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`.