diff --git a/CMakeLists.txt b/CMakeLists.txt
index e487576d..7635656b 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -37,7 +37,7 @@ option(EbsdLib_BUILD_H5SUPPORT "Build H5Support Library" OFF)
 
 
 # set project's name
-project(EbsdLibProj VERSION 3.0.0)
+project(EbsdLibProj VERSION 3.1.0)
 
 
 # Request C++17 standard, using new CMake variables.
diff --git a/CMakePresets.json b/CMakePresets.json
index 33226c97..c2808407 100644
--- a/CMakePresets.json
+++ b/CMakePresets.json
@@ -158,6 +158,10 @@
         "generator": "Ninja",
         "inherits": "ci",
         "cacheVariables": {
+          "CMAKE_BUILD_TYPE": {
+            "type": "STRING",
+            "value": "Release"
+          },
           "VCPKG_TARGET_TRIPLET": {
             "type": "STRING",
             "value": "x64-linux-dynamic"
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new file mode 100644
index 00000000..e5eaa986
Binary files /dev/null and b/Data/IPF_Legend/Trigonal -3m (D3d)/{1-100}_pole_figure.png differ
diff --git a/Data/Pole_Figure_Validation/ReadMe.md b/Data/Pole_Figure_Validation/ReadMe.md
index d40d65e2..e607808c 100644
--- a/Data/Pole_Figure_Validation/ReadMe.md
+++ b/Data/Pole_Figure_Validation/ReadMe.md
@@ -37,9 +37,10 @@ unaffected by the ordering choice.
 | ---- | ---- |
 | `pole_figure_euler_data.dream3d`        | DREAM3D-NX HDF5 holding 12 EMsoftSO3-sampled orientation clouds (Cube, Goss, Brass, Copper, S, S1, S2, R, RC_rd1, RC_rd2, RC_nd1, RC_nd2). Currently informational — the C++ test uses ideal Bunge tuples baked into source, but this file is the canonical source the tuples are mirrored from. |
 | `pole_figure_data.d3dpipeline`          | The DREAM3D-NX pipeline JSON that produced the `.dream3d` file. Re-run via DREAM3D-NX if the orientation list needs to change. |
-| `mtex_pole_figure_positions.m`          | MATLAB script. Generates the golden CSV from MTEX. |
+| `mtex_pole_figure_positions.m`          | MATLAB script. Generates **both** golden CSVs from MTEX, one per hex/trig Cartesian convention (a single run writes both files). |
 | `run_mtex_pole_figure_positions.sh`     | zsh wrapper that launches MATLAB headlessly with MTEX initialized. |
-| `mtex_pole_figure_positions.csv`        | **The committed golden.** Loaded by `PoleFigurePositionTest` at test time and used as the comparison target. Regenerated by the MATLAB script above; the only reason to regenerate is if the canonical orientation list, Laue dispatch, or plane-family table changes. |
+| `mtex_pole_figure_positions.csv`        | **The committed `X\|\|a*` (MTEX/Oxford) golden.** Loaded by `PoleFigurePositionTest` at test time and always validated. Regenerated by the MATLAB script above; the only reason to regenerate is if the canonical orientation list, Laue dispatch, or plane-family table changes. |
+| `mtex_pole_figure_positions_xa.csv`     | **The committed `X\|\|a` (TSL/EDAX) golden** — the 3.1 public default convention. Loaded and validated by `PoleFigurePositionTest` *when present*; if absent the test skips the `X\|\|a` pass with a loud warning rather than failing. Produced by the same MATLAB run as the `X\|\|a*` golden. |
 | `compare_pf_positions.py`               | Standalone Python comparator. Diagnostic tool — not used by CI. Useful when investigating a regression because it prints the per-bucket worst-case pairs. The C++ test does the same comparison in-process, so day-to-day CI does not need this script. |
 | `ReadMe.md`                             | This file. |
 
@@ -92,8 +93,11 @@ orientations in `pole_figure_euler_data.dream3d`.
