#14477: Graph database query results should be sorted
-----------------------------+----------------------------------------------
       Reporter:  jdemeyer   |         Owner:  was      
           Type:  defect     |        Status:  new      
       Priority:  critical   |     Milestone:  sage-5.10
      Component:  databases  |    Resolution:           
       Keywords:             |   Work issues:           
Report Upstream:  N/A        |     Reviewers:           
        Authors:             |     Merged in:           
   Dependencies:             |      Stopgaps:           
-----------------------------+----------------------------------------------
Description changed by jdemeyer:

Old description:

> Currently, the ordering of the query results of the graph database is
> undefined. In fact, upgrading to Python-2.7.4, the following happens on
> the buildbot machine rosemary (RHEL 5.6 x86_64):
> {{{
> sage -t --long devel/sage/sage/graphs/graph_database.py
> **********************************************************************
> File "devel/sage/sage/graphs/graph_database.py", line 932, in
> sage.graphs.graph_database.GraphDatabase.query
> Failed example:
>     q.show()
> Expected:
>     Graph6               Num Vertices         Degree Sequence
>     ------------------------------------------------------------
>     @                    1                    [0]
>     A?                   2                    [0, 0]
>     A_                   2                    [1, 1]
>     B?                   3                    [0, 0, 0]
>     BG                   3                    [0, 1, 1]
>     BW                   3                    [1, 1, 2]
>     Bw                   3                    [2, 2, 2]
>     C?                   4                    [0, 0, 0, 0]
>     C@                   4                    [0, 0, 1, 1]
>     CB                   4                    [0, 1, 1, 2]
>     CK                   4                    [1, 1, 1, 1]
>     CF                   4                    [1, 1, 1, 3]
>     CJ                   4                    [0, 2, 2, 2]
>     CL                   4                    [1, 1, 2, 2]
>     CN                   4                    [1, 2, 2, 3]
>     C]                   4                    [2, 2, 2, 2]
>     C^                   4                    [2, 2, 3, 3]
>     D??                  5                    [0, 0, 0, 0, 0]
>     D?C                  5                    [0, 0, 0, 1, 1]
>     D?K                  5                    [0, 0, 1, 1, 2]
>     D@O                  5                    [0, 1, 1, 1, 1]
>     D?[                  5                    [0, 1, 1, 1, 3]
>     D@K                  5                    [0, 0, 2, 2, 2]
>     D_K                  5                    [1, 1, 1, 1, 2]
>     D@S                  5                    [0, 1, 1, 2, 2]
>     D?{                  5                    [1, 1, 1, 1, 4]
>     D@[                  5                    [0, 1, 2, 2, 3]
>     D@s                  5                    [1, 1, 1, 2, 3]
>     DBg                  5                    [1, 1, 2, 2, 2]
>     DBW                  5                    [0, 2, 2, 2, 2]
>     D`K                  5                    [1, 1, 2, 2, 2]
>     D@{                  5                    [1, 1, 2, 2, 4]
>     DB[                  5                    [0, 2, 2, 3, 3]
>     DIk                  5                    [1, 2, 2, 2, 3]
>     DBk                  5                    [1, 1, 2, 3, 3]
>     DK[                  5                    [1, 2, 2, 2, 3]
>     DLo                  5                    [2, 2, 2, 2, 2]
>     E???                 6                    [0, 0, 0, 0, 0, 0]
>     E??G                 6                    [0, 0, 0, 0, 1, 1]
>     E??W                 6                    [0, 0, 0, 1, 1, 2]
>     E?C_                 6                    [0, 0, 1, 1, 1, 1]
>     E??w                 6                    [0, 0, 1, 1, 1, 3]
