Integral bases for quadratic fields

Hi,

I was wondering if you could just clarify how you determine O_K. In most quadratic examples it seems to be Z(\sqrt{n}), however in some it is Z((1+\sqrt{n}/2)). I think it must have something to do with the integral basis?

Thanks for your help.

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I refer you to lecture 11 in the online notes. You should review this material thoroughly.

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