#15910: Fix doctest in root_systems/coxeter_group.py when coxeter3 is install
--------------------------------------+------------------------
       Reporter:  tscrim              |        Owner:  tscrim
           Type:  defect              |       Status:  new
       Priority:  critical            |    Milestone:  sage-6.2
      Component:  packages: optional  |   Resolution:
       Keywords:                      |    Merged in:
        Authors:  Travis Scrimshaw    |    Reviewers:
Report Upstream:  N/A                 |  Work issues:
         Branch:                      |       Commit:
   Dependencies:                      |     Stopgaps:
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Description changed by aschilling:

Old description:

> Because the default behavior of `CoxeterGroup` is different when coxeter3
> is installed and when it is not.
>
> More precisely, with coxeter3 installed the following doctest failure
> happens:
> {{{sage -t coxeter_group.py
> **********************************************************************
> File "coxeter_group.py", line 69, in
> sage.combinat.root_system.coxeter_group.CoxeterGroup
> Failed example:
>     W
> Expected:
>     Coxeter group over Universal Cyclotomic Field with Coxeter matrix:
>     [1 3 2]
>     [3 1 5]
>     [2 5 1]
> Got:
>     Permutation Group with generators
> [(2,6)(3,18)(4,8)(5,9)(7,10)(11,12)(13,14)(17,21)(19,23)(20,24)(22,25)(26,27)(28,29),
> (1,4)(2,17)(3,6)(5,7)(9,11)(10,12)(14,15)(16,19)(18,21)(20,22)(24,26)(25,27)(29,30),
> (1,16)(2,5)(4,7)(6,9)(8,10)(11,13)(12,14)(17,20)(19,22)(21,24)(23,25)(26,28)(27,29)]
> }}}

New description:

 Because the default behavior of `CoxeterGroup` is different when coxeter3
 is installed and when it is not.

 More precisely, with coxeter3 installed the following doctest failure
 happens

 {{{
 sage -t coxeter_group.py
 **********************************************************************
 File "coxeter_group.py", line 69, in
 sage.combinat.root_system.coxeter_group.CoxeterGroup
 Failed example:
     W
 Expected:
     Coxeter group over Universal Cyclotomic Field with Coxeter matrix:
     [1 3 2]
     [3 1 5]
     [2 5 1]
 Got:
     Permutation Group with generators
 
[(2,6)(3,18)(4,8)(5,9)(7,10)(11,12)(13,14)(17,21)(19,23)(20,24)(22,25)(26,27)(28,29),
 
(1,4)(2,17)(3,6)(5,7)(9,11)(10,12)(14,15)(16,19)(18,21)(20,22)(24,26)(25,27)(29,30),
 
(1,16)(2,5)(4,7)(6,9)(8,10)(11,13)(12,14)(17,20)(19,22)(21,24)(23,25)(26,28)(27,29)]
 }}}

--

--
Ticket URL: <http://trac.sagemath.org/ticket/15910#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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