>     E?CW                 6                    [0, 0, 0, 2, 2, 2]
>     EG?W                 6                    [0, 1, 1, 1, 1, 2]
>     E?Cg                 6                    [0, 0, 1, 1, 2, 2]
>     E@Q?                 6                    [1, 1, 1, 1, 1, 1]
>     E?@w                 6                    [0, 1, 1, 1, 1, 4]
>     E?Cw                 6                    [0, 0, 1, 2, 2, 3]
>     E?Dg                 6                    [0, 1, 1, 1, 2, 3]
>     E_?w                 6                    [1, 1, 1, 1, 1, 3]
>     E?LO                 6                    [0, 1, 1, 2, 2, 2]
>     E?N?                 6                    [1, 1, 1, 1, 2, 2]
>     E?Ko                 6                    [0, 0, 2, 2, 2, 2]
>     EGCW                 6                    [0, 1, 1, 2, 2, 2]
>     E_Cg                 6                    [1, 1, 1, 1, 2, 2]
>     E?Bw                 6                    [1, 1, 1, 1, 1, 5]
>     E?Dw                 6                    [0, 1, 1, 2, 2, 4]
>     E?Fg                 6                    [1, 1, 1, 1, 2, 4]
>     E?Kw                 6                    [0, 0, 2, 2, 3, 3]
>     E@HW                 6                    [0, 1, 2, 2, 2, 3]
>     E@FG                 6                    [1, 1, 1, 2, 2, 3]
>     E?LW                 6                    [0, 1, 1, 2, 3, 3]
>     E?NG                 6                    [1, 1, 1, 1, 3, 3]
>     E@N?                 6                    [1, 1, 2, 2, 2, 2]
>     E@YO                 6                    [1, 1, 2, 2, 2, 2]
>     E@QW                 6                    [1, 1, 1, 2, 2, 3]
>     E@Ow                 6                    [0, 1, 2, 2, 2, 3]
>     E_Cw                 6                    [1, 1, 1, 2, 2, 3]
>     E@T_                 6                    [0, 2, 2, 2, 2, 2]
>     E_Ko                 6                    [1, 1, 2, 2, 2, 2]
>     F????                7                    [0, 0, 0, 0, 0, 0, 0]
>     F???G                7                    [0, 0, 0, 0, 0, 1, 1]
>     F???W                7                    [0, 0, 0, 0, 1, 1, 2]
>     F??G_                7                    [0, 0, 0, 1, 1, 1, 1]
>     F???w                7                    [0, 0, 0, 1, 1, 1, 3]
>     F??GW                7                    [0, 0, 0, 0, 2, 2, 2]
>     F@??W                7                    [0, 0, 1, 1, 1, 1, 2]
>     F??Gg                7                    [0, 0, 0, 1, 1, 2, 2]
>     F?Ca?                7                    [0, 1, 1, 1, 1, 1, 1]
>     F??@w                7                    [0, 0, 1, 1, 1, 1, 4]
>     F??Gw                7                    [0, 0, 0, 1, 2, 2, 3]
>     F??Hg                7                    [0, 0, 1, 1, 1, 2, 3]
>     FG??w                7                    [0, 1, 1, 1, 1, 1, 3]
>     F??XO                7                    [0, 0, 1, 1, 2, 2, 2]
>     F??Z?                7                    [0, 1, 1, 1, 1, 2, 2]
>     F??Wo                7                    [0, 0, 0, 2, 2, 2, 2]
>     F@?GW                7                    [0, 0, 1, 1, 2, 2, 2]
>     FK??W                7                    [1, 1, 1, 1, 1, 1, 2]
>     FG?Gg                7                    [0, 1, 1, 1, 1, 2, 2]
>     F??Bw                7                    [0, 1, 1, 1, 1, 1, 5]
>     F??Hw                7                    [0, 0, 1, 1, 2, 2, 4]
>     F??Jg                7                    [0, 1, 1, 1, 1, 2, 4]
>     F_?@w                7                    [1, 1, 1, 1, 1, 1, 4]
>     F??Ww                7                    [0, 0, 0, 2, 2, 3, 3]
>     F?CPW                7                    [0, 0, 1, 2, 2, 2, 3]
>     F?CJG                7                    [0, 1, 1, 1, 2, 2, 3]
>     F??^?                7                    [1, 1, 1, 1, 1, 2, 3]
>     F??XW                7                    [0, 0, 1, 1, 2, 3, 3]
>     F??ZG                7                    [0, 1, 1, 1, 1, 3, 3]