 `PoleFigurePositionTest` and `mtex_pole_figure_positions.m` must agree on
 this table to the character — it's the bucket-join key. EbsdLib's source
 of truth is `LaueOps::getDefaultPoleFigureNames()`; MTEX mirrors it in
-the script's `laue` struct. Hex/trig classes use the v3 `X||a*`
-convention.
+the script's `laue` struct. The family **labels are convention-independent**
+(brace notation, identical in both goldens); only the hex/trig pole
+**positions** differ between the `X||a*` and `X||a` goldens (a 30 deg basis
+rotation about c). Every non-hex/trig class produces identical rows in both
+files.
 
 | `rotation_point_group` | Laue class           | Family 0  | Family 1   | Family 2   |
 | ---------------------- | -------------------- | --------- | ---------- | ---------- |
@@ -160,12 +164,18 @@ between the EbsdLib points and the MTEX points (set sizes are ≤ 24, so
 brute force is fine), and reports the maximum matched distance. The C++
 test asserts every bucket's worst-case distance is below `1e-5`.
 
-## Regenerating the golden
+## Regenerating the goldens
 
-You only need to regenerate `mtex_pole_figure_positions.csv` if the
-canonical orientation list, the Laue dispatch, or the plane-family table
-changes — i.e. if the schema of what's being validated changes. Routine
-EbsdLib code changes do not need a golden regeneration.
+You only need to regenerate the goldens if the canonical orientation list,
+the Laue dispatch, or the plane-family table changes — i.e. if the schema of
+what's being validated changes. Routine EbsdLib code changes do not need a
+golden regeneration.
+
+A single MATLAB run writes **both** goldens (`mtex_pole_figure_positions.csv`
+for `X||a*` and `mtex_pole_figure_positions_xa.csv` for `X||a`). The `X||a`
+golden is required for `PoleFigurePositionTest` to actually validate the 3.1
+default convention — until it is committed, the test skips the `X||a` pass
+with a warning.
 
 To regenerate:
 
@@ -174,9 +184,9 @@ To regenerate:
 ```
 
 This launches MATLAB headlessly, runs `startup_mtex`, then runs
-`mtex_pole_figure_positions.m`, which writes
-`mtex_pole_figure_positions.csv` into this same directory. After
-regeneration, run the test:
+`mtex_pole_figure_positions.m`, which writes both
+`mtex_pole_figure_positions.csv` and `mtex_pole_figure_positions_xa.csv`
+into this same directory. After regeneration, run the test:
 
 ```bash
 ctest -R "EbsdLib::PoleFigurePositionTest" --verbose
diff --git a/Data/Pole_Figure_Validation/mtex_pole_figure_positions.csv b/Data/Pole_Figure_Validation/mtex_pole_figure_positions.csv
