#20726: Change default algorithm for computing homology to 'pari'
----------------------------------+---------------------------------
   Reporter:  jhpalmieri          |            Owner:
       Type:  enhancement         |           Status:  new
   Priority:  major               |        Milestone:  sage-7.3
  Component:  algebraic topology  |         Keywords:
  Merged in:                      |          Authors:  John Palmieri
  Reviewers:                      |  Report Upstream:  N/A
Work issues:                      |           Branch:
     Commit:                      |     Dependencies:  #20723
   Stopgaps:                      |
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 In recent tests, using pari is faster than Sage's current default
 algorithm for computing homology groups of chain complexes. For example:
 {{{
 sage: %timeit simplicial_complexes.RandomComplex(12,
 4).chain_complex().homology(algorithm='auto')
 1 loop, best of 3: 7.84 s per loop
 sage: %timeit simplicial_complexes.RandomComplex(12,
 4).chain_complex().homology(algorithm='pari')
 1 loop, best of 3: 1.11 s per loop
 }}}
 So change the default setting for the keyword `algorithm` from `'auto'` to
 `'pari'`.

--
Ticket URL: <http://trac.sagemath.org/ticket/20726>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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