The fastest you can propel your ship to is 31. There are however 2 circumstances where you can go faster.
1/ Tractor fast drones to push you (or pull if they are going to a target you want to reach)
2/ Dive into a black hole.
Yes you can do both at once and then use the black hole to "sweep" the tractored drones.
![Wink ;)](http://www.dynaverse.net/forum/Smileys/NewSmilies/wink.gif)
I've used both. Droners hate it when they see you going so fast their drones can't catch you.
Note: You CANNOT tractor probes, photons or plasma torpedoes to pull you to higher speeds. I've tried. I thought it would be funny to "warp" into battle almost immediately and scare the heck out of my opponents
![Smiley :)](http://www.dynaverse.net/forum/Smileys/NewSmilies/smiley.gif)
but it didn't work.