From 330510f813563d02f2b13d2e0761f2de5f162bc0 Mon Sep 17 00:00:00 2001
From: Patrick Avery <psavery@buffalo.edu>
Date: Thu, 7 Jul 2016 16:13:35 -0400
Subject: [PATCH] Added fill unit cell and periodic distance calc

Used a parser to retrieve and sort all space group transforms from
Open Babel at data/space-groups.txt. Added them to spacegroupdata.h.
Added some readers to spacegroups.cpp for these transforms. Then,
the fill unit cell features were added. Tests were added as well
to demonstrate that it works. Finally, a periodic distance calculator
was also added to unitcell.h (it is used in fillUnitCell()).
---
 avogadro/core/spacegroupdata.h                | 533 ++++++++++++++++++
 avogadro/core/spacegroups.cpp                 | 173 ++++++
 avogadro/core/spacegroups.h                   |  30 +
 avogadro/core/unitcell.h                      |  35 ++
 avogadro/qtplugins/spacegroup/spacegroup.cpp  |  65 +++
 avogadro/qtplugins/spacegroup/spacegroup.h    |   2 +
 tests/core/CMakeLists.txt                     |   2 +-
 .../{spglibtest.cpp => spacegrouptest.cpp}    | 133 ++++-
 8 files changed, 969 insertions(+), 4 deletions(-)
 rename tests/core/{spglibtest.cpp => spacegrouptest.cpp} (69%)

diff --git a/avogadro/core/spacegroupdata.h b/avogadro/core/spacegroupdata.h
index 424efd90a..66657dc86 100644
--- a/avogadro/core/spacegroupdata.h
+++ b/avogadro/core/spacegroupdata.h
@@ -770,6 +770,539 @@ const char* space_group_setting[] = {
   "", "1", "2", "", "", "1", "2", "1",
   "2", "", ""};
 