>     F?CZ?                7                    [0, 1, 1, 2, 2, 2, 2]
>     F_?Hg                7                    [1, 1, 1, 1, 1, 2, 3]
>     F?CqO                7                    [0, 1, 1, 2, 2, 2, 2]
>     F?CaW                7                    [0, 1, 1, 1, 2, 2, 3]
>     F?LCG                7                    [1, 1, 1, 1, 2, 2, 2]
>     F?C_w                7                    [0, 0, 1, 2, 2, 2, 3]
>     FG?Gw                7                    [0, 1, 1, 1, 2, 2, 3]
>     F?Ch_                7                    [0, 0, 2, 2, 2, 2, 2]
>     FG?Wo                7                    [0, 1, 1, 2, 2, 2, 2]
>     F_?XO                7                    [1, 1, 1, 1, 2, 2, 2]
>     FK?GW                7                    [1, 1, 1, 1, 2, 2, 2]
> Got:
>     Graph6               Num Vertices         Degree Sequence
>     ------------------------------------------------------------
>     @                    1                    [0]
>     A?                   2                    [0, 0]
>     B?                   3                    [0, 0, 0]
>     C?                   4                    [0, 0, 0, 0]
>     D??                  5                    [0, 0, 0, 0, 0]
>     E???                 6                    [0, 0, 0, 0, 0, 0]
>     F????                7                    [0, 0, 0, 0, 0, 0, 0]
>     A_                   2                    [1, 1]
>     BG                   3                    [0, 1, 1]
>     C@                   4                    [0, 0, 1, 1]
>     D?C                  5                    [0, 0, 0, 1, 1]
>     E??G                 6                    [0, 0, 0, 0, 1, 1]
>     F???G                7                    [0, 0, 0, 0, 0, 1, 1]
>     BW                   3                    [1, 1, 2]
>     CB                   4                    [0, 1, 1, 2]
>     CK                   4                    [1, 1, 1, 1]
>     D?K                  5                    [0, 0, 1, 1, 2]
>     D@O                  5                    [0, 1, 1, 1, 1]
>     E??W                 6                    [0, 0, 0, 1, 1, 2]
>     E?C_                 6                    [0, 0, 1, 1, 1, 1]
>     F???W                7                    [0, 0, 0, 0, 1, 1, 2]
>     F??G_                7                    [0, 0, 0, 1, 1, 1, 1]
>     Bw                   3                    [2, 2, 2]
>     CF                   4                    [1, 1, 1, 3]
>     CJ                   4                    [0, 2, 2, 2]
>     CL                   4                    [1, 1, 2, 2]
>     D?[                  5                    [0, 1, 1, 1, 3]
>     D@K                  5                    [0, 0, 2, 2, 2]
>     D_K                  5                    [1, 1, 1, 1, 2]
>     D@S                  5                    [0, 1, 1, 2, 2]
>     E??w                 6                    [0, 0, 1, 1, 1, 3]
>     E?CW                 6                    [0, 0, 0, 2, 2, 2]
>     EG?W                 6                    [0, 1, 1, 1, 1, 2]
>     E?Cg                 6                    [0, 0, 1, 1, 2, 2]
>     E@Q?                 6                    [1, 1, 1, 1, 1, 1]
>     F???w                7                    [0, 0, 0, 1, 1, 1, 3]
>     F??GW                7                    [0, 0, 0, 0, 2, 2, 2]
>     F@??W                7                    [0, 0, 1, 1, 1, 1, 2]
>     F??Gg                7                    [0, 0, 0, 1, 1, 2, 2]
>     F?Ca?                7                    [0, 1, 1, 1, 1, 1, 1]
>     CN                   4                    [1, 2, 2, 3]
>     C]                   4                    [2, 2, 2, 2]
>     D?{                  5                    [1, 1, 1, 1, 4]
>     D@[                  5                    [0, 1, 2, 2, 3]
>     D@s                  5                    [1, 1, 1, 2, 3]
>     DBg                  5                    [1, 1, 2, 2, 2]
>     DBW                  5                    [0, 2, 2, 2, 2]
>     D`K                  5                    [1, 1, 2, 2, 2]
