There are Parms for that...
Discovering the Parm name and group for things can be a challenge. There are a couple of tricks that help with this.
First, in the GUI, the label for most Parm controls (like a slider or a box) is actually a button. If you click the button, a window will pop up that gives you some details about the Parm. This includes the name and group.
However, this only works for Parms that have that kind of button -- some (like T/B Sym) are toggled by a button themselves, so that doesn't always work. Also, some are sometimes more subtle, like all the checkboxes in Skinning.
So, for those, I recommend a slightly roundabout discovery process. First, open the 'Design Variables' GUI from the Model menu. This lets you pick certain variables to control from a simplified file. It also provides a lightweight way to play with variables. There is a Parm chooser GUI where you have pull-down menus for the Container, Group, and Parm name. You can explore through this to find what you need. However, there is an even easier way.
If you go back and find a Parm 'near' to what you think you need -- say the skinning Angle. Click on the label button -- but this time, click and drag to the Design Variables GUI. When you drop it in that GUI, it will add it as a design variable - without the hassle of navigating through all the menus. Then, click on the recently added variable. It will set the pull-downs to match. Now you can click the Parm list and you will immediately see a list of Parms in the same group as the one you chose. For skinning, that group looks like the attached image.
The Symmetry controlling Parms are AllSym, RLSym, TBSym - they correspond predictably to the buttons in the GUI. You can turn them all to off (0) to have full control of all four curves. Or, turn them all on to only need to set one curve.
TopLAngleSet, TopRAngleSet and TopLRAngleEq have obvious purposes once you know they're there. In general, things should make sense once you get to this level of discovery.
In general, setting skinning from the API is a real pain -- I suggest you do this sort of thing from the GUI and then simply pick out which Parms you want to adjust, but always work from a baseline file that was set up interactively the easy way.
Rob