+const char* space_group_transforms[] = {
+  "",
+  "x,y,z",
+  "x,y,z -x,-y,-z",
+  "x,y,z -x,y,-z",
+  "x,y,z -x,-y,z",
+  "x,y,z x,-y,-z",
+  "x,y,z -x,1/2+y,-z",
+  "x,y,z -x,-y,1/2+z",
+  "x,y,z 1/2+x,-y,-z",
+  "x,y,z -x,y,-z 1/2+x,1/2+y,z 1/2-x,1/2+y,-z",
+  "x,y,z -x,y,-z x,1/2+y,1/2+z -x,1/2+y,1/2-z",
+  "x,y,z -x,y,-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2+y,1/2-z",
+  "x,y,z -x,-y,z x,1/2+y,1/2+z -x,1/2-y,1/2+z",
+  "x,y,z -x,-y,z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z",
+  "x,y,z -x,-y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z",
+  "x,y,z x,-y,-z 1/2+x,y,1/2+z 1/2+x,-y,1/2-z",
+  "x,y,z x,-y,-z 1/2+x,1/2+y,z 1/2+x,1/2-y,-z",
+  "x,y,z x,-y,-z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,1/2-z",
+  "x,y,z x,-y,z",
+  "x,y,z x,y,-z",
+  "x,y,z -x,y,z",
+  "x,y,z x,-y,1/2+z",
+  "x,y,z 1/2+x,-y,1/2+z",
+  "x,y,z 1/2+x,-y,z",
+  "x,y,z 1/2+x,y,-z",
+  "x,y,z 1/2+x,1/2+y,-z",
+  "x,y,z x,1/2+y,-z",
+  "x,y,z -x,1/2+y,z",
+  "x,y,z -x,1/2+y,1/2+z",
+  "x,y,z -x,y,1/2+z",
+  "x,y,z x,-y,z 1/2+x,1/2+y,z 1/2+x,1/2-y,z",
+  "x,y,z x,-y,z x,1/2+y,1/2+z x,1/2-y,1/2+z",
+  "x,y,z x,-y,z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,1/2+z",
+  "x,y,z x,y,-z x,1/2+y,1/2+z x,1/2+y,1/2-z",
+  "x,y,z x,y,-z 1/2+x,y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z x,y,-z 1/2+x,1/2+y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,y,z 1/2+x,y,1/2+z 1/2-x,y,1/2+z",
+  "x,y,z -x,y,z 1/2+x,1/2+y,z 1/2-x,1/2+y,z",
+  "x,y,z -x,y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z x,-y,1/2+z 1/2+x,1/2+y,z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,-y,1/2+z x,1/2+y,1/2+z 1/2+x,1/2-y,z",
+  "x,y,z 1/2+x,-y,z 1/2+x,1/2+y,1/2+z x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,-y,z x,1/2+y,1/2+z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,-y,1/2+z 1/2+x,1/2+y,z x,1/2-y,1/2+z",
+  "x,y,z x,-y,1/2+z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,z",
+  "x,y,z 1/2+x,y,-z x,1/2+y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z x,1/2+y,-z 1/2+x,y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z x,1/2+y,-z 1/2+x,1/2+y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z x,1/2+y,-z 1/2+x,y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z 1/2+x,1/2+y,-z x,1/2+y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z 1/2+x,y,-z 1/2+x,1/2+y,1/2+z x,1/2+y,1/2-z",
+  "x,y,z -x,1/2+y,z 1/2+x,y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,1/2+y,1/2+z 1/2+x,1/2+y,z 1/2-x,y,1/2+z",
+  "x,y,z -x,y,1/2+z 1/2+x,1/2+y,1/2+z 1/2-x,1/2+y,z",
+  "x,y,z -x,y,1/2+z 1/2+x,1/2+y,z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,1/2+y,1/2+z 1/2+x,y,1/2+z 1/2-x,1/2+y,z",
+  "x,y,z -x,1/2+y,z 1/2+x,1/2+y,1/2+z 1/2-x,y,1/2+z",
+  "x,y,z -x,y,-z -x,-y,-z x,-y,z",
+  "x,y,z -x,-y,z -x,-y,-z x,y,-z",
+  "x,y,z x,-y,-z -x,-y,-z -x,y,z",
+  "x,y,z -x,1/2+y,-z -x,-y,-z x,1/2-y,z",
+  "x,y,z -x,-y,1/2+z -x,-y,-z x,y,1/2-z",
+  "x,y,z 1/2+x,-y,-z -x,-y,-z 1/2-x,y,z",
+  "x,y,z -x,y,-z -x,-y,-z x,-y,z 1/2+x,1/2+y,z 1/2-x,1/2+y,-z 1/2-x,1/2-y,-z 1/2+x,1/2-y,z",
+  "x,y,z -x,y,-z -x,-y,-z x,-y,z x,1/2+y,1/2+z -x,1/2+y,1/2-z -x,1/2-y,1/2-z x,1/2-y,1/2+z",
+  "x,y,z -x,y,-z -x,-y,-z x,-y,z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z 1/2-x,1/2-y,1/2-z",
+  "x,y,z -x,-y,z -x,-y,-z x,y,-z x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2-y,1/2-z x,1/2+y,1/2-z",
+  "x,y,z -x,-y,z -x,-y,-z x,y,-z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,-y,1/2-z 1/2+x,y,1/2-z",
+  "x,y,z -x,-y,z -x,-y,-z x,y,-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z",
+  "x,y,z x,-y,-z -x,-y,-z -x,y,z 1/2+x,y,1/2+z 1/2+x,-y,1/2-z 1/2-x,-y,1/2-z 1/2-x,y,1/2+z",
+  "x,y,z x,-y,-z -x,-y,-z -x,y,z 1/2+x,1/2+y,z 1/2+x,1/2-y,-z 1/2-x,1/2-y,-z 1/2-x,1/2+y,z",
+  "x,y,z x,-y,-z -x,-y,-z -x,y,z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,1/2-z 1/2-x,1/2-y,1/2-z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,y,1/2-z -x,-y,-z x,-y,1/2+z",
+  "x,y,z 1/2-x,y,1/2-z -x,-y,-z 1/2+x,-y,1/2+z",
+  "x,y,z 1/2-x,y,-z -x,-y,-z 1/2+x,-y,z",
+  "x,y,z 1/2-x,-y,z -x,-y,-z 1/2+x,y,-z",
+  "x,y,z 1/2-x,1/2-y,z -x,-y,-z 1/2+x,1/2+y,-z",
+  "x,y,z -x,1/2-y,z -x,-y,-z x,1/2+y,-z",
+  "x,y,z x,1/2-y,-z -x,-y,-z -x,1/2+y,z",
+  "x,y,z x,1/2-y,1/2-z -x,-y,-z -x,1/2+y,1/2+z",
+  "x,y,z x,-y,1/2-z -x,-y,-z -x,y,1/2+z",
+  "x,y,z -x,1/2+y,1/2-z -x,-y,-z x,1/2-y,1/2+z",
+  "x,y,z 1/2-x,1/2+y,1/2-z -x,-y,-z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2-x,1/2+y,-z -x,-y,-z 1/2+x,1/2-y,z",
+  "x,y,z 1/2-x,-y,1/2+z -x,-y,-z 1/2+x,y,1/2-z",
+  "x,y,z 1/2-x,1/2-y,1/2+z -x,-y,-z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,1/2-y,1/2+z -x,-y,-z x,1/2+y,1/2-z",
+  "x,y,z 1/2+x,1/2-y,-z -x,-y,-z 1/2-x,1/2+y,z",
+  "x,y,z 1/2+x,1/2-y,1/2-z -x,-y,-z 1/2-x,1/2+y,1/2+z",
+  "x,y,z 1/2+x,-y,1/2-z -x,-y,-z 1/2-x,y,1/2+z",
+  "x,y,z -x,y,1/2-z -x,-y,-z x,-y,1/2+z 1/2+x,1/2+y,z 1/2-x,1/2+y,1/2-z 1/2-x,1/2-y,-z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2-x,y,1/2-z -x,-y,-z 1/2+x,-y,1/2+z x,1/2+y,1/2+z 1/2-x,1/2+y,-z -x,1/2-y,1/2-z 1/2+x,1/2-y,z",
+  "x,y,z 1/2-x,y,-z -x,-y,-z 1/2+x,-y,z 1/2+x,1/2+y,1/2+z -x,1/2+y,1/2-z 1/2-x,1/2-y,1/2-z x,1/2-y,1/2+z",
+  "x,y,z 1/2-x,y,-z -x,-y,-z 1/2+x,-y,z x,1/2+y,1/2+z 1/2-x,1/2+y,1/2-z -x,1/2-y,1/2-z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2-x,y,1/2-z -x,-y,-z 1/2+x,-y,1/2+z 1/2+x,1/2+y,z -x,1/2+y,1/2-z 1/2-x,1/2-y,-z x,1/2-y,1/2+z",
+  "x,y,z -x,y,1/2-z -x,-y,-z x,-y,1/2+z 1/2+x,1/2+y,1/2+z 1/2-x,1/2+y,-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2-y,z",
+  "x,y,z 1/2-x,-y,z -x,-y,-z 1/2+x,y,-z x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z -x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z",
+  "x,y,z 1/2-x,1/2-y,z -x,-y,-z 1/2+x,1/2+y,-z 1/2+x,y,1/2+z -x,1/2-y,1/2+z 1/2-x,-y,1/2-z x,1/2+y,1/2-z",
+  "x,y,z -x,1/2-y,z -x,-y,-z x,1/2+y,-z 1/2+x,1/2+y,1/2+z 1/2-x,-y,1/2+z 1/2-x,1/2-y,1/2-z 1/2+x,y,1/2-z",
+  "x,y,z -x,1/2-y,z -x,-y,-z x,1/2+y,-z 1/2+x,y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-x,-y,1/2-z 1/2+x,1/2+y,1/2-z",
+  "x,y,z 1/2-x,1/2-y,z -x,-y,-z 1/2+x,1/2+y,-z x,1/2+y,1/2+z 1/2-x,-y,1/2+z -x,1/2-y,1/2-z 1/2+x,y,1/2-z",
+  "x,y,z 1/2-x,-y,z -x,-y,-z 1/2+x,y,-z 1/2+x,1/2+y,1/2+z -x,1/2-y,1/2+z 1/2-x,1/2-y,1/2-z x,1/2+y,1/2-z",
+  "x,y,z x,1/2-y,-z -x,-y,-z -x,1/2+y,z 1/2+x,y,1/2+z 1/2+x,1/2-y,1/2-z 1/2-x,-y,1/2-z 1/2-x,1/2+y,1/2+z",
+  "x,y,z x,1/2-y,1/2-z -x,-y,-z -x,1/2+y,1/2+z 1/2+x,1/2+y,z 1/2+x,-y,1/2-z 1/2-x,1/2-y,-z 1/2-x,y,1/2+z",
+  "x,y,z x,-y,1/2-z -x,-y,-z -x,y,1/2+z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,-z 1/2-x,1/2-y,1/2-z 1/2-x,1/2+y,z",
+  "x,y,z x,-y,1/2-z -x,-y,-z -x,y,1/2+z 1/2+x,1/2+y,z 1/2+x,1/2-y,1/2-z 1/2-x,1/2-y,-z 1/2-x,1/2+y,1/2+z",
+  "x,y,z x,1/2-y,1/2-z -x,-y,-z -x,1/2+y,1/2+z 1/2+x,y,1/2+z 1/2+x,1/2-y,-z 1/2-x,-y,1/2-z 1/2-x,1/2+y,z",
+  "x,y,z x,1/2-y,-z -x,-y,-z -x,1/2+y,z 1/2+x,1/2+y,1/2+z 1/2+x,-y,1/2-z 1/2-x,1/2-y,1/2-z 1/2-x,y,1/2+z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z",
+  "x,y,z -x,-y,1/2+z -x,y,1/2-z x,-y,-z",
+  "x,y,z 1/2+x,-y,-z 1/2-x,-y,z -x,y,-z",
+  "x,y,z -x,1/2+y,-z x,1/2-y,-z -x,-y,z",
+  "x,y,z -x,-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z",
+  "x,y,z x,-y,-z -x,1/2-y,1/2+z -x,1/2+y,1/2-z",
+  "x,y,z -x,y,-z 1/2+x,-y,1/2-z 1/2-x,-y,1/2+z",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z",
+  "x,y,z -x,-y,1/2+z -x,y,1/2-z x,-y,-z 1/2+x,1/2+y,z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,-z",
+  "x,y,z 1/2+x,-y,-z 1/2-x,-y,z -x,y,-z x,1/2+y,1/2+z 1/2+x,1/2-y,1/2-z 1/2-x,1/2-y,1/2+z -x,1/2+y,1/2-z",
+  "x,y,z -x,1/2+y,-z x,1/2-y,-z -x,-y,z 1/2+x,y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2-x,-y,1/2+z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z",
+  "x,y,z x,-y,-z -x,-y,z -x,y,-z x,1/2+y,1/2+z x,1/2-y,1/2-z -x,1/2-y,1/2+z -x,1/2+y,1/2-z",
+  "x,y,z -x,y,-z x,-y,-z -x,-y,z 1/2+x,y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2-x,-y,1/2+z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z 1/2+x,1/2+y,1/2+z -x,1/2-y,z 1/2-x,y,-z x,-y,1/2-z",
+  "x,y,z -x,-y,z x,-y,z -x,y,z",
+  "x,y,z x,-y,-z x,y,-z x,-y,z",
+  "x,y,z -x,y,-z -x,y,z x,y,-z",
+  "x,y,z -x,-y,1/2+z x,-y,1/2+z -x,y,z",
+  "x,y,z -x,-y,1/2+z -x,y,1/2+z x,-y,z",
+  "x,y,z 1/2+x,-y,-z 1/2+x,y,-z x,-y,z",
+  "x,y,z 1/2+x,-y,-z x,y,-z 1/2+x,-y,z",
+  "x,y,z -x,1/2+y,-z x,y,-z -x,1/2+y,z",
+  "x,y,z -x,1/2+y,-z x,1/2+y,-z -x,y,z",
+  "x,y,z -x,-y,z x,-y,1/2+z -x,y,1/2+z",
+  "x,y,z x,-y,-z 1/2+x,y,-z 1/2+x,-y,z",
+  "x,y,z -x,y,-z -x,1/2+y,z x,1/2+y,-z",
+  "x,y,z -x,-y,z 1/2+x,-y,z 1/2-x,y,z",
+  "x,y,z -x,-y,z -x,1/2+y,z x,1/2-y,z",
+  "x,y,z x,-y,-z x,1/2+y,-z x,1/2-y,z",
+  "x,y,z x,-y,-z x,-y,1/2+z x,y,1/2-z",
+  "x,y,z -x,y,-z -x,y,1/2+z x,y,1/2-z",
+  "x,y,z -x,y,-z 1/2+x,y,-z 1/2-x,y,z",
+  "x,y,z -x,-y,1/2+z 1/2+x,-y,z 1/2-x,y,1/2+z",
+  "x,y,z -x,-y,1/2+z -x,1/2+y,z x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,-y,-z x,1/2+y,-z 1/2+x,1/2-y,z",
+  "x,y,z 1/2+x,-y,-z x,-y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z -x,1/2+y,-z -x,y,1/2+z x,1/2+y,1/2-z",
+  "x,y,z -x,1/2+y,-z 1/2+x,y,-z 1/2-x,1/2+y,z",
+  "x,y,z -x,-y,z x,1/2-y,1/2+z -x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z",
+  "x,y,z x,-y,-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z",
+  "x,y,z x,-y,-z 1/2+x,1/2-y,z 1/2+x,1/2+y,-z",
+  "x,y,z -x,y,-z 1/2-x,1/2+y,z 1/2+x,1/2+y,-z",
+  "x,y,z -x,y,-z x,1/2+y,1/2-z -x,1/2+y,1/2+z",
+  "x,y,z 1/2-x,-y,1/2+z 1/2+x,-y,1/2+z -x,y,z",
+  "x,y,z -x,1/2+y,1/2+z -x,1/2-y,1/2+z x,-y,z",
+  "x,y,z 1/2+x,1/2-y,-z 1/2+x,1/2+y,-z x,-y,z",
+  "x,y,z 1/2+x,-y,1/2-z 1/2+x,-y,1/2+z x,y,-z",
+  "x,y,z -x,1/2+y,1/2-z -x,1/2+y,1/2+z x,y,-z",
+  "x,y,z 1/2-x,1/2+y,-z 1/2+x,1/2+y,-z -x,y,z",
+  "x,y,z -x,-y,z 1/2+x,1/2-y,z 1/2-x,1/2+y,z",
+  "x,y,z x,-y,-z x,1/2+y,1/2-z x,1/2-y,1/2+z",
+  "x,y,z -x,y,-z 1/2-x,y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z -x,-y,1/2+z 1/2+x,1/2-y,z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,-y,1/2+z 1/2-x,1/2+y,z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,-y,-z x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,-y,-z x,1/2-y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,1/2+y,-z 1/2-x,y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,1/2+y,-z 1/2+x,y,1/2-z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z x,-y,-z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z",
+  "x,y,z -x,y,-z 1/2-x,1/2+y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,-y,z x,-y,z -x,y,z 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2+x,1/2-y,z 1/2-x,1/2+y,z",
+  "x,y,z x,-y,-z x,y,-z x,-y,z x,1/2+y,1/2+z x,1/2-y,1/2+z x,1/2-y,1/2-z x,1/2+y,1/2-z",
+  "x,y,z -x,y,-z -x,y,z x,y,-z 1/2+x,y,1/2+z 1/2-x,y,1/2-z 1/2-x,y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z -x,-y,1/2+z x,-y,1/2+z -x,y,z 1/2+x,1/2+y,z 1/2-x,1/2-y,1/2+z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,z",
+  "x,y,z -x,-y,1/2+z -x,y,1/2+z x,-y,z 1/2+x,1/2+y,z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2+x,1/2-y,z",
+  "x,y,z 1/2+x,-y,-z 1/2+x,y,-z x,-y,z x,1/2+y,1/2+z 1/2+x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,-y,-z 1/2+x,-y,z x,y,-z x,1/2+y,1/2+z 1/2+x,1/2-y,1/2-z 1/2+x,1/2-y,1/2+z x,1/2+y,1/2-z",
+  "x,y,z -x,1/2+y,-z -x,1/2+y,z x,y,-z 1/2+x,y,1/2+z 1/2-x,1/2+y,1/2-z 1/2-x,1/2+y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z -x,1/2+y,-z x,1/2+y,-z -x,y,z 1/2+x,y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2+y,1/2-z 1/2-x,y,1/2+z",
+  "x,y,z -x,-y,z -x,y,1/2+z x,-y,1/2+z 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,1/2+z 1/2+x,1/2-y,1/2+z",
+  "x,y,z x,-y,-z 1/2+x,-y,z 1/2+x,y,-z x,1/2+y,1/2+z x,1/2-y,1/2-z 1/2+x,1/2-y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,y,-z x,1/2+y,-z -x,1/2+y,z 1/2+x,y,1/2+z 1/2-x,y,1/2-z 1/2+x,1/2+y,1/2-z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z x,-y,z -x,y,z x,1/2+y,1/2+z -x,1/2-y,1/2+z x,1/2-y,1/2+z -x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z -x,y,z x,-y,z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z",
+  "x,y,z x,-y,-z x,y,-z x,-y,z 1/2+x,y,1/2+z 1/2+x,-y,1/2-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z",
+  "x,y,z x,-y,-z x,-y,z x,y,-z 1/2+x,1/2+y,z 1/2+x,1/2-y,-z 1/2+x,1/2-y,z 1/2+x,1/2+y,-z",
+  "x,y,z -x,y,-z -x,y,z x,y,-z 1/2+x,1/2+y,z 1/2-x,1/2+y,-z 1/2-x,1/2+y,z 1/2+x,1/2+y,-z",
+  "x,y,z -x,y,-z x,y,-z -x,y,z x,1/2+y,1/2+z -x,1/2+y,1/2-z x,1/2+y,1/2-z -x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z x,1/2-y,z -x,1/2+y,z x,1/2+y,1/2+z -x,1/2-y,1/2+z x,-y,1/2+z -x,y,1/2+z",
+  "x,y,z -x,-y,z 1/2-x,y,z 1/2+x,-y,z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z -x,y,1/2+z x,-y,1/2+z",
+  "x,y,z x,-y,-z x,y,1/2-z x,-y,1/2+z 1/2+x,y,1/2+z 1/2+x,-y,1/2-z 1/2+x,y,-z 1/2+x,-y,z",
+  "x,y,z x,-y,-z x,1/2-y,z x,1/2+y,-z 1/2+x,1/2+y,z 1/2+x,1/2-y,-z 1/2+x,-y,z 1/2+x,y,-z",
+  "x,y,z -x,y,-z 1/2-x,y,z 1/2+x,y,-z 1/2+x,1/2+y,z 1/2-x,1/2+y,-z -x,1/2+y,z x,1/2+y,-z",
+  "x,y,z -x,y,-z x,y,1/2-z -x,y,1/2+z x,1/2+y,1/2+z -x,1/2+y,1/2-z x,1/2+y,-z -x,1/2+y,z",
+  "x,y,z -x,-y,z 1/2+x,-y,z 1/2-x,y,z x,1/2+y,1/2+z -x,1/2-y,1/2+z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z -x,1/2+y,z x,1/2-y,z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2+x,1/2-y,1/2+z",
+  "x,y,z x,-y,-z x,1/2+y,-z x,1/2-y,z 1/2+x,y,1/2+z 1/2+x,-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z",
+  "x,y,z x,-y,-z x,-y,1/2+z x,y,1/2-z 1/2+x,1/2+y,z 1/2+x,1/2-y,-z 1/2+x,1/2-y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,y,-z -x,y,1/2+z x,y,1/2-z 1/2+x,1/2+y,z 1/2-x,1/2+y,-z 1/2-x,1/2+y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,y,-z 1/2+x,y,-z 1/2-x,y,z x,1/2+y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2+y,1/2-z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z 1/2+x,1/2-y,z 1/2-x,1/2+y,z x,1/2+y,1/2+z -x,1/2-y,1/2+z 1/2+x,-y,1/2+z 1/2-x,y,1/2+z",
+  "x,y,z -x,-y,z 1/2-x,1/2+y,z 1/2+x,1/2-y,z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z -x,1/2+y,1/2+z x,1/2-y,1/2+z",
+  "x,y,z x,-y,-z x,1/2+y,1/2-z x,1/2-y,1/2+z 1/2+x,y,1/2+z 1/2+x,-y,1/2-z 1/2+x,1/2+y,-z 1/2+x,1/2-y,z",
+  "x,y,z x,-y,-z x,1/2-y,1/2+z x,1/2+y,1/2-z 1/2+x,1/2+y,z 1/2+x,1/2-y,-z 1/2+x,-y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z -x,y,-z 1/2-x,y,1/2+z 1/2+x,y,1/2-z 1/2+x,1/2+y,z 1/2-x,1/2+y,-z -x,1/2+y,1/2+z x,1/2+y,1/2-z",
+  "x,y,z -x,y,-z 1/2+x,y,1/2-z 1/2-x,y,1/2+z x,1/2+y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2+y,-z 1/2-x,1/2+y,z",
+  "x,y,z -x,-y,z x,-y,z -x,y,z x,1/2+y,1/2+z -x,1/2-y,1/2+z x,1/2-y,1/2+z -x,1/2+y,1/2+z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2+x,-y,1/2+z 1/2-x,y,1/2+z 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2+x,1/2-y,z 1/2-x,1/2+y,z",
+  "x,y,z x,-y,-z x,y,-z x,-y,z 1/2+x,y,1/2+z 1/2+x,-y,1/2-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z 1/2+x,1/2+y,z 1/2+x,1/2-y,-z 1/2+x,1/2+y,-z 1/2+x,1/2-y,z x,1/2+y,1/2+z x,1/2-y,1/2-z x,1/2+y,1/2-z x,1/2-y,1/2+z",
+  "x,y,z -x,y,-z -x,y,z x,y,-z 1/2+x,1/2+y,z 1/2-x,1/2+y,-z 1/2-x,1/2+y,z 1/2+x,1/2+y,-z x,1/2+y,1/2+z -x,1/2+y,1/2-z -x,1/2+y,1/2+z x,1/2+y,1/2-z 1/2+x,y,1/2+z 1/2-x,y,1/2-z 1/2-x,y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z -x,-y,z 1/4+x,1/4-y,1/4+z 1/4-x,1/4+y,1/4+z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 3/4+x,1/4-y,3/4+z 3/4-x,1/4+y,3/4+z x,1/2+y,1/2+z -x,1/2-y,1/2+z 1/4+x,3/4-y,3/4+z 1/4-x,3/4+y,3/4+z 1/2+x,1/2+y,z 1/2-x,1/2-y,z 3/4+x,3/4-y,1/4+z 3/4-x,3/4+y,1/4+z",
+  "x,y,z x,-y,-z 1/4+x,1/4+y,1/4-z 1/4+x,1/4-y,1/4+z 1/2+x,1/2+y,z 1/2+x,1/2-y,-z 3/4+x,3/4+y,1/4-z 3/4+x,3/4-y,1/4+z 1/2+x,y,1/2+z 1/2+x,-y,1/2-z 3/4+x,1/4+y,3/4-z 3/4+x,1/4-y,3/4+z x,1/2+y,1/2+z x,1/2-y,1/2-z 1/4+x,3/4+y,3/4-z 1/4+x,3/4-y,3/4+z",
+  "x,y,z -x,y,-z 1/4-x,1/4+y,1/4+z 1/4+x,1/4+y,1/4-z x,1/2+y,1/2+z -x,1/2+y,1/2-z 1/4-x,3/4+y,3/4+z 1/4+x,3/4+y,3/4-z 1/2+x,1/2+y,z 1/2-x,1/2+y,-z 3/4-x,3/4+y,1/4+z 3/4+x,3/4+y,1/4-z 1/2+x,y,1/2+z 1/2-x,y,1/2-z 3/4-x,1/4+y,3/4+z 3/4+x,1/4+y,3/4-z",
