The ordered pair 
,
where 
is the number of real embeddings of the number field
and 
is the number of complex-conjugate pairs of embeddings. The degree of the number
field is 
.
Number Field Signature
See also
Fundamental Unit, Number Field, UnitThis entry contributed by Kevin O'Bryant
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References
Cohen, H. A Course in Computational Algebraic Number Theory, 3rd. corr. ed. New York: Springer-Verlag, 1996.Referenced on Wolfram|Alpha
Number Field SignatureCite this as:
O'Bryant, Kevin. "Number Field Signature." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/NumberFieldSignature.html