Clean install failed on Python 3.9

[raffaeler]

Windows 10 machine. with no Python stuff was installed.

• downloaded and installed Python 3.9 x64 to the local profile.
• the environment is correct (where utility reports only the 3.9)
• no other python packages installed before starting with jupyter
• Jupyter installed with pip install jupyterlab
• I followed the install instructions as for https://jupyter.org/install.html

h:\>jupyter-lab
'jupyter-lab' is not recognized as an internal or external command,
operable program or batch file.

But jupyter is correctly installed:

h:\>jupyter
usage: jupyter [-h] [--version] [--config-dir] [--data-dir] [--runtime-dir] [--paths] [--json] [--debug] [subcommand]
jupyter: error: one of the arguments --version subcommand --config-dir --data-dir --runtime-dir --paths is required

I then tried the notebook stuff by installing pip install notebook, but it doesn't work

h:\>jupyter notebook
Traceback (most recent call last):
  File "c:\users\raffaeler\appdata\local\programs\python\python39\lib\runpy.py", line 197, in _run_module_as_main
    return _run_code(code, main_globals, None,
  File "c:\users\raffaeler\appdata\local\programs\python\python39\lib\runpy.py", line 87, in _run_code
    exec(code, run_globals)
  File "C:\Users\raffaeler\AppData\Local\Programs\Python\Python39\Scripts\jupyter-notebook.EXE\__main__.py", line 4, in <module>
  File "c:\users\raffaeler\appdata\local\programs\python\python39\lib\site-packages\notebook\notebookapp.py", line 49, in <module>
    from zmq.eventloop import ioloop
  File "c:\users\raffaeler\appdata\local\programs\python\python39\lib\site-packages\zmq\__init__.py", line 125, in <module>
    from zmq import backend
  File "c:\users\raffaeler\appdata\local\programs\python\python39\lib\site-packages\zmq\backend\__init__.py", line 32, in <module>
    raise original_error from None
  File "c:\users\raffaeler\appdata\local\programs\python\python39\lib\site-packages\zmq\backend\__init__.py", line 27, in <module>
    _ns = select_backend(first)
  File "c:\users\raffaeler\appdata\local\programs\python\python39\lib\site-packages\zmq\backend\select.py", line 32, in select_backend
    mod = import_module(name)
  File "c:\users\raffaeler\appdata\local\programs\python\python39\lib\importlib\__init__.py", line 127, in import_module
    return _bootstrap._gcd_import(name[level:], package, level)
  File "c:\users\raffaeler\appdata\local\programs\python\python39\lib\site-packages\zmq\backend\cython\__init__.py", line 6, in <module>
    from . import (
ImportError: cannot import name 'constants' from partially initialized module 'zmq.backend.cython' (most likely due to a circular import) (c:\users\raffaeler\appdata\local\programs\python\python39\lib\site-packages\zmq\backend\cython\__init__.py)