+  "x,y,z -x,-y,z x,-y,z -x,y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z x,-y,-z x,y,-z x,-y,z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z",
+  "x,y,z -x,y,-z -x,y,z x,y,-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2+y,1/2-z 1/2-x,1/2+y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,-y,z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z x,-y,1/2+z -x,y,1/2+z",
+  "x,y,z x,-y,-z x,1/2+y,1/2-z x,1/2-y,1/2+z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,1/2-z 1/2+x,y,-z 1/2+x,-y,z",
+  "x,y,z -x,y,-z 1/2-x,y,1/2+z 1/2+x,y,1/2-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2+y,1/2-z -x,1/2+y,z x,1/2+y,-z",
+  "x,y,z -x,-y,z 1/2+x,-y,z 1/2-x,y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z x,1/2-y,1/2+z -x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z -x,1/2+y,z x,1/2-y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z",
+  "x,y,z x,-y,-z x,1/2+y,-z x,1/2-y,z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,1/2-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z",
+  "x,y,z x,-y,-z x,-y,1/2+z x,y,1/2-z 1/2+x,1/2+y,1/2+z 1/2+x,1/2-y,1/2-z 1/2+x,1/2-y,z 1/2+x,1/2+y,-z",
+  "x,y,z -x,y,-z -x,y,1/2+z x,y,1/2-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2+y,1/2-z 1/2-x,1/2+y,z 1/2+x,1/2+y,-z",
+  "x,y,z -x,y,-z 1/2+x,y,-z 1/2-x,y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2+y,1/2-z x,1/2+y,1/2-z -x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z -x,-y,-z x,y,-z x,-y,z -x,y,z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-x,y,1/2-z x,1/2-y,1/2-z -x,-y,-z 1/2+x,1/2+y,-z 1/2+x,-y,1/2+z -x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z -x,y,1/2-z x,-y,1/2-z -x,-y,-z x,y,-z x,-y,1/2+z -x,y,1/2+z",
+  "x,y,z x,-y,-z 1/2-x,-y,z 1/2-x,y,-z -x,-y,-z -x,y,z 1/2+x,y,-z 1/2+x,-y,z",
+  "x,y,z -x,y,-z x,1/2-y,-z -x,1/2-y,z -x,-y,-z x,-y,z -x,1/2+y,z x,1/2+y,-z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-x,y,-z x,1/2-y,-z -x,-y,-z 1/2+x,1/2+y,-z 1/2+x,-y,z -x,1/2+y,z",
+  "x,y,z -x,1/2+y,1/2+z x,1/2-y,1/2+z x,1/2+y,1/2-z -x,1/2-y,1/2-z x,-y,-z -x,y,-z -x,-y,z",
+  "x,y,z -x,1/2+y,1/2+z x,-y,1/2+z x,1/2+y,-z x,1/2-y,1/2-z -x,-y,-z -x,y,1/2-z -x,1/2-y,z",
+  "x,y,z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z 1/2+x,y,1/2-z 1/2-x,-y,1/2-z x,-y,-z -x,y,-z -x,-y,z",
+  "x,y,z -x,y,1/2+z 1/2+x,-y,1/2+z 1/2+x,y,-z x,-y,1/2-z -x,-y,-z 1/2-x,y,1/2-z 1/2-x,-y,z",
+  "x,y,z 1/2-x,-y,z -x,y,-z 1/2+x,-y,-z -x,-y,-z 1/2+x,y,-z x,-y,z 1/2-x,y,z",
+  "x,y,z -x,1/2-y,z x,-y,-z -x,1/2+y,-z -x,-y,-z x,1/2+y,-z -x,y,z x,1/2-y,z",
+  "x,y,z x,1/2-y,-z -x,-y,z -x,1/2+y,-z -x,-y,-z -x,1/2+y,z x,y,-z x,1/2-y,z",
+  "x,y,z x,-y,1/2-z -x,y,-z -x,-y,1/2+z -x,-y,-z -x,y,1/2+z x,-y,z x,y,1/2-z",
+  "x,y,z -x,y,1/2-z x,-y,-z -x,-y,1/2+z -x,-y,-z x,-y,1/2+z -x,y,z x,y,1/2-z",
+  "x,y,z 1/2-x,y,-z -x,-y,z 1/2+x,-y,-z -x,-y,-z 1/2+x,-y,z x,y,-z 1/2-x,y,z",
+  "x,y,z 1/2-x,-y,z 1/2-x,1/2+y,1/2-z x,1/2-y,1/2-z -x,-y,-z 1/2+x,y,-z 1/2+x,1/2-y,1/2+z -x,1/2+y,1/2+z",
+  "x,y,z -x,1/2-y,z 1/2+x,1/2-y,1/2-z 1/2-x,y,1/2-z -x,-y,-z x,1/2+y,-z 1/2-x,1/2+y,1/2+z 1/2+x,-y,1/2+z",
+  "x,y,z x,1/2-y,-z 1/2-x,1/2-y,1/2+z 1/2-x,y,1/2-z -x,-y,-z -x,1/2+y,z 1/2+x,1/2+y,1/2-z 1/2+x,-y,1/2+z",
+  "x,y,z x,-y,1/2-z 1/2-x,1/2+y,1/2-z 1/2-x,1/2-y,z -x,-y,-z -x,y,1/2+z 1/2+x,1/2-y,1/2+z 1/2+x,1/2+y,-z",
+  "x,y,z -x,y,1/2-z 1/2+x,1/2-y,1/2-z 1/2-x,1/2-y,z -x,-y,-z x,-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2+x,1/2+y,-z",
+  "x,y,z 1/2-x,y,-z 1/2-x,1/2-y,1/2+z x,1/2-y,1/2-z -x,-y,-z 1/2+x,-y,z 1/2+x,1/2+y,1/2-z -x,1/2+y,1/2+z",
+  "x,y,z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z x,-y,-z -x,-y,-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z -x,y,z",
+  "x,y,z -x,1/2-y,1/2+z x,1/2-y,1/2-z -x,y,-z -x,-y,-z x,1/2+y,1/2-z -x,1/2+y,1/2+z x,-y,z",
+  "x,y,z 1/2+x,1/2-y,-z 1/2-x,1/2-y,z -x,y,-z -x,-y,-z 1/2-x,1/2+y,z 1/2+x,1/2+y,-z x,-y,z",
+  "x,y,z 1/2+x,-y,1/2-z 1/2-x,y,1/2-z -x,-y,z -x,-y,-z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z x,y,-z",
+  "x,y,z -x,1/2+y,1/2-z x,1/2-y,1/2-z -x,-y,z -x,-y,-z x,1/2-y,1/2+z -x,1/2+y,1/2+z x,y,-z",
+  "x,y,z 1/2-x,1/2+y,-z 1/2-x,1/2-y,z x,-y,-z -x,-y,-z 1/2+x,1/2-y,z 1/2+x,1/2+y,-z -x,y,z",
+  "x,y,z 1/2-x,-y,z -x,y,1/2-z 1/2+x,-y,1/2-z -x,-y,-z 1/2+x,y,-z x,-y,1/2+z 1/2-x,y,1/2+z",
+  "x,y,z -x,1/2-y,z x,-y,1/2-z -x,1/2+y,1/2-z -x,-y,-z x,1/2+y,-z -x,y,1/2+z x,1/2-y,1/2+z",
+  "x,y,z x,1/2-y,-z 1/2-x,-y,z 1/2-x,1/2+y,-z -x,-y,-z -x,1/2+y,z 1/2+x,y,-z 1/2+x,1/2-y,z",
+  "x,y,z x,-y,1/2-z 1/2-x,y,-z 1/2-x,-y,1/2+z -x,-y,-z -x,y,1/2+z 1/2+x,-y,z 1/2+x,y,1/2-z",
+  "x,y,z -x,y,1/2-z x,1/2-y,-z -x,1/2-y,1/2+z -x,-y,-z x,-y,1/2+z -x,1/2+y,z x,1/2+y,1/2-z",
+  "x,y,z 1/2-x,y,-z -x,1/2-y,z 1/2+x,1/2-y,-z -x,-y,-z 1/2+x,-y,z x,1/2+y,-z 1/2-x,1/2+y,z",
+  "x,y,z -x,-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z -x,-y,-z x,y,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z",
+  "x,y,z x,-y,-z -x,1/2-y,1/2+z -x,1/2+y,1/2-z -x,-y,-z -x,y,z x,1/2+y,1/2-z x,1/2-y,1/2+z",
+  "x,y,z -x,y,-z 1/2+x,-y,1/2-z 1/2-x,-y,1/2+z -x,-y,-z x,-y,z 1/2-x,y,1/2+z 1/2+x,y,1/2-z",
+  "x,y,z 1/2-x,1/2-y,z -x,1/2+y,1/2-z 1/2+x,-y,1/2-z -x,-y,-z 1/2+x,1/2+y,-z x,1/2-y,1/2+z 1/2-x,y,1/2+z",
+  "x,y,z x,1/2-y,1/2-z 1/2-x,-y,1/2+z 1/2-x,1/2+y,-z -x,-y,-z -x,1/2+y,1/2+z 1/2+x,y,1/2-z 1/2+x,1/2-y,z",
+  "x,y,z 1/2-x,y,1/2-z 1/2+x,1/2-y,-z -x,1/2-y,1/2+z -x,-y,-z 1/2+x,-y,1/2+z 1/2-x,1/2+y,z x,1/2+y,1/2-z",
+  "x,y,z -x,-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,-z -x,-y,-z x,y,1/2-z x,1/2-y,1/2+z -x,1/2+y,z",
+  "x,y,z -x,-y,1/2+z 1/2+x,-y,1/2-z 1/2-x,y,-z -x,-y,-z x,y,1/2-z 1/2-x,y,1/2+z 1/2+x,-y,z",
+  "x,y,z 1/2+x,-y,-z 1/2-x,-y,1/2+z -x,y,1/2-z -x,-y,-z 1/2-x,y,z 1/2+x,y,1/2-z x,-y,1/2+z",
+  "x,y,z 1/2+x,-y,-z 1/2-x,1/2+y,-z -x,1/2-y,z -x,-y,-z 1/2-x,y,z 1/2+x,1/2-y,z x,1/2+y,-z",
+  "x,y,z -x,1/2+y,-z 1/2+x,1/2-y,-z 1/2-x,-y,z -x,-y,-z x,1/2-y,z 1/2-x,1/2+y,z 1/2+x,y,-z",
+  "x,y,z -x,1/2+y,-z -x,1/2-y,1/2+z x,-y,1/2-z -x,-y,-z x,1/2-y,z x,1/2+y,1/2-z -x,y,1/2+z",
+  "x,y,z -x,-y,z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z -x,-y,-z x,y,-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z x,-y,-z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z -x,-y,-z -x,y,z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z",
+  "x,y,z -x,y,-z 1/2+x,1/2-y,1/2-z 1/2-x,1/2-y,1/2+z -x,-y,-z x,-y,z 1/2-x,1/2+y,1/2+z 1/2+x,1/2+y,1/2-z",
+  "x,y,z -x,-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z x,-y,z -x,y,z",
+  "x,y,z 1/2-x,1/2-y,z -x,1/2+y,-z 1/2+x,-y,-z -x,-y,-z 1/2+x,1/2+y,-z x,1/2-y,z 1/2-x,y,z",
+  "x,y,z -x,1/2+y,1/2+z x,-y,z x,y,-z -x,1/2-y,1/2-z x,-y,-z -x,1/2+y,1/2-z -x,1/2-y,1/2+z",
+  "x,y,z -x,1/2+y,1/2+z x,1/2-y,z x,y,1/2-z -x,-y,-z x,1/2-y,1/2-z -x,1/2+y,-z -x,-y,1/2+z",
+  "x,y,z -x,y,z 1/2+x,-y,1/2+z x,y,-z 1/2-x,-y,1/2-z 1/2+x,-y,1/2-z -x,y,-z 1/2-x,-y,1/2+z",
+  "x,y,z 1/2-x,y,z 1/2+x,-y,1/2+z x,y,1/2-z -x,-y,-z 1/2+x,-y,-z 1/2-x,y,1/2-z -x,-y,1/2+z",
+  "x,y,z 1/2-x,1/2-y,1/2+z -x,y,1/2-z 1/2+x,1/2-y,-z -x,-y,-z 1/2+x,1/2+y,1/2-z x,-y,1/2+z 1/2-x,1/2+y,z",
+  "x,y,z 1/2-x,1/2-y,1/2+z x,-y,1/2-z 1/2-x,1/2+y,-z -x,-y,-z 1/2+x,1/2+y,1/2-z -x,y,1/2+z 1/2+x,1/2-y,z",
+  "x,y,z 1/2+x,1/2-y,1/2-z 1/2-x,-y,z -x,1/2+y,1/2-z -x,-y,-z 1/2-x,1/2+y,1/2+z 1/2+x,y,-z x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,1/2-y,1/2-z 1/2-x,y,-z -x,1/2-y,1/2+z -x,-y,-z 1/2-x,1/2+y,1/2+z 1/2+x,-y,z x,1/2+y,1/2-z",
+  "x,y,z 1/2-x,1/2+y,1/2-z x,1/2-y,-z 1/2-x,-y,1/2+z -x,-y,-z 1/2+x,1/2-y,1/2+z -x,1/2+y,z 1/2+x,y,1/2-z",
+  "x,y,z 1/2-x,1/2+y,1/2-z -x,1/2-y,z 1/2+x,-y,1/2-z -x,-y,-z 1/2+x,1/2-y,1/2+z x,1/2+y,-z 1/2-x,y,1/2+z",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z -x,-y,-z 1/2+x,y,1/2-z x,1/2-y,1/2+z 1/2-x,1/2+y,z",
+  "x,y,z -x,1/2-y,1/2+z 1/2+x,-y,1/2-z 1/2-x,1/2+y,-z -x,-y,-z x,1/2+y,1/2-z 1/2-x,y,1/2+z 1/2+x,1/2-y,z",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,-z 1/2+x,1/2-y,1/2-z -x,-y,-z 1/2+x,y,1/2-z x,1/2-y,z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,1/2-y,1/2+z 1/2+x,-y,-z 1/2-x,1/2+y,1/2-z -x,-y,-z x,1/2+y,1/2-z 1/2-x,y,z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,1/2-y,-z -x,-y,1/2+z 1/2-x,1/2+y,1/2-z -x,-y,-z 1/2-x,1/2+y,z x,y,1/2-z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2+x,-y,1/2-z -x,1/2+y,-z 1/2-x,1/2-y,1/2+z -x,-y,-z 1/2-x,y,1/2+z x,1/2-y,z 1/2+x,1/2+y,1/2-z",
+  "x,y,z 1/2-x,y,z x,1/2-y,1/2+z 1/2+x,1/2+y,1/2-z -x,-y,-z 1/2+x,-y,-z -x,1/2+y,1/2-z 1/2-x,1/2-y,1/2+z",
+  "x,y,z 1/2-x,1/2+y,1/2+z 1/2+x,1/2-y,z x,y,1/2-z -x,-y,-z 1/2+x,1/2-y,1/2-z 1/2-x,1/2+y,-z -x,-y,1/2+z",
+  "x,y,z -x,-y,1/2+z -x,y,1/2-z x,-y,-z -x,-y,-z x,y,1/2-z x,-y,1/2+z -x,y,z 1/2+x,1/2+y,z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,z",
+  "x,y,z -x,y,1/2+z x,-y,z x,y,1/2-z -x,-y,-z x,-y,1/2-z -x,y,-z -x,-y,1/2+z 1/2+x,1/2+y,z 1/2-x,1/2+y,1/2+z 1/2+x,1/2-y,z 1/2+x,1/2-y,1/2-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,1/2-z 1/2-x,1/2+y,-z 1/2-x,1/2-y,1/2+z",
+  "x,y,z 1/2-x,y,z x,-y,z 1/2+x,-y,-z -x,-y,-z 1/2+x,y,-z -x,y,-z 1/2-x,-y,z x,1/2+y,1/2+z 1/2-x,1/2+y,1/2+z x,1/2-y,1/2+z 1/2+x,1/2-y,1/2-z -x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z -x,1/2+y,1/2-z 1/2-x,1/2-y,1/2+z",
+  "x,y,z 1/2-x,y,z 1/2+x,-y,z x,y,-z -x,-y,-z 1/2+x,-y,-z 1/2-x,y,-z -x,-y,z x,1/2+y,1/2+z 1/2-x,1/2+y,1/2+z 1/2+x,1/2-y,1/2+z x,1/2+y,1/2-z -x,1/2-y,1/2-z 1/2+x,1/2-y,1/2-z 1/2-x,1/2+y,1/2-z -x,1/2-y,1/2+z",
+  "x,y,z -x,1/2+y,z x,1/2-y,z x,y,-z -x,-y,-z x,1/2-y,-z -x,1/2+y,-z -x,-y,z 1/2+x,y,1/2+z 1/2-x,1/2+y,1/2+z 1/2+x,1/2-y,1/2+z 1/2+x,y,1/2-z 1/2-x,-y,1/2-z 1/2+x,1/2-y,1/2-z 1/2-x,1/2+y,1/2-z 1/2-x,-y,1/2+z",
+  "x,y,z -x,y,z x,1/2-y,z x,1/2+y,-z -x,-y,-z x,-y,-z -x,1/2+y,-z -x,1/2-y,z 1/2+x,y,1/2+z 1/2-x,y,1/2+z 1/2+x,1/2-y,1/2+z 1/2+x,1/2+y,1/2-z 1/2-x,-y,1/2-z 1/2+x,-y,1/2-z 1/2-x,1/2+y,1/2-z 1/2-x,1/2-y,1/2+z",
+  "x,y,z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,-y,-z -x,-y,-z x,1/2+y,1/2-z x,1/2-y,1/2+z -x,y,z 1/2+x,1/2+y,z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,1/2-y,-z 1/2-x,1/2-y,-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z 1/2-x,1/2+y,z",
+  "x,y,z -x,1/2+y,1/2+z x,-y,z x,1/2+y,1/2-z -x,-y,-z x,1/2-y,1/2-z -x,y,-z -x,1/2-y,1/2+z 1/2+x,1/2+y,z 1/2-x,y,1/2+z 1/2+x,1/2-y,z 1/2+x,y,1/2-z 1/2-x,1/2-y,-z 1/2+x,-y,1/2-z 1/2-x,1/2+y,-z 1/2-x,-y,1/2+z",
+  "x,y,z 1/2-x,1/2+y,z x,-y,z 1/2+x,1/2+y,-z -x,-y,-z 1/2+x,1/2-y,-z -x,y,-z 1/2-x,1/2-y,z x,1/2+y,1/2+z 1/2-x,y,1/2+z x,1/2-y,1/2+z 1/2+x,y,1/2-z -x,1/2-y,1/2-z 1/2+x,-y,1/2-z -x,1/2+y,1/2-z 1/2-x,-y,1/2+z",
+  "x,y,z 1/2-x,1/2+y,z 1/2+x,1/2-y,z x,y,-z -x,-y,-z 1/2+x,1/2-y,-z 1/2-x,1/2+y,-z -x,-y,z x,1/2+y,1/2+z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z x,1/2+y,1/2-z -x,1/2-y,1/2-z 1/2+x,-y,1/2-z 1/2-x,y,1/2-z -x,1/2-y,1/2+z",
+  "x,y,z -x,1/2+y,1/2+z x,1/2-y,1/2+z x,y,-z -x,-y,-z x,1/2-y,1/2-z -x,1/2+y,1/2-z -x,-y,z 1/2+x,y,1/2+z 1/2-x,1/2+y,z 1/2+x,1/2-y,z 1/2+x,y,1/2-z 1/2-x,-y,1/2-z 1/2+x,1/2-y,-z 1/2-x,1/2+y,-z 1/2-x,-y,1/2+z",
+  "x,y,z -x,y,z x,1/2-y,1/2+z x,1/2+y,1/2-z -x,-y,-z x,-y,-z -x,1/2+y,1/2-z -x,1/2-y,1/2+z 1/2+x,y,1/2+z 1/2-x,y,1/2+z 1/2+x,1/2-y,z 1/2+x,1/2+y,-z 1/2-x,-y,1/2-z 1/2+x,-y,1/2-z 1/2-x,1/2+y,-z 1/2-x,1/2-y,z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z -x,-y,-z x,y,-z x,-y,z -x,y,z 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z",
+  "x,y,z -x,-y,z x,-y,-z -x,y,-z -x,-y,-z x,y,-z -x,y,z x,-y,z x,1/2+y,1/2+z -x,1/2-y,1/2+z x,1/2-y,1/2-z -x,1/2+y,1/2-z -x,1/2-y,1/2-z x,1/2+y,1/2-z -x,1/2+y,1/2+z x,1/2-y,1/2+z",
+  "x,y,z -x,-y,z x,-y,-z -x,y,-z -x,-y,-z x,y,-z -x,y,z x,-y,z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2+x,-y,1/2-z 1/2-x,y,1/2-z 1/2-x,-y,1/2-z 1/2+x,y,1/2-z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z",
+  "x,y,z -x,-y,z -x,y,1/2-z x,-y,1/2-z -x,-y,-z x,y,-z x,-y,1/2+z -x,y,1/2+z 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z 1/2-x,-y,z x,-y,-z 1/2-x,y,-z -x,-y,-z 1/2+x,y,-z -x,y,z 1/2+x,-y,z x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z x,1/2-y,1/2-z 1/2-x,1/2+y,1/2-z -x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z -x,1/2+y,1/2+z 1/2+x,1/2-y,1/2+z",
+  "x,y,z -x,1/2-y,z x,1/2-y,-z -x,y,-z -x,-y,-z x,1/2+y,-z -x,1/2+y,z x,-y,z 1/2+x,y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+x,1/2-y,1/2-z 1/2-x,y,1/2-z 1/2-x,-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2-x,1/2+y,1/2+z 1/2+x,-y,1/2+z",
+  "x,y,z -x,1/2-y,z -x,1/2+y,-z x,-y,-z -x,-y,-z x,1/2+y,-z x,1/2-y,z -x,y,z 1/2+x,1/2+y,z 1/2-x,-y,z 1/2-x,y,-z 1/2+x,1/2-y,-z 1/2-x,1/2-y,-z 1/2+x,y,-z 1/2+x,-y,z 1/2-x,1/2+y,z",
+  "x,y,z -x,1/2-y,z x,1/2-y,-z -x,y,-z -x,-y,-z x,1/2+y,-z -x,1/2+y,z x,-y,z 1/2+x,1/2+y,z 1/2-x,-y,z 1/2+x,-y,-z 1/2-x,1/2+y,-z 1/2-x,1/2-y,-z 1/2+x,y,-z 1/2-x,y,z 1/2+x,1/2-y,z",
+  "x,y,z -x,-y,1/2+z x,-y,1/2-z -x,y,-z -x,-y,-z x,y,1/2-z -x,y,1/2+z x,-y,z# x,1/2+y,1/2+z -x,1/2-y,z x,1/2-y,-z -x,1/2+y,1/2-z -x,1/2-y,1/2-z x,1/2+y,-z -x,1/2+y,z x,1/2-y,1/2+z",
+  "x,y,z -x,-y,z x,-y,1/2-z -x,y,1/2-z -x,-y,-z x,y,-z -x,y,1/2+z x,-y,1/2+z x,1/2+y,1/2+z -x,1/2-y,1/2+z x,1/2-y,-z -x,1/2+y,-z -x,1/2-y,1/2-z x,1/2+y,1/2-z -x,1/2+y,z x,1/2-y,z",
+  "x,y,z -x,-y,z x,-y,1/2-z -x,y,1/2-z -x,-y,-z x,y,-z -x,y,1/2+z x,-y,1/2+z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2+x,-y,-z 1/2-x,y,-z# 1/2-x,-y,1/2-z 1/2+x,y,1/2-z 1/2-x,y,z 1/2+x,-y,z",
+  "x,y,z -x,-y,1/2+z x,-y,-z -x,y,1/2-z -x,-y,-z x,y,1/2-z -x,y,z x,-y,1/2+z 1/2+x,y,1/2+z 1/2-x,-y,z 1/2+x,-y,1/2-z 1/2-x,y,-z 1/2-x,-y,1/2-z 1/2+x,y,-z 1/2-x,y,1/2+z 1/2+x,-y,z",
+  "x,y,z 1/2-x,1/2-y,z -x,y,-z 1/2+x,1/2-y,-z -x,1/2-y,1/2-z 1/2+x,y,1/2-z x,1/2-y,1/2+z 1/2-x,y,1/2+z 1/2+x,1/2+y,z -x,-y,z 1/2-x,1/2+y,-z x,-y,-z 1/2-x,-y,1/2-z x,1/2+y,1/2-z 1/2+x,-y,1/2+z -x,1/2+y,1/2+z",
+  "x,y,z 1/2-x,-y,z -x,y,1/2-z 1/2+x,-y,1/2-z -x,-y,-z 1/2+x,y,-z x,-y,1/2+z 1/2-x,y,1/2+z 1/2+x,1/2+y,z -x,1/2-y,z 1/2-x,1/2+y,1/2-z x,1/2-y,1/2-z 1/2-x,1/2-y,-z x,1/2+y,-z 1/2+x,1/2-y,1/2+z -x,1/2+y,1/2+z",
+  "x,y,z 1/2-x,1/2-y,z -x,y,-z 1/2+x,1/2-y,-z -x,1/2-y,1/2-z 1/2+x,y,1/2-z x,1/2-y,1/2+z 1/2-x,y,1/2+z 1/2+x,1/2+y,z -x,-y,z 1/2-x,1/2+y,-z x,-y,-z 1/2-x,-y,1/2-z x,1/2+y,1/2-z 1/2+x,-y,1/2+z -x,1/2+y,1/2+z",
+  "x,y,z -x,1/2-y,z x,-y,1/2-z -x,1/2+y,1/2-z -x,-y,-z x,1/2+y,-z -x,y,1/2+z x,1/2-y,1/2+z 1/2+x,1/2+y,z 1/2-x,-y,z 1/2+x,1/2-y,1/2-z 1/2-x,y,1/2-z 1/2-x,1/2-y,-z 1/2+x,y,-z 1/2-x,1/2+y,1/2+z 1/2+x,-y,1/2+z",
+  "x,y,z -x,-y,z x,-y,-z -x,y,-z 1/2-x,-y,1/2-z 1/2+x,y,1/2-z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z x,1/2+y,1/2+z -x,1/2-y,1/2+z x,1/2-y,1/2-z -x,1/2+y,1/2-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2-x,1/2+y,z 1/2+x,1/2-y,z",
+  "x,y,z 1/2-x,-y,z x,-y,1/2-z 1/2-x,y,1/2-z -x,-y,-z 1/2+x,y,-z -x,y,1/2+z 1/2+x,-y,1/2+z x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z x,1/2-y,-z 1/2-x,1/2+y,-z -x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z -x,1/2+y,z 1/2+x,1/2-y,z",
+  "x,y,z -x,-y,z x,-y,-z -x,y,-z 1/2-x,-y,1/2-z 1/2+x,y,1/2-z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z x,1/2+y,1/2+z -x,1/2-y,1/2+z x,1/2-y,1/2-z -x,1/2+y,1/2-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2-x,1/2+y,z 1/2+x,1/2-y,z",
+  "x,y,z 1/2-x,-y,1/2+z x,-y,1/2-z 1/2-x,y,-z -x,-y,-z 1/2+x,y,1/2-z -x,y,1/2+z 1/2+x,-y,z x,1/2+y,1/2+z 1/2-x,1/2-y,z x,1/2-y,-z 1/2-x,1/2+y,1/2-z -x,1/2-y,1/2-z 1/2+x,1/2+y,-z -x,1/2+y,z 1/2+x,1/2-y,1/2+z",
+  "x,y,z -x,-y,z x,-y,-z -x,y,-z -x,1/2-y,1/2-z x,1/2+y,1/2-z -x,1/2+y,1/2+z x,1/2-y,1/2+z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2+x,-y,1/2-z 1/2-x,y,1/2-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2-x,1/2+y,z 1/2+x,1/2-y,z",
+  "x,y,z -x,1/2-y,1/2+z x,1/2-y,-z -x,y,1/2-z -x,-y,-z x,1/2+y,1/2-z -x,1/2+y,z x,-y,1/2+z 1/2+x,y,1/2+z 1/2-x,1/2-y,z+ 1/2+x,1/2-y,1/2-z 1/2-x,y,-z 1/2-x,-y,1/2-z 1/2+x,1/2+y,-z 1/2-x,1/2+y,1/2+z 1/2+x,-y,z",