index e4a8ef7d..7260e027 100644
--- a/Data/Pole_Figure_Validation/mtex_pole_figure_positions.csv
+++ b/Data/Pole_Figure_Validation/mtex_pole_figure_positions.csv
@@ -1,1753 +1,1753 @@
 orient_id,orient_name,rotation_point_group,symmetry_name,plane_family,x,y
-0,Cube,432,Cubic_High m-3m,<001>,0.00000000,-1.00000000
-0,Cube,432,Cubic_High m-3m,<001>,0.00000000,-1.00000000
-0,Cube,432,Cubic_High m-3m,<001>,-0.00000000,-0.00000000
-0,Cube,432,Cubic_High m-3m,<001>,-0.00000000,-0.00000000
-0,Cube,432,Cubic_High m-3m,<001>,1.00000000,0.00000000
-0,Cube,432,Cubic_High m-3m,<001>,1.00000000,0.00000000
-0,Cube,432,Cubic_High m-3m,<011>,-0.41421356,-0.00000000
-0,Cube,432,Cubic_High m-3m,<011>,-0.41421356,-0.00000000
-0,Cube,432,Cubic_High m-3m,<011>,-0.00000000,-0.41421356
-0,Cube,432,Cubic_High m-3m,<011>,-0.00000000,-0.41421356
-0,Cube,432,Cubic_High m-3m,<011>,-0.00000000,0.41421356
-0,Cube,432,Cubic_High m-3m,<011>,-0.00000000,0.41421356
-0,Cube,432,Cubic_High m-3m,<011>,0.41421356,0.00000000
-0,Cube,432,Cubic_High m-3m,<011>,0.41421356,0.00000000
-0,Cube,432,Cubic_High m-3m,<011>,0.70710678,-0.70710678
-0,Cube,432,Cubic_High m-3m,<011>,0.70710678,-0.70710678
-0,Cube,432,Cubic_High m-3m,<011>,0.70710678,0.70710678
-0,Cube,432,Cubic_High m-3m,<011>,0.70710678,0.70710678
-0,Cube,432,Cubic_High m-3m,<111>,-0.36602540,-0.36602540
-0,Cube,432,Cubic_High m-3m,<111>,-0.36602540,-0.36602540
-0,Cube,432,Cubic_High m-3m,<111>,-0.36602540,0.36602540
-0,Cube,432,Cubic_High m-3m,<111>,-0.36602540,0.36602540
-0,Cube,432,Cubic_High m-3m,<111>,0.36602540,-0.36602540
-0,Cube,432,Cubic_High m-3m,<111>,0.36602540,-0.36602540
-0,Cube,432,Cubic_High m-3m,<111>,0.36602540,0.36602540
-0,Cube,432,Cubic_High m-3m,<111>,0.36602540,0.36602540
-0,Cube,23,Cubic_Low m-3,<001>,0.00000000,-1.00000000
-0,Cube,23,Cubic_Low m-3,<001>,0.00000000,-1.00000000
-0,Cube,23,Cubic_Low m-3,<001>,-0.00000000,-0.00000000
-0,Cube,23,Cubic_Low m-3,<001>,-0.00000000,-0.00000000
-0,Cube,23,Cubic_Low m-3,<001>,1.00000000,0.00000000
-0,Cube,23,Cubic_Low m-3,<001>,1.00000000,0.00000000
-0,Cube,23,Cubic_Low m-3,<011>,-0.41421356,-0.00000000
-0,Cube,23,Cubic_Low m-3,<011>,-0.41421356,-0.00000000
-0,Cube,23,Cubic_Low m-3,<011>,0.00000000,-0.41421356
-0,Cube,23,Cubic_Low m-3,<011>,0.00000000,-0.41421356
-0,Cube,23,Cubic_Low m-3,<011>,-0.00000000,0.41421356
-0,Cube,23,Cubic_Low m-3,<011>,-0.00000000,0.41421356
-0,Cube,23,Cubic_Low m-3,<011>,0.41421356,0.00000000
-0,Cube,23,Cubic_Low m-3,<011>,0.41421356,0.00000000
-0,Cube,23,Cubic_Low m-3,<011>,0.70710678,-0.70710678
