Laser and kinetic weapons are no problem at all. They can hit that shield all day and never get anywhere. Even the Dwarg Master's Cnidocyst "EMP" cannon struggles in trying to bring it down. And you know how fast those wicked nodules are!
The Ares turrets (positron) will take it down about 1/3 per hit, but their fire rate is pretty slow so use tactics by having an ICX to greatly help counter them. It also buys a little time for the shield to regen back to full strength if it takes a hit. If no ICX, use common sense and hit those turrets from a distance and then move in to finish the kill.
Actually, besides the Iocrym, one of the biggest threats to that shield are..... Ferians! Two back-to-back direct hits from those plasma torches can easily fry the shield. But then, 90% of the shields in the game (available to the player) will easily fall to those plasma torches anyway. Only difference here is the disabling bit with the Invincible-Class.
Another big threat to the Invincible is the CyberDeck Lowershields. So again, use common sense and hit those Citadels and Earth Slaver's from a distance (CD Lowerhields have limited range).
So in a nutshell, by understanding the shields strengths and weaknesses and get to know it real well, have powerful weapons and counter measures and use common sense and proper tactics--you can-go-all-the-way to Heretic while using the Invincible-Class shield.
I've done it and so have a few others here.
You work very well together.