>     E?@w                 6                    [0, 1, 1, 1, 1, 4]
>     E?Cw                 6                    [0, 0, 1, 2, 2, 3]
>     E?Dg                 6                    [0, 1, 1, 1, 2, 3]
>     E_?w                 6                    [1, 1, 1, 1, 1, 3]
>     E?LO                 6                    [0, 1, 1, 2, 2, 2]
>     E?N?                 6                    [1, 1, 1, 1, 2, 2]
>     E?Ko                 6                    [0, 0, 2, 2, 2, 2]
>     EGCW                 6                    [0, 1, 1, 2, 2, 2]
>     E_Cg                 6                    [1, 1, 1, 1, 2, 2]
>     F??@w                7                    [0, 0, 1, 1, 1, 1, 4]
>     F??Gw                7                    [0, 0, 0, 1, 2, 2, 3]
>     F??Hg                7                    [0, 0, 1, 1, 1, 2, 3]
>     FG??w                7                    [0, 1, 1, 1, 1, 1, 3]
>     F??XO                7                    [0, 0, 1, 1, 2, 2, 2]
>     F??Z?                7                    [0, 1, 1, 1, 1, 2, 2]
>     F??Wo                7                    [0, 0, 0, 2, 2, 2, 2]
>     F@?GW                7                    [0, 0, 1, 1, 2, 2, 2]
>     FK??W                7                    [1, 1, 1, 1, 1, 1, 2]
>     FG?Gg                7                    [0, 1, 1, 1, 1, 2, 2]
>     C^                   4                    [2, 2, 3, 3]
>     D@{                  5                    [1, 1, 2, 2, 4]
>     DB[                  5                    [0, 2, 2, 3, 3]
>     DIk                  5                    [1, 2, 2, 2, 3]
>     DBk                  5                    [1, 1, 2, 3, 3]
>     DK[                  5                    [1, 2, 2, 2, 3]
>     DLo                  5                    [2, 2, 2, 2, 2]
>     E?Bw                 6                    [1, 1, 1, 1, 1, 5]
>     E?Dw                 6                    [0, 1, 1, 2, 2, 4]
>     E?Fg                 6                    [1, 1, 1, 1, 2, 4]
>     E?Kw                 6                    [0, 0, 2, 2, 3, 3]
>     E@HW                 6                    [0, 1, 2, 2, 2, 3]
>     E@FG                 6                    [1, 1, 1, 2, 2, 3]
>     E?LW                 6                    [0, 1, 1, 2, 3, 3]
>     E?NG                 6                    [1, 1, 1, 1, 3, 3]
>     E@N?                 6                    [1, 1, 2, 2, 2, 2]
>     E@YO                 6                    [1, 1, 2, 2, 2, 2]
>     E@QW                 6                    [1, 1, 1, 2, 2, 3]
>     E@Ow                 6                    [0, 1, 2, 2, 2, 3]
>     E_Cw                 6                    [1, 1, 1, 2, 2, 3]
>     E@T_                 6                    [0, 2, 2, 2, 2, 2]
>     E_Ko                 6                    [1, 1, 2, 2, 2, 2]
>     F??Bw                7                    [0, 1, 1, 1, 1, 1, 5]
>     F??Hw                7                    [0, 0, 1, 1, 2, 2, 4]
>     F??Jg                7                    [0, 1, 1, 1, 1, 2, 4]
>     F_?@w                7                    [1, 1, 1, 1, 1, 1, 4]
>     F??Ww                7                    [0, 0, 0, 2, 2, 3, 3]
>     F?CPW                7                    [0, 0, 1, 2, 2, 2, 3]
>     F?CJG                7                    [0, 1, 1, 1, 2, 2, 3]
>     F??^?                7                    [1, 1, 1, 1, 1, 2, 3]
>     F??XW                7                    [0, 0, 1, 1, 2, 3, 3]
>     F??ZG                7                    [0, 1, 1, 1, 1, 3, 3]
>     F?CZ?                7                    [0, 1, 1, 2, 2, 2, 2]
>     F_?Hg                7                    [1, 1, 1, 1, 1, 2, 3]
>     F?CqO                7                    [0, 1, 1, 2, 2, 2, 2]
>     F?CaW                7                    [0, 1, 1, 1, 2, 2, 3]
>     F?LCG                7                    [1, 1, 1, 1, 2, 2, 2]
>     F?C_w                7                    [0, 0, 1, 2, 2, 2, 3]
>     FG?Gw                7                    [0, 1, 1, 1, 2, 2, 3]
