In Turn I think the left and right arrow may be default for the Z, thats what I use. If its not default then its easy enough to set up, just go to Config menu then down to Hotkeys, in there presse on the Z++ and a box will pop up asking you to select a key, press the right arrow and it will be set, do the same for the Z--.
The X Axis on my lathe is the up and down arrows, again whether this is default I am not sure but easy to set up as detailed above for the Z.
Hood