--- a/subprojects/packagefiles/singular/factory/meson.build
+++ b/subprojects/packagefiles/singular/factory/meson.build
@@ -12,6 +12,7 @@ has_iostream_h = cpp.has_header('iostream.h')
 conf.set('NOSTREAMIO', not has_iostream_h)#, 'strstream.h', 'fstream.h', 'iostream', 'string', 'fstream', 'ctype.h'))
 conf.set('HAVE_IOSTREAM_H', has_iostream_h)
 conf.set('FACTORYVERSION', meson.project_version())
+conf.set('SIZEOF_LONG', cpp.sizeof('long'))
 factory_configuration = '@0@ in @1@'.format(meson.project_version(), meson.project_source_root())
 conf.set_quoted('FACTORYCONFIGURATION', factory_configuration)
 
diff --git a/uv.lock b/uv.lock
index b554a218d0f..549747bb0db 100644
--- a/uv.lock
+++ b/uv.lock
@@ -1,10 +1,6 @@
 version = 1
 revision = 3
-requires-python = ">=3.11, <3.14"
-resolution-markers = [
-    "python_full_version >= '3.12'",
-    "python_full_version < '3.12'",
-]
+requires-python = ">=3.12, <3.15"
 
 [[package]]
 name = "accessible-pygments"
@@ -81,26 +77,17 @@ wheels = [
     { url = "https://files.pythonhosted.org/packages/b7/b8/3fe70c75fe32afc4bb507f75563d39bc5642255d1d94f1f23604725780bf/babel-2.17.0-py3-none-any.whl", hash = "sha256:4d0b53093fdfb4b21c92b5213dba5a1b23885afa8383709427046b21c366e5f2", size = 10182537, upload-time = "2025-02-01T15:17:37.39Z" },
 ]
 
-[[package]]
-name = "backports-tarfile"
-version = "1.2.0"
-source = { registry = "https://pypi.org/simple" }
-sdist = { url = "https://files.pythonhosted.org/packages/86/72/cd9b395f25e290e633655a100af28cb253e4393396264a98bd5f5951d50f/backports_tarfile-1.2.0.tar.gz", hash = "sha256:d75e02c268746e1b8144c278978b6e98e85de6ad16f8e4b0844a154557eca991", size = 86406, upload-time = "2024-05-28T17:01:54.731Z" }
-wheels = [
-    { url = "https://files.pythonhosted.org/packages/b9/fa/123043af240e49752f1c4bd24da5053b6bd00cad78c2be53c0d1e8b975bc/backports.tarfile-1.2.0-py3-none-any.whl", hash = "sha256:77e284d754527b01fb1e6fa8a1afe577858ebe4e9dad8919e34c862cb399bc34", size = 30181, upload-time = "2024-05-28T17:01:53.112Z" },
-]
-
 [[package]]
 name = "beautifulsoup4"
-version = "4.14.2"
+version = "4.14.3"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
     { name = "soupsieve" },
     { name = "typing-extensions" },
 ]
-sdist = { url = "https://files.pythonhosted.org/packages/77/e9/df2358efd7659577435e2177bfa69cba6c33216681af51a707193dec162a/beautifulsoup4-4.14.2.tar.gz", hash = "sha256:2a98ab9f944a11acee9cc848508ec28d9228abfd522ef0fad6a02a72e0ded69e", size = 625822, upload-time = "2025-09-29T10:05:42.613Z" }
+sdist = { url = "https://files.pythonhosted.org/packages/c3/b0/1c6a16426d389813b48d95e26898aff79abbde42ad353958ad95cc8c9b21/beautifulsoup4-4.14.3.tar.gz", hash = "sha256:6292b1c5186d356bba669ef9f7f051757099565ad9ada5dd630bd9de5fa7fb86", size = 627737, upload-time = "2025-11-30T15:08:26.084Z" }
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