What’s the name of Morpheus' hovercraft in The Matrix?

I’ve watched The Matrix at least a dozen times now, but I’m only just now questioning why they all fly around in those admittedly cool hovercrafts. I mean, do they need to be flying around to jack into the Matrix or something? Why don’t they just all stay in the city where there aren’t those creepy squid machines flying around?

After Neo wakes up in that nasty pod of pink goo and is plucked out of the water like a toy in a crane game, he meets Morpheus and the crew for the first time in the real-real world to start his training to save humanity. After a day in those cramped hallways eating that white gooey food, I might’ve started to regret taking the red pill.

They only say the name of their ship once or twice, and boy is it a mouthful, but can you recall what it is?