#12882: Allows a generalized Cartan matrix as input for Dynkin diagrams
-------------------------------------------------+-------------------------
       Reporter:  stumpc5                        |        Owner:  sage-
           Type:  enhancement                    |  combinat
       Priority:  major                          |       Status:
      Component:  combinatorics                  |  needs_work
       Keywords:  Weyl group, Dynkin diagram,    |    Milestone:  sage-5.12
  Cartan matrix, days49                          |   Resolution:
        Authors:  Christian Stump, Travis        |    Merged in:
  Scrimshaw                                      |    Reviewers:  Ben
Report Upstream:  N/A                            |  Salisbury
         Branch:                                 |  Work issues:
   Dependencies:  #14137 #14516                  |       Commit:
                                                 |     Stopgaps:
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Comment (by bsalisbury1):

 I ran the tests again on {{{5.12.beta0}}} on the entire root_system folder
 with following patches applied:
 {{{
 applying trac_14610-LSenergy-ms.patch
 applying trac9107_nesting_nested_classes.patch
 applying trac_9107_fix_cross_reference.patch
 applying trac_14787-gyw_stats-bs.patch
 applying trac_14787-pdf_fix-ts.patch
 applying trac_14573-path_realizations-ts.patch
 applying trac_11407-list_clone_improve-fh.patch
 applying trac_14516-crystals_speedup-ts.patch
 applying trac_12882-matrix_as_dynkin_diagram-ts.patch
 }}}
 All tests passed
 {{{
 ----------------------------------------------------------------------
 All tests passed!
 ----------------------------------------------------------------------
 Total time for all tests: 235.7 seconds
     cpu time: 212.6 seconds
     cumulative wall time: 233.4 seconds
 }}}
 and in particular:
 {{{
 sage -t --long root_system/dynkin_diagram.py
     [88 tests, 0.53 s]
 }}}
 I also copied and ran those tests in Sage directly, and received the
 expected result:
 {{{
 sage: CII = CartanMatrix([[2, -3], [-4, 2]])
 sage: DII = DynkinDiagram(CII, (-1, 'x'))
 sage: DII.index_set()
 ('x', -1)
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/12882#comment:24>
Sage <http://www.sagemath.org>
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