You can finish the game by taking the following steps. 

Get the Crystal Orb
SYSTEM 132,165 - Planet 1 - 46N x 12E.

This is the Veloxi homeworld and is protected by heavily armed drones.  Instead of trying to waste them, answer YES if the number they give you is a multiple of 6.

Get the Crystal Cone
SYSTEM 20,198 - Planet one - 29S x 55W

This is in a sector where the enemies have plasma weapons, so as soon as you get the cone, get the hell out by sending a distress signal.  Otherwise a whole fleet of ships will waste you as soon as you leave the system, no matter how well equipped you are.

Get the Black Egg bomb
SYSTEM 234,20 - Planet two - 35S x 99E

You need this bomb to waste the crystal planet.

Nuke the Crystal Planet
SYSTEM 192,152

The crystal cone should identify the nexus of the planet as a flashing dot.  Land on it and use the tank to drop the bomb.  Take off and watch the fireworks.
