So I have my brand new invention matrices ready to go, what's next?

Well actually there's just one technology that leads on from Invention Matrix here, and that's Technology Progression III. I could alternatively spend time working on other technologies, but this is the one which unlocks Expert Colonisation, which will allow me to research the advanced colonisation techs and make full use of some worlds.
Meanwhile the Iconians and Altarians sign peace treaties with the Drengin. Could this be a new era of peace for the galaxy?

Well, definitely not for the I-League anyway:

The Arceans now have the largest number of colonies... next to the Terran Alliance, of course.
Sadly, it seems that peace was not to be, a scant couple of weeks after the peace treaty, hostilities between the Altarians and Drengin erupt again, and the Iconians declare war on the Drengin again:

Random event time!

I guess with it having been eleven years the archaeologists were bound to unearth one eventually.
Here's the intel report on the Ranger:

As you can see, it doesn't have the ridiculous triple-figure stats you would expect. The mod changes the weapons and defences loadout quite a bit. It's still immensely powerful at the current stage of weapons development, though.
But wait! There's more...

Well finally the Torians have a military. They only have one ship, but against a squadron of Drengin missile boats, my money's still going to be on the Ranger.
I complete my research, adding a few Invention Matrices to my planets along the way:

Still, I don't quite have what you would call end-game research output. I sure wouldn't like to try slogging through Ultimate Space Weapons (that's almost five years of research) until I have more facilities. Right now though, I need to be able to make better use of the planets I do have, since not all of my worlds are necessarily going to be doing research.