>     F?Ch_                7                    [0, 0, 2, 2, 2, 2, 2]
>     FG?Wo                7                    [0, 1, 1, 2, 2, 2, 2]
>     F_?XO                7                    [1, 1, 1, 1, 2, 2, 2]
>     FK?GW                7                    [1, 1, 1, 1, 2, 2, 2]
> **********************************************************************
> }}}

New description:

 Currently, the ordering of the query results of the graph database is
 undefined. In fact, upgrading to Python-2.7.4 (#14423), the following
 happens on the buildbot machine rosemary (RHEL 5.6 x86_64):
 {{{
 sage -t --long devel/sage/sage/graphs/graph_database.py
 **********************************************************************
 File "devel/sage/sage/graphs/graph_database.py", line 932, in
 sage.graphs.graph_database.GraphDatabase.query
 Failed example:
     q.show()
 Expected:
     Graph6               Num Vertices         Degree Sequence
     ------------------------------------------------------------
     @                    1                    [0]
     A?                   2                    [0, 0]
     A_                   2                    [1, 1]
     B?                   3                    [0, 0, 0]
     BG                   3                    [0, 1, 1]
     BW                   3                    [1, 1, 2]
     Bw                   3                    [2, 2, 2]
     C?                   4                    [0, 0, 0, 0]
     C@                   4                    [0, 0, 1, 1]
     CB                   4                    [0, 1, 1, 2]
     CK                   4                    [1, 1, 1, 1]
     CF                   4                    [1, 1, 1, 3]
     CJ                   4                    [0, 2, 2, 2]
     CL                   4                    [1, 1, 2, 2]
     CN                   4                    [1, 2, 2, 3]
     C]                   4                    [2, 2, 2, 2]
     C^                   4                    [2, 2, 3, 3]
     D??                  5                    [0, 0, 0, 0, 0]
     D?C                  5                    [0, 0, 0, 1, 1]
     D?K                  5                    [0, 0, 1, 1, 2]
     D@O                  5                    [0, 1, 1, 1, 1]
     D?[                  5                    [0, 1, 1, 1, 3]
     D@K                  5                    [0, 0, 2, 2, 2]
     D_K                  5                    [1, 1, 1, 1, 2]
     D@S                  5                    [0, 1, 1, 2, 2]
     D?{                  5                    [1, 1, 1, 1, 4]
     D@[                  5                    [0, 1, 2, 2, 3]
     D@s                  5                    [1, 1, 1, 2, 3]
     DBg                  5                    [1, 1, 2, 2, 2]
     DBW                  5                    [0, 2, 2, 2, 2]
     D`K                  5                    [1, 1, 2, 2, 2]
     D@{                  5                    [1, 1, 2, 2, 4]
     DB[                  5                    [0, 2, 2, 3, 3]
     DIk                  5                    [1, 2, 2, 2, 3]
     DBk                  5                    [1, 1, 2, 3, 3]
     DK[                  5                    [1, 2, 2, 2, 3]
     DLo                  5                    [2, 2, 2, 2, 2]
     E???                 6                    [0, 0, 0, 0, 0, 0]
     E??G                 6                    [0, 0, 0, 0, 1, 1]
     E??W                 6                    [0, 0, 0, 1, 1, 2]
     E?C_                 6                    [0, 0, 1, 1, 1, 1]
     E??w                 6                    [0, 0, 1, 1, 1, 3]
     E?CW                 6                    [0, 0, 0, 2, 2, 2]
     EG?W                 6                    [0, 1, 1, 1, 1, 2]
     E?Cg                 6                    [0, 0, 1, 1, 2, 2]
     E@Q?                 6                    [1, 1, 1, 1, 1, 1]
     E?@w                 6                    [0, 1, 1, 1, 1, 4]
