There was some kind of power source on that alien ship that you were telepathically receptive to. When the teleport failed, you were able to use that source to get yourself out, and to get Avon and Vila out with you.
Cally (sarcastically): I seem to be more clever than I thought I was!
Tarrant (to Avon): When you found me on the Liberator, it was quite a blow. And every time you look at me it hits you harder, doesn't it? I'm faster than you and I'm sharper. As far as it goes, I've made a success of my life. But you? The only big thing you ever tried to do you failed at. The greatest computer swindle of all time… but you couldn't quite pull it off, could you? If it hadn't been for Blake you'd be rotting on Cygnus Alpha right now. No, you failed, Avon. But I win. Not just at games. At life.
I thought you were the clever one. You're a fool, like Tarrant! The pain Tarrant is experiencing ... visualise that pain and much more. You're as close to death as you have ever been. Think about human death, Avon, irrevocable...
AAvon
I have thought about it, what's keeping you?
ACAlien/Cally
What did you say?
AAvon
You claim you can kill me. You'd better get on with it. Make me die. There's nothing else you can make me do.
You'll be telling us next 'We can learn a lot from whoever built it'
AAvon
Well we certainly have nothing to teach them unless it's how to remain ignorant. What do you think Cally? Shall we stay and observe or shall we scuttle off with our closed minds intact?
Quite simple. With a series of random and illogical brain impulses. The planet was programmed to assimilate orderly coherent thought patterns. Anything else confused it.
Oh, come on, Avon. Look, we've been through a lot together. We've always been at risk; we've always taken chances. But we've survived because we worked as a team. So what is it you have to do that makes this so different?
AAvon
This happens to be my problem. None of you are involved.
But we are involved. However much you like to pretend you're a loner, you're not really. We depend on each other; I wouldn't be alive now if it wasn't for you, and I'm sure that's true of everybody else. So why not trust us?