-0,Cube,23,Cubic_Low m-3,<011>,0.70710678,-0.70710678
-0,Cube,23,Cubic_Low m-3,<011>,0.70710678,0.70710678
-0,Cube,23,Cubic_Low m-3,<011>,0.70710678,0.70710678
-0,Cube,23,Cubic_Low m-3,<111>,-0.36602540,-0.36602540
-0,Cube,23,Cubic_Low m-3,<111>,-0.36602540,-0.36602540
-0,Cube,23,Cubic_Low m-3,<111>,-0.36602540,0.36602540
-0,Cube,23,Cubic_Low m-3,<111>,-0.36602540,0.36602540
-0,Cube,23,Cubic_Low m-3,<111>,0.36602540,-0.36602540
-0,Cube,23,Cubic_Low m-3,<111>,0.36602540,-0.36602540
-0,Cube,23,Cubic_Low m-3,<111>,0.36602540,0.36602540
-0,Cube,23,Cubic_Low m-3,<111>,0.36602540,0.36602540
-0,Cube,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.00000000
-0,Cube,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.00000000
-0,Cube,622,Hexagonal_High 6/mmm,<10-10>,-1.00000000,-0.00000000
-0,Cube,622,Hexagonal_High 6/mmm,<10-10>,-0.50000000,-0.86602540
-0,Cube,622,Hexagonal_High 6/mmm,<10-10>,0.50000000,-0.86602540
-0,Cube,622,Hexagonal_High 6/mmm,<10-10>,0.50000000,-0.86602540
-0,Cube,622,Hexagonal_High 6/mmm,<10-10>,0.50000000,0.86602540
-0,Cube,622,Hexagonal_High 6/mmm,<10-10>,1.00000000,0.00000000
-0,Cube,622,Hexagonal_High 6/mmm,<11-20>,-0.86602540,-0.50000000
-0,Cube,622,Hexagonal_High 6/mmm,<11-20>,-0.86602540,0.50000000
-0,Cube,622,Hexagonal_High 6/mmm,<11-20>,0.00000000,-1.00000000
-0,Cube,622,Hexagonal_High 6/mmm,<11-20>,0.00000000,-1.00000000
-0,Cube,622,Hexagonal_High 6/mmm,<11-20>,0.86602540,-0.50000000
-0,Cube,622,Hexagonal_High 6/mmm,<11-20>,0.86602540,0.50000000
-0,Cube,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.00000000
-0,Cube,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.00000000
-0,Cube,6,Hexagonal_Low 6/m,<10-10>,-1.00000000,-0.00000000
-0,Cube,6,Hexagonal_Low 6/m,<10-10>,-0.50000000,-0.86602540
-0,Cube,6,Hexagonal_Low 6/m,<10-10>,-0.50000000,0.86602540
-0,Cube,6,Hexagonal_Low 6/m,<10-10>,0.50000000,-0.86602540
-0,Cube,6,Hexagonal_Low 6/m,<10-10>,0.50000000,0.86602540
-0,Cube,6,Hexagonal_Low 6/m,<10-10>,1.00000000,0.00000000
-0,Cube,6,Hexagonal_Low 6/m,<11-20>,-0.86602540,-0.50000000
-0,Cube,6,Hexagonal_Low 6/m,<11-20>,-0.86602540,0.50000000
-0,Cube,6,Hexagonal_Low 6/m,<11-20>,0.00000000,-1.00000000
-0,Cube,6,Hexagonal_Low 6/m,<11-20>,-0.00000000,1.00000000
-0,Cube,6,Hexagonal_Low 6/m,<11-20>,0.86602540,-0.50000000
-0,Cube,6,Hexagonal_Low 6/m,<11-20>,0.86602540,0.50000000
-0,Cube,32,Trigonal_High -3m,<0001>,-0.00000000,-0.00000000
-0,Cube,32,Trigonal_High -3m,<0001>,-0.00000000,-0.00000000
-0,Cube,32,Trigonal_High -3m,<0-110>,-1.00000000,-0.00000000
