Laser control line thickness?

I pretty much echo the consensus of the other replies.
Just for clarity, in the original post; the primary line is the first part of the control system and is under the greatest strain. The part that you handle and cleat is the secondary line.
I couldn't tell you which brand of secondary line I'm currently using, but they are Dyneema core with Polyester outer. Strength and low stretch in the core and good handling, cleating and lower abrasion with the polyester outer. 4mm cunningham and outhaul, Kicker 5mm with a plastic loop handle over for comfort/handling.
I always tie the cunningham & outhaul loose ends together (grab one, and you've got both). The loose ends tied together help keep tangles at bay.
I would only use naked Dyneema for the primary lines and the traveller which is pretty much a static line anyway.

I can make a better quality race pack cheaper than laser, rooster or any other decent competitor sell.

You can make bigger performance gains with altering foils and working on the hull of a laser, still class legal, than you will by changing rope.

Good rope means less expense replacing, more effective control and that you can trust your gear not to fail.

I also have an excellent traveller. My first part control lines are far superior too. Now using sk99 high modulus dynes a on the vang.

Testing showed that of three first parts on the vang, d12 stretched 70mm, sk90 20mm and sk 99 only 2.5mm... That was after a 20 minute sail in a force 4 breeze at Weymouth.

We've done the research and proven what works best.

Over the last four years I have spent hours with Jon Emmett perfecting the Laser race kit ropes. We decided that 4mm sk 78 control lines work best. The best manufacturer by far is Maffioli.

If anyone would like one of my race kits email me.

Gareth@thenottinghillriggingco.com

I don't understand what you mean by cover mate, the standard control lines I mentioned earlier have dynemma cores.  If you buy d12 there is no coating so to speak,  if you watch the Marlow or rooster splicing videos you will understand how it works a bit more I would suggest.