+  "x,y,z -x,-y,z x,-y,-z -x,y,-z -x,1/2-y,1/2-z x,1/2+y,1/2-z -x,1/2+y,1/2+z x,1/2-y,1/2+z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2+x,-y,1/2-z 1/2-x,y,1/2-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2-x,1/2+y,z 1/2+x,1/2-y,z",
+  "x,y,z -x,1/2-y,z x,1/2-y,1/2-z -x,y,1/2-z -x,-y,-z x,1/2+y,-z -x,1/2+y,1/2+z x,-y,1/2+z 1/2+x,y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+x,1/2-y,-z 1/2-x,y,-z 1/2-x,-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2-x,1/2+y,z 1/2+x,-y,z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z -x,-y,-z x,y,-z x,-y,z -x,y,z x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z -x,1/2-y,1/2-z x,1/2+y,1/2-z x,1/2-y,1/2+z -x,1/2+y,1/2+z 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2-x,-y,1/2-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z 1/2-x,y,1/2+z 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z",
+  "x,y,z -x,y,-z 1/4-x,1/4-y,1/4-z 1/4+x,1/4-y,1/4+z x,-y,-z -x,-y,z 1/4-x,1/4+y,1/4+z 1/4+x,1/4+y,1/4-z x,1/2+y,1/2+z 1/2+x,y,1/2+z 1/2+x,1/2+y,z -x,1/2+y,1/2-z 1/2-x,y,1/2-z 1/2-x,1/2+y,-z 1/4-x,3/4-y,3/4-z 3/4-x,1/4-y,3/4-z 3/4-x,3/4-y,1/4-z 1/4+x,3/4-y,3/4+z 3/4+x,1/4-y,3/4+z 3/4+x,3/4-y,1/4+z x,1/2-y,1/2-z 1/2+x,-y,1/2-z 1/2+x,1/2-y,-z -x,1/2-y,1/2+z 1/2-x,-y,1/2+z 1/2-x,1/2-y,z 1/4-x,3/4+y,3/4+z 3/4-x,1/4+y,3/4+z 3/4-x,3/4+y,1/4+z 1/4+x,3/4+y,3/4-z 3/4+x,1/4+y,3/4-z 3/4+x,3/4+y,1/4-z",
+  "x,y,z 1/4-x,1/4-y,z x,1/4-y,1/4-z 1/4-x,y,1/4-z -x,-y,-z 3/4+x,3/4+y,-z -x,3/4+y,3/4+z 3/4+x,-y,3/4+z x,1/2+y,1/2+z 1/4-x,3/4-y,1/2+z x,3/4-y,3/4-z 1/4-x,1/2+y,3/4-z -x,1/2-y,1/2-z 3/4+x,1/4+y,1/2-z -x,1/4+y,1/4+z 3/4+x,1/2-y,1/4+z 1/2+x,y,1/2+z 3/4-x,1/4-y,1/2+z 1/2+x,1/4-y,3/4-z 3/4-x,y,3/4-z 1/2-x,-y,1/2-z 1/4+x,3/4+y,1/2-z 1/2-x,3/4+y,1/4+z 1/4+x,-y,1/4+z 1/2+x,1/2+y,z 3/4-x,3/4-y,z 1/2+x,3/4-y,1/4-z 3/4-x,1/2+y,1/4-z 1/2-x,1/2-y,-z 1/4+x,1/4+y,-z 1/2-x,1/4+y,3/4+z 1/4+x,1/2-y,3/4+z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z -x,-y,-z x,y,-z x,-y,z -x,y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z -x,-y,z x,-y,1/2-z -x,y,1/2-z -x,-y,-z x,y,-z -x,y,1/2+z x,-y,1/2+z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+x,1/2-y,-z 1/2-x,1/2+y,-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2-x,1/2+y,z 1/2+x,1/2-y,z",
+  "x,y,z 1/2-x,-y,z x,-y,-z 1/2-x,y,-z -x,-y,-z 1/2+x,y,-z -x,y,z 1/2+x,-y,z 1/2+x,1/2+y,1/2+z -x,1/2-y,1/2+z 1/2+x,1/2-y,1/2-z -x,1/2+y,1/2-z 1/2-x,1/2-y,1/2-z x,1/2+y,1/2-z 1/2-x,1/2+y,1/2+z x,1/2-y,1/2+z",
+  "x,y,z -x,1/2-y,z x,1/2-y,-z -x,y,-z -x,-y,-z x,1/2+y,-z -x,1/2+y,z x,-y,z 1/2+x,1/2+y,1/2+z 1/2-x,-y,1/2+z 1/2+x,-y,1/2-z 1/2-x,1/2+y,1/2-z 1/2-x,1/2-y,1/2-z 1/2+x,y,1/2-z 1/2-x,y,1/2+z 1/2+x,1/2-y,1/2+z",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z -x,-y,-z 1/2+x,y,1/2-z x,1/2-y,1/2+z 1/2-x,1/2+y,z 1/2+x,1/2+y,1/2+z -x,1/2-y,z 1/2-x,y,-z x,-y,1/2-z 1/2-x,1/2-y,1/2-z x,1/2+y,-z 1/2+x,-y,z -x,y,1/2+z",
+  "x,y,z 1/2-x,-y,z x,1/2-y,-z -x,y,1/2-z -x,-y,-z 1/2+x,y,-z -x,1/2+y,z x,-y,1/2+z 1/2+x,1/2+y,1/2+z -x,1/2-y,1/2+z 1/2+x,-y,1/2-z 1/2-x,1/2+y,-z 1/2-x,1/2-y,1/2-z x,1/2+y,1/2-z 1/2-x,y,1/2+z 1/2+x,1/2-y,z",
+  "x,y,z -x,1/2-y,z -x,1/2+y,-z x,-y,-z -x,-y,-z x,1/2+y,-z x,1/2-y,z -x,y,z 1/2+x,1/2+y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,1/2-y,1/2-z 1/2-x,1/2-y,1/2-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z 1/2-x,1/2+y,1/2+z",
+  "x,y,z 1/2-x,-y,z 1/2+x,-y,-z -x,y,-z -x,-y,-z 1/2+x,y,-z 1/2-x,y,z x,-y,z 1/2+x,1/2+y,1/2+z -x,1/2-y,1/2+z x,1/2-y,1/2-z 1/2-x,1/2+y,1/2-z 1/2-x,1/2-y,1/2-z x,1/2+y,1/2-z -x,1/2+y,1/2+z 1/2+x,1/2-y,1/2+z",
+  "x,y,z -x,-y,1/2+z x,-y,1/2-z -x,y,-z -x,-y,-z x,y,1/2-z -x,y,1/2+z x,-y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,z 1/2+x,1/2-y,-z 1/2-x,1/2+y,1/2-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,-z 1/2-x,1/2+y,z 1/2+x,1/2-y,1/2+z",
+  "x,y,z -x,-y,z x,1/2-y,-z -x,1/2+y,-z -x,-y,-z x,y,-z -x,1/2+y,z x,1/2-y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+x,-y,1/2-z 1/2-x,y,1/2-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2-x,y,1/2+z 1/2+x,-y,1/2+z",
+  "x,y,z -x,-y,z 1/2+x,-y,-z 1/2-x,y,-z -x,-y,-z x,y,-z 1/2-x,y,z 1/2+x,-y,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z x,1/2-y,1/2-z -x,1/2+y,1/2-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z -x,1/2+y,1/2+z x,1/2-y,1/2+z",
+  "x,y,z -x,-y,1/2+z x,-y,-z -x,y,1/2-z -x,-y,-z x,y,1/2-z -x,y,z x,-y,1/2+z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,z 1/2+x,1/2-y,1/2-z 1/2-x,1/2+y,-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,-z 1/2-x,1/2+y,1/2+z 1/2+x,1/2-y,z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z",
+  "x,y,z -x,-y,1/2+z -y,x,1/4+z y,-x,3/4+z",
+  "x,y,z -x,-y,z -y,x,1/2+z y,-x,1/2+z",
+  "x,y,z -x,-y,1/2+z -y,x,3/4+z y,-x,1/4+z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z",
+  "x,y,z 1/2-x,1/2-y,1/2+z -y,1/2+x,1/4+z 1/2+y,-x,3/4+z 1/2+x,1/2+y,1/2+z -x,-y,z 1/2-y,x,3/4+z y,1/2-x,1/4+z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z -x,-y,-z x,y,-z y,-x,-z -y,x,-z",
+  "x,y,z -x,-y,z -y,x,1/2+z y,-x,1/2+z -x,-y,-z x,y,-z y,-x,1/2-z -y,x,1/2-z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,z 1/2+y,1/2-x,z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z y,-x,-z -y,x,-z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-y,x,z y,1/2-x,z -x,-y,-z 1/2+x,1/2+y,-z 1/2+y,-x,-z -y,1/2+x,-z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z y,-x,-z -y,x,-z",
+  "x,y,z 1/2-x,1/2-y,z -y,1/2+x,1/2+z 1/2+y,-x,1/2+z -x,-y,-z 1/2+x,1/2+y,-z y,1/2-x,1/2-z 1/2-y,x,1/2-z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z -x,-y,-z x,y,-z y,-x,-z -y,x,-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z",
+  "x,y,z 1/2-x,1/2-y,1/2+z -y,1/2+x,1/4+z 1/2+y,-x,3/4+z -x,1/2-y,1/4-z 1/2+x,y,3/4-z y,-x,-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2+y,1/2+z -x,-y,z 1/2-y,x,3/4+z y,1/2-x,1/4+z 1/2-x,-y,3/4-z x,1/2+y,1/4-z 1/2+y,1/2-x,1/2-z -y,x,-z",
+  "x,y,z 1/2-x,-y,1/2+z 3/4-y,1/4+x,1/4+z 3/4+y,3/4-x,3/4+z -x,-y,-z 1/2+x,y,1/2-z 1/4+y,3/4-x,3/4-z 1/4-y,1/4+x,1/4-z 1/2+x,1/2+y,1/2+z -x,1/2-y,z 1/4-y,3/4+x,3/4+z 1/4+y,1/4-x,1/4+z 1/2-x,1/2-y,1/2-z x,1/2+y,-z 3/4+y,1/4-x,1/4-z 3/4-y,3/4+x,3/4-z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z -x,y,-z x,-y,-z y,x,-z -y,-x,-z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,z 1/2+y,1/2-x,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z y,x,-z -y,-x,-z",
+  "x,y,z -x,-y,1/2+z -y,x,1/4+z y,-x,3/4+z -x,y,-z x,-y,1/2-z y,x,3/4-z -y,-x,1/4-z",
+  "x,y,z -x,-y,1/2+z 1/2-y,1/2+x,1/4+z 1/2+y,1/2-x,3/4+z 1/2-x,1/2+y,1/4-z 1/2+x,1/2-y,3/4-z y,x,-z -y,-x,1/2-z",
+  "x,y,z -x,-y,z -y,x,1/2+z y,-x,1/2+z -x,y,-z x,-y,-z y,x,1/2-z -y,-x,1/2-z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z y,x,-z -y,-x,-z",
+  "x,y,z -x,-y,1/2+z -y,x,3/4+z y,-x,1/4+z -x,y,-z x,-y,1/2-z y,x,1/4-z -y,-x,3/4-z",
+  "x,y,z -x,-y,1/2+z 1/2-y,1/2+x,3/4+z 1/2+y,1/2-x,1/4+z 1/2-x,1/2+y,3/4-z 1/2+x,1/2-y,1/4-z y,x,-z -y,-x,1/2-z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z -x,y,-z x,-y,-z y,x,-z -y,-x,-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z",
+  "x,y,z 1/2-x,1/2-y,1/2+z -y,1/2+x,1/4+z 1/2+y,-x,3/4+z 1/2-x,y,3/4-z x,1/2-y,1/4-z 1/2+y,1/2+x,1/2-z -y,-x,-z 1/2+x,1/2+y,1/2+z -x,-y,z 1/2-y,x,3/4+z y,1/2-x,1/4+z -x,1/2+y,1/4-z 1/2+x,-y,3/4-z y,x,-z 1/2-y,1/2-x,1/2-z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z x,-y,z -x,y,z -y,-x,z y,x,z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2-y,1/2-x,z 1/2+y,1/2+x,z",
+  "x,y,z -x,-y,z -y,x,1/2+z y,-x,1/2+z x,-y,1/2+z -x,y,1/2+z -y,-x,z y,x,z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z -y,-x,z y,x,z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z x,-y,1/2+z -x,y,1/2+z -y,-x,1/2+z y,x,1/2+z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z -y,x,1/2+z y,-x,1/2+z x,-y,z -x,y,z -y,-x,1/2+z y,x,1/2+z",
+  "x,y,z -x,-y,z -y,x,1/2+z y,-x,1/2+z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z x,-y,z -x,y,z -y,-x,z y,x,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z x,-y,1/2+z -x,y,1/2+z -y,-x,1/2+z y,x,1/2+z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2-y,1/2-x,z 1/2+y,1/2+x,z",
+  "x,y,z 1/2-x,1/2-y,1/2+z -y,1/2+x,1/4+z 1/2+y,-x,3/4+z x,-y,z 1/2-x,1/2+y,1/2+z -y,1/2-x,1/4+z 1/2+y,x,3/4+z 1/2+x,1/2+y,1/2+z -x,-y,z 1/2-y,x,3/4+z y,1/2-x,1/4+z 1/2+x,1/2-y,1/2+z -x,y,z 1/2-y,-x,3/4+z y,1/2+x,1/4+z",
+  "x,y,z 1/2-x,1/2-y,1/2+z -y,1/2+x,1/4+z 1/2+y,-x,3/4+z x,-y,1/2+z 1/2-x,1/2+y,z -y,1/2-x,3/4+z 1/2+y,x,1/4+z 1/2+x,1/2+y,1/2+z -x,-y,z 1/2-y,x,3/4+z y,1/2-x,1/4+z 1/2+x,1/2-y,z -x,y,1/2+z 1/2-y,-x,1/4+z y,1/2+x,3/4+z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z -x,y,-z x,-y,-z -y,-x,z y,x,z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z -x,y,1/2-z x,-y,1/2-z -y,-x,1/2+z y,x,1/2+z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2-y,1/2-x,z 1/2+y,1/2+x,z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z x,-y,z -x,y,z y,x,-z -y,-x,-z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z x,-y,1/2+z -x,y,1/2+z y,x,1/2-z -y,-x,1/2-z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2+y,1/2+x,-z 1/2-y,1/2-x,-z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z x,-y,z -x,y,z y,x,-z -y,-x,-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z x,-y,1/2+z -x,y,1/2+z y,x,1/2-z -y,-x,1/2-z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2+y,1/2+x,-z 1/2-y,1/2-x,-z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z -x,y,-z x,-y,-z -y,-x,z y,x,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z y,-x,-z -y,x,-z 1/2-x,y,3/4-z 1/2+x,-y,3/4-z 1/2-y,-x,3/4+z 1/2+y,x,3/4+z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z -x,1/2+y,1/4-z x,1/2-y,1/4-z -y,1/2-x,1/4+z y,1/2+x,1/4+z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z -x,y,-z x,-y,-z y,x,-z -y,-x,-z -x,-y,-z x,y,-z y,-x,-z -y,x,-z x,-y,z -x,y,z -y,-x,z y,x,z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z -x,y,1/2-z x,-y,1/2-z y,x,1/2-z -y,-x,1/2-z -x,-y,-z x,y,-z y,-x,-z -y,x,-z x,-y,1/2+z -x,y,1/2+z -y,-x,1/2+z y,x,1/2+z",
+  "x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z y,x,-z -x,y,-z -y,-x,-z 1/2-x,1/2-y,-z 1/2+y,1/2-x,-z 1/2+x,1/2+y,-z 1/2-y,1/2+x,-z 1/2-x,1/2+y,z 1/2-y,1/2-x,z 1/2+x,1/2-y,z 1/2+y,1/2+x,z",
+  "x,y,z 1/2-y,x,z 1/2-x,1/2-y,z y,1/2-x,z x,1/2-y,-z y,x,-z 1/2-x,y,-z 1/2-y,1/2-x,-z -x,-y,-z 1/2+y,-x,-z 1/2+x,1/2+y,-z -y,1/2+x,-z -x,1/2+y,z -y,-x,z 1/2+x,-y,z 1/2+y,1/2+x,z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z -x,y,-z x,-y,-z y,x,-z -y,-x,-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-y,x,z y,1/2-x,z 1/2-x,y,1/2-z x,1/2-y,1/2-z y,x,1/2-z 1/2-y,1/2-x,1/2-z -x,-y,-z 1/2+x,1/2+y,-z 1/2+y,-x,-z -y,1/2+x,-z 1/2+x,-y,1/2+z -x,1/2+y,1/2+z -y,-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+y,1/2+x,-z 1/2-y,1/2-x,-z -x,-y,-z x,y,-z y,-x,-z -y,x,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2-y,1/2-x,z 1/2+y,1/2+x,z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z -x,-y,-z x,y,-z y,-x,-z -y,x,-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,z 1/2+y,1/2-x,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z y,x,-z -y,-x,-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z y,-x,-z -y,x,-z x,-y,z -x,y,z 1/2-y,1/2-x,z 1/2+y,1/2+x,z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-y,x,z y,1/2-x,z -x,1/2+y,-z 1/2+x,-y,-z 1/2+y,1/2+x,-z -y,-x,-z -x,-y,-z 1/2+x,1/2+y,-z 1/2+y,-x,-z -y,1/2+x,-z x,1/2-y,z 1/2-x,y,z 1/2-y,1/2-x,z y,x,z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,z 1/2+y,1/2-x,z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z y,x,1/2-z -y,-x,1/2-z 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z y,-x,-z -y,x,-z x,-y,1/2+z -x,y,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-y,x,z y,1/2-x,z -x,1/2+y,1/2-z 1/2+x,-y,1/2-z 1/2+y,1/2+x,1/2-z -y,-x,1/2-z -x,-y,-z 1/2+x,1/2+y,-z 1/2+y,-x,-z -y,1/2+x,-z x,1/2-y,1/2+z 1/2-x,y,1/2+z 1/2-y,1/2-x,1/2+z y,x,1/2+z",
+  "x,y,z -x,-y,z -y,x,1/2+z y,-x,1/2+z -x,y,-z x,-y,-z y,x,1/2-z -y,-x,1/2-z -x,-y,-z x,y,-z y,-x,1/2-z -y,x,1/2-z x,-y,z -x,y,z -y,-x,1/2+z y,x,1/2+z",
+  "x,y,z -x,-y,z -y,x,1/2+z y,-x,1/2+z -x,y,1/2-z x,-y,1/2-z y,x,-z -y,-x,-z -x,-y,-z x,y,-z y,-x,1/2-z -y,x,1/2-z x,-y,1/2+z -x,y,1/2+z -y,-x,z y,x,z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z -x,y,1/2-z x,-y,1/2-z 1/2+y,1/2+x,-z 1/2-y,1/2-x,-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z y,-x,-z -y,x,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z -y,-x,1/2+z y,x,1/2+z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-y,x,1/2+z y,1/2-x,1/2+z 1/2-x,y,-z x,1/2-y,-z y,x,1/2-z 1/2-y,1/2-x,1/2-z -x,-y,-z 1/2+x,1/2+y,-z 1/2+y,-x,1/2-z -y,1/2+x,1/2-z 1/2+x,-y,z -x,1/2+y,z -y,-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z -x,y,-z x,-y,-z 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z y,-x,-z -y,x,-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z -y,-x,z y,x,z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-y,x,1/2+z y,1/2-x,1/2+z 1/2-x,y,1/2-z x,1/2-y,1/2-z y,x,-z 1/2-y,1/2-x,-z -x,-y,-z 1/2+x,1/2+y,-z 1/2+y,-x,1/2-z -y,1/2+x,1/2-z 1/2+x,-y,1/2+z -x,1/2+y,1/2+z -y,-x,z 1/2+y,1/2+x,z",
+  "x,y,z -x,-y,z -y,x,1/2+z y,-x,1/2+z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z -x,-y,-z x,y,-z y,-x,1/2-z -y,x,1/2-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z y,x,-z -y,-x,-z -x,-y,-z x,y,-z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z -y,-x,z y,x,z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z y,x,-z -y,-x,-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z y,-x,-z -y,x,-z x,-y,z -x,y,z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-y,x,1/2+z y,1/2-x,1/2+z -x,1/2+y,-z 1/2+x,-y,-z 1/2+y,1/2+x,1/2-z -y,-x,1/2-z -x,-y,-z 1/2+x,1/2+y,-z 1/2+y,-x,1/2-z -y,1/2+x,1/2-z x,1/2-y,z 1/2-x,y,z 1/2-y,1/2-x,1/2+z y,x,1/2+z",
+  "x,y,z -x,-y,z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z y,x,1/2-z -y,-x,1/2-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z y,-x,-z -y,x,-z x,-y,1/2+z -x,y,1/2+z 1/2-y,1/2-x,z 1/2+y,1/2+x,z",
+  "x,y,z 1/2-x,1/2-y,z 1/2-y,x,1/2+z y,1/2-x,1/2+z -x,1/2+y,1/2-z 1/2+x,-y,1/2-z 1/2+y,1/2+x,-z -y,-x,-z -x,-y,-z 1/2+x,1/2+y,-z 1/2+y,-x,1/2-z -y,1/2+x,1/2-z x,1/2-y,1/2+z 1/2-x,y,1/2+z 1/2-y,1/2-x,z y,x,z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z -x,y,-z x,-y,-z y,x,-z -y,-x,-z -x,-y,-z x,y,-z y,-x,-z -y,x,-z x,-y,z -x,y,z -y,-x,z y,x,z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z",
+  "x,y,z -x,-y,z -y,x,z y,-x,z -x,y,1/2-z x,-y,1/2-z y,x,1/2-z -y,-x,1/2-z -x,-y,-z x,y,-z y,-x,-z -y,x,-z x,-y,1/2+z -x,y,1/2+z -y,-x,1/2+z y,x,1/2+z 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-y,1/2+x,1/2+z 1/2+y,1/2-x,1/2+z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+y,1/2+x,-z 1/2-y,1/2-x,-z 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2-y,1/2-x,z 1/2+y,1/2+x,z",
+  "x,y,z 1/2-x,1/2-y,1/2+z -y,1/2+x,1/4+z 1/2+y,-x,3/4+z 1/2-x,y,3/4-z x,1/2-y,1/4-z 1/2+y,1/2+x,1/2-z -y,-x,-z -x,1/2-y,1/4-z 1/2+x,y,3/4-z y,-x,-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2-y,1/2+z -x,y,z 1/2-y,-x,3/4+z y,1/2+x,1/4+z 1/2+x,1/2+y,1/2+z -x,-y,z 1/2-y,x,3/4+z y,1/2-x,1/4+z -x,1/2+y,1/4-z 1/2+x,-y,3/4-z y,x,-z 1/2-y,1/2-x,1/2-z 1/2-x,-y,3/4-z x,1/2+y,1/4-z 1/2+y,1/2-x,1/2-z -y,x,-z x,-y,z 1/2-x,1/2+y,1/2+z -y,1/2-x,1/4+z 1/2+y,x,3/4+z",
+  "x,y,z 1/2-x,-y,1/2+z 1/4-y,3/4+x,1/4+z 1/4+y,1/4-x,3/4+z 1/2-x,y,1/2-z x,-y,-z 1/4+y,3/4+x,1/4-z 1/4-y,1/4-x,3/4-z -x,-y,-z 1/2+x,y,1/2-z 3/4+y,1/4-x,3/4-z 3/4-y,3/4+x,1/4-z 1/2+x,-y,1/2+z -x,y,z 3/4-y,1/4-x,3/4+z 3/4+y,3/4+x,1/4+z 1/2+x,1/2+y,1/2+z -x,1/2-y,z 3/4-y,1/4+x,3/4+z 3/4+y,3/4-x,1/4+z -x,1/2+y,-z 1/2+x,1/2-y,1/2-z 3/4+y,1/4+x,3/4-z 3/4-y,3/4-x,1/4-z 1/2-x,1/2-y,1/2-z x,1/2+y,-z 1/4+y,3/4-x,1/4-z 1/4-y,1/4+x,3/4-z x,1/2-y,z 1/2-x,1/2+y,1/2+z 1/4-y,3/4-x,1/4+z 1/4+y,1/4+x,3/4+z",