-0,Cube,32,Trigonal_High -3m,<0-110>,-0.50000000,-0.86602540
-0,Cube,32,Trigonal_High -3m,<0-110>,0.50000000,-0.86602540
-0,Cube,32,Trigonal_High -3m,<0-110>,0.50000000,-0.86602540
-0,Cube,32,Trigonal_High -3m,<0-110>,0.50000000,0.86602540
-0,Cube,32,Trigonal_High -3m,<0-110>,1.00000000,0.00000000
-0,Cube,32,Trigonal_High -3m,<1-100>,-0.50000000,-0.86602540
-0,Cube,32,Trigonal_High -3m,<1-100>,-0.50000000,0.86602540
-0,Cube,32,Trigonal_High -3m,<1-100>,0.50000000,-0.86602540
-0,Cube,32,Trigonal_High -3m,<1-100>,0.50000000,0.86602540
-0,Cube,32,Trigonal_High -3m,<1-100>,1.00000000,0.00000000
-0,Cube,32,Trigonal_High -3m,<1-100>,1.00000000,0.00000000
-0,Cube,3,Trigonal_Low -3,<0001>,-0.00000000,-0.00000000
-0,Cube,3,Trigonal_Low -3,<0001>,-0.00000000,-0.00000000
-0,Cube,3,Trigonal_Low -3,<-1-120>,-0.86602540,-0.50000000
-0,Cube,3,Trigonal_Low -3,<-1-120>,-0.86602540,0.50000000
-0,Cube,3,Trigonal_Low -3,<-1-120>,0.00000000,-1.00000000
-0,Cube,3,Trigonal_Low -3,<-1-120>,-0.00000000,1.00000000
-0,Cube,3,Trigonal_Low -3,<-1-120>,0.86602540,-0.50000000
-0,Cube,3,Trigonal_Low -3,<-1-120>,0.86602540,0.50000000
-0,Cube,3,Trigonal_Low -3,<2-1-10>,-0.86602540,-0.50000000
-0,Cube,3,Trigonal_Low -3,<2-1-10>,-0.86602540,0.50000000
-0,Cube,3,Trigonal_Low -3,<2-1-10>,0.00000000,-1.00000000
-0,Cube,3,Trigonal_Low -3,<2-1-10>,-0.00000000,1.00000000
-0,Cube,3,Trigonal_Low -3,<2-1-10>,0.86602540,-0.50000000
-0,Cube,3,Trigonal_Low -3,<2-1-10>,0.86602540,0.50000000
-0,Cube,422,Tetragonal_High 4/mmm,<001>,-0.00000000,-0.00000000
-0,Cube,422,Tetragonal_High 4/mmm,<001>,-0.00000000,-0.00000000
-0,Cube,422,Tetragonal_High 4/mmm,<100>,-1.00000000,-0.00000000
-0,Cube,422,Tetragonal_High 4/mmm,<100>,0.00000000,-1.00000000
-0,Cube,422,Tetragonal_High 4/mmm,<100>,-0.00000000,1.00000000
-0,Cube,422,Tetragonal_High 4/mmm,<100>,1.00000000,0.00000000
-0,Cube,422,Tetragonal_High 4/mmm,<110>,-0.70710678,-0.70710678
-0,Cube,422,Tetragonal_High 4/mmm,<110>,0.70710678,-0.70710678
-0,Cube,422,Tetragonal_High 4/mmm,<110>,0.70710678,-0.70710678
-0,Cube,422,Tetragonal_High 4/mmm,<110>,0.70710678,0.70710678
-0,Cube,4,Tetragonal_Low 4/m,<001>,-0.00000000,-0.00000000
-0,Cube,4,Tetragonal_Low 4/m,<001>,-0.00000000,-0.00000000
-0,Cube,4,Tetragonal_Low 4/m,<100>,-1.00000000,-0.00000000
-0,Cube,4,Tetragonal_Low 4/m,<100>,0.00000000,-1.00000000
-0,Cube,4,Tetragonal_Low 4/m,<100>,-0.00000000,1.00000000
-0,Cube,4,Tetragonal_Low 4/m,<100>,1.00000000,0.00000000
-0,Cube,4,Tetragonal_Low 4/m,<110>,-0.70710678,-0.70710678
-0,Cube,4,Tetragonal_Low 4/m,<110>,-0.70710678,0.70710678
