Changes between Version 13 and Version 25 of Ticket #9334


Ignore:
Timestamp:
12/08/10 09:57:51 (9 years ago)
Author:
mstreng
Comment:

All that needed to be done was wrap pari's nfhilbert function and copy Aly's doctests, but...

One of those doctests revealed yet another bug introduced by the pari upgrade. See http://pari.math.u-bordeaux.fr/cgi-bin/bugreport.cgi?bug=1147

Apply trac_9334_nfhilbert.patch once pari bug 1147 is fixed and that fix reaches Sage.

Possible future improvements:

  • implement also for relative number fields by simply delegating to the absolute case
  • implement also for QQ by wrapping the global function hilbert_symbol as a member of QQ

Legend:

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  • Ticket #9334

    • Property Work issues changed from ReST formatting issues, and more to bug in Pari 2.4.3
    • Property Authors changed from aly.deines to Aly Deines, Marco Streng
    • Property Reviewers changed from David Loeffler, John Cremona to David Loeffler, John Cremona, Marco Streng
  • Ticket #9334 – Description

    v13 v25  
    1 Hilbert symbol over number fields may be implemented using an algorithm described in John Voigt's paper "Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms".
     1Pari has Hilbert symbols for number fields. Hilbert symbols can be implemented by wrapping pari's function `nfhilbert`.