Please follow the manufacturer's documentation:
until you get your zoom, and optionally the focus encoders connected and assigned to the slots of your choice in the LONET software.
No mapping is needed
You do not have to create any lens mapping within LONET, since assigning the different encoder positions to focal lengths and several other lens parameters are done in Aximmetry's own Camera Calibrator.
Defining Aximmetry zoom device
Go to Manage Devices in Aximmetry. This can be reached from the Startup Configuration of either Aximmetry Composer or Aximmetry Camera Calibrator.
Alternatively, if you've already started Aximmetry Composer, you can modify the device setup any time by choosing Edit menu / Manage Devices.
Find the Lonet device type and click Add.
Leave Hostname on default if LONET server is running on the same PC. Otherwise, specify the other PC's IP address or name. The Port number has to be identical to the one you selected in the LONET software, usually it's the default.
Specify the slots you have chosen in the LONET software for the Zoom and Focus encoders.
Click OK. This adds the device to the list. As can see, one Aximmetry device stands for a zoom+focus pair of encoders. You can define further encoder pairs if you have multiple cameras.
In order to get any encoder hardware to work in Aximmetry, you have to go through a lens calibration procedure for your camera. Please consult this documentation.
In Camera Calibrator. Specify the newly defined device as the Zoom Device, and set Tracking Device to whichever system you use for camera position tracking.
Using the encoders in a scene
When you specify the inputs of your scene with TrackedCam, specify the Lonet device as the Zoom Device, select the lens file you created with Camera Calibrator in Tracking Mode, and set Tracking Device to whichever system you use for camera position tracking.