Why doesn't C# Process RedirectStandardInput work with python.exe?

Question

Python

Hello. Why is this example

ProcessStartInfo info=new ProcessStartInfo("python");
            info.RedirectStandardOutput = true;
            info.RedirectStandardInput = true;
            info.RedirectStandardError = true;
            info.UseShellExecute = false;
            //info.CreateNoWindow = true;
            Process process=new Process();
            process.OutputDataReceived += (s, e) =>
            {
                Console.WriteLine($"Output:{e.Data}");
            };
            process.ErrorDataReceived += (s, e) =>
            {
                Console.WriteLine($"Error:{e.Data}");
            };

            process.StartInfo = info;
            process.Start();
            process.BeginErrorReadLine();
            process.BeginOutputReadLine();

            while (!process.HasExited)
            {
                Console.Write("Command:");
                var line= Console.ReadLine();
                process.StandardInput.WriteLine(line);
                process.StandardInput.Flush();
            }
            Console.WriteLine("Done");
            Console.ReadLine();

causes no data to come from the python process at all.
If you turn off RedirectStandardInput , then data comes in, but accordingly, there is no way to send commands from the parent thread, except by hand.
At the same time, if I do not start the python process, but for example just cmd , then everything works as it should.
Thanks in advance

PS
If IronPython doesn't fit, you need Python support from 3.7, and IronPython is now only 3.4 and then alpha