Phil,
If you are having access issues, the AMA guy you need to talk to is Chris Savage. I had problems with the new website being incompatible with my setup and he got me going again. He was both patient, and sincerely wanted to help me out. In my case, he found that there is a bug in the code that would not allow me access thru Internet Explorer and I had to use Google Chrome. After that, Chris checked my password (he reset things) and I was good to go. (In my defense, I
was using a current and correct password. So for all the IT guys out there that would like to vent about careless users, keep that rant ready for a suitable case. There is sure to be one somewhere....)
If you find you can get in, then the link to the General Control Line rules is:
https://www.modelaircraft.org/events/competition-resources/competition-regulationsLine sizes are deferred to the individual event rules. Assuming you are talking PA (stunt) and sport flying.
https://www.modelaircraft.org/sites/default/files/CL%20Precision%20Aerobatics%202019-2020.pdfI'll go pull some info off the rulebook (I just happened to have it open already) and post for you.
Note that if you have a World-Beater that is in the 50 to 64 oz. range, while the rule may allow you to fly on multistranded cable of .015" diameter, you may want to go read a thread here on the 'hanger that discusses the inadvisability of doing so at the upper weight range in anything but calm conditions. It also covered the issue of control feel due to line stretch with the smaller lines.
Finally, I'll mention that the aircraft weight is sans fuel for IC powered systems, and
with battery for electron pushers. Not sure which you are enquiring about, so there you have it both ways.
Dave