+  "x,y,z 1/2-x,1/2-y,1/2+z -y,1/2+x,1/4+z 1/2+y,-x,3/4+z 1/2-x,y,1/4-z x,1/2-y,3/4-z 1/2+y,1/2+x,-z -y,-x,1/2-z -x,1/2-y,1/4-z 1/2+x,y,3/4-z y,-x,-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2-y,z -x,y,1/2+z 1/2-y,-x,1/4+z y,1/2+x,3/4+z 1/2+x,1/2+y,1/2+z -x,-y,z 1/2-y,x,3/4+z y,1/2-x,1/4+z -x,1/2+y,3/4-z 1/2+x,-y,1/4-z y,x,1/2-z 1/2-y,1/2-x,-z 1/2-x,-y,3/4-z x,1/2+y,1/4-z 1/2+y,1/2-x,1/2-z -y,x,-z x,-y,1/2+z 1/2-x,1/2+y,z -y,1/2-x,3/4+z 1/2+y,x,1/4+z",
+  "x,y,z 1/2-x,-y,1/2+z 1/4-y,3/4+x,1/4+z 1/4+y,1/4-x,3/4+z 1/2-x,y,-z x,-y,1/2-z 1/4+y,3/4+x,3/4-z 1/4-y,1/4-x,1/4-z -x,-y,-z 1/2+x,y,1/2-z 3/4+y,1/4-x,3/4-z 3/4-y,3/4+x,1/4-z 1/2+x,-y,z -x,y,1/2+z 3/4-y,1/4-x,1/4+z 3/4+y,3/4+x,3/4+z 1/2+x,1/2+y,1/2+z -x,1/2-y,z 3/4-y,1/4+x,3/4+z 3/4+y,3/4-x,1/4+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z 3/4+y,1/4+x,1/4-z 3/4-y,3/4-x,3/4-z 1/2-x,1/2-y,1/2-z x,1/2+y,-z 1/4+y,3/4-x,1/4-z 1/4-y,1/4+x,3/4-z x,1/2-y,1/2+z 1/2-x,1/2+y,z 1/4-y,3/4-x,3/4+z 1/4+y,1/4+x,1/4+z",
+  "x,y,z -y,x-y,z y-x,-x,z",
+  "x,y,z -y,x-y,1/3+z y-x,-x,2/3+z",
+  "x,y,z -y,x-y,2/3+z y-x,-x,1/3+z",
+  "x,y,z -y,x-y,z y-x,-x,z 2/3+x,1/3+y,1/3+z 2/3-y,1/3+x-y,1/3+z 2/3+y-x,1/3-x,1/3+z 1/3+x,2/3+y,2/3+z 1/3-y,2/3+x-y,2/3+z 1/3+y-x,2/3-x,2/3+z",
+  "x,y,z z,x,y y,z,x",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,-z y,y-x,-z x-y,x,-z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,-z y,y-x,-z x-y,x,-z 2/3+x,1/3+y,1/3+z 2/3-y,1/3+x-y,1/3+z 2/3+y-x,1/3-x,1/3+z 2/3-x,1/3-y,1/3-z 2/3+y,1/3+y-x,1/3-z 2/3+x-y,1/3+x,1/3-z 1/3+x,2/3+y,2/3+z 1/3-y,2/3+x-y,2/3+z 1/3+y-x,2/3-x,2/3+z 1/3-x,2/3-y,2/3-z 1/3+y,2/3+y-x,2/3-z 1/3+x-y,2/3+x,2/3-z",
+  "x,y,z z,x,y y,z,x -x,-y,-z -z,-x,-y -y,-z,-x",
+  "x,y,z -y,x-y,z y-x,-x,z -y,-x,-z y-x,y,-z x,x-y,-z",
+  "x,y,z -y,x-y,z y-x,-x,z y,x,-z x-y,-y,-z -x,y-x,-z",
+  "x,y,z -y,x-y,1/3+z y-x,-x,2/3+z -y,-x,2/3-z y-x,y,1/3-z x,x-y,-z",
+  "x,y,z -y,x-y,1/3+z y-x,-x,2/3+z y,x,-z x-y,-y,2/3-z -x,y-x,1/3-z",
+  "x,y,z -y,x-y,2/3+z y-x,-x,1/3+z -y,-x,1/3-z y-x,y,2/3-z x,x-y,-z",
+  "x,y,z -y,x-y,2/3+z y-x,-x,1/3+z y,x,-z x-y,-y,1/3-z -x,y-x,2/3-z",
+  "x,y,z -y,x-y,z -x+y,-x,z y,x,-z -x,-x+y,-z x-y,-y,-z 2/3+x,1/3+y,1/3+z 2/3-y,1/3+x-y,1/3+z 2/3-x+y,1/3-x,1/3+z 2/3+y,1/3+x,1/3-z 2/3-x,1/3-x+y,1/3-z 2/3+x-y,1/3-y,1/3-z 1/3+x,2/3+y,2/3+z 1/3-y,2/3+x-y,2/3+z 1/3-x+y,2/3-x,2/3+z 1/3+y,2/3+x,2/3-z 1/3-x,2/3-x+y,2/3-z 1/3+x-y,2/3-y,2/3-z",
+  "x,y,z z,x,y y,z,x -y,-x,-z -z,-y,-x -x,-z,-y",
+  "x,y,z -y,x-y,z y-x,-x,z -y,-x,z y-x,y,z x,x-y,z",
+  "x,y,z -y,x-y,z y-x,-x,z y,x,z x-y,-y,z -x,y-x,z",
+  "x,y,z -y,x-y,z y-x,-x,z -y,-x,1/2+z y-x,y,1/2+z x,x-y,1/2+z",
+  "x,y,z -y,x-y,z y-x,-x,z y,x,1/2+z x-y,-y,1/2+z -x,y-x,1/2+z",
+  "x,y,z -y,x-y,z y-x,-x,z y,x,-z x-y,-y,-z -x,y-x,-z 2/3+x,1/3+y,1/3+z 2/3-y,1/3+x-y,1/3+z 2/3+y-x,1/3-x,1/3+z 2/3+y,1/3+x,1/3-z 2/3+x-y,1/3-y,1/3-z 2/3-x,1/3+y-x,1/3-z 1/3+x,2/3+y,2/3+z 1/3-y,2/3+x-y,2/3+z 1/3+y-x,2/3-x,2/3+z 1/3+y,2/3+x,2/3-z 1/3+x-y,2/3-y,2/3-z 1/3-x,2/3+y-x,2/3-z",
+  "x,y,z z,x,y y,z,x y,x,z x,z,y z,y,x",
+  "x,y,z -y,x-y,z y-x,-x,z -y,-x,1/2+z y-x,y,1/2+z x,x-y,1/2+z 2/3+x,1/3+y,1/3+z 2/3-y,1/3+x-y,1/3+z 2/3+y-x,1/3-x,1/3+z 2/3-y,1/3-x,5/6+z 2/3+y-x,1/3+y,5/6+z 2/3+x,1/3+x-y,5/6+z 1/3+x,2/3+y,2/3+z 1/3-y,2/3+x-y,2/3+z 1/3+y-x,2/3-x,2/3+z 1/3-y,2/3-x,1/6+z 1/3+y-x,2/3+y,1/6+z 1/3+x,2/3+x-y,1/6+z",
+  "x,y,z z,x,y y,z,x 1/2+y,1/2+x,1/2+z 1/2+x,1/2+z,1/2+y 1/2+z,1/2+y,1/2+x",
+  "x,y,z -y,x-y,z y-x,-x,z -y,-x,-z y-x,y,-z x,x-y,-z -x,-y,-z y,y-x,-z x-y,x,-z y,x,z x-y,-y,z -x,y-x,z",
+  "x,y,z -y,x-y,z y-x,-x,z -y,-x,1/2-z y-x,y,1/2-z x,x-y,1/2-z -x,-y,-z y,y-x,-z x-y,x,-z y,x,1/2+z x-y,-y,1/2+z -x,y-x,1/2+z",
+  "x,y,z -y,x-y,z y-x,-x,z y,x,-z x-y,-y,-z -x,y-x,-z -x,-y,-z y,y-x,-z x-y,x,-z -y,-x,z y-x,y,z x,x-y,z",
+  "x,y,z -y,x-y,z y-x,-x,z y,x,1/2-z x-y,-y,1/2-z -x,y-x,1/2-z -x,-y,-z y,y-x,-z x-y,x,-z -y,-x,1/2+z y-x,y,1/2+z x,x-y,1/2+z",
+  "x,y,z 2/3+x,1/3+y,1/3+z 1/3+x,2/3+y,2/3+z x,x-y,z 2/3+x,1/3+x-y,1/3+z 1/3+x,2/3+x-y,2/3+z y,x,-z 2/3+y,1/3+x,1/3-z 1/3+y,2/3+x,2/3-z -x+y,y,z 2/3-x+y,1/3+y,1/3+z 1/3-x+y,2/3+y,2/3+z -x,-x+y,-z 2/3-x,1/3-x+y,1/3-z 1/3-x,2/3-x+y,2/3-z -y,-x,z 2/3-y,1/3-x,1/3+z 1/3-y,2/3-x,2/3+z x-y,-y,-z 2/3+x-y,1/3-y,1/3-z 1/3+x-y,2/3-y,2/3-z y,-x+y,-z 2/3+y,1/3-x+y,1/3-z 1/3+y,2/3-x+y,2/3-z -x+y,-x,z 2/3-x+y,1/3-x,1/3+z 1/3-x+y,2/3-x,2/3+z -x,-y,-z 2/3-x,1/3-y,1/3-z 1/3-x,2/3-y,2/3-z -y,x-y,z 2/3-y,1/3+x-y,1/3+z 1/3-y,2/3+x-y,2/3+z x-y,x,-z 2/3+x-y,1/3+x,1/3-z 1/3+x-y,2/3+x,2/3-z",
+  "x,y,z z,x,y y,z,x -y,-x,-z -x,-z,-y -z,-y,-x -x,-y,-z -z,-x,-y -y,-z,-x y,x,z x,z,y z,y,x",
+  "x,y,z -y,x-y,z -x+y,-x,z y,x,-z+1/2 -x,-x+y,-z+1/2 x-y,-y,-z+1/2 -x,-y,-z y,-x+y,-z x-y,x,-z -y,-x,z-1/2 x,x-y,z-1/2 -x+y,y,z-1/2 x+2/3,y+1/3,z+1/3 -y+2/3,x-y+1/3,z+1/3 -x+y+2/3,-x+1/3,z+1/3 y+2/3,x+1/3,-z+5/6 -x+2/3,-x+y+1/3,-z+5/6 x-y+2/3,-y+1/3,-z+5/6 -x+2/3,-y+1/3,-z+1/3 y+2/3,-x+y+1/3,-z+1/3 x-y+2/3,x+1/3,-z+1/3 -y+2/3,-x+1/3,z-1/6 x+2/3,x-y+1/3,z-1/6 -x+y+2/3,y+1/3,z-1/6 x+1/3,y+2/3,z+2/3 -y+1/3,x-y+2/3,z+2/3 -x+y+1/3,-x+2/3,z+2/3 y+1/3,x+2/3,-z+7/6 -x+1/3,-x+y+2/3,-z+7/6 x-y+1/3,-y+2/3,-z+7/6 -x+1/3,-y+2/3,-z+2/3 y+1/3,-x+y+2/3,-z+2/3 x-y+1/3,x+2/3,-z+2/3 -y+1/3,-x+2/3,z+1/6 x+1/3,x-y+2/3,z+1/6 -x+y+1/3,y+2/3,z+1/6",
+  "x,y,z z,x,y y,z,x 1/2-y,1/2-x,1/2-z 1/2-x,1/2-z,1/2-y 1/2-z,1/2-y,1/2-x -x,-y,-z -z,-x,-y -y,-z,-x 1/2+y,1/2+x,1/2+z 1/2+x,1/2+z,1/2+y 1/2+z,1/2+y,1/2+x",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,z y,y-x,z x-y,x,z",
+  "x,y,z -y,x-y,1/3+z y-x,-x,2/3+z -x,-y,1/2+z y,y-x,5/6+z x-y,x,1/6+z",
+  "x,y,z -y,x-y,2/3+z y-x,-x,1/3+z -x,-y,1/2+z y,y-x,1/6+z x-y,x,5/6+z",
+  "x,y,z -y,x-y,2/3+z y-x,-x,1/3+z -x,-y,z y,y-x,2/3+z x-y,x,1/3+z",
+  "x,y,z -y,x-y,1/3+z y-x,-x,2/3+z -x,-y,z y,y-x,1/3+z x-y,x,2/3+z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,1/2+z y,y-x,1/2+z x-y,x,1/2+z",
+  "x,y,z -y,x-y,z y-x,-x,z x,y,-z -y,x-y,-z y-x,-x,-z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,z y,y-x,z x-y,x,z -x,-y,-z y,y-x,-z x-y,x,-z x,y,-z -y,x-y,-z y-x,-x,-z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,1/2+z y,y-x,1/2+z x-y,x,1/2+z -x,-y,-z y,y-x,-z x-y,x,-z x,y,1/2-z -y,x-y,1/2-z y-x,-x,1/2-z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,z y,y-x,z x-y,x,z y,x,-z x-y,-y,-z -x,y-x,-z -y,-x,-z y-x,y,-z x,x-y,-z",
+  "x,y,z -y,x-y,1/3+z y-x,-x,2/3+z -x,-y,1/2+z y,y-x,5/6+z x-y,x,1/6+z y,x,1/3-z x-y,-y,-z -x,y-x,2/3-z -y,-x,5/6-z y-x,y,1/2-z x,x-y,1/6-z",
+  "x,y,z -y,x-y,2/3+z y-x,-x,1/3+z -x,-y,1/2+z y,y-x,1/6+z x-y,x,5/6+z y,x,2/3-z x-y,-y,-z -x,y-x,1/3-z -y,-x,1/6-z y-x,y,1/2-z x,x-y,5/6-z",
+  "x,y,z -y,x-y,2/3+z y-x,-x,1/3+z -x,-y,z y,y-x,2/3+z x-y,x,1/3+z y,x,2/3-z x-y,-y,-z -x,y-x,1/3-z -y,-x,2/3-z y-x,y,-z x,x-y,1/3-z",
+  "x,y,z -y,x-y,1/3+z y-x,-x,2/3+z -x,-y,z y,y-x,1/3+z x-y,x,2/3+z y,x,1/3-z x-y,-y,-z -x,y-x,2/3-z -y,-x,1/3-z y-x,y,-z x,x-y,2/3-z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,1/2+z y,y-x,1/2+z x-y,x,1/2+z y,x,-z x-y,-y,-z -x,y-x,-z -y,-x,1/2-z y-x,y,1/2-z x,x-y,1/2-z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,z y,y-x,z x-y,x,z -y,-x,z y-x,y,z x,x-y,z y,x,z x-y,-y,z -x,y-x,z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,z y,y-x,z x-y,x,z -y,-x,1/2+z y-x,y,1/2+z x,x-y,1/2+z y,x,1/2+z x-y,-y,1/2+z -x,y-x,1/2+z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,1/2+z y,y-x,1/2+z x-y,x,1/2+z -y,-x,1/2+z y-x,y,1/2+z x,x-y,1/2+z y,x,z x-y,-y,z -x,y-x,z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,1/2+z y,y-x,1/2+z x-y,x,1/2+z -y,-x,z y-x,y,z x,x-y,z y,x,1/2+z x-y,-y,1/2+z -x,y-x,1/2+z",
+  "x,y,z -y,x-y,z y-x,-x,z x,y,-z -y,x-y,-z y-x,-x,-z -y,-x,z y-x,y,z x,x-y,z -y,-x,-z y-x,y,-z x,x-y,-z",
+  "x,y,z -y,x-y,z y-x,-x,z x,y,1/2-z -y,x-y,1/2-z y-x,-x,1/2-z -y,-x,1/2+z y-x,y,1/2+z x,x-y,1/2+z -y,-x,-z y-x,y,-z x,x-y,-z",
+  "x,y,z -y,x-y,z y-x,-x,z x,y,-z -y,x-y,-z y-x,-x,-z y,x,-z x-y,-y,-z -x,y-x,-z y,x,z x-y,-y,z -x,y-x,z",
+  "x,y,z -y,x-y,z y-x,-x,z x,y,1/2-z -y,x-y,1/2-z y-x,-x,1/2-z y,x,-z x-y,-y,-z -x,y-x,-z y,x,1/2+z x-y,-y,1/2+z -x,y-x,1/2+z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,z y,y-x,z x-y,x,z y,x,-z x-y,-y,-z -x,y-x,-z -y,-x,-z y-x,y,-z x,x-y,-z -x,-y,-z y,y-x,-z x-y,x,-z x,y,-z -y,x-y,-z y-x,-x,-z -y,-x,z y-x,y,z x,x-y,z y,x,z x-y,-y,z -x,y-x,z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,z y,y-x,z x-y,x,z y,x,1/2-z x-y,-y,1/2-z -x,y-x,1/2-z -y,-x,1/2-z y-x,y,1/2-z x,x-y,1/2-z -x,-y,-z y,y-x,-z x-y,x,-z x,y,-z -y,x-y,-z y-x,-x,-z -y,-x,1/2+z y-x,y,1/2+z x,x-y,1/2+z y,x,1/2+z x-y,-y,1/2+z -x,y-x,1/2+z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,1/2+z y,y-x,1/2+z x-y,x,1/2+z y,x,1/2-z x-y,-y,1/2-z -x,y-x,1/2-z -y,-x,-z y-x,y,-z x,x-y,-z -x,-y,-z y,y-x,-z x-y,x,-z x,y,1/2-z -y,x-y,1/2-z y-x,-x,1/2-z -y,-x,1/2+z y-x,y,1/2+z x,x-y,1/2+z y,x,z x-y,-y,z -x,y-x,z",
+  "x,y,z -y,x-y,z y-x,-x,z -x,-y,1/2+z y,y-x,1/2+z x-y,x,1/2+z y,x,-z x-y,-y,-z -x,y-x,-z -y,-x,1/2-z y-x,y,1/2-z x,x-y,1/2-z -x,-y,-z y,y-x,-z x-y,x,-z x,y,1/2-z -y,x-y,1/2-z y-x,-x,1/2-z -y,-x,z y-x,y,z x,x-y,z y,x,1/2+z x-y,-y,1/2+z -x,y-x,1/2+z",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z z,1/2+x,1/2+y z,1/2-x,1/2-y -z,1/2-x,1/2+y -z,1/2+x,1/2-y y,1/2+z,1/2+x -y,1/2+z,1/2-x y,1/2-z,1/2-x -y,1/2-z,1/2+x 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+z,x,1/2+y 1/2+z,-x,1/2-y 1/2-z,-x,1/2+y 1/2-z,x,1/2-y 1/2+y,z,1/2+x 1/2-y,z,1/2-x 1/2+y,-z,1/2-x 1/2-y,-z,1/2+x 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+z,1/2+x,y 1/2+z,1/2-x,-y 1/2-z,1/2-x,y 1/2-z,1/2+x,-y 1/2+y,1/2+z,x 1/2-y,1/2+z,-x 1/2+y,1/2-z,-x 1/2-y,1/2-z,x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2+z,1/2+x,1/2+y 1/2+z,1/2-x,1/2-y 1/2-z,1/2-x,1/2+y 1/2-z,1/2+x,1/2-y 1/2+y,1/2+z,1/2+x 1/2-y,1/2+z,1/2-x 1/2+y,1/2-z,1/2-x 1/2-y,1/2-z,1/2+x",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z z,x,y 1/2+z,1/2-x,-y 1/2-z,-x,1/2+y -z,1/2+x,1/2-y y,z,x -y,1/2+z,1/2-x 1/2+y,1/2-z,-x 1/2-y,-z,1/2+x",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z z,x,y 1/2+z,1/2-x,-y 1/2-z,-x,1/2+y -z,1/2+x,1/2-y y,z,x -y,1/2+z,1/2-x 1/2+y,1/2-z,-x 1/2-y,-z,1/2+x 1/2+x,1/2+y,1/2+z -x,1/2-y,z 1/2-x,y,-z x,-y,1/2-z 1/2+z,1/2+x,1/2+y z,-x,1/2-y -z,1/2-x,y 1/2-z,x,-y 1/2+y,1/2+z,1/2+x 1/2-y,z,-x y,-z,1/2-x -y,1/2-z,x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x -x,-y,-z x,y,-z x,-y,z -x,y,z -z,-x,-y -z,x,y z,x,-y z,-x,y -y,-z,-x y,-z,x -y,z,x y,z,-x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2-z,1/2-x,1/2-y 1/2-z,1/2+x,1/2+y 1/2+z,1/2+x,1/2-y 1/2+z,1/2-x,1/2+y 1/2-y,1/2-z,1/2-x 1/2+y,1/2-z,1/2+x 1/2-y,1/2+z,1/2+x 1/2+y,1/2+z,1/2-x",
+  "x,y,z 1/2-x,1/2-y,z 1/2-x,y,1/2-z x,1/2-y,1/2-z z,x,y z,1/2-x,1/2-y 1/2-z,1/2-x,y 1/2-z,x,1/2-y y,z,x 1/2-y,z,1/2-x y,1/2-z,1/2-x 1/2-y,1/2-z,x -x,-y,-z 1/2+x,1/2+y,-z 1/2+x,-y,1/2+z -x,1/2+y,1/2+z -z,-x,-y -z,1/2+x,1/2+y 1/2+z,1/2+x,-y 1/2+z,-x,1/2+y -y,-z,-x 1/2+y,-z,1/2+x -y,1/2+z,1/2+x 1/2+y,1/2+z,-x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x -x,-y,-z x,y,-z x,-y,z -x,y,z -z,-x,-y -z,x,y z,x,-y z,-x,y -y,-z,-x y,-z,x -y,z,x y,z,-x x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z z,1/2+x,1/2+y z,1/2-x,1/2-y -z,1/2-x,1/2+y -z,1/2+x,1/2-y y,1/2+z,1/2+x -y,1/2+z,1/2-x y,1/2-z,1/2-x -y,1/2-z,1/2+x -x,1/2-y,1/2-z x,1/2+y,1/2-z x,1/2-y,1/2+z -x,1/2+y,1/2+z -z,1/2-x,1/2-y -z,1/2+x,1/2+y z,1/2+x,1/2-y z,1/2-x,1/2+y -y,1/2-z,1/2-x y,1/2-z,1/2+x -y,1/2+z,1/2+x y,1/2+z,1/2-x 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+z,x,1/2+y 1/2+z,-x,1/2-y 1/2-z,-x,1/2+y 1/2-z,x,1/2-y 1/2+y,z,1/2+x 1/2-y,z,1/2-x 1/2+y,-z,1/2-x 1/2-y,-z,1/2+x 1/2-x,-y,1/2-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z 1/2-x,y,1/2+z 1/2-z,-x,1/2-y 1/2-z,x,1/2+y 1/2+z,x,1/2-y 1/2+z,-x,1/2+y 1/2-y,-z,1/2-x 1/2+y,-z,1/2+x 1/2-y,z,1/2+x 1/2+y,z,1/2-x 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+z,1/2+x,y 1/2+z,1/2-x,-y 1/2-z,1/2-x,y 1/2-z,1/2+x,-y 1/2+y,1/2+z,x 1/2-y,1/2+z,-x 1/2+y,1/2-z,-x 1/2-y,1/2-z,x 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2-z,1/2-x,-y 1/2-z,1/2+x,y 1/2+z,1/2+x,-y 1/2+z,1/2-x,y 1/2-y,1/2-z,-x 1/2+y,1/2-z,x 1/2-y,1/2+z,x 1/2+y,1/2+z,-x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/4-x,1/4-y,1/4-z 1/4+x,1/4+y,1/4-z 1/4+x,1/4-y,1/4+z 1/4-x,1/4+y,1/4+z 1/4-z,1/4-x,1/4-y 1/4-z,1/4+x,1/4+y 1/4+z,1/4+x,1/4-y 1/4+z,1/4-x,1/4+y 1/4-y,1/4-z,1/4-x 1/4+y,1/4-z,1/4+x 1/4-y,1/4+z,1/4+x 1/4+y,1/4+z,1/4-x x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z z,1/2+x,1/2+y z,1/2-x,1/2-y -z,1/2-x,1/2+y -z,1/2+x,1/2-y y,1/2+z,1/2+x -y,1/2+z,1/2-x y,1/2-z,1/2-x -y,1/2-z,1/2+x 1/4-x,3/4-y,3/4-z 1/4+x,3/4+y,3/4-z 1/4+x,3/4-y,3/4+z 1/4-x,3/4+y,3/4+z 1/4-z,3/4-x,3/4-y 1/4-z,3/4+x,3/4+y 1/4+z,3/4+x,3/4-y 1/4+z,3/4-x,3/4+y 1/4-y,3/4-z,3/4-x 1/4+y,3/4-z,3/4+x 1/4-y,3/4+z,3/4+x 1/4+y,3/4+z,3/4-x 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+z,x,1/2+y 1/2+z,-x,1/2-y 1/2-z,-x,1/2+y 1/2-z,x,1/2-y 1/2+y,z,1/2+x 1/2-y,z,1/2-x 1/2+y,-z,1/2-x 1/2-y,-z,1/2+x 3/4-x,1/4-y,3/4-z 3/4+x,1/4+y,3/4-z 3/4+x,1/4-y,3/4+z 3/4-x,1/4+y,3/4+z 3/4-z,1/4-x,3/4-y 3/4-z,1/4+x,3/4+y 3/4+z,1/4+x,3/4-y 3/4+z,1/4-x,3/4+y 3/4-y,1/4-z,3/4-x 3/4+y,1/4-z,3/4+x 3/4-y,1/4+z,3/4+x 3/4+y,1/4+z,3/4-x 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+z,1/2+x,y 1/2+z,1/2-x,-y 1/2-z,1/2-x,y 1/2-z,1/2+x,-y 1/2+y,1/2+z,x 1/2-y,1/2+z,-x 1/2+y,1/2-z,-x 1/2-y,1/2-z,x 3/4-x,3/4-y,1/4-z 3/4+x,3/4+y,1/4-z 3/4+x,3/4-y,1/4+z 3/4-x,3/4+y,1/4+z 3/4-z,3/4-x,1/4-y 3/4-z,3/4+x,1/4+y 3/4+z,3/4+x,1/4-y 3/4+z,3/4-x,1/4+y 3/4-y,3/4-z,1/4-x 3/4+y,3/4-z,1/4+x 3/4-y,3/4+z,1/4+x 3/4+y,3/4+z,1/4-x",
+  "x,y,z 1/4-x,1/4-y,z 1/4-x,y,1/4-z x,1/4-y,1/4-z z,x,y z,1/4-x,1/4-y 1/4-z,1/4-x,y 1/4-z,x,1/4-y y,z,x 1/4-y,z,1/4-x y,1/4-z,1/4-x 1/4-y,1/4-z,x -x,-y,-z 3/4+x,3/4+y,-z 3/4+x,-y,3/4+z -x,3/4+y,3/4+z -z,-x,-y -z,3/4+x,3/4+y 3/4+z,3/4+x,-y 3/4+z,-x,3/4+y -y,-z,-x 3/4+y,-z,3/4+x -y,3/4+z,3/4+x 3/4+y,3/4+z,-x x,1/2+y,1/2+z 1/4-x,3/4-y,1/2+z 1/4-x,1/2+y,3/4-z x,3/4-y,3/4-z z,1/2+x,1/2+y z,3/4-x,3/4-y 1/4-z,3/4-x,1/2+y 1/4-z,1/2+x,3/4-y y,1/2+z,1/2+x 1/4-y,1/2+z,3/4-x y,3/4-z,3/4-x 1/4-y,3/4-z,1/2+x -x,1/2-y,1/2-z 3/4+x,1/4+y,1/2-z 3/4+x,1/2-y,1/4+z -x,1/4+y,1/4+z -z,1/2-x,1/2-y -z,1/4+x,1/4+y 3/4+z,1/4+x,1/2-y 3/4+z,1/2-x,1/4+y -y,1/2-z,1/2-x 3/4+y,1/2-z,1/4+x -y,1/4+z,1/4+x 3/4+y,1/4+z,1/2-x 1/2+x,y,1/2+z 3/4-x,1/4-y,1/2+z 3/4-x,y,3/4-z 1/2+x,1/4-y,3/4-z 1/2+z,x,1/2+y 1/2+z,1/4-x,3/4-y 3/4-z,1/4-x,1/2+y 3/4-z,x,3/4-y 1/2+y,z,1/2+x 3/4-y,z,3/4-x 1/2+y,1/4-z,3/4-x 3/4-y,1/4-z,1/2+x 1/2-x,-y,1/2-z 1/4+x,3/4+y,1/2-z 1/4+x,-y,1/4+z 1/2-x,3/4+y,1/4+z 1/2-z,-x,1/2-y 1/2-z,3/4+x,1/4+y 1/4+z,3/4+x,1/2-y 1/4+z,-x,1/4+y 1/2-y,-z,1/2-x 1/4+y,-z,1/4+x 1/2-y,3/4+z,1/4+x 1/4+y,3/4+z,1/2-x 1/2+x,1/2+y,z 3/4-x,3/4-y,z 3/4-x,1/2+y,1/4-z 1/2+x,3/4-y,1/4-z 1/2+z,1/2+x,y 1/2+z,3/4-x,1/4-y 3/4-z,3/4-x,y 3/4-z,1/2+x,1/4-y 1/2+y,1/2+z,x 3/4-y,1/2+z,1/4-x 1/2+y,3/4-z,1/4-x 3/4-y,3/4-z,x 1/2-x,1/2-y,-z 1/4+x,1/4+y,-z 1/4+x,1/2-y,3/4+z 1/2-x,1/4+y,3/4+z 1/2-z,1/2-x,-y 1/2-z,1/4+x,3/4+y 1/4+z,1/4+x,-y 1/4+z,1/2-x,3/4+y 1/2-y,1/2-z,-x 1/4+y,1/2-z,3/4+x 1/2-y,1/4+z,3/4+x 1/4+y,1/4+z,-x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x -x,-y,-z x,y,-z x,-y,z -x,y,z -z,-x,-y -z,x,y z,x,-y z,-x,y -y,-z,-x y,-z,x -y,z,x y,z,-x 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2+z,1/2+x,1/2+y 1/2+z,1/2-x,1/2-y 1/2-z,1/2-x,1/2+y 1/2-z,1/2+x,1/2-y 1/2+y,1/2+z,1/2+x 1/2-y,1/2+z,1/2-x 1/2+y,1/2-z,1/2-x 1/2-y,1/2-z,1/2+x 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2-z,1/2-x,1/2-y 1/2-z,1/2+x,1/2+y 1/2+z,1/2+x,1/2-y 1/2+z,1/2-x,1/2+y 1/2-y,1/2-z,1/2-x 1/2+y,1/2-z,1/2+x 1/2-y,1/2+z,1/2+x 1/2+y,1/2+z,1/2-x",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z z,x,y 1/2+z,1/2-x,-y 1/2-z,-x,1/2+y -z,1/2+x,1/2-y y,z,x -y,1/2+z,1/2-x 1/2+y,1/2-z,-x 1/2-y,-z,1/2+x -x,-y,-z 1/2+x,y,1/2-z x,1/2-y,1/2+z 1/2-x,1/2+y,z -z,-x,-y 1/2-z,1/2+x,y 1/2+z,x,1/2-y z,1/2-x,1/2+y -y,-z,-x y,1/2-z,1/2+x 1/2-y,1/2+z,x 1/2+y,z,1/2-x",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z z,x,y 1/2+z,1/2-x,-y 1/2-z,-x,1/2+y -z,1/2+x,1/2-y y,z,x -y,1/2+z,1/2-x 1/2+y,1/2-z,-x 1/2-y,-z,1/2+x -x,-y,-z 1/2+x,y,1/2-z x,1/2-y,1/2+z 1/2-x,1/2+y,z -z,-x,-y 1/2-z,1/2+x,y 1/2+z,x,1/2-y z,1/2-x,1/2+y -y,-z,-x y,1/2-z,1/2+x 1/2-y,1/2+z,x 1/2+y,z,1/2-x 1/2+x,1/2+y,1/2+z -x,1/2-y,z 1/2-x,y,-z x,-y,1/2-z 