#14350: Implement multiplicative inverses of cycle index series
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       Reporter:  agd                   |         Owner:  agd         
           Type:  enhancement           |        Status:  needs_review
       Priority:  major                 |     Milestone:  sage-5.10   
      Component:  combinatorics         |    Resolution:              
       Keywords:  species, cycle index  |   Work issues:              
Report Upstream:  N/A                   |     Reviewers:              
        Authors:  Andrew Gainer-Dewar   |     Merged in:              
   Dependencies:                        |      Stopgaps:              
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Old description:

> In the context of virtual species (see #14348), it is also possible to
> define multiplicative inverses of many species. This patch incorporates
> code to compute the cycle indices of these multiplicative inverse species
> and a __div__ method for cycle index series.

New description:

 In the context of virtual species (see #14348), it is also possible to
 define multiplicative inverses of many species. This patch incorporates
 code to compute the cycle indices of these multiplicative inverse species
 and a __div__ method for cycle index series.


 Apply [attachment:trac_14350_cycle_index_mult_inverses.patch]

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Comment (by chapoton):

 for the bot: apply trac_14350_cycle_index_mult_inverses.patch

 You should use python3 syntax for raise:
 {{{
 raise ValueError("constant term must be non-zero")
 }}}

 you could avoid to define parent by using directly self.parent()

 you should doctest the _div_ function

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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14350#comment:11>
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