#9334: Implement Hilbert symbols over number fields
----------------------------------------------------------+-----------------
Reporter: aly.deines | Owner:
davidloeffler
Type: enhancement | Status:
needs_work
Priority: major | Milestone:
sage-5.0
Component: number fields | Keywords:
hilbert symbol
Author: aly.deines | Upstream: N/A
Reviewer: David Loeffler, John Cremona, Marco Streng | Merged:
Work_issues: ReST formatting issues, and more |
----------------------------------------------------------+-----------------
Changes (by mstreng):
* reviewer: David Loeffler, John Cremona => David Loeffler, John
Cremona, Marco Streng
Comment:
here's a non-documentation reason for `needs_work`:
{{{
sage: K.<i> = QuadraticField(-1)
sage: O = K.maximal_order()
sage: generalized_hilbert_symbol(K(-1/3), K(-2/3), (1+i)*O)
...
ValueError: self is not a square root mod P^n
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9334#comment:22>
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