1/2+z,1/2+x,1/2+y z,-x,1/2-y -z,1/2-x,y 1/2-z,x,-y 1/2+y,1/2+z,1/2+x 1/2-y,z,-x y,-z,1/2-x -y,1/2-z,x 1/2-x,1/2-y,1/2-z x,1/2+y,-z 1/2+x,-y,z -x,y,1/2+z 1/2-z,1/2-x,1/2-y -z,x,1/2+y z,1/2+x,-y 1/2+z,-x,y 1/2-y,1/2-z,1/2-x 1/2+y,-z,x -y,z,1/2+x y,1/2+z,-x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x y,x,-z -y,-x,-z y,-x,z -y,x,z x,z,-y -x,z,y -x,-z,-y x,-z,y z,y,-x z,-y,x -z,y,x -z,-y,-x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z 1/2+y,1/2-x,1/2+z 1/2-y,1/2+x,1/2+z 1/2+x,1/2+z,1/2-y 1/2-x,1/2+z,1/2+y 1/2-x,1/2-z,1/2-y 1/2+x,1/2-z,1/2+y 1/2+z,1/2+y,1/2-x 1/2+z,1/2-y,1/2+x 1/2-z,1/2+y,1/2+x 1/2-z,1/2-y,1/2-x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x y,x,-z -y,-x,-z y,-x,z -y,x,z x,z,-y -x,z,y -x,-z,-y x,-z,y z,y,-x z,-y,x -z,y,x -z,-y,-x x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z z,1/2+x,1/2+y z,1/2-x,1/2-y -z,1/2-x,1/2+y -z,1/2+x,1/2-y y,1/2+z,1/2+x -y,1/2+z,1/2-x y,1/2-z,1/2-x -y,1/2-z,1/2+x y,1/2+x,1/2-z -y,1/2-x,1/2-z y,1/2-x,1/2+z -y,1/2+x,1/2+z x,1/2+z,1/2-y -x,1/2+z,1/2+y -x,1/2-z,1/2-y x,1/2-z,1/2+y z,1/2+y,1/2-x z,1/2-y,1/2+x -z,1/2+y,1/2+x -z,1/2-y,1/2-x 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+z,x,1/2+y 1/2+z,-x,1/2-y 1/2-z,-x,1/2+y 1/2-z,x,1/2-y 1/2+y,z,1/2+x 1/2-y,z,1/2-x 1/2+y,-z,1/2-x 1/2-y,-z,1/2+x 1/2+y,x,1/2-z 1/2-y,-x,1/2-z 1/2+y,-x,1/2+z 1/2-y,x,1/2+z 1/2+x,z,1/2-y 1/2-x,z,1/2+y 1/2-x,-z,1/2-y 1/2+x,-z,1/2+y 1/2+z,y,1/2-x 1/2+z,-y,1/2+x 1/2-z,y,1/2+x 1/2-z,-y,1/2-x 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+z,1/2+x,y 1/2+z,1/2-x,-y 1/2-z,1/2-x,y 1/2-z,1/2+x,-y 1/2+y,1/2+z,x 1/2-y,1/2+z,-x 1/2+y,1/2-z,-x 1/2-y,1/2-z,x 1/2+y,1/2+x,-z 1/2-y,1/2-x,-z 1/2+y,1/2-x,z 1/2-y,1/2+x,z 1/2+x,1/2+z,-y 1/2-x,1/2+z,y 1/2-x,1/2-z,-y 1/2+x,1/2-z,y 1/2+z,1/2+y,-x 1/2+z,1/2-y,x 1/2-z,1/2+y,x 1/2-z,1/2-y,-x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/2+y,1/2+x,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2+z,1/2+y 1/2-x,1/2+z,1/2-y 1/2-x,1/2-z,1/2+y 1/2+x,1/2-z,1/2-y 1/2+z,1/2+y,1/2+x 1/2+z,1/2-y,1/2-x 1/2-z,1/2+y,1/2-x 1/2-z,1/2-y,1/2+x x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z z,1/2+x,1/2+y z,1/2-x,1/2-y -z,1/2-x,1/2+y -z,1/2+x,1/2-y y,1/2+z,1/2+x -y,1/2+z,1/2-x y,1/2-z,1/2-x -y,1/2-z,1/2+x 1/2+y,x,z 1/2-y,-x,z 1/2+y,-x,-z 1/2-y,x,-z 1/2+x,z,y 1/2-x,z,-y 1/2-x,-z,y 1/2+x,-z,-y 1/2+z,y,x 1/2+z,-y,-x 1/2-z,y,-x 1/2-z,-y,x 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+z,x,1/2+y 1/2+z,-x,1/2-y 1/2-z,-x,1/2+y 1/2-z,x,1/2-y 1/2+y,z,1/2+x 1/2-y,z,1/2-x 1/2+y,-z,1/2-x 1/2-y,-z,1/2+x y,1/2+x,z -y,1/2-x,z y,1/2-x,-z -y,1/2+x,-z x,1/2+z,y -x,1/2+z,-y -x,1/2-z,y x,1/2-z,-y z,1/2+y,x z,1/2-y,-x -z,1/2+y,-x -z,1/2-y,x 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+z,1/2+x,y 1/2+z,1/2-x,-y 1/2-z,1/2-x,y 1/2-z,1/2+x,-y 1/2+y,1/2+z,x 1/2-y,1/2+z,-x 1/2+y,1/2-z,-x 1/2-y,1/2-z,x y,x,1/2+z -y,-x,1/2+z y,-x,1/2-z -y,x,1/2-z x,z,1/2+y -x,z,1/2-y -x,-z,1/2+y x,-z,1/2-y z,y,1/2+x z,-y,1/2-x -z,y,1/2-x -z,-y,1/2+x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x y,x,-z -y,-x,-z y,-x,z -y,x,z x,z,-y -x,z,y -x,-z,-y x,-z,y z,y,-x z,-y,x -z,y,x -z,-y,-x 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2+z,1/2+x,1/2+y 1/2+z,1/2-x,1/2-y 1/2-z,1/2-x,1/2+y 1/2-z,1/2+x,1/2-y 1/2+y,1/2+z,1/2+x 1/2-y,1/2+z,1/2-x 1/2+y,1/2-z,1/2-x 1/2-y,1/2-z,1/2+x 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z 1/2+y,1/2-x,1/2+z 1/2-y,1/2+x,1/2+z 1/2+x,1/2+z,1/2-y 1/2-x,1/2+z,1/2+y 1/2-x,1/2-z,1/2-y 1/2+x,1/2-z,1/2+y 1/2+z,1/2+y,1/2-x 1/2+z,1/2-y,1/2+x 1/2-z,1/2+y,1/2+x 1/2-z,1/2-y,1/2-x",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z z,x,y 1/2+z,1/2-x,-y 1/2-z,-x,1/2+y -z,1/2+x,1/2-y y,z,x -y,1/2+z,1/2-x 1/2+y,1/2-z,-x 1/2-y,-z,1/2+x 1/4+y,3/4+x,3/4-z 1/4-y,1/4-x,1/4-z 3/4+y,3/4-x,1/4+z 3/4-y,1/4+x,3/4+z 1/4+x,3/4+z,3/4-y 3/4-x,1/4+z,3/4+y 1/4-x,1/4-z,1/4-y 3/4+x,3/4-z,1/4+y 1/4+z,3/4+y,3/4-x 3/4+z,3/4-y,1/4+x 3/4-z,1/4+y,3/4+x 1/4-z,1/4-y,1/4-x",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z z,x,y 1/2+z,1/2-x,-y 1/2-z,-x,1/2+y -z,1/2+x,1/2-y y,z,x -y,1/2+z,1/2-x 1/2+y,1/2-z,-x 1/2-y,-z,1/2+x 3/4+y,1/4+x,1/4-z 3/4-y,3/4-x,3/4-z 1/4+y,1/4-x,3/4+z 1/4-y,3/4+x,1/4+z 3/4+x,1/4+z,1/4-y 1/4-x,3/4+z,1/4+y 3/4-x,3/4-z,3/4-y 1/4+x,1/4-z,3/4+y 3/4+z,1/4+y,1/4-x 1/4+z,1/4-y,3/4+x 1/4-z,3/4+y,1/4+x 3/4-z,3/4-y,3/4-x",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z z,x,y 1/2+z,1/2-x,-y 1/2-z,-x,1/2+y -z,1/2+x,1/2-y y,z,x -y,1/2+z,1/2-x 1/2+y,1/2-z,-x 1/2-y,-z,1/2+x 3/4+y,1/4+x,1/4-z 3/4-y,3/4-x,3/4-z 1/4+y,1/4-x,3/4+z 1/4-y,3/4+x,1/4+z 3/4+x,1/4+z,1/4-y 1/4-x,3/4+z,1/4+y 3/4-x,3/4-z,3/4-y 1/4+x,1/4-z,3/4+y 3/4+z,1/4+y,1/4-x 1/4+z,1/4-y,3/4+x 1/4-z,3/4+y,1/4+x 3/4-z,3/4-y,3/4-x 1/2+x,1/2+y,1/2+z -x,1/2-y,z 1/2-x,y,-z x,-y,1/2-z 1/2+z,1/2+x,1/2+y z,-x,1/2-y -z,1/2-x,y 1/2-z,x,-y 1/2+y,1/2+z,1/2+x 1/2-y,z,-x y,-z,1/2-x -y,1/2-z,x 1/4+y,3/4+x,3/4-z 1/4-y,1/4-x,1/4-z 3/4+y,3/4-x,1/4+z 3/4-y,1/4+x,3/4+z 1/4+x,3/4+z,3/4-y 3/4-x,1/4+z,3/4+y 1/4-x,1/4-z,1/4-y 3/4+x,3/4-z,1/4+y 1/4+z,3/4+y,3/4-x 3/4+z,3/4-y,1/4+x 3/4-z,1/4+y,3/4+x 1/4-z,1/4-y,1/4-x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x y,x,z -y,-x,z y,-x,-z -y,x,-z x,z,y -x,z,-y -x,-z,y x,-z,-y z,y,x z,-y,-x -z,y,-x -z,-y,x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x y,x,z -y,-x,z y,-x,-z -y,x,-z x,z,y -x,z,-y -x,-z,y x,-z,-y z,y,x z,-y,-x -z,y,-x -z,-y,x x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z z,1/2+x,1/2+y z,1/2-x,1/2-y -z,1/2-x,1/2+y -z,1/2+x,1/2-y y,1/2+z,1/2+x -y,1/2+z,1/2-x y,1/2-z,1/2-x -y,1/2-z,1/2+x y,1/2+x,1/2+z -y,1/2-x,1/2+z y,1/2-x,1/2-z -y,1/2+x,1/2-z x,1/2+z,1/2+y -x,1/2+z,1/2-y -x,1/2-z,1/2+y x,1/2-z,1/2-y z,1/2+y,1/2+x z,1/2-y,1/2-x -z,1/2+y,1/2-x -z,1/2-y,1/2+x 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+z,x,1/2+y 1/2+z,-x,1/2-y 1/2-z,-x,1/2+y 1/2-z,x,1/2-y 1/2+y,z,1/2+x 1/2-y,z,1/2-x 1/2+y,-z,1/2-x 1/2-y,-z,1/2+x 1/2+y,x,1/2+z 1/2-y,-x,1/2+z 1/2+y,-x,1/2-z 1/2-y,x,1/2-z 1/2+x,z,1/2+y 1/2-x,z,1/2-y 1/2-x,-z,1/2+y 1/2+x,-z,1/2-y 1/2+z,y,1/2+x 1/2+z,-y,1/2-x 1/2-z,y,1/2-x 1/2-z,-y,1/2+x 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+z,1/2+x,y 1/2+z,1/2-x,-y 1/2-z,1/2-x,y 1/2-z,1/2+x,-y 1/2+y,1/2+z,x 1/2-y,1/2+z,-x 1/2+y,1/2-z,-x 1/2-y,1/2-z,x 1/2+y,1/2+x,z 1/2-y,1/2-x,z 1/2+y,1/2-x,-z 1/2-y,1/2+x,-z 1/2+x,1/2+z,y 1/2-x,1/2+z,-y 1/2-x,1/2-z,y 1/2+x,1/2-z,-y 1/2+z,1/2+y,x 1/2+z,1/2-y,-x 1/2-z,1/2+y,-x 1/2-z,1/2-y,x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x y,x,z -y,-x,z y,-x,-z -y,x,-z x,z,y -x,z,-y -x,-z,y x,-z,-y z,y,x z,-y,-x -z,y,-x -z,-y,x 1/2+x,1/2+y,1/2+z 1/2-x,1/2-y,1/2+z 1/2-x,1/2+y,1/2-z 1/2+x,1/2-y,1/2-z 1/2+z,1/2+x,1/2+y 1/2+z,1/2-x,1/2-y 1/2-z,1/2-x,1/2+y 1/2-z,1/2+x,1/2-y 1/2+y,1/2+z,1/2+x 1/2-y,1/2+z,1/2-x 1/2+y,1/2-z,1/2-x 1/2-y,1/2-z,1/2+x 1/2+y,1/2+x,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2+z,1/2+y 1/2-x,1/2+z,1/2-y 1/2-x,1/2-z,1/2+y 1/2+x,1/2-z,1/2-y 1/2+z,1/2+y,1/2+x 1/2+z,1/2-y,1/2-x 1/2-z,1/2+y,1/2-x 1/2-z,1/2-y,1/2+x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/2+y,1/2+x,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2+z,1/2+y 1/2-x,1/2+z,1/2-y 1/2-x,1/2-z,1/2+y 1/2+x,1/2-z,1/2-y 1/2+z,1/2+y,1/2+x 1/2+z,1/2-y,1/2-x 1/2-z,1/2+y,1/2-x 1/2-z,1/2-y,1/2+x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/2+y,1/2+x,1/2+z 1/2-y,1/2-x,1/2+z 1/2+y,1/2-x,1/2-z 1/2-y,1/2+x,1/2-z 1/2+x,1/2+z,1/2+y 1/2-x,1/2+z,1/2-y 1/2-x,1/2-z,1/2+y 1/2+x,1/2-z,1/2-y 1/2+z,1/2+y,1/2+x 1/2+z,1/2-y,1/2-x 1/2-z,1/2+y,1/2-x 1/2-z,1/2-y,1/2+x x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z z,1/2+x,1/2+y z,1/2-x,1/2-y -z,1/2-x,1/2+y -z,1/2+x,1/2-y y,1/2+z,1/2+x -y,1/2+z,1/2-x y,1/2-z,1/2-x -y,1/2-z,1/2+x 1/2+y,x,z 1/2-y,-x,z 1/2+y,-x,-z 1/2-y,x,-z 1/2+x,z,y 1/2-x,z,-y 1/2-x,-z,y 1/2+x,-z,-y 1/2+z,y,x 1/2+z,-y,-x 1/2-z,y,-x 1/2-z,-y,x 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+z,x,1/2+y 1/2+z,-x,1/2-y 1/2-z,-x,1/2+y 1/2-z,x,1/2-y 1/2+y,z,1/2+x 1/2-y,z,1/2-x 1/2+y,-z,1/2-x 1/2-y,-z,1/2+x y,1/2+x,z -y,1/2-x,z y,1/2-x,-z -y,1/2+x,-z x,1/2+z,y -x,1/2+z,-y -x,1/2-z,y x,1/2-z,-y z,1/2+y,x z,1/2-y,-x -z,1/2+y,-x -z,1/2-y,x 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+z,1/2+x,y 1/2+z,1/2-x,-y 1/2-z,1/2-x,y 1/2-z,1/2+x,-y 1/2+y,1/2+z,x 1/2-y,1/2+z,-x 1/2+y,1/2-z,-x 1/2-y,1/2-z,x y,x,1/2+z -y,-x,1/2+z y,-x,1/2-z -y,x,1/2-z x,z,1/2+y -x,z,1/2-y -x,-z,1/2+y x,-z,1/2-y z,y,1/2+x z,-y,1/2-x -z,y,1/2-x -z,-y,1/2+x",
+  "x,y,z 1/2-x,-y,1/2+z -x,1/2+y,1/2-z 1/2+x,1/2-y,-z z,x,y 1/2+z,1/2-x,-y 1/2-z,-x,1/2+y -z,1/2+x,1/2-y y,z,x -y,1/2+z,1/2-x 1/2+y,1/2-z,-x 1/2-y,-z,1/2+x 1/4+y,1/4+x,1/4+z 1/4-y,3/4-x,3/4+z 3/4+y,1/4-x,3/4-z 3/4-y,3/4+x,1/4-z 1/4+x,1/4+z,1/4+y 3/4-x,3/4+z,1/4-y 1/4-x,3/4-z,3/4+y 3/4+x,1/4-z,3/4-y 1/4+z,1/4+y,1/4+x 3/4+z,1/4-y,3/4-x 3/4-z,3/4+y,1/4-x 1/4-z,3/4-y,3/4+x 1/2+x,1/2+y,1/2+z -x,1/2-y,z 1/2-x,y,-z x,-y,1/2-z 1/2+z,1/2+x,1/2+y z,-x,1/2-y -z,1/2-x,y 1/2-z,x,-y 1/2+y,1/2+z,1/2+x 1/2-y,z,-x y,-z,1/2-x -y,1/2-z,x 3/4+y,3/4+x,3/4+z 3/4-y,1/4-x,1/4+z 1/4+y,3/4-x,1/4-z 1/4-y,1/4+x,3/4-z 3/4+x,3/4+z,3/4+y 1/4-x,1/4+z,3/4-y 3/4-x,1/4-z,1/4+y 1/4+x,3/4-z,1/4-y 3/4+z,3/4+y,3/4+x 1/4+z,3/4-y,1/4-x 1/4-z,1/4+y,3/4-x 3/4-z,1/4-y,1/4+x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x y,x,-z -y,-x,-z y,-x,z -y,x,z x,z,-y -x,z,y -x,-z,-y x,-z,y z,y,-x z,-y,x -z,y,x -z,-y,-x -x,-y,-z x,y,-z x,-y,z -x,y,z -z,-x,-y -z,x,y z,x,-y z,-x,y -y,-z,-x y,-z,x -y,z,x y,z,-x -y,-x,z y,x,z -y,x,-z y,-x,-z -x,-z,y x,-z,-y x,z,y -x,z,-y -z,-y,x -z,y,-x z,-y,-x z,y,x",
+  "x,y,z 1/2-x,1/2-y,z 1/2-x,y,1/2-z x,1/2-y,1/2-z z,x,y z,1/2-x,1/2-y 1/2-z,1/2-x,y 1/2-z,x,1/2-y y,z,x 1/2-y,z,1/2-x y,1/2-z,1/2-x 1/2-y,1/2-z,x y,x,1/2-z 1/2-y,1/2-x,1/2-z y,1/2-x,z 1/2-y,x,z x,z,1/2-y 1/2-x,z,y 1/2-x,1/2-z,1/2-y x,1/2-z,y z,y,1/2-x z,1/2-y,x 1/2-z,y,x 1/2-z,1/2-y,1/2-x -x,-y,-z 1/2+x,1/2+y,-z 1/2+x,-y,1/2+z -x,1/2+y,1/2+z -z,-x,-y -z,1/2+x,1/2+y 1/2+z,1/2+x,-y 1/2+z,-x,1/2+y -y,-z,-x 1/2+y,-z,1/2+x -y,1/2+z,1/2+x 1/2+y,1/2+z,-x -y,-x,1/2+z 1/2+y,1/2+x,1/2+z -y,1/2+x,-z 1/2+y,-x,-z -x,-z,1/2+y 1/2+x,-z,-y 1/2+x,1/2+z,1/2+y -x,1/2+z,-y -z,-y,1/2+x -z,1/2+y,-x 1/2+z,-y,-x 1/2+z,1/2+y,1/2+x",
+  "x,y,z 1/2-x,1/2-y,z 1/2-x,y,1/2-z x,1/2-y,1/2-z z,x,y z,1/2-x,1/2-y 1/2-z,1/2-x,y 1/2-z,x,1/2-y y,z,x 1/2-y,z,1/2-x y,1/2-z,1/2-x 1/2-y,1/2-z,x y,x,1/2-z 1/2-y,1/2-x,1/2-z y,1/2-x,z 1/2-y,x,z x,z,1/2-y 1/2-x,z,y 1/2-x,1/2-z,1/2-y x,1/2-z,y z,y,1/2-x z,1/2-y,x 1/2-z,y,x 1/2-z,1/2-y,1/2-x -x,-y,-z 1/2+x,1/2+y,-z 1/2+x,-y,1/2+z -x,1/2+y,1/2+z -z,-x,-y -z,1/2+x,1/2+y 1/2+z,1/2+x,-y 1/2+z,-x,1/2+y -y,-z,-x 1/2+y,-z,1/2+x -y,1/2+z,1/2+x 1/2+y,1/2+z,-x -y,-x,1/2+z 1/2+y,1/2+x,1/2+z -y,1/2+x,-z 1/2+y,-x,-z -x,-z,1/2+y 1/2+x,-z,-y 1/2+x,1/2+z,1/2+y -x,1/2+z,-y -z,-y,1/2+x -z,1/2+y,-x 1/2+z,-y,-x 1/2+z,1/2+y,1/2+x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z 1/2+y,1/2-x,1/2+z 1/2-y,1/2+x,1/2+z 1/2+x,1/2+z,1/2-y 1/2-x,1/2+z,1/2+y 1/2-x,1/2-z,1/2-y 1/2+x,1/2-z,1/2+y 1/2+z,1/2+y,1/2-x 1/2+z,1/2-y,1/2+x 1/2-z,1/2+y,1/2+x 1/2-z,1/2-y,1/2-x -x,-y,-z x,y,-z x,-y,z -x,y,z -z,-x,-y -z,x,y z,x,-y z,-x,y -y,-z,-x y,-z,x -y,z,x y,z,-x 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z 1/2-y,1/2+x,1/2-z 1/2+y,1/2-x,1/2-z 1/2-x,1/2-z,1/2+y 1/2+x,1/2-z,1/2-y 1/2+x,1/2+z,1/2+y 1/2-x,1/2+z,1/2-y 1/2-z,1/2-y,1/2+x 1/2-z,1/2+y,1/2-x 1/2+z,1/2-y,1/2-x 1/2+z,1/2+y,1/2+x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z 1/2+y,1/2-x,1/2+z 1/2-y,1/2+x,1/2+z 1/2+x,1/2+z,1/2-y 1/2-x,1/2+z,1/2+y 1/2-x,1/2-z,1/2-y 1/2+x,1/2-z,1/2+y 1/2+z,1/2+y,1/2-x 1/2+z,1/2-y,1/2+x 1/2-z,1/2+y,1/2+x 1/2-z,1/2-y,1/2-x 1/2-x,1/2-y,1/2-z 1/2+x,1/2+y,1/2-z 1/2+x,1/2-y,1/2+z 1/2-x,1/2+y,1/2+z 1/2-z,1/2-x,1/2-y 1/2-z,1/2+x,1/2+y 1/2+z,1/2+x,1/2-y 1/2+z,1/2-x,1/2+y 1/2-y,1/2-z,1/2-x 1/2+y,1/2-z,1/2+x 1/2-y,1/2+z,1/2+x 1/2+y,1/2+z,1/2-x -y,-x,z y,x,z -y,x,-z y,-x,-z -x,-z,y x,-z,-y x,z,y -x,z,-y -z,-y,x -z,y,-x z,-y,-x z,y,x",
+  "x,y,z 1/2-x,1/2-y,z 1/2-x,y,1/2-z x,1/2-y,1/2-z z,x,y z,1/2-x,1/2-y 1/2-z,1/2-x,y 1/2-z,x,1/2-y y,z,x 1/2-y,z,1/2-x y,1/2-z,1/2-x 1/2-y,1/2-z,x 1/2+y,1/2+x,-z -y,-x,-z 1/2+y,-x,1/2+z -y,1/2+x,1/2+z 1/2+x,1/2+z,-y -x,1/2+z,1/2+y -x,-z,-y 1/2+x,-z,1/2+y 1/2+z,1/2+y,-x 1/2+z,-y,1/2+x -z,1/2+y,1/2+x -z,-y,-x -x,-y,-z 1/2+x,1/2+y,-z 1/2+x,-y,1/2+z -x,1/2+y,1/2+z -z,-x,-y -z,1/2+x,1/2+y 1/2+z,1/2+x,-y 1/2+z,-x,1/2+y -y,-z,-x 1/2+y,-z,1/2+x -y,1/2+z,1/2+x 1/2+y,1/2+z,-x 1/2-y,1/2-x,z y,x,z 1/2-y,x,1/2-z y,1/2-x,1/2-z 1/2-x,1/2-z,y x,1/2-z,1/2-y x,z,y 1/2-x,z,1/2-y 1/2-z,1/2-y,x 1/2-z,y,1/2-x z,1/2-y,1/2-x z,y,x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x y,x,-z -y,-x,-z y,-x,z -y,x,z x,z,-y -x,z,y -x,-z,-y x,-z,y z,y,-x z,-y,x -z,y,x -z,-y,-x -x,-y,-z x,y,-z x,-y,z -x,y,z -z,-x,-y -z,x,y z,x,-y z,-x,y -y,-z,-x y,-z,x -y,z,x y,z,-x -y,-x,z y,x,z -y,x,-z y,-x,-z -x,-z,y x,-z,-y x,z,y -x,z,-y -z,-y,x -z,y,-x z,-y,-x z,y,x x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z z,1/2+x,1/2+y z,1/2-x,1/2-y -z,1/2-x,1/2+y -z,1/2+x,1/2-y y,1/2+z,1/2+x -y,1/2+z,1/2-x y,1/2-z,1/2-x -y,1/2-z,1/2+x y,1/2+x,1/2-z -y,1/2-x,1/2-z y,1/2-x,1/2+z -y,1/2+x,1/2+z x,1/2+z,1/2-y -x,1/2+z,1/2+y -x,1/2-z,1/2-y x,1/2-z,1/2+y z,1/2+y,1/2-x z,1/2-y,1/2+x -z,1/2+y,1/2+x -z,1/2-y,1/2-x -x,1/2-y,1/2-z x,1/2+y,1/2-z x,1/2-y,1/2+z -x,1/2+y,1/2+z -z,1/2-x,1/2-y -z,1/2+x,1/2+y z,1/2+x,1/2-y z,1/2-x,1/2+y -y,1/2-z,1/2-x y,1/2-z,1/2+x -y,1/2+z,1/2+x y,1/2+z,1/2-x -y,1/2-x,1/2+z y,1/2+x,1/2+z -y,1/2+x,1/2-z y,1/2-x,1/2-z -x,1/2-z,1/2+y x,1/2-z,1/2-y x,1/2+z,1/2+y -x,1/2+z,1/2-y -z,1/2-y,1/2+x -z,1/2+y,1/2-x z,1/2-y,1/2-x z,1/2+y,1/2+x 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+z,x,1/2+y 1/2+z,-x,1/2-y 1/2-z,-x,1/2+y 1/2-z,x,1/2-y 1/2+y,z,1/2+x 1/2-y,z,1/2-x 1/2+y,-z,1/2-x 1/2-y,-z,1/2+x 1/2+y,x,1/2-z 1/2-y,-x,1/2-z 1/2+y,-x,1/2+z 1/2-y,x,1/2+z 1/2+x,z,1/2-y 1/2-x,z,1/2+y 1/2-x,-z,1/2-y 1/2+x,-z,1/2+y 1/2+z,y,1/2-x 1/2+z,-y,1/2+x 1/2-z,y,1/2+x 1/2-z,-y,1/2-x 1/2-x,-y,1/2-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z 1/2-x,y,1/2+z 1/2-z,-x,1/2-y 1/2-z,x,1/2+y 1/2+z,x,1/2-y 1/2+z,-x,1/2+y 1/2-y,-z,1/2-x 1/2+y,-z,1/2+x 1/2-y,z,1/2+x 1/2+y,z,1/2-x 1/2-y,-x,1/2+z 1/2+y,x,1/2+z 1/2-y,x,1/2-z 1/2+y,-x,1/2-z 1/2-x,-z,1/2+y 1/2+x,-z,1/2-y 1/2+x,z,1/2+y 1/2-x,z,1/2-y 1/2-z,-y,1/2+x 1/2-z,y,1/2-x 1/2+z,-y,1/2-x 1/2+z,y,1/2+x 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+z,1/2+x,y 1/2+z,1/2-x,-y 1/2-z,1/2-x,y 1/2-z,1/2+x,-y 1/2+y,1/2+z,x 1/2-y,1/2+z,-x 1/2+y,1/2-z,-x 1/2-y,1/2-z,x 1/2+y,1/2+x,-z 1/2-y,1/2-x,-z 1/2+y,1/2-x,z 1/2-y,1/2+x,z 1/2+x,1/2+z,-y 1/2-x,1/2+z,y 1/2-x,1/2-z,-y 1/2+x,1/2-z,y 1/2+z,1/2+y,-x 1/2+z,1/2-y,x 1/2-z,1/2+y,x 1/2-z,1/2-y,-x 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2-z,1/2-x,-y 1/2-z,1/2+x,y 1/2+z,1/2+x,-y 1/2+z,1/2-x,y 1/2-y,1/2-z,-x 1/2+y,1/2-z,x 1/2-y,1/2+z,x 1/2+y,1/2+z,-x 1/2-y,1/2-x,z 1/2+y,1/2+x,z 1/2-y,1/2+x,-z 1/2+y,1/2-x,-z 1/2-x,1/2-z,y 1/2+x,1/2-z,-y 1/2+x,1/2+z,y 1/2-x,1/2+z,-y 1/2-z,1/2-y,x 1/2-z,1/2+y,-x 1/2+z,1/2-y,-x 1/2+z,1/2+y,x",
