Unpacking: We create C from R by adjoining the roots of x^2 + 1 = 0. This has two roots. Pick one, call it i, then the other is -i ...
I was going to say to @drossbucket last night that “I think there was a picture and if you get the picture you get the idea,” and >
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I think the mental picture of the two lattices being upside-down from each other is what I was failing to remember
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Also I have an (inaccurate but helpful) picture of the extensions lattice rising in a third dimension from a 2D base field
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