There's nothing "simply" here. The weights in question are a particular configuration of several gigabytes worth of data. They're not random. Getting anything comparable by randomly generating a number this long is a "total atoms in the universe to the power of total atoms in the universe" kind of a deal.
In abstract terms, those weights are by far the most dense form of meaning we've ever dealt with.
In abstract terms, those weights are by far the most dense form of meaning we've ever dealt with.