+  "x,y,z -x,-y,z -x,y,-z x,-y,-z z,x,y z,-x,-y -z,-x,y -z,x,-y y,z,x -y,z,-x y,-z,-x -y,-z,x 1/2+y,1/2+x,1/2-z 1/2-y,1/2-x,1/2-z 1/2+y,1/2-x,1/2+z 1/2-y,1/2+x,1/2+z 1/2+x,1/2+z,1/2-y 1/2-x,1/2+z,1/2+y 1/2-x,1/2-z,1/2-y 1/2+x,1/2-z,1/2+y 1/2+z,1/2+y,1/2-x 1/2+z,1/2-y,1/2+x 1/2-z,1/2+y,1/2+x 1/2-z,1/2-y,1/2-x -x,-y,-z x,y,-z x,-y,z -x,y,z -z,-x,-y -z,x,y z,x,-y z,-x,y -y,-z,-x y,-z,x -y,z,x y,z,-x 1/2-y,1/2-x,1/2+z 1/2+y,1/2+x,1/2+z 1/2-y,1/2+x,1/2-z 1/2+y,1/2-x,1/2-z 1/2-x,1/2-z,1/2+y 1/2+x,1/2-z,1/2-y 1/2+x,1/2+z,1/2+y 1/2-x,1/2+z,1/2-y 1/2-z,1/2-y,1/2+x 1/2-z,1/2+y,1/2-x 1/2+z,1/2-y,1/2-x 1/2+z,1/2+y,1/2+x x,1/2+y,1/2+z -x,1/2-y,1/2+z -x,1/2+y,1/2-z x,1/2-y,1/2-z z,1/2+x,1/2+y z,1/2-x,1/2-y -z,1/2-x,1/2+y -z,1/2+x,1/2-y y,1/2+z,1/2+x -y,1/2+z,1/2-x y,1/2-z,1/2-x -y,1/2-z,1/2+x 1/2+y,x,-z 1/2-y,-x,-z 1/2+y,-x,z 1/2-y,x,z 1/2+x,z,-y 1/2-x,z,y 1/2-x,-z,-y 1/2+x,-z,y 1/2+z,y,-x 1/2+z,-y,x 1/2-z,y,x 1/2-z,-y,-x -x,1/2-y,1/2-z x,1/2+y,1/2-z x,1/2-y,1/2+z -x,1/2+y,1/2+z -z,1/2-x,1/2-y -z,1/2+x,1/2+y z,1/2+x,1/2-y z,1/2-x,1/2+y -y,1/2-z,1/2-x y,1/2-z,1/2+x -y,1/2+z,1/2+x y,1/2+z,1/2-x 1/2-y,-x,z 1/2+y,x,z 1/2-y,x,-z 1/2+y,-x,-z 1/2-x,-z,y 1/2+x,-z,-y 1/2+x,z,y 1/2-x,z,-y 1/2-z,-y,x 1/2-z,y,-x 1/2+z,-y,-x 1/2+z,y,x 1/2+x,y,1/2+z 1/2-x,-y,1/2+z 1/2-x,y,1/2-z 1/2+x,-y,1/2-z 1/2+z,x,1/2+y 1/2+z,-x,1/2-y 1/2-z,-x,1/2+y 1/2-z,x,1/2-y 1/2+y,z,1/2+x 1/2-y,z,1/2-x 1/2+y,-z,1/2-x 1/2-y,-z,1/2+x y,1/2+x,-z -y,1/2-x,-z y,1/2-x,z -y,1/2+x,z x,1/2+z,-y -x,1/2+z,y -x,1/2-z,-y x,1/2-z,y z,1/2+y,-x z,1/2-y,x -z,1/2+y,x -z,1/2-y,-x 1/2-x,-y,1/2-z 1/2+x,y,1/2-z 1/2+x,-y,1/2+z 1/2-x,y,1/2+z 1/2-z,-x,1/2-y 1/2-z,x,1/2+y 1/2+z,x,1/2-y 1/2+z,-x,1/2+y 1/2-y,-z,1/2-x 1/2+y,-z,1/2+x 1/2-y,z,1/2+x 1/2+y,z,1/2-x -y,1/2-x,z y,1/2+x,z -y,1/2+x,-z y,1/2-x,-z -x,1/2-z,y x,1/2-z,-y x,1/2+z,y -x,1/2+z,-y -z,1/2-y,x -z,1/2+y,-x z,1/2-y,-x z,1/2+y,x 1/2+x,1/2+y,z 1/2-x,1/2-y,z 1/2-x,1/2+y,-z 1/2+x,1/2-y,-z 1/2+z,1/2+x,y 1/2+z,1/2-x,-y 1/2-z,1/2-x,y 1/2-z,1/2+x,-y 1/2+y,1/2+z,x 1/2-y,1/2+z,-x 1/2+y,1/2-z,-x 1/2-y,1/2-z,x y,x,1/2-z -y,-x,1/2-z y,-x,1/2+z -y,x,1/2+z x,z,1/2-y -x,z,1/2+y -x,-z,1/2-y x,-z,1/2+y z,y,1/2-x z,-y,1/2+x -z,y,1/2+x -z,-y,1/2-x 1/2-x,1/2-y,-z 1/2+x,1/2+y,-z 1/2+x,1/2-y,z 1/2-x,1/2+y,z 1/2-z,1/2-x,-y 1/2-z,1/2+x,y 1/2+z,1/2+x,-y 1/2+z,1/2-x,y 1/2-y,1/2-z,-x 1/2+y,1/2-z,x 1/2-y,1/2+z,x 1/2+y,1/2+z,-x -y,-x,1/2+z y,x,1/2+z -y,x,1/2-z y,-x,1/2-z -x,-z,1/2+y x,-z,1/2-y x,z,1/2+y -x,z,1/2-y -z,-y,1/2+x -z,y,1/2-x z,-y,1/2-x z,y,1/2+x",
+  "x,y,z -x,1/2-y,1/2+z 1/2-x,1/2+y,-z 1/2+x,-y,1/2-z z,x,y 1/2+z,-x,1/2-y -z,1/2-x,1/2+y 1/2-z,1/2+x,-y y,z,x 1/2-y,1/2+z,-x 1/2+y,-z,1/2-x -y,1/2-z,1/2+x 3/4+y,1/4+x,3/4-z 1/4-y,1/4-x,1/4-z 1/4+y,3/4-x,3/4+z 3/4-y,3/4+x,1/4+z 3/4+x,1/4+z,3/4-y 3/4-x,3/4+z,1/4+y 1/4-x,1/4-z,1/4-y 1/4+x,3/4-z,3/4+y 3/4+z,1/4+y,3/4-x 1/4+z,3/4-y,3/4+x 3/4-z,3/4+y,1/4+x 1/4-z,1/4-y,1/4-x 1/4-x,1/4-y,1/4-z 1/4+x,3/4+y,3/4-z 3/4+x,3/4-y,1/4+z 3/4-x,1/4+y,3/4+z 1/4-z,1/4-x,1/4-y 3/4-z,1/4+x,3/4+y 1/4+z,3/4+x,3/4-y 3/4+z,3/4-x,1/4+y 1/4-y,1/4-z,1/4-x 3/4+y,3/4-z,1/4+x 3/4-y,1/4+z,3/4+x 1/4+y,3/4+z,3/4-x 1/2-y,-x,1/2+z y,x,z -y,1/2+x,1/2-z 1/2+y,1/2-x,-z 1/2-x,-z,1/2+y 1/2+x,1/2-z,-y x,z,y -x,1/2+z,1/2-y 1/2-z,-y,1/2+x -z,1/2+y,1/2-x 1/2+z,1/2-y,-x z,y,x x,1/2+y,1/2+z -x,-y,z 1/2-x,y,1/2-z 1/2+x,1/2-y,-z z,1/2+x,1/2+y 1/2+z,1/2-x,-y -z,-x,y 1/2-z,x,1/2-y y,1/2+z,1/2+x 1/2-y,z,1/2-x 1/2+y,1/2-z,-x -y,-z,x 3/4+y,3/4+x,1/4-z 1/4-y,3/4-x,3/4-z 1/4+y,1/4-x,1/4+z 3/4-y,1/4+x,3/4+z 3/4+x,3/4+z,1/4-y 3/4-x,1/4+z,3/4+y 1/4-x,3/4-z,3/4-y 1/4+x,1/4-z,1/4+y 3/4+z,3/4+y,1/4-x 1/4+z,1/4-y,1/4+x 3/4-z,1/4+y,3/4+x 1/4-z,3/4-y,3/4-x 1/4-x,3/4-y,3/4-z 1/4+x,1/4+y,1/4-z 3/4+x,1/4-y,3/4+z 3/4-x,3/4+y,1/4+z 1/4-z,3/4-x,3/4-y 3/4-z,3/4+x,1/4+y 1/4+z,1/4+x,1/4-y 3/4+z,1/4-x,3/4+y 1/4-y,3/4-z,3/4-x 3/4+y,1/4-z,3/4+x 3/4-y,3/4+z,1/4+x 1/4+y,1/4+z,1/4-x 1/2-y,1/2-x,z y,1/2+x,1/2+z -y,x,-z 1/2+y,-x,1/2-z 1/2-x,1/2-z,y 1/2+x,-z,1/2-y x,1/2+z,1/2+y -x,z,-y 1/2-z,1/2-y,x -z,y,-x 1/2+z,-y,1/2-x z,1/2+y,1/2+x 1/2+x,y,1/2+z 1/2-x,1/2-y,z -x,1/2+y,1/2-z x,-y,-z 1/2+z,x,1/2+y z,-x,-y 1/2-z,1/2-x,y -z,1/2+x,1/2-y 1/2+y,z,1/2+x -y,1/2+z,1/2-x y,-z,-x 1/2-y,1/2-z,x 1/4+y,1/4+x,1/4-z 3/4-y,1/4-x,3/4-z 3/4+y,3/4-x,1/4+z 1/4-y,3/4+x,3/4+z 1/4+x,1/4+z,1/4-y 1/4-x,3/4+z,3/4+y 3/4-x,1/4-z,3/4-y 3/4+x,3/4-z,1/4+y 1/4+z,1/4+y,1/4-x 3/4+z,3/4-y,1/4+x 1/4-z,3/4+y,3/4+x 3/4-z,1/4-y,3/4-x 3/4-x,1/4-y,3/4-z 3/4+x,3/4+y,1/4-z 1/4+x,3/4-y,3/4+z 1/4-x,1/4+y,1/4+z 3/4-z,1/4-x,3/4-y 1/4-z,1/4+x,1/4+y 3/4+z,3/4+x,1/4-y 1/4+z,3/4-x,3/4+y 3/4-y,1/4-z,3/4-x 1/4+y,3/4-z,3/4+x 1/4-y,1/4+z,1/4+x 3/4+y,3/4+z,1/4-x -y,-x,z 1/2+y,x,1/2+z 1/2-y,1/2+x,-z y,1/2-x,1/2-z -x,-z,y x,1/2-z,1/2-y 1/2+x,z,1/2+y 1/2-x,1/2+z,-y -z,-y,x 1/2-z,1/2+y,-x z,1/2-y,1/2-x 1/2+z,y,1/2+x 1/2+x,1/2+y,z 1/2-x,-y,1/2+z -x,y,-z x,1/2-y,1/2-z 1/2+z,1/2+x,y z,1/2-x,1/2-y 1/2-z,-x,1/2+y -z,x,-y 1/2+y,1/2+z,x -y,z,-x y,1/2-z,1/2-x 1/2-y,-z,1/2+x 1/4+y,3/4+x,3/4-z 3/4-y,3/4-x,1/4-z 3/4+y,1/4-x,3/4+z 1/4-y,1/4+x,1/4+z 1/4+x,3/4+z,3/4-y 1/4-x,1/4+z,1/4+y 3/4-x,3/4-z,1/4-y 3/4+x,1/4-z,3/4+y 1/4+z,3/4+y,3/4-x 3/4+z,1/4-y,3/4+x 1/4-z,1/4+y,1/4+x 3/4-z,3/4-y,1/4-x 3/4-x,3/4-y,1/4-z 3/4+x,1/4+y,3/4-z 1/4+x,1/4-y,1/4+z 1/4-x,3/4+y,3/4+z 3/4-z,3/4-x,1/4-y 1/4-z,3/4+x,3/4+y 3/4+z,1/4+x,3/4-y 1/4+z,1/4-x,1/4+y 3/4-y,3/4-z,1/4-x 1/4+y,1/4-z,1/4+x 1/4-y,3/4+z,3/4+x 3/4+y,1/4+z,3/4-x -y,1/2-x,1/2+z 1/2+y,1/2+x,z 1/2-y,x,1/2-z y,-x,-z -x,1/2-z,1/2+y x,-z,-y 1/2+x,1/2+z,y 1/2-x,z,1/2-y -z,1/2-y,1/2+x 1/2-z,y,1/2-x z,-y,-x 1/2+z,1/2+y,x",
+  "x,y,z 3/4-x,1/4-y,1/2+z 1/4-x,1/2+y,3/4-z 1/2+x,3/4-y,1/4-z z,x,y 1/2+z,3/4-x,1/4-y 3/4-z,1/4-x,1/2+y 1/4-z,1/2+x,3/4-y y,z,x 1/4-y,1/2+z,3/4-x 1/2+y,3/4-z,1/4-x 3/4-y,1/4-z,1/2+x 3/4+y,1/4+x,1/2-z -y,-x,-z 1/4+y,1/2-x,3/4+z 1/2-y,3/4+x,1/4+z 3/4+x,1/4+z,1/2-y 1/2-x,3/4+z,1/4+y -x,-z,-y 1/4+x,1/2-z,3/4+y 3/4+z,1/4+y,1/2-x 1/4+z,1/2-y,3/4+x 1/2-z,3/4+y,1/4+x -z,-y,-x -x,-y,-z 1/4+x,3/4+y,1/2-z 3/4+x,1/2-y,1/4+z 1/2-x,1/4+y,3/4+z -z,-x,-y 1/2-z,1/4+x,3/4+y 1/4+z,3/4+x,1/2-y 3/4+z,1/2-x,1/4+y -y,-z,-x 3/4+y,1/2-z,1/4+x 1/2-y,1/4+z,3/4+x 1/4+y,3/4+z,1/2-x 1/4-y,3/4-x,1/2+z y,x,z 3/4-y,1/2+x,1/4-z 1/2+y,1/4-x,3/4-z 1/4-x,3/4-z,1/2+y 1/2+x,1/4-z,3/4-y x,z,y 3/4-x,1/2+z,1/4-y 1/4-z,3/4-y,1/2+x 3/4-z,1/2+y,1/4-x 1/2+z,1/4-y,3/4-x z,y,x x,1/2+y,1/2+z 3/4-x,3/4-y,z 1/4-x,y,1/4-z 1/2+x,1/4-y,3/4-z z,1/2+x,1/2+y 1/2+z,1/4-x,3/4-y 3/4-z,3/4-x,y 1/4-z,x,1/4-y y,1/2+z,1/2+x 1/4-y,z,1/4-x 1/2+y,1/4-z,3/4-x 3/4-y,3/4-z,x 3/4+y,3/4+x,-z -y,1/2-x,1/2-z 1/4+y,-x,1/4+z 1/2-y,1/4+x,3/4+z 3/4+x,3/4+z,-y 1/2-x,1/4+z,3/4+y -x,1/2-z,1/2-y 1/4+x,-z,1/4+y 3/4+z,3/4+y,-x 1/4+z,-y,1/4+x 1/2-z,1/4+y,3/4+x -z,1/2-y,1/2-x -x,1/2-y,1/2-z 1/4+x,1/4+y,-z 3/4+x,-y,3/4+z 1/2-x,3/4+y,1/4+z -z,1/2-x,1/2-y 1/2-z,3/4+x,1/4+y 1/4+z,1/4+x,-y 3/4+z,-x,3/4+y -y,1/2-z,1/2-x 3/4+y,-z,3/4+x 1/2-y,3/4+z,1/4+x 1/4+y,1/4+z,-x 1/4-y,1/4-x,z y,1/2+x,1/2+z 3/4-y,x,3/4-z 1/2+y,3/4-x,1/4-z 1/4-x,1/4-z,y 1/2+x,3/4-z,1/4-y x,1/2+z,1/2+y 3/4-x,z,3/4-y 1/4-z,1/4-y,x 3/4-z,y,3/4-x 1/2+z,3/4-y,1/4-x z,1/2+y,1/2+x 1/2+x,y,1/2+z 1/4-x,1/4-y,z 3/4-x,1/2+y,1/4-z x,3/4-y,3/4-z 1/2+z,x,1/2+y z,3/4-x,3/4-y 1/4-z,1/4-x,y 3/4-z,1/2+x,1/4-y 1/2+y,z,1/2+x 3/4-y,1/2+z,1/4-x y,3/4-z,3/4-x 1/4-y,1/4-z,x 1/4+y,1/4+x,-z 1/2-y,-x,1/2-z 3/4+y,1/2-x,1/4+z -y,3/4+x,3/4+z 1/4+x,1/4+z,-y -x,3/4+z,3/4+y 1/2-x,-z,1/2-y 3/4+x,1/2-z,1/4+y 1/4+z,1/4+y,-x 3/4+z,1/2-y,1/4+x -z,3/4+y,3/4+x 1/2-z,-y,1/2-x 1/2-x,-y,1/2-z 3/4+x,3/4+y,-z 1/4+x,1/2-y,3/4+z -x,1/4+y,1/4+z 1/2-z,-x,1/2-y -z,1/4+x,1/4+y 3/4+z,3/4+x,-y 1/4+z,1/2-x,3/4+y 1/2-y,-z,1/2-x 1/4+y,1/2-z,3/4+x -y,1/4+z,1/4+x 3/4+y,3/4+z,-x 3/4-y,3/4-x,z 1/2+y,x,1/2+z 1/4-y,1/2+x,3/4-z y,1/4-x,1/4-z 3/4-x,3/4-z,y x,1/4-z,1/4-y 1/2+x,z,1/2+y 1/4-x,1/2+z,3/4-y 3/4-z,3/4-y,x 1/4-z,1/2+y,3/4-x z,1/4-y,1/4-x 1/2+z,y,1/2+x 1/2+x,1/2+y,z 1/4-x,3/4-y,1/2+z 3/4-x,y,3/4-z x,1/4-y,1/4-z 1/2+z,1/2+x,y z,1/4-x,1/4-y 1/4-z,3/4-x,1/2+y 3/4-z,x,3/4-y 1/2+y,1/2+z,x 3/4-y,z,3/4-x y,1/4-z,1/4-x 1/4-y,3/4-z,1/2+x 1/4+y,3/4+x,1/2-z 1/2-y,1/2-x,-z 3/4+y,-x,3/4+z -y,1/4+x,1/4+z 1/4+x,3/4+z,1/2-y -x,1/4+z,1/4+y 1/2-x,1/2-z,-y 3/4+x,-z,3/4+y 1/4+z,3/4+y,1/2-x 3/4+z,-y,3/4+x -z,1/4+y,1/4+x 1/2-z,1/2-y,-x 1/2-x,1/2-y,-z 3/4+x,1/4+y,1/2-z 1/4+x,-y,1/4+z -x,3/4+y,3/4+z 1/2-z,1/2-x,-y -z,3/4+x,3/4+y 3/4+z,1/4+x,1/2-y 1/4+z,-x,1/4+y 1/2-y,1/2-z,-x 1/4+y,-z,1/4+x -y,3/4+z,3/4+x 3/4+y,1/4+z,1/2-x 3/4-y,1/4-x,1/2+z 1/2+y,1/2+x,z 1/4-y,x,1/4-z y,3/4-x,3/4-z 3/4-x,1/4-z,1/2+y x,3/4-z,3/4-y 1/2+x,1/2+z,y 1/4-x,z,1/4-y 3/4-z,1/4-y,1/2+x 1/4-z,y,1/4-x z,3/4-y,3/4-x 1/2+z,1/2+y,x",
+  "x,y,z -x,1/2-y,1/2+z 1/2-x,1/2+y,-z 1/2+x,-y,1/2-z z,x,y 1/2+z,-x,1/2-y -z,1/2-x,1/2+y 1/2-z,1/2+x,-y y,z,x 1/2-y,1/2+z,-x 1/2+y,-z,1/2-x -y,1/2-z,1/2+x 3/4+y,1/4+x,3/4-z 1/4-y,1/4-x,1/4-z 1/4+y,3/4-x,3/4+z 3/4-y,3/4+x,1/4+z 3/4+x,1/4+z,3/4-y 3/4-x,3/4+z,1/4+y 1/4-x,1/4-z,1/4-y 1/4+x,3/4-z,3/4+y 3/4+z,1/4+y,3/4-x 1/4+z,3/4-y,3/4+x 3/4-z,3/4+y,1/4+x 1/4-z,1/4-y,1/4-x 3/4-x,3/4-y,3/4-z 3/4+x,1/4+y,1/4-z 1/4+x,1/4-y,3/4+z 1/4-x,3/4+y,1/4+z 3/4-z,3/4-x,3/4-y 1/4-z,3/4+x,1/4+y 3/4+z,1/4+x,1/4-y 1/4+z,1/4-x,3/4+y 3/4-y,3/4-z,3/4-x 1/4+y,1/4-z,3/4+x 1/4-y,3/4+z,1/4+x 3/4+y,1/4+z,1/4-x -y,1/2-x,z 1/2+y,1/2+x,1/2+z 1/2-y,x,-z y,-x,1/2-z -x,1/2-z,y x,-z,1/2-y 1/2+x,1/2+z,1/2+y 1/2-x,z,-y -z,1/2-y,x 1/2-z,y,-x z,-y,1/2-x 1/2+z,1/2+y,1/2+x x,1/2+y,1/2+z -x,-y,z 1/2-x,y,1/2-z 1/2+x,1/2-y,-z z,1/2+x,1/2+y 1/2+z,1/2-x,-y -z,-x,y 1/2-z,x,1/2-y y,1/2+z,1/2+x 1/2-y,z,1/2-x 1/2+y,1/2-z,-x -y,-z,x 3/4+y,3/4+x,1/4-z 1/4-y,3/4-x,3/4-z 1/4+y,1/4-x,1/4+z 3/4-y,1/4+x,3/4+z 3/4+x,3/4+z,1/4-y 3/4-x,1/4+z,3/4+y 1/4-x,3/4-z,3/4-y 1/4+x,1/4-z,1/4+y 3/4+z,3/4+y,1/4-x 1/4+z,1/4-y,1/4+x 3/4-z,1/4+y,3/4+x 1/4-z,3/4-y,3/4-x 3/4-x,1/4-y,1/4-z 3/4+x,3/4+y,3/4-z 1/4+x,3/4-y,1/4+z 1/4-x,1/4+y,3/4+z 3/4-z,1/4-x,1/4-y 1/4-z,1/4+x,3/4+y 3/4+z,3/4+x,3/4-y 1/4+z,3/4-x,1/4+y 3/4-y,1/4-z,1/4-x 1/4+y,3/4-z,1/4+x 1/4-y,1/4+z,3/4+x 3/4+y,3/4+z,3/4-x -y,-x,1/2+z 1/2+y,x,z 1/2-y,1/2+x,1/2-z y,1/2-x,-z -x,-z,1/2+y x,1/2-z,-y 1/2+x,z,y 1/2-x,1/2+z,1/2-y -z,-y,1/2+x 1/2-z,1/2+y,1/2-x z,1/2-y,-x 1/2+z,y,x 1/2+x,y,1/2+z 1/2-x,1/2-y,z -x,1/2+y,1/2-z x,-y,-z 1/2+z,x,1/2+y z,-x,-y 1/2-z,1/2-x,y -z,1/2+x,1/2-y 1/2+y,z,1/2+x -y,1/2+z,1/2-x y,-z,-x 1/2-y,1/2-z,x 1/4+y,1/4+x,1/4-z 3/4-y,1/4-x,3/4-z 3/4+y,3/4-x,1/4+z 1/4-y,3/4+x,3/4+z 1/4+x,1/4+z,1/4-y 1/4-x,3/4+z,3/4+y 3/4-x,1/4-z,3/4-y 3/4+x,3/4-z,1/4+y 1/4+z,1/4+y,1/4-x 3/4+z,3/4-y,1/4+x 1/4-z,3/4+y,3/4+x 3/4-z,1/4-y,3/4-x 1/4-x,3/4-y,1/4-z 1/4+x,1/4+y,3/4-z 3/4+x,1/4-y,1/4+z 3/4-x,3/4+y,3/4+z 1/4-z,3/4-x,1/4-y 3/4-z,3/4+x,3/4+y 1/4+z,1/4+x,3/4-y 3/4+z,1/4-x,1/4+y 1/4-y,3/4-z,1/4-x 3/4+y,1/4-z,1/4+x 3/4-y,3/4+z,3/4+x 1/4+y,1/4+z,3/4-x 1/2-y,1/2-x,1/2+z y,1/2+x,z -y,x,1/2-z 1/2+y,-x,-z 1/2-x,1/2-z,1/2+y 1/2+x,-z,-y x,1/2+z,y -x,z,1/2-y 1/2-z,1/2-y,1/2+x -z,y,1/2-x 1/2+z,-y,-x z,1/2+y,x 1/2+x,1/2+y,z 1/2-x,-y,1/2+z -x,y,-z x,1/2-y,1/2-z 1/2+z,1/2+x,y z,1/2-x,1/2-y 1/2-z,-x,1/2+y -z,x,-y 1/2+y,1/2+z,x -y,z,-x y,1/2-z,1/2-x 1/2-y,-z,1/2+x 1/4+y,3/4+x,3/4-z 3/4-y,3/4-x,1/4-z 3/4+y,1/4-x,3/4+z 1/4-y,1/4+x,1/4+z 1/4+x,3/4+z,3/4-y 1/4-x,1/4+z,1/4+y 3/4-x,3/4-z,1/4-y 3/4+x,1/4-z,3/4+y 1/4+z,3/4+y,3/4-x 3/4+z,1/4-y,3/4+x 1/4-z,1/4+y,1/4+x 3/4-z,3/4-y,1/4-x 1/4-x,1/4-y,3/4-z 1/4+x,3/4+y,1/4-z 3/4+x,3/4-y,3/4+z 3/4-x,1/4+y,1/4+z 1/4-z,1/4-x,3/4-y 3/4-z,1/4+x,1/4+y 1/4+z,3/4+x,1/4-y 3/4+z,3/4-x,3/4+y 1/4-y,1/4-z,3/4-x 3/4+y,3/4-z,3/4+x 3/4-y,1/4+z,1/4+x 1/4+y,3/4+z,1/4-x 1/2-y,-x,z y,x,1/2+z -y,1/2+x,-z 1/2+y,1/2-x,1/2-z 1/2-x,-z,y 1/2+x,1/2-z,1/2-y x,z,1/2+y -x,1/2+z,-y 1/2-z,-y,x -z,1/2+y,-x 1/2+z,1/2-y,1/2-x z,y,1/2+x",
+  "x,y,z 1/4-x,3/4-y,1/2+z 3/4-x,1/2+y,1/4-z 1/2+x,1/4-y,3/4-z z,x,y 1/2+z,1/4-x,3/4-y 1/4-z,3/4-x,1/2+y 3/4-z,1/2+x,1/4-y y,z,x 3/4-y,1/2+z,1/4-x 1/2+y,1/4-z,3/4-x 1/4-y,3/4-z,1/2+x 3/4+y,1/4+x,-z 1/2-y,1/2-x,1/2-z 1/4+y,-x,3/4+z -y,3/4+x,1/4+z 3/4+x,1/4+z,-y -x,3/4+z,1/4+y 1/2-x,1/2-z,1/2-y 1/4+x,-z,3/4+y 3/4+z,1/4+y,-x 1/4+z,-y,3/4+x -z,3/4+y,1/4+x 1/2-z,1/2-y,1/2-x -x,-y,-z 3/4+x,1/4+y,1/2-z 1/4+x,1/2-y,3/4+z 1/2-x,3/4+y,1/4+z -z,-x,-y 1/2-z,3/4+x,1/4+y 3/4+z,1/4+x,1/2-y 1/4+z,1/2-x,3/4+y -y,-z,-x 1/4+y,1/2-z,3/4+x 1/2-y,3/4+z,1/4+x 3/4+y,1/4+z,1/2-x 1/4-y,3/4-x,z 1/2+y,1/2+x,1/2+z 3/4-y,x,1/4-z y,1/4-x,3/4-z 1/4-x,3/4-z,y x,1/4-z,3/4-y 1/2+x,1/2+z,1/2+y 3/4-x,z,1/4-y 1/4-z,3/4-y,x 3/4-z,y,1/4-x z,1/4-y,3/4-x 1/2+z,1/2+y,1/2+x x,1/2+y,1/2+z 1/4-x,1/4-y,z 3/4-x,y,3/4-z 1/2+x,3/4-y,1/4-z z,1/2+x,1/2+y 1/2+z,3/4-x,1/4-y 1/4-z,1/4-x,y 3/4-z,x,3/4-y y,1/2+z,1/2+x 3/4-y,z,3/4-x 1/2+y,3/4-z,1/4-x 1/4-y,1/4-z,x 3/4+y,3/4+x,1/2-z 1/2-y,-x,-z 1/4+y,1/2-x,1/4+z -y,1/4+x,3/4+z 3/4+x,3/4+z,1/2-y -x,1/4+z,3/4+y 1/2-x,-z,-y 1/4+x,1/2-z,1/4+y 3/4+z,3/4+y,1/2-x 1/4+z,1/2-y,1/4+x -z,1/4+y,3/4+x 1/2-z,-y,-x -x,1/2-y,1/2-z 3/4+x,3/4+y,-z 1/4+x,-y,1/4+z 1/2-x,1/4+y,3/4+z -z,1/2-x,1/2-y 1/2-z,1/4+x,3/4+y 3/4+z,3/4+x,-y 1/4+z,-x,1/4+y -y,1/2-z,1/2-x 1/4+y,-z,1/4+x 1/2-y,1/4+z,3/4+x 3/4+y,3/4+z,-x 1/4-y,1/4-x,1/2+z 1/2+y,x,z 3/4-y,1/2+x,3/4-z y,3/4-x,1/4-z 1/4-x,1/4-z,1/2+y x,3/4-z,1/4-y 1/2+x,z,y 3/4-x,1/2+z,3/4-y 1/4-z,1/4-y,1/2+x 3/4-z,1/2+y,3/4-x z,3/4-y,1/4-x 1/2+z,y,x 1/2+x,y,1/2+z 3/4-x,3/4-y,z 1/4-x,1/2+y,3/4-z x,1/4-y,1/4-z 1/2+z,x,1/2+y z,1/4-x,1/4-y 3/4-z,3/4-x,y 1/4-z,1/2+x,3/4-y 1/2+y,z,1/2+x 1/4-y,1/2+z,3/4-x y,1/4-z,1/4-x 3/4-y,3/4-z,x 1/4+y,1/4+x,1/2-z -y,1/2-x,-z 3/4+y,-x,1/4+z 1/2-y,3/4+x,3/4+z 1/4+x,1/4+z,1/2-y 1/2-x,3/4+z,3/4+y -x,1/2-z,-y 3/4+x,-z,1/4+y 1/4+z,1/4+y,1/2-x 3/4+z,-y,1/4+x 1/2-z,3/4+y,3/4+x -z,1/2-y,-x 1/2-x,-y,1/2-z 1/4+x,1/4+y,-z 3/4+x,1/2-y,1/4+z -x,3/4+y,3/4+z 1/2-z,-x,1/2-y -z,3/4+x,3/4+y 1/4+z,1/4+x,-y 3/4+z,1/2-x,1/4+y 1/2-y,-z,1/2-x 3/4+y,1/2-z,1/4+x -y,3/4+z,3/4+x 1/4+y,1/4+z,-x 3/4-y,3/4-x,1/2+z y,1/2+x,z 1/4-y,x,3/4-z 1/2+y,1/4-x,1/4-z 3/4-x,3/4-z,1/2+y 1/2+x,1/4-z,1/4-y x,1/2+z,y 1/4-x,z,3/4-y 3/4-z,3/4-y,1/2+x 1/4-z,y,3/4-x 1/2+z,1/4-y,1/4-x z,1/2+y,x 1/2+x,1/2+y,z 3/4-x,1/4-y,1/2+z 1/4-x,y,1/4-z x,3/4-y,3/4-z 1/2+z,1/2+x,y z,3/4-x,3/4-y 3/4-z,1/4-x,1/2+y 1/4-z,x,1/4-y 1/2+y,1/2+z,x 1/4-y,z,1/4-x y,3/4-z,3/4-x 3/4-y,1/4-z,1/2+x 1/4+y,3/4+x,-z -y,-x,1/2-z 3/4+y,1/2-x,3/4+z 1/2-y,1/4+x,1/4+z 1/4+x,3/4+z,-y 1/2-x,1/4+z,1/4+y -x,-z,1/2-y 3/4+x,1/2-z,3/4+y 1/4+z,3/4+y,-x 3/4+z,1/2-y,3/4+x 1/2-z,1/4+y,1/4+x -z,-y,1/2-x 1/2-x,1/2-y,-z 1/4+x,3/4+y,1/2-z 3/4+x,-y,3/4+z -x,1/4+y,1/4+z 1/2-z,1/2-x,-y -z,1/4+x,1/4+y 1/4+z,3/4+x,1/2-y 3/4+z,-x,3/4+y 1/2-y,1/2-z,-x 3/4+y,-z,3/4+x -y,1/4+z,1/4+x 1/4+y,3/4+z,1/2-x 3/4-y,1/4-x,z y,x,1/2+z 1/4-y,1/2+x,1/4-z 1/2+y,3/4-x,3/4-z 3/4-x,1/4-z,y 1/2+x,3/4-z,3/4-y x,z,1/2+y 1/4-x,1/2+z,1/4-y 3/4-z,1/4-y,x 1/4-z,1/2+y,1/4-x 1/2+z,3/4-y,3/4-x z,y,1/2+x",
+  "x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z y,x,-z -x,y,-z -y,-x,-z z,x,y -x,z,y -z,-x,y x,-z,y z,-x,-y x,z,-y -z,x,-y -x,-z,-y y,z,x y,-z,-x z,y,-x -y,z,-x -z,-y,-x -y,-z,x z,-y,x -z,y,x -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x,y,z -y,-x,z x,-y,z y,x,z -z,-x,-y x,-z,-y z,x,-y -x,z,-y -z,x,y -x,-z,y z,-x,y x,z,y -y,-z,-x -y,z,x -z,-y,x y,-z,x z,y,x y,z,-x -z,y,-x z,-y,-x x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -y+1/2,-x+1/2,-z+1/2 z+1/2,x+1/2,y+1/2 -x+1/2,z+1/2,y+1/2 -z+1/2,-x+1/2,y+1/2 x+1/2,-z+1/2,y+1/2 z+1/2,-x+1/2,-y+1/2 x+1/2,z+1/2,-y+1/2 -z+1/2,x+1/2,-y+1/2 -x+1/2,-z+1/2,-y+1/2 y+1/2,z+1/2,x+1/2 y+1/2,-z+1/2,-x+1/2 z+1/2,y+1/2,-x+1/2 -y+1/2,z+1/2,-x+1/2 -z+1/2,-y+1/2,-x+1/2 -y+1/2,-z+1/2,x+1/2 z+1/2,-y+1/2,x+1/2 -z+1/2,y+1/2,x+1/2 -x+1/2,-y+1/2,-z+1/2 y+1/2,-x+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 -z+1/2,-x+1/2,-y+1/2 x+1/2,-z+1/2,-y+1/2 z+1/2,x+1/2,-y+1/2 -x+1/2,z+1/2,-y+1/2 -z+1/2,x+1/2,y+1/2 -x+1/2,-z+1/2,y+1/2 z+1/2,-x+1/2,y+1/2 x+1/2,z+1/2,y+1/2 -y+1/2,-z+1/2,-x+1/2 -y+1/2,z+1/2,x+1/2 -z+1/2,-y+1/2,x+1/2 y+1/2,-z+1/2,x+1/2 z+1/2,y+1/2,x+1/2 y+1/2,z+1/2,-x+1/2 -z+1/2,y+1/2,-x+1/2 z+1/2,-y+1/2,-x+1/2",
+"x,y,z 1/2+x,1/2+y,1/2+z z,1/2-x,1/2+y 1/2+z,-x,y -y,1/2+z,1/2-x 1/2-y,z,-x x,1/2-y,1/2+z 1/2+x,-y,z -z,1/2+x,1/2-y 1/2-z,x,-y y,1/2-z,1/2+x 1/2+y,-z,x -x,1/2+y,1/2-z 1/2-x,y,-z 3/4+x,1/4-z,3/4-y 1/4+x,3/4-z,1/4-y 3/4-z,1/4+y,3/4+x 1/4-z,3/4+y,1/4+x 3/4+y,1/4-x,3/4-z 1/4+y,3/4-x,1/4-z 3/4-x,1/4+z,3/4+y 1/4-x,3/4+z,1/4+y 3/4+z,1/4-y,3/4-x 1/4+z,3/4-y,1/4-x 3/4-y,1/4+x,3/4+z 1/4-y,3/4+x,1/4+z 1/4+x,1/4+z,1/4+y 3/4+x,3/4+z,3/4+y 1/4-z,1/4-y,1/4-x 3/4-z,3/4-y,3/4-x 1/4+y,1/4+x,1/4+z 3/4+y,3/4+x,3/4+z 1/4-x,1/4-z,1/4-y 3/4-x,3/4-z,3/4-y 1/4+z,1/4+y,1/4+x 3/4+z,3/4+y,3/4+x 1/4-y,1/4-x,1/4-z 3/4-y,3/4-x,3/4-z 1/2+z,x,1/2-y z,1/2+x,-y 1/2-y,-z,1/2+x -y,1/2-z,x 1/2+x,y,1/2-z x,1/2+y,-z 1/2-z,-x,1/2+y -z,1/2-x,y 1/2+y,z,1/2-x y,1/2+z,-x 1/2-x,-y,1/2+z -x,1/2-y,z 1/2-z,1/2+x,y -z,x,1/2+y 1/2+y,1/2-z,-x y,-z,1/2-x 1/2-x,1/2+y,z -x,y,1/2+z 1/2+z,1/2-x,-y z,-x,1/2-y 1/2-y,1/2+z,x -y,z,1/2+x 1/2+x,1/2-y,-z x,-y,1/2-z 3/4-x,3/4+z,1/4-y 1/4-x,1/4+z,3/4-y 3/4+z,3/4-y,1/4+x 1/4+z,1/4-y,3/4+x 3/4-y,3/4+x,1/4-z 1/4-y,1/4+x,3/4-z 3/4+x,3/4-z,1/4+y 1/4+x,1/4-z,3/4+y 3/4-z,3/4+y,1/4-x 1/4-z,1/4+y,3/4-x 3/4+y,3/4-x,1/4+z 1/4+y,1/4-x,3/4+z 1/4-x,3/4-z,3/4+y 3/4-x,1/4-z,1/4+y 1/4+z,3/4+y,3/4-x 3/4+z,1/4+y,1/4-x 1/4-y,3/4-x,3/4+z 3/4-y,1/4-x,1/4+z 1/4+x,3/4+z,3/4-y 3/4+x,1/4+z,1/4-y 1/4-z,3/4-y,3/4+x 3/4-z,1/4-y,1/4+x 1/4+y,3/4+x,3/4-z 3/4+y,1/4+x,1/4-z -z,-x,-y 1/2-z,1/2-x,1/2-y y,z,x 1/2+y,1/2+z,1/2+x -x,-y,-z 1/2-x,1/2-y,1/2-z z,x,y 1/2+z,1/2+x,1/2+y -y,-z,-x 1/2-y,1/2-z,1/2-x"};
+
 } // Core
 } // Avogadro
 
