Have these doctest errors on OS X been reported? env.py and 
limit_valuation.py:

src/bin/sage -t --long --warn-long 30.0 
--random-seed=98448027346439960956059533789739743147 src/sage/env.py
**********************************************************************
File "src/sage/env.py", line 365, in sage.env.cython_aliases
Failed example:
    cython(                                               # optional - 
sage.misc.cython
    '''
    #distutils: extra_compile_args = OPENMP_CFLAGS
    #distutils: extra_link_args = OPENMP_CFLAGS
    from cython.parallel import prange

    cdef int i
    cdef int n = 30
    cdef int sum = 0

    for i in prange(n, num_threads=4, nogil=True):
        sum += i

    print(sum)
    ''')
Exception raised:
    Traceback (most recent call last):
      File 
"/Users/palmieri/Sage/TESTING/sage-10.9.beta5/local/var/lib/sage/venv-python3.14/lib/python3.14/site-packages/setuptools/_distutils/spawn.py",
 
line 87, in spawn
        subprocess.check_call(cmd, env=_inject_macos_ver(env))
        ~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
      File 
"/opt/homebrew/Cellar/[email protected]/3.14.2_1/Frameworks/Python.framework/Versions/3.14/lib/python3.14/subprocess.py",
 
line 419, in check_call
        raise CalledProcessError(retcode, cmd)
    subprocess.CalledProcessError: Command '['/usr/bin/gcc', 
'-fno-strict-overflow', '-Wsign-compare', '-Wunreachable-code', 
'-fno-common', '-dynamic', '-DNDEBUG', '-g', '-O3', '-Wall', 
'-I/Users/palmieri/Sage/TESTING/sage-10.9.beta5', 
'-I/Users/palmieri/Sage/TESTING/sage-10.9.beta5/src', 
'-I/Users/palmieri/Sage/TESTING/sage-10.9.beta5/build/sage-distro/src', 
'-I/Users/palmieri/Sage/TESTING/sage-10.9.beta5/local/var/lib/sage/venv-python3.14/include',
 
'-I/opt/homebrew/opt/[email protected]/Frameworks/Python.framework/Versions/3.14/include/python3.14',
 
'-c', 
'/var/folders/z6/yjw_7s357yx3_mhh81__lplc0000gn/T/sage_zm6m0_lc/spyx_3zdiwgte/_var_folders_z6_yjw_7s357yx3_mhh81__lplc0000gn_T_sage_zm6m0_lc_tmp_hcvmfeqs_pyx/_var_folders_z6_yjw_7s357yx3_mhh81__lplc0000gn_T_sage_zm6m0_lc_tmp_hcvmfeqs_pyx_0.c',
 
'-o', 
'/var/folders/z6/yjw_7s357yx3_mhh81__lplc0000gn/T/sage_zm6m0_lc/spyx_3zdiwgte/_var_folders_z6_yjw_7s357yx3_mhh81__lplc0000gn_T_sage_zm6m0_lc_tmp_hcvmfeqs_pyx/build/temp.macosx-26.0-arm64-cpython-314/var/folders/z6/yjw_7s357yx3_mhh81__lplc0000gn/T/sage_zm6m0_lc/spyx_3zdiwgte/_var_folders_z6_yjw_7s357yx3_mhh81__lplc0000gn_T_sage_zm6m0_lc_tmp_hcvmfeqs_pyx/_var_folders_z6_yjw_7s357yx3_mhh81__lplc0000gn_T_sage_zm6m0_lc_tmp_hcvmfeqs_pyx_0.o',
 
'-fopenmp', '-w']' returned non-zero exit status 1.


     [snip]


      File "sage/misc/lazy_import.pyx", line 413, in 
sage.misc.lazy_import.LazyImport.__call__
      File 
"/Users/palmieri/Sage/TESTING/sage-10.9.beta5/src/sage/misc/cython.py", 
line 730, in cython_compile
        return cython_import_all(tmpfile, get_globals(), **kwds)
      File 
"/Users/palmieri/Sage/TESTING/sage-10.9.beta5/src/sage/misc/cython.py", 
line 616, in cython_import_all
        m = cython_import(filename, **kwds)
      File 
"/Users/palmieri/Sage/TESTING/sage-10.9.beta5/src/sage/misc/cython.py", 
line 584, in cython_import
        name, build_dir = cython(filename, **kwds)
                          ~~~~~~^^^^^^^^^^^^^^^^^^
      File 
"/Users/palmieri/Sage/TESTING/sage-10.9.beta5/src/sage/misc/cython.py", 
line 463, in cython
        raise RuntimeError(msg.strip())
    RuntimeError: command '/usr/bin/gcc' failed with exit code 1
    clang: error: unsupported option '-fopenmp'
**********************************************************************