     E?Cw                 6                    [0, 0, 1, 2, 2, 3]
     E?Dg                 6                    [0, 1, 1, 1, 2, 3]
     E_?w                 6                    [1, 1, 1, 1, 1, 3]
     E?LO                 6                    [0, 1, 1, 2, 2, 2]
     E?N?                 6                    [1, 1, 1, 1, 2, 2]
     E?Ko                 6                    [0, 0, 2, 2, 2, 2]
     EGCW                 6                    [0, 1, 1, 2, 2, 2]
     E_Cg                 6                    [1, 1, 1, 1, 2, 2]
     E?Bw                 6                    [1, 1, 1, 1, 1, 5]
     E?Dw                 6                    [0, 1, 1, 2, 2, 4]
     E?Fg                 6                    [1, 1, 1, 1, 2, 4]
     E?Kw                 6                    [0, 0, 2, 2, 3, 3]
     E@HW                 6                    [0, 1, 2, 2, 2, 3]
     E@FG                 6                    [1, 1, 1, 2, 2, 3]
     E?LW                 6                    [0, 1, 1, 2, 3, 3]
     E?NG                 6                    [1, 1, 1, 1, 3, 3]
     E@N?                 6                    [1, 1, 2, 2, 2, 2]
     E@YO                 6                    [1, 1, 2, 2, 2, 2]
     E@QW                 6                    [1, 1, 1, 2, 2, 3]
     E@Ow                 6                    [0, 1, 2, 2, 2, 3]
     E_Cw                 6                    [1, 1, 1, 2, 2, 3]
     E@T_                 6                    [0, 2, 2, 2, 2, 2]
     E_Ko                 6                    [1, 1, 2, 2, 2, 2]
     F????                7                    [0, 0, 0, 0, 0, 0, 0]
     F???G                7                    [0, 0, 0, 0, 0, 1, 1]
     F???W                7                    [0, 0, 0, 0, 1, 1, 2]
     F??G_                7                    [0, 0, 0, 1, 1, 1, 1]
     F???w                7                    [0, 0, 0, 1, 1, 1, 3]
     F??GW                7                    [0, 0, 0, 0, 2, 2, 2]
     F@??W                7                    [0, 0, 1, 1, 1, 1, 2]
     F??Gg                7                    [0, 0, 0, 1, 1, 2, 2]
     F?Ca?                7                    [0, 1, 1, 1, 1, 1, 1]
     F??@w                7                    [0, 0, 1, 1, 1, 1, 4]
     F??Gw                7                    [0, 0, 0, 1, 2, 2, 3]
     F??Hg                7                    [0, 0, 1, 1, 1, 2, 3]
     FG??w                7                    [0, 1, 1, 1, 1, 1, 3]
     F??XO                7                    [0, 0, 1, 1, 2, 2, 2]
     F??Z?                7                    [0, 1, 1, 1, 1, 2, 2]
     F??Wo                7                    [0, 0, 0, 2, 2, 2, 2]
     F@?GW                7                    [0, 0, 1, 1, 2, 2, 2]
     FK??W                7                    [1, 1, 1, 1, 1, 1, 2]
     FG?Gg                7                    [0, 1, 1, 1, 1, 2, 2]
     F??Bw                7                    [0, 1, 1, 1, 1, 1, 5]
     F??Hw                7                    [0, 0, 1, 1, 2, 2, 4]
     F??Jg                7                    [0, 1, 1, 1, 1, 2, 4]
     F_?@w                7                    [1, 1, 1, 1, 1, 1, 4]
     F??Ww                7                    [0, 0, 0, 2, 2, 3, 3]
     F?CPW                7                    [0, 0, 1, 2, 2, 2, 3]
     F?CJG                7                    [0, 1, 1, 1, 2, 2, 3]
     F??^?                7                    [1, 1, 1, 1, 1, 2, 3]
     F??XW                7                    [0, 0, 1, 1, 2, 3, 3]
     F??ZG                7                    [0, 1, 1, 1, 1, 3, 3]
     F?CZ?                7                    [0, 1, 1, 2, 2, 2, 2]
     F_?Hg                7                    [1, 1, 1, 1, 1, 2, 3]
     F?CqO                7                    [0, 1, 1, 2, 2, 2, 2]
     F?CaW                7                    [0, 1, 1, 1, 2, 2, 3]
     F?LCG                7                    [1, 1, 1, 1, 2, 2, 2]
     F?C_w                7                    [0, 0, 1, 2, 2, 2, 3]
