Planet Rasputin

Earth in the shallows of the 22nd Century where viable tokamaks have liberated all [well, most]. On the face of things, Slovenia is part of an alliance of predominantly anarcho-communist nations, but in truth it's been co-opted by Potočnik, a crypto-tyrant with purple eyes. He dumps Sila, his friend Chu, his ex-friend Gašper, the physicist Nakagami, the militant Aleša and five other dissidents on a [prototype] ship and sends them off on a Mission of Progress; to develop a potential base on Mars. The ship has strict rules: No out-going messages, no inter-crew communication longer than four hours each day, and no entertainment. Can Sila & co. convince the ships AI to turn the ship round and ram bridge-first into Potočnik's HQ? Will Rasputin turn up at some point?