src/bin/sage -t --long --warn-long 30.0 
--random-seed=98448027346439960956059533789739743147 
src/sage/rings/valuation/limit_valuation.py
**********************************************************************
File "src/sage/rings/valuation/limit_valuation.py", line 680, in 
sage.rings.valuation.limit_valuation.MacLaneLimitValuation._ge_
Failed example:
    valuations.LimitValuation(V[0], F) >= valuations.LimitValuation(V[1], F)
Exception raised:
    Traceback (most recent call last):
      File 
"/Users/palmieri/Sage/TESTING/sage-10.9.beta5/src/sage/doctest/forker.py", 
line 734, in _run
        self.compile_and_execute(example, compiler, test.globs)
        ~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
      File 
"/Users/palmieri/Sage/TESTING/sage-10.9.beta5/src/sage/doctest/forker.py", 
line 1158, in compile_and_execute
        exec(compiled, globs)
        ~~~~^^^^^^^^^^^^^^^^^
      File "<doctest 
sage.rings.valuation.limit_valuation.MacLaneLimitValuation._ge_[4]>", line 
1, in <module>
        valuations.LimitValuation(V[Integer(0)], F) >= 
valuations.LimitValuation(V[Integer(1)], F)
      File "sage/structure/element.pyx", line 1101, in 
sage.structure.element.Element.__richcmp__
      File "sage/categories/morphism.pyx", line 351, in 
sage.categories.morphism.Morphism._richcmp_
      File 
"/Users/palmieri/Sage/TESTING/sage-10.9.beta5/src/sage/rings/valuation/valuation.py",
 
line 187, in _richcmp_
        return self._ge_(other)
               ~~~~~~~~~^^^^^^^
      File 
"/Users/palmieri/Sage/TESTING/sage-10.9.beta5/src/sage/rings/valuation/limit_valuation.py",
 
line 701, in _ge_
        assert self._G.gcd(other._G).is_one()
               ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^
    AssertionError
**********************************************************************


On Sunday, February 1, 2026 at 3:49:58 PM UTC-8 Volker Braun wrote:

> As always, you can get the latest beta version from the "develop" git 
> branch. Alternatively, the self-contained source tarball is at 
> http://www.sagemath.org/download-latest.html
>
>
> 5473e598ac6 (tag: 10.9.beta5, github/develop) Updated SageMath version to 
> 10.9.beta5
> fba50d38ff8 gh-41553: fix the error message in #41502
> 980f51eedc7 gh-41561: fix doctest warning in 
> `src/sage/rings/finite_rings/element_base.pyx`
> 169d9cefac6 gh-41551: Permutation return types
> 914f81e83a2 gh-41546: fix issue in `to_bytes()` for finite fields
> affbd958d62 gh-41542: Deprec after 38184
> fb101341865 gh-41541: typing in finite_state_machine generators
> 12210297d3a gh-41536: fix issue #41533
> 4990f435df0 gh-41534: fix relabelling of constellations
> 31e2c71c0bd gh-41529: fix .inverse_image() returning the zero element on 
> the wrong curve
> 5eaad8d9c25 gh-41526: build/pkgs/m4ri: update to 20260122
> bf241e6b5db gh-41524: Fix typo in developer docs for ruff, clearer wording
> 1e65633b662 gh-41522: Add missing files to documentation
> 192ba67c052 gh-41519: some cleanup in isogeny_small_degree.py
> 7716f6f7b90 gh-41517: remove deprecated stuff in modular
> fcd93cf6070 gh-41516: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 11)
> 51435787b5b gh-41515: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 10)
> 3853a4c7afc gh-41512: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 8)
> 767b6882c15 gh-41511: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 7)
> 33f7586138c gh-41510: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 6)
> cb76b69bdac gh-41509: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 5)
> ecca4a31ea0 gh-41508: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 4)
> 4ecd80808a8 gh-41507: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 3)
> cfc82d7b089 gh-41506: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 2)
> 329c2454f1f gh-41505: some typing annotations in rings/
> ef174cdc989 gh-41502: Fix as_sum_of_permutations over inexact rings
> 0843c3e7709 gh-41501: add parameter immutable to graph generators in 
> `smallgraphs.py` (part 1)
> f81ddc2abc4 gh-41493: add parameter immutable to 
> `(bi_|strongly_)connected_components_subgraphs`
> 5064c70e1b2 gh-41471: add parameter immutable to graph generators in 
> families.py (part 3)
> 10c194b67a0 gh-41470: add parameter immutable to graph generators in 
> families.py (part 2)
> 889e5ba0b50 gh-41467: add parameter immutable to graph generators in 
> families.py (part 1)
> 2f1ddd563cc gh-41458: improvement of method vertex_separation_BAB
> 40487c8d433 gh-41456: adding two useful methods to lattice polytopes
> e795c97ab71 gh-41422: Fix some formatting details
> 55cead329b8 gh-41404: Remove outdated `needs 
> sage.rings.real_interval_field ` annotations
> 19cfe8e8ebd gh-41289: Distinguish between base and A_field for Drinfeld 
> modules
> d4948b933bf gh-41197: Prevent order mismatch in words function
> 4f966ca336e gh-40965: Add parameter `forbidden vertices` to methods 
> related to biconnected components
> 8670503adb2 gh-39947: add parameter immutable to methods in 
> `src/sage/graphs/graph_decompositions/randwidth.pyx|vertex_separation.pyx`
> 28a7d0422ba (tag: 10.9.beta4) Updated SageMath version to 10.9.beta4
>
>
>

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