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Extended Sage examples

I'm trying to learn how to use Sage to do algebraic number theory. I've read the thematic tutorials that seem related, but they are pretty bare-bones. The documentation seems to be pretty much a list of methods; I haven't found a higher-level view of what concepts are implemented and how they can be used. Are there any meatier extended examples that are available? Or is there documentation that I'm missing? (So, for example, how would I go about finding in the documentation the answer to "is the square root of two in the field K that I just defined"?)