The fields I've marked above (n, e, d, p, q) refer to the
        similarly-named terms in the RSA FAQ description of "how RSA
        works" (quoted below).  Can someone tell me what the fields
        "exponent1", "exponent2" and "coefficient" are, and how they
        fit in to the math calculation for the keys?

These are used in optimized RSA implementations to do secret key
operations with the Chinese remainder theorem.  You calculate 
x**d mod n by finding the residues mod p and q separately and
then combining them into the residue mod n.  The extra fields
are numbers computed from p and q that help with this calculation.
Look in a math book (Knuth vol. 2 for example) under "Garner's
algorithm" for more info.
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