Two theories ...

1. It was a blank piece of paper that he's whiling away the hours (days ...) by designing a computer system of some sort.

2. It's the circuitry for the running log, supplied to him by Raiker as part of the dump-the-prisoners plan ... though he's thought better of it, he keeps the paper [a] to keep Raiker et al uncertain as to his intent, and [b] as a sort of talisman ("Maybe I could still do this ...")

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