scipy: BUG: complex determinants broken with openblas 0.3.22

Describe your issue.

scipy.linalg.det is broken when scipy is built from source with the just-released openblas 0.3.22.

Tested on macOS x86_64.

Ref: https://github.com/sagemath/sage/pull/35371

Reproducing Code Example

>>> import numpy, scipy
>>> A = numpy.array([[1,2,4],[5,3,9],[7,8,6]], dtype='complex')
>>> A
array([[1.+0.j, 2.+0.j, 4.+0.j],
       [5.+0.j, 3.+0.j, 9.+0.j],
       [7.+0.j, 8.+0.j, 6.+0.j]])
>>> scipy.linalg.det(A)
0j      # wrong
>>> Ar = numpy.array([[1,2,4],[5,3,9],[7,8,6]], dtype='float')
>>> scipy.linalg.det(Ar)
88.0

Error message

N/A

SciPy/NumPy/Python version and system information

>>> import sys, scipy, numpy; print(scipy.__version__, numpy.__version__, sys.version_info); scipy.show_config()
1.10.1 1.24.2 sys.version_info(major=3, minor=11, micro=2, releaselevel='final', serial=0)
/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/var/lib/sage/venv-python3.11/lib/python3.11/site-packages/scipy/__config__.py:140: UserWarning: Install `pyyaml` for better output
  warnings.warn("Install `pyyaml` for better output", stacklevel=1)
{
  "Compilers": {
    "c": {
      "name": "clang",
      "linker": "ld64",
      "version": "14.0.0",
      "commands": "gcc"
    },
    "cython": {
      "name": "cython",
      "linker": "cython",
      "version": "0.29.32",
      "commands": "cython"
    },
    "c++": {
      "name": "clang",
      "linker": "ld64",
      "version": "14.0.0",
      "commands": "g++"
    },
    "fortran": {
      "name": "gcc",
      "linker": "ld64",
      "version": "12.2.0",
      "commands": "gfortran"
    },
    "pythran": {
      "version": "0.12.1",
      "include directory": "/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/var/lib/sage/venv-python3.11/lib/python3.11/site-packages/pythran"
    }
  },
  "Machine Information": {
    "host": {
      "cpu": "x86_64",
      "family": "x86_64",
      "endian": "little",
      "system": "darwin"
    },
    "build": {
      "cpu": "x86_64",
      "family": "x86_64",
      "endian": "little",
      "system": "darwin"
    },
    "cross-compiled": false
  },
  "Build Dependencies": {
    "blas": {
      "name": "openblas",
      "found": true,
      "version": "0.3.22",
      "detection method": "pkgconfig",
      "include directory": "/usr/local/Cellar/openblas/0.3.22/include",
      "lib directory": "/usr/local/Cellar/openblas/0.3.22/lib",
      "openblas configuration": "USE_64BITINT= DYNAMIC_ARCH=1 DYNAMIC_OLDER= NO_CBLAS= NO_LAPACK= NO_LAPACKE= NO_AFFINITY=1 USE_OPENMP=1 NEHALEM MAX_THREADS=56",
      "pc file directory": "/usr/local/opt/openblas/lib/pkgconfig"
    },
    "lapack": {
      "name": "openblas",
      "found": true,
      "version": "0.3.22",
      "detection method": "pkgconfig",
      "include directory": "/usr/local/Cellar/openblas/0.3.22/include",
      "lib directory": "/usr/local/Cellar/openblas/0.3.22/lib",
      "openblas configuration": "USE_64BITINT= DYNAMIC_ARCH=1 DYNAMIC_OLDER= NO_CBLAS= NO_LAPACK= NO_LAPACKE= NO_AFFINITY=1 USE_OPENMP=1 NEHALEM MAX_THREADS=56",
      "pc file directory": "/usr/local/opt/openblas/lib/pkgconfig"
    }
  },
  "Python Information": {
    "path": "/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/var/lib/sage/venv-python3.11/bin/python3",
    "version": "3.11"
  }
}