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The signature of a number field $K$ is the pair $[r_1,r_2]$ where $r_1$ is the number of real embeddings of $K$ and $r_2$ is the number of conjugate pairs of complex embeddings.

The degree of $K$ is $r_1+2r_2$.

Knowl status:
  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2018-09-29 16:49:23
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