     FG?Gw                7                    [0, 1, 1, 1, 2, 2, 3]
     F?Ch_                7                    [0, 0, 2, 2, 2, 2, 2]
     FG?Wo                7                    [0, 1, 1, 2, 2, 2, 2]
     F_?XO                7                    [1, 1, 1, 1, 2, 2, 2]
     FK?GW                7                    [1, 1, 1, 1, 2, 2, 2]
 Got:
     Graph6               Num Vertices         Degree Sequence
     ------------------------------------------------------------
     @                    1                    [0]
     A?                   2                    [0, 0]
     B?                   3                    [0, 0, 0]
     C?                   4                    [0, 0, 0, 0]
     D??                  5                    [0, 0, 0, 0, 0]
     E???                 6                    [0, 0, 0, 0, 0, 0]
     F????                7                    [0, 0, 0, 0, 0, 0, 0]
     A_                   2                    [1, 1]
     BG                   3                    [0, 1, 1]
     C@                   4                    [0, 0, 1, 1]
     D?C                  5                    [0, 0, 0, 1, 1]
     E??G                 6                    [0, 0, 0, 0, 1, 1]
     F???G                7                    [0, 0, 0, 0, 0, 1, 1]
     BW                   3                    [1, 1, 2]
     CB                   4                    [0, 1, 1, 2]
     CK                   4                    [1, 1, 1, 1]
     D?K                  5                    [0, 0, 1, 1, 2]
     D@O                  5                    [0, 1, 1, 1, 1]
     E??W                 6                    [0, 0, 0, 1, 1, 2]
     E?C_                 6                    [0, 0, 1, 1, 1, 1]
     F???W                7                    [0, 0, 0, 0, 1, 1, 2]
     F??G_                7                    [0, 0, 0, 1, 1, 1, 1]
     Bw                   3                    [2, 2, 2]
     CF                   4                    [1, 1, 1, 3]
     CJ                   4                    [0, 2, 2, 2]
     CL                   4                    [1, 1, 2, 2]
     D?[                  5                    [0, 1, 1, 1, 3]
     D@K                  5                    [0, 0, 2, 2, 2]
     D_K                  5                    [1, 1, 1, 1, 2]
     D@S                  5                    [0, 1, 1, 2, 2]
     E??w                 6                    [0, 0, 1, 1, 1, 3]
     E?CW                 6                    [0, 0, 0, 2, 2, 2]
     EG?W                 6                    [0, 1, 1, 1, 1, 2]
     E?Cg                 6                    [0, 0, 1, 1, 2, 2]
     E@Q?                 6                    [1, 1, 1, 1, 1, 1]
     F???w                7                    [0, 0, 0, 1, 1, 1, 3]
     F??GW                7                    [0, 0, 0, 0, 2, 2, 2]
     F@??W                7                    [0, 0, 1, 1, 1, 1, 2]
     F??Gg                7                    [0, 0, 0, 1, 1, 2, 2]
     F?Ca?                7                    [0, 1, 1, 1, 1, 1, 1]
     CN                   4                    [1, 2, 2, 3]
     C]                   4                    [2, 2, 2, 2]
     D?{                  5                    [1, 1, 1, 1, 4]
     D@[                  5                    [0, 1, 2, 2, 3]
     D@s                  5                    [1, 1, 1, 2, 3]
     DBg                  5                    [1, 1, 2, 2, 2]
     DBW                  5                    [0, 2, 2, 2, 2]
     D`K                  5                    [1, 1, 2, 2, 2]
     E?@w                 6                    [0, 1, 1, 1, 1, 4]
     E?Cw                 6                    [0, 0, 1, 2, 2, 3]
     E?Dg                 6                    [0, 1, 1, 1, 2, 3]
     E_?w                 6                    [1, 1, 1, 1, 1, 3]
     E?LO                 6                    [0, 1, 1, 2, 2, 2]
     E?N?                 6                    [1, 1, 1, 1, 2, 2]
     E?Ko                 6                    [0, 0, 2, 2, 2, 2]
