Not even organise / coordinate, that's not the most important thing that I get from the best manager, actually that's the easy part.

The best managers I had were helping me debug things when I get stuck. When there's a seg fault in a multithreaded program, or the project just doesn't seem to go anywhere for some time because I don't really know what to do or I'm going in a bad direction with my local improvements, somebody more mature than me / person with more experience just knows what to do.