#4327: Refactor and extend root systems plots
----------------------------------------------------+-----------------------
       Reporter:  nthiery                           |         Owner:  mhansen   
                                        
           Type:  enhancement                       |        Status:  
needs_work                                        
       Priority:  minor                             |     Milestone:  sage-5.10 
                                        
      Component:  combinatorics                     |    Resolution:            
                                        
       Keywords:                                    |   Work issues:            
                                        
Report Upstream:  N/A                               |     Reviewers:  Nicolas 
M. Thiéry, Nicolas Borie, Travis Scrimshaw
        Authors:  Nicolas Borie, Nicolas M. Thiéry  |     Merged in:            
                                        
   Dependencies:  #14175, #14176, #14177, #2023     |      Stopgaps:            
                                        
----------------------------------------------------+-----------------------
Changes (by jdemeyer):

  * status:  positive_review => needs_work


Comment:

 {{{
 sage -t devel/sage/sage/combinat/root_system/root_lattice_realizations.py
 **********************************************************************
 File "devel/sage/sage/combinat/root_system/root_lattice_realizations.py",
 line 1840, in
 
sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.Pare
 ntMethods.plot_roots
 Failed example:
     list(RootSystem(["A",2]).root_lattice().plot_roots("all"))
 Expected:
     [Arrow from (0.0,0.0) to (1.0,0.0),
      Text '$\alpha_{1}$' at the point (1.05,0.0),
      Arrow from (0.0,0.0) to (0.0,1.0),
      Text '$\alpha_{2}$' at the point (0.0,1.05),
      Arrow from (0.0,0.0) to (1.0,1.0),
      Text '$\alpha_{1} + \alpha_{2}$' at the point (1.05,1.05),
      Arrow from (0.0,0.0) to (-1.0,0.0),
      Text '$\left(-1\right)\alpha_{1}$' at the point (-1.05,0.0),
      Arrow from (0.0,0.0) to (0.0,-1.0),
      Text '$\left(-1\right)\alpha_{2}$' at the point (0.0,-1.05),
      Arrow from (0.0,0.0) to (-1.0,-1.0),
      Text '$\left(-1\right)\alpha_{1} + \left(-1\right)\alpha_{2}$' at the
 point (-1.05,-1.05)]
 Got:
     [Arrow from (0.0,0.0) to (1.0,0.0), Text '$\alpha_{1}$' at the point
 (1.05,0.0), Arrow from (0.0,0.0) to (0.0,1.0), Text '$\alpha_{2}$' at the
 point (0.0,1.05), Arr
 ow from (0.0,0.0) to (1.0,1.0), Text '$\alpha_{1} + \alpha_{2}$' at the
 point (1.05,1.05), Arrow from (0.0,0.0) to (-1.0,0.0), Text
 '$-\alpha_{1}$' at the point (-1.05,
 0.0), Arrow from (0.0,0.0) to (0.0,-1.0), Text '$-\alpha_{2}$' at the
 point (0.0,-1.05), Arrow from (0.0,0.0) to (-1.0,-1.0), Text '$-\alpha_{1}
 - \alpha_{2}$' at the p
 oint (-1.05,-1.05)]
 **********************************************************************
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4327#comment:28>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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