diff --git a/avogadro/core/spacegroups.cpp b/avogadro/core/spacegroups.cpp
index a747851d6..dc9176a73 100644
--- a/avogadro/core/spacegroups.cpp
+++ b/avogadro/core/spacegroups.cpp
@@ -14,7 +14,19 @@
 
 ******************************************************************************/
 
+#include <algorithm> // for std::count()
+#include <cassert>
+#include <cctype> // for isdigit()
+#include <iostream>
+
+#include "array.h"
+#include "crystaltools.h"
+#include "molecule.h"
 #include "spacegroupdata.h"
+#include "unitcell.h"
+#include "utilities.h"
+#include "vector.h"
+
 #include "spacegroups.h"
 
 namespace Avogadro {
@@ -125,5 +137,166 @@ const char * SpaceGroups::setting(unsigned short hallNumber)
     return space_group_setting[0];
 }
 
+unsigned short SpaceGroups::transformsCount(unsigned short hallNumber)
+{
+  if (hallNumber <= 530) {
+    std::string s = transformsString(hallNumber);
+    return std::count(s.begin(), s.end(), ' ') + 1;
+  }
+  else {
+    return 0;
+  }
+}
+
+Real readTransformCoordinate(const std::string &coordinate,
+                             const Vector3 &v)
+{
+  // The coordinate should be at least 1 character
+  assert(coordinate.size() != 0);
+
+  Real ret = 0.0;
+  Index i = 0;
+  while (i < coordinate.size()) {
+    bool isNeg = false;
+    if (coordinate[i] == '-') {
+      isNeg = true;
+      ++i;
+      assert(i < coordinate.size());
+    }
+    // We assume we are adding, so no need for a boolean here
+    else if (coordinate[i] == '+') {
+      ++i;
+      assert(i < coordinate.size());
+    }
+
+    // Check to see if we have a digit
+    if (isdigit(coordinate[i])) {
+      // We SHOULD have a fraction. Also, we SHOULD only deal with single
+      // digit numbers. Add assertions to make sure this is the case.
+      assert(i + 2 < coordinate.size());
+      assert(coordinate[i + 1] == '/');
+      assert(isdigit(coordinate[i + 2]));
+      // Assert that this is a single digit number
+      if (coordinate.size() > i + 3)
+        assert(!isdigit(coordinate[i + 3]));
+      // Ancient methods used by our forefathers to cast a char to an int
+      Real numerator = coordinate[i] - '0';
+      Real denominator = coordinate[i + 2] - '0';
+      Real fraction = numerator / denominator;
+      fraction *= (isNeg) ? -1.0 : 1.0;
+
+      ret += fraction;
+      i += 3;
+    }
+    else if (coordinate[i] == 'x') {
+      ret += (isNeg) ? -1.0 * v[0] : v[0];
+      ++i;
+    }
+    else if (coordinate[i] == 'y') {
+      ret += (isNeg) ? -1.0 * v[1] : v[1];
+      ++i;
+    }
+    else if (coordinate[i] == 'z') {
+      ret += (isNeg) ? -1.0 * v[2] : v[2];
+      ++i;
+    }
+    else {
+      std::cerr << "In " << __FUNCTION__ << ", error reading string: '"
+                << coordinate << "'\n";
+      return 0;
+    }
+  }
+  return ret;
+}
+
+Vector3 getSingleTransform(const std::string &transform,
+                           const Vector3 &v)
+{
+  Vector3 ret;
+  std::vector<std::string> coordinates = split(transform, ',');
+
+  // This should be 3 in size. Something very bad happened if it is not.
+  assert(coordinates.size() == 3);
+
+  ret[0] = readTransformCoordinate(coordinates[0], v);
+  ret[1] = readTransformCoordinate(coordinates[1], v);
+  ret[2] = readTransformCoordinate(coordinates[2], v);
+  return ret;
+}
+
+Array<Vector3> SpaceGroups::getTransforms(unsigned short hallNumber,
+                                          const Vector3 &v)
+{
+  if (hallNumber == 0 || hallNumber > 530)
+    return Array<Vector3>();
+
+  Array<Vector3> ret;
+
+  std::string transformsStr = transformsString(hallNumber);
+  // These transforms are separated by spaces
+  std::vector<std::string> transforms = split(transformsStr, ' ');
+
+  for (Index i = 0; i < transforms.size(); ++i)
+    ret.push_back(getSingleTransform(transforms[i], v));
+
+  return ret;
+}
+
+void SpaceGroups::fillUnitCell(Molecule &mol, unsigned short hallNumber,
+                               double cartTol)
+{
+  if (!mol.unitCell())
+    return;
+  UnitCell *uc = mol.unitCell();
+
+  Array<unsigned char> atomicNumbers = mol.atomicNumbers();
+  Array<Vector3> positions = mol.atomPositions3d();
+  Index numAtoms = mol.atomCount();
+
+  // We are going to loop through the original atoms. That is why
+  // we have numAtoms cached instead of using atomCount().
+  for (Index i = 0; i < numAtoms; ++i) {
+    unsigned char atomicNum = atomicNumbers[i];
+    Vector3 pos = uc->toFractional(positions[i]);
+
+    Array<Vector3> newAtoms = getTransforms(hallNumber, pos);
+
+    // We skip 0 because it is the original atom.
+    for (Index j = 1; j < newAtoms.size(); ++j) {
+      // The new atoms are in fractional coordinates. Convert to cartesian.
+      Vector3 newCandidate = uc->toCartesian(newAtoms[j]);
+
+      // If there is already an atom in this location within a
+      // certain tolerance, do not add the atom.
+      bool atomAlreadyPresent = false;
+      for (Index k = 0; k < mol.atomCount(); k++) {
+        // If it does not have the same atomic number, skip over it.
+        if (mol.atomicNumber(k) != atomicNum)
+          continue;
+        Real distance = uc->distance(mol.atomPosition3d(k), newCandidate);
+        if (distance <= cartTol)
+          atomAlreadyPresent = true;
+      }
+
+      // If there is already an atom present here, just continue
+      if (atomAlreadyPresent)
+        continue;
+
+      // If we got this far, add the atom!
+      Atom newAtom = mol.addAtom(atomicNum);
+      newAtom.setPosition3d(newCandidate);
+    }
+  }
+  CrystalTools::wrapAtomsToUnitCell(mol);
+}
+
+const char * SpaceGroups::transformsString(unsigned short hallNumber)
+{
+  if (hallNumber <= 530)
+    return space_group_transforms[hallNumber];
+  else
+    return "";
+}
+
 } // end Core namespace
 } // end Avogadro namespace
diff --git a/avogadro/core/spacegroups.h b/avogadro/core/spacegroups.h
index f0bbb3bdc..289cd37b6 100644
--- a/avogadro/core/spacegroups.h
+++ b/avogadro/core/spacegroups.h
@@ -91,6 +91,36 @@ class AVOGADROCORE_EXPORT SpaceGroups
    * space group.
    */
   static const char * setting(unsigned short hallNumber);
+
+  /**
+   * Get the number of transforms for a given hall number.
+   * If an invalid hall number is given, 0 will be returned.
+   */
+  static unsigned short transformsCount(unsigned short hallNumber);
+
+  /**
+   * Get an array of transforms for a given hall number and a vector v.
+   * The vector should be in fractional coordinates.
+   * If an invalid hall number is given, an empty array will be returned.
+   */
+  static Array<Vector3> getTransforms(unsigned short hallNumber,
+                                      const Vector3 &v);
+
+  /**
+   * Fill a crystal with atoms by using transforms from a hall number.
+   * Nothing will be done if the molecule does not have a unit cell.
+   * The cartesian tolerance is used to check if an atom is already
+   * present at that location. If there is another atom within that
+   * distance, the new atom will not be placed there.
+   */
+  static void fillUnitCell(Molecule &mol, unsigned short hallNumber,
+                           double cartTol = 1e-5);
+
+private:
+  /**
+   * Get the transforms string stored in the database.
+   */
+  static const char * transformsString(unsigned short hallNumber);
 };
 
 } // end Core namespace
diff --git a/avogadro/core/unitcell.h b/avogadro/core/unitcell.h
index 8cf4099fa..7fb1dccb4 100644
--- a/avogadro/core/unitcell.h
+++ b/avogadro/core/unitcell.h
@@ -127,6 +127,23 @@ class AVOGADROCORE_EXPORT UnitCell
   void wrapCartesian(const Vector3 &cart, Vector3 &wrapped) const;
   /** @} */
 
+  /**
+   * Find the minimum fractional image of a fractional vector @a v.
+   * A minimum image has all fractional coordinates between -0.5 and 0.5.
+   */
+  static Vector3 minimumImageFractional(const Vector3 &v);
+
+  /**
+   * Find the minimum image of a Cartesian vector @a v.
+   * A minimum image has all fractional coordinates between -0.5 and 0.5
+   */
+  Vector3 minimumImage(const Vector3 &v) const;
+
+  /**
+   * Find the shortest distance between vectors @a v1 and @a v2.
+   */
+  Real distance(const Vector3 &v1, const Vector3 &v2) const;
+
 private:
   static Real signedAngleRadians(const Vector3 &v1, const Vector3 &v2,
                                  const Vector3 &axis);
@@ -319,6 +336,24 @@ inline void UnitCell::wrapCartesian(const Vector3 &cart, Vector3 &wrapped) const
   toCartesian(wrapped, wrapped);
 }
 
+inline Vector3 UnitCell::minimumImageFractional(const Vector3 &v)
+{
+  Real x = v[0] - rint(v[0]);
+  Real y = v[1] - rint(v[1]);
+  Real z = v[2] - rint(v[2]);
+  return Vector3(x, y, z);
+}
+
+inline Vector3 UnitCell::minimumImage(const Vector3 &v) const
+{
+  return toCartesian(minimumImageFractional(toFractional(v)));
+}
+
+inline Real UnitCell::distance(const Vector3 &v1, const Vector3 &v2) const
+{
+  return std::fabs(minimumImage(v1 - v2).norm());
+}
+
 } // namespace Core
 } // namespace Avogadro
 
diff --git a/avogadro/qtplugins/spacegroup/spacegroup.cpp b/avogadro/qtplugins/spacegroup/spacegroup.cpp
index e07033313..1db444fe3 100644
--- a/avogadro/qtplugins/spacegroup/spacegroup.cpp
+++ b/avogadro/qtplugins/spacegroup/spacegroup.cpp
@@ -24,12 +24,21 @@
 #include <avogadro/qtgui/molecule.h>
 #include <avogadro/qtgui/rwmolecule.h>
 
+#include <QtWidgets/QAbstractItemView>
 #include <QtWidgets/QAction>
+#include <QtWidgets/QDialogButtonBox>
+#include <QtWidgets/QHeaderView>
 #include <QtWidgets/QInputDialog>
+#include <QtWidgets/QLayout>
 #include <QtWidgets/QMessageBox>
+#include <QtWidgets/QScrollBar>
+#include <QtWidgets/QTableView>
+#include <QtWidgets/QVBoxLayout>
 
 #include <QtCore/QStringList>
 
+#include <QtGui/QStandardItemModel>
+
 #include <sstream>
 
 using Avogadro::Core::AvoSpglib;
@@ -49,6 +58,7 @@ SpaceGroup::SpaceGroup(QObject *parent_) :
   m_reduceToPrimitiveAction(new QAction(this)),
   m_conventionalizeCellAction(new QAction(this)),
   m_symmetrizeAction(new QAction(this)),
+  m_fillUnitCellAction(new QAction(this)),
   m_setToleranceAction(new QAction(this))
 {
   m_perceiveSpaceGroupAction->setText(tr("Perceive Space Group"));
@@ -74,6 +84,11 @@ SpaceGroup::SpaceGroup(QObject *parent_) :
   m_actions.push_back(m_symmetrizeAction);
   m_symmetrizeAction->setProperty("menu priority", 60);
 
+  m_fillUnitCellAction->setText(tr("Fill Unit Cell"));
+  connect(m_fillUnitCellAction, SIGNAL(triggered()), SLOT(fillUnitCell()));
+  m_actions.push_back(m_fillUnitCellAction);
+  m_fillUnitCellAction->setProperty("menu priority", 50);
+
   m_setToleranceAction->setText(tr("Set Tolerance"));
   connect(m_setToleranceAction, SIGNAL(triggered()), SLOT(setTolerance()));
   m_actions.push_back(m_setToleranceAction);
@@ -262,6 +277,56 @@ void SpaceGroup::symmetrize()
   }
 }
 
+void SpaceGroup::fillUnitCell()
+{
+  QStandardItemModel spacegroups;
+  QStringList modelHeader;
+  modelHeader << tr("International")
+              << tr("Hall")
+              << tr("Hermann-Mauguin");
+  spacegroups.setHorizontalHeaderLabels(modelHeader);
+  for (unsigned int i = 1; i <= 530; ++i) {
+    QList<QStandardItem*> row;
+    row << new QStandardItem(QString::number(
+                                 Core::SpaceGroups::internationalNumber(i)))
+        << new QStandardItem(QString(Core::SpaceGroups::hallSymbol(i)))
+        << new QStandardItem(QString(
+                                 Core::SpaceGroups::internationalShort(i)));
+    spacegroups.appendRow(row);
+  }
+
+  QDialog dialog;
+  dialog.setLayout(new QVBoxLayout);
+  dialog.setWindowTitle(tr("Select Space Group"));
+  QTableView *view = new QTableView;
+  view->setSelectionBehavior(QAbstractItemView::SelectRows);
+  view->setSelectionMode(QAbstractItemView::SingleSelection);
+  view->setCornerButtonEnabled(false);
+  view->setVerticalScrollMode(QAbstractItemView::ScrollPerPixel);
+  view->setHorizontalScrollBarPolicy(Qt::ScrollBarAlwaysOff);
+  view->verticalHeader()->hide();
+  view->setModel(&spacegroups);
+  dialog.layout()->addWidget(view);
+  view->selectRow(0);
+  view->resizeColumnsToContents();
+  view->resizeRowsToContents();
+  view->setMinimumWidth(view->horizontalHeader()->length()
+                        + view->verticalScrollBar()->sizeHint().width());
+  connect(view, SIGNAL(activated(QModelIndex)), &dialog, SLOT(accept()));
+  QDialogButtonBox *buttons =
+    new QDialogButtonBox(QDialogButtonBox::Ok | QDialogButtonBox::Cancel);
+  connect(buttons, SIGNAL(accepted()), &dialog, SLOT(accept()));
+  connect(buttons, SIGNAL(rejected()), &dialog, SLOT(reject()));
+  dialog.layout()->addWidget(buttons);
+  if (dialog.exec() != QDialog::Accepted)
+    return;
+
+  unsigned short hallNumber = view->currentIndex().row() + 1;
+
+  Core::SpaceGroups::fillUnitCell(*m_molecule, hallNumber, m_spgTol);
+  m_molecule->emitChanged(Molecule::Added | Molecule::Atoms);
+}
+
 void SpaceGroup::setTolerance()
 {
   bool ok;
diff --git a/avogadro/qtplugins/spacegroup/spacegroup.h b/avogadro/qtplugins/spacegroup/spacegroup.h
index d48d681b1..644b12e97 100644
--- a/avogadro/qtplugins/spacegroup/spacegroup.h
+++ b/avogadro/qtplugins/spacegroup/spacegroup.h
@@ -49,6 +49,7 @@ private slots:
   void reduceToPrimitive();
   void conventionalizeCell();
   void symmetrize();
+  void fillUnitCell();
   void setTolerance();
 
 private:
@@ -60,6 +61,7 @@ private slots:
   QAction *m_reduceToPrimitiveAction;
   QAction *m_conventionalizeCellAction;
   QAction *m_symmetrizeAction;
+  QAction *m_fillUnitCellAction;
   QAction *m_setToleranceAction;
 };
 
diff --git a/tests/core/CMakeLists.txt b/tests/core/CMakeLists.txt
index 7649b5f18..0351855f5 100644
--- a/tests/core/CMakeLists.txt
+++ b/tests/core/CMakeLists.txt
@@ -16,7 +16,7 @@ set(tests
   Molecule
   Mutex
   RingPerceiver
-  Spglib
+  Spacegroup
   Utilities
   UnitCell
   Variant
diff --git a/tests/core/spglibtest.cpp b/tests/core/spacegrouptest.cpp
similarity index 69%
rename from tests/core/spglibtest.cpp
rename to tests/core/spacegrouptest.cpp
index 2f40aeccb..801984215 100644
--- a/tests/core/spglibtest.cpp
+++ b/tests/core/spacegrouptest.cpp
@@ -30,7 +30,7 @@ using Avogadro::Core::Molecule;
 using Avogadro::Core::SpaceGroups;
 using Avogadro::Core::UnitCell;
 
-TEST(SpglibTest, getSpaceGroup)
+TEST(SpaceGroupTest, getSpaceGroup)
 {
   Molecule mol;
 
@@ -72,7 +72,7 @@ TEST(SpglibTest, getSpaceGroup)
 
 // We're going to take a conventional cell, reduce it to the primitive form,
 // and check our results
-TEST(SpglibTest, reduceToPrimitive)
+TEST(SpaceGroupTest, reduceToPrimitive)
 {
   // Let's build a primitive cell of corundum!
   Molecule primMol;
@@ -189,7 +189,7 @@ TEST(SpglibTest, reduceToPrimitive)
 
 // We're going to take a primitive cell, conventionalize it,
 // and check our results
-TEST(SpglibTest, conventionalizeCell)
+TEST(SpaceGroupTest, conventionalizeCell)
 {
   // Let's build a primitive cell of corundum!
   Molecule primMol;
@@ -303,3 +303,130 @@ TEST(SpglibTest, conventionalizeCell)
   // of a difference between them.
   ASSERT_FLOAT_EQ(convMol.unitCell()->volume(), primMol.unitCell()->volume());
 }
+
+TEST(SpaceGroupTest, fillUnitCell)
+{
+  double cartTol = 1e-5;
+
+  // MgSiO3 - post-perovskite. Space group: Cmcm. Found in the mantle of the earth.
+  // http://crystallography.net/cod/9009217.html
+  Molecule mol1;
+  Matrix3 mat1;
+  mat1.col(0) = Vector3(2.456, 0.000, 0.000); // A
+  mat1.col(1) = Vector3(0.000, 8.042, 0.000); // B
+  mat1.col(2) = Vector3(0.000, 0.000, 6.093); // C
+
+  UnitCell *uc1 = new UnitCell(mat1);
+  mol1.setUnitCell(uc1);
+
+  mol1.addAtom(12).setPosition3d(uc1->toCartesian(Vector3(0.000, 0.253,
+                                                          0.250)));
+  mol1.addAtom(14).setPosition3d(uc1->toCartesian(Vector3(0.000, 0.000,
+                                                          0.000)));
+  mol1.addAtom(8 ).setPosition3d(uc1->toCartesian(Vector3(0.000, 0.923,
+                                                          0.250)));
+  mol1.addAtom(8 ).setPosition3d(uc1->toCartesian(Vector3(0.000, 0.631,
+                                                          0.436)));
+
+  // Now, let's perform a fillUnitCell. hallNumber 298 is Cmcm
+  // International: 63
+  SpaceGroups::fillUnitCell(mol1, 298, cartTol);
+
+  // It should now have a hall number of 298
+  unsigned short hallNumber1 = AvoSpglib::getHallNumber(mol1, cartTol);
+  ASSERT_EQ(hallNumber1, 298);
+
+  // It should now have 20 atoms
+  ASSERT_EQ(mol1.atomCount(), 20);
+
+
+  // CaMg(CO3)2 - dolomite. Space group: hexagonal R -3. It is a brittle
+  // mineral found in limestones and other common places.
+  // http://crystallography.net/cod/1517795.html
+  Molecule mol2;
+  Matrix3 mat2;
+
+  mat2.col(0) = Vector3( 4.808, 0.00000,  0.000); // A
+  mat2.col(1) = Vector3(-2.404, 4.16385,  0.000); // B
+  mat2.col(2) = Vector3( 0.000, 0.00000, 16.022); // C
+
+  UnitCell *uc2 = new UnitCell(mat2);
+  mol2.setUnitCell(uc2);
+
+  mol2.addAtom(20).setPosition3d(uc2->toCartesian(Vector3(0.0000, 0.0000,
+                                                          0.0000)));
+  mol2.addAtom(12).setPosition3d(uc2->toCartesian(Vector3(0.0000, 0.0000,
+                                                          0.5000)));
+  mol2.addAtom(6 ).setPosition3d(uc2->toCartesian(Vector3(0.0000, 0.0000,
+                                                          0.24287)));
+  mol2.addAtom(8 ).setPosition3d(uc2->toCartesian(Vector3(0.24796, 0.9653,
+                                                          0.24402)));
+
+  // Now, let's perform a fillUnitCell. hallNumber 436 is hexagonal R -3
+  // International: 148
+  SpaceGroups::fillUnitCell(mol2, 436, cartTol);
+
+  // It should now have a hall number of 436
+  unsigned short hallNumber2 = AvoSpglib::getHallNumber(mol2, cartTol);
+  ASSERT_EQ(hallNumber2, 436);
+
+  // It should now have 30 atoms
+  ASSERT_EQ(mol2.atomCount(), 30);
+
+
+  // CaSiO3 - wollastonite. Space group: P -1. It is found in limestones
+  // and other common minerals. Used in ceramics, brakes, clutches,
+  // metalmaking, paint filler, and plastics.
+  // http://crystallography.net/cod/9005777.html
+  Molecule mol3;
+  Matrix3 mat3;
+
+  mat3.col(0) = Vector3( 7.92580, 0.00000, 0.00000); // A
+  mat3.col(1) = Vector3(-1.69967, 7.12014, 0.00000); // B
+  mat3.col(2) = Vector3(-0.64243,-0.16033, 7.03420); // C
+
+  UnitCell *uc3 = new UnitCell(mat3);
+  mol3.setUnitCell(uc3);
+
+  mol3.addAtom(20).setPosition3d(uc3->toCartesian(Vector3(0.198310, 0.42266,
+                                                          0.76060)));
+  mol3.addAtom(20).setPosition3d(uc3->toCartesian(Vector3(0.202410, 0.92919,
+                                                          0.76401)));
+  mol3.addAtom(20).setPosition3d(uc3->toCartesian(Vector3(0.503330, 0.75040,
+                                                          0.52691)));
+  mol3.addAtom(14).setPosition3d(uc3->toCartesian(Vector3(0.185100, 0.38750,
+                                                          0.26840)));
+  mol3.addAtom(14).setPosition3d(uc3->toCartesian(Vector3(0.184900, 0.95420,
+                                                          0.26910)));
+  mol3.addAtom(14).setPosition3d(uc3->toCartesian(Vector3(0.397300, 0.72360,
+                                                          0.05610)));
+  mol3.addAtom(8 ).setPosition3d(uc3->toCartesian(Vector3(0.303400, 0.46160,
+                                                          0.46280)));
+  mol3.addAtom(8 ).setPosition3d(uc3->toCartesian(Vector3(0.301400, 0.93850,
+                                                          0.46410)));
+  mol3.addAtom(8 ).setPosition3d(uc3->toCartesian(Vector3(0.570500, 0.76880,
+                                                          0.19880)));
+  mol3.addAtom(8 ).setPosition3d(uc3->toCartesian(Vector3(0.983200, 0.37390,
+                                                          0.26550)));
+  mol3.addAtom(8 ).setPosition3d(uc3->toCartesian(Vector3(0.981900, 0.86770,
+                                                          0.26480)));
+  mol3.addAtom(8 ).setPosition3d(uc3->toCartesian(Vector3(0.401800, 0.72660,
+                                                          0.82960)));
+  mol3.addAtom(8 ).setPosition3d(uc3->toCartesian(Vector3(0.218300, 0.17850,
+                                                          0.22540)));
+  mol3.addAtom(8 ).setPosition3d(uc3->toCartesian(Vector3(0.271300, 0.87040,
+                                                          0.09380)));
+  mol3.addAtom(8 ).setPosition3d(uc3->toCartesian(Vector3(0.273500, 0.51260,
+                                                          0.09310)));
+
+  // Now, let's perform a fillUnitCell. hallNumber 2 is hexagonal P -1
+  // International: 2
+  SpaceGroups::fillUnitCell(mol3, 2, cartTol);
+
+  // It should now have a hall number of 2
+  unsigned short hallNumber3 = AvoSpglib::getHallNumber(mol3, cartTol);
+  ASSERT_EQ(hallNumber3, 2);
+
+  // It should now have 30 atoms
+  ASSERT_EQ(mol3.atomCount(), 30);
+}