The Last Digit of π

Soldier Gamma Xi 905107 lives in a rather dystopian future world, where all people are connected to the Unanimity - an AI expressing the will of the united humanity. After some strange event (which she at first does not understand, and then misunderstands) Gamma comes to her senses in an unfamiliar world, reminiscent of the Middle Ages, where technology is considered magic and the inhabitants in general do not even know how to read. The world of "magic carriages" at first seems amusing to the heroine, but she quickly realizes that there is little funny here: this is an even harsher dystopia than the world from which she came here, a world of dictatorship, where someone is deliberately trying to cut people off from any knowledge, not disdaining the bloodiest measures. Trying to figure out how everything works here and wanting to return home, the main character finds herself drawn into political intrigues on an increasingly large scale and eventually discovers that everything is not as she thought, and that she herself is not the person she initially considered herself to be.