     EGCW                 6                    [0, 1, 1, 2, 2, 2]
     E_Cg                 6                    [1, 1, 1, 1, 2, 2]
     F??@w                7                    [0, 0, 1, 1, 1, 1, 4]
     F??Gw                7                    [0, 0, 0, 1, 2, 2, 3]
     F??Hg                7                    [0, 0, 1, 1, 1, 2, 3]
     FG??w                7                    [0, 1, 1, 1, 1, 1, 3]
     F??XO                7                    [0, 0, 1, 1, 2, 2, 2]
     F??Z?                7                    [0, 1, 1, 1, 1, 2, 2]
     F??Wo                7                    [0, 0, 0, 2, 2, 2, 2]
     F@?GW                7                    [0, 0, 1, 1, 2, 2, 2]
     FK??W                7                    [1, 1, 1, 1, 1, 1, 2]
     FG?Gg                7                    [0, 1, 1, 1, 1, 2, 2]
     C^                   4                    [2, 2, 3, 3]
     D@{                  5                    [1, 1, 2, 2, 4]
     DB[                  5                    [0, 2, 2, 3, 3]
     DIk                  5                    [1, 2, 2, 2, 3]
     DBk                  5                    [1, 1, 2, 3, 3]
     DK[                  5                    [1, 2, 2, 2, 3]
     DLo                  5                    [2, 2, 2, 2, 2]
     E?Bw                 6                    [1, 1, 1, 1, 1, 5]
     E?Dw                 6                    [0, 1, 1, 2, 2, 4]
     E?Fg                 6                    [1, 1, 1, 1, 2, 4]
     E?Kw                 6                    [0, 0, 2, 2, 3, 3]
     E@HW                 6                    [0, 1, 2, 2, 2, 3]
     E@FG                 6                    [1, 1, 1, 2, 2, 3]
     E?LW                 6                    [0, 1, 1, 2, 3, 3]
     E?NG                 6                    [1, 1, 1, 1, 3, 3]
     E@N?                 6                    [1, 1, 2, 2, 2, 2]
     E@YO                 6                    [1, 1, 2, 2, 2, 2]
     E@QW                 6                    [1, 1, 1, 2, 2, 3]
     E@Ow                 6                    [0, 1, 2, 2, 2, 3]
     E_Cw                 6                    [1, 1, 1, 2, 2, 3]
     E@T_                 6                    [0, 2, 2, 2, 2, 2]
     E_Ko                 6                    [1, 1, 2, 2, 2, 2]
     F??Bw                7                    [0, 1, 1, 1, 1, 1, 5]
     F??Hw                7                    [0, 0, 1, 1, 2, 2, 4]
     F??Jg                7                    [0, 1, 1, 1, 1, 2, 4]
     F_?@w                7                    [1, 1, 1, 1, 1, 1, 4]
     F??Ww                7                    [0, 0, 0, 2, 2, 3, 3]
     F?CPW                7                    [0, 0, 1, 2, 2, 2, 3]
     F?CJG                7                    [0, 1, 1, 1, 2, 2, 3]
     F??^?                7                    [1, 1, 1, 1, 1, 2, 3]
     F??XW                7                    [0, 0, 1, 1, 2, 3, 3]
     F??ZG                7                    [0, 1, 1, 1, 1, 3, 3]
     F?CZ?                7                    [0, 1, 1, 2, 2, 2, 2]
     F_?Hg                7                    [1, 1, 1, 1, 1, 2, 3]
     F?CqO                7                    [0, 1, 1, 2, 2, 2, 2]
     F?CaW                7                    [0, 1, 1, 1, 2, 2, 3]
     F?LCG                7                    [1, 1, 1, 1, 2, 2, 2]
     F?C_w                7                    [0, 0, 1, 2, 2, 2, 3]
     FG?Gw                7                    [0, 1, 1, 1, 2, 2, 3]
     F?Ch_                7                    [0, 0, 2, 2, 2, 2, 2]
     FG?Wo                7                    [0, 1, 1, 2, 2, 2, 2]
     F_?XO                7                    [1, 1, 1, 1, 2, 2, 2]
     FK?GW                7                    [1, 1, 1, 1, 2, 2, 2]
 **********************************************************************
 }}}

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14477#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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