Added the file bdd_height.py; edited number_field.py to point to new file.# Please enter the commit message for your changes. Lines starting# with '#' will be ignored, and an empty message aborts the commit.# On branch bdd_height_test# Changes to be committed:#   (use "git reset HEAD <file>..." to unstage)##	new file:   bdd_height.py#	modified:   number_field.py## Untracked files:#   (use "git add <file>..." to include in what will be committed)##	../../../../test1.sage
New changes to bdd_height.py
Further changes to bdd_height.py
Edited the elements_of_bdd_height function.
We have included the new function elements_of_bdd_height in number_field.py
Edited the examples for the elements_of_bdd_height function
Made minor improvements based on suggestions from vdelecroix.

Improved documentation, reset default precision to 53, and replaced the output list with an iterator.
Included option to compute LLL-reduced basis for unit group.
Implemented marked Cartan types and refactored common code.
Fixed last doctests and added to full coverage.
Fixed last failing doctest.
Merge branch 'develop' into public/combinat/root_systems/marked_types-15948

* develop: (155 commits)
  Updated Sage version to 6.2.beta6
  32-bit fix
  typo fixing
  fix int/long doctest
  trac #16032: These matrices should be sparse
  trac 16032: This can be simplified... :-P
  Correct typo in sage/symbolic/ring.pyx.
  Put comment in the code and add more examples.
  trac #16032: reviewer's remarks
  FiniteStateMachine.__add__ is the same as __or__
  trac #16032: Bug in IncidenceStructure.dual_design
  final edits
  more changes -- please check if I got your algorithm right, Travis
  Review changes from Ben.
  further optimizations
  Fixed KR doctest and documentation of q_dimension.
  Fixes for q-dims for general highest weight crystals.
  more optimizations
  Partial work for general HW crystals.
  Review changes and (minor) optimizations.
  ...
Merge branch 'develop' into public/combinat/root_systems/marked_types-15948

* develop: (181 commits)
  Updated Sage version to 6.2.beta7
  Improve the deprecated_function_alias
  trac #14095 cdots instead of dots
  Set() with no argument returns an empty Set.
  more doc correction
  correct formatting of doc and raise syntax for python3
  trac #14095 added the new example from the trac ticket
  Matplotlib depends on pkgconf, not the pkgconfig python module
  Fixed indentation.
  changed the forward slash to backslash for MatLab operator
  Fixed appearence of int in chord_and_tangent
  fix formula in comment
  Trac 15737: small correction
  DiGraph.is_aperiodic: Add Wikipedia link to docstring
  DiGraph.is_aperiodic: new method (wraps networkx method)
  Trac 15737: fixing the supersingular case, too
  Trac 15737: adjusting the ordinary case
  Some misc cleanup to permgroup_named.py.
  One more unit() to one().
  Trac #15737: Error relating to precision in sha_tate
  ...

Conflicts:
	src/sage/graphs/dot2tex_utils.py
Merge branch 'public/combinat/root_systems/marked_types-15948' of trac.sagemath.org:sage into public/combinat/root_systems/marked_types-15948

Conflicts:
	src/doc/en/reference/combinat/root_systems.rst
Fixed Dynkin diagram doc and typo.
Merge branch 'master' into ticket/15389
Made changes based on comments from bhutz.
Updated number_field.py.

I had been editing an older version of number_field.py. I've now added the
code for elements_of_bounded_height to a more recent version.
Changed import statement as per Ben's comment.
Modified two examples and added pari import statement.