-0,Cube,4,Tetragonal_Low 4/m,<110>,0.70710678,-0.70710678
-0,Cube,4,Tetragonal_Low 4/m,<110>,0.70710678,0.70710678
-0,Cube,222,OrthoRhombic mmm,<001>,-0.00000000,-0.00000000
-0,Cube,222,OrthoRhombic mmm,<001>,-0.00000000,-0.00000000
-0,Cube,222,OrthoRhombic mmm,<100>,-1.00000000,-0.00000000
-0,Cube,222,OrthoRhombic mmm,<100>,1.00000000,0.00000000
-0,Cube,222,OrthoRhombic mmm,<010>,0.00000000,-1.00000000
-0,Cube,222,OrthoRhombic mmm,<010>,-0.00000000,1.00000000
-0,Cube,2,Monoclinic 2/m,<001>,-0.00000000,-0.00000000
-0,Cube,2,Monoclinic 2/m,<001>,-0.00000000,-0.00000000
-0,Cube,2,Monoclinic 2/m,<100>,-1.00000000,-0.00000000
-0,Cube,2,Monoclinic 2/m,<100>,1.00000000,0.00000000
-0,Cube,2,Monoclinic 2/m,<010>,0.00000000,-1.00000000
-0,Cube,2,Monoclinic 2/m,<010>,-0.00000000,1.00000000
-0,Cube,1,Triclinic -1,<001>,-0.00000000,-0.00000000
-0,Cube,1,Triclinic -1,<001>,-0.00000000,-0.00000000
-0,Cube,1,Triclinic -1,<100>,-1.00000000,-0.00000000
-0,Cube,1,Triclinic -1,<100>,1.00000000,0.00000000
-0,Cube,1,Triclinic -1,<010>,0.00000000,-1.00000000
-0,Cube,1,Triclinic -1,<010>,-0.00000000,1.00000000
-1,Goss,432,Cubic_High m-3m,<001>,0.00000000,-0.41421356
-1,Goss,432,Cubic_High m-3m,<001>,0.00000000,-0.41421356
-1,Goss,432,Cubic_High m-3m,<001>,-0.00000000,0.41421356
-1,Goss,432,Cubic_High m-3m,<001>,-0.00000000,0.41421356
-1,Goss,432,Cubic_High m-3m,<001>,1.00000000,0.00000000
-1,Goss,432,Cubic_High m-3m,<001>,1.00000000,0.00000000
-1,Goss,432,Cubic_High m-3m,<011>,-0.47140452,-0.33333333
-1,Goss,432,Cubic_High m-3m,<011>,-0.47140452,-0.33333333
-1,Goss,432,Cubic_High m-3m,<011>,-0.47140452,0.33333333
-1,Goss,432,Cubic_High m-3m,<011>,-0.47140452,0.33333333
-1,Goss,432,Cubic_High m-3m,<011>,-0.00000000,-1.00000000
-1,Goss,432,Cubic_High m-3m,<011>,-0.00000000,-1.00000000
-1,Goss,432,Cubic_High m-3m,<011>,-0.00000000,-0.00000000
-1,Goss,432,Cubic_High m-3m,<011>,-0.00000000,-0.00000000
-1,Goss,432,Cubic_High m-3m,<011>,0.47140452,-0.33333333
-1,Goss,432,Cubic_High m-3m,<011>,0.47140452,-0.33333333
-1,Goss,432,Cubic_High m-3m,<011>,0.47140452,0.33333333
-1,Goss,432,Cubic_High m-3m,<011>,0.47140452,0.33333333
-1,Goss,432,Cubic_High m-3m,<111>,-0.31783725,0.00000000
-1,Goss,432,Cubic_High m-3m,<111>,-0.31783725,0.00000000
-1,Goss,432,Cubic_High m-3m,<111>,0.31783725,0.00000000
-1,Goss,432,Cubic_High m-3m,<111>,0.31783725,0.00000000
-1,Goss,432,Cubic_High m-3m,<111>,0.57735027,-0.81649658
-1,Goss,432,Cubic_High m-3m,<111>,0.57735027,-0.81649658
-1,Goss,432,Cubic_High m-3m,<111>,0.57735027,0.81649658
-1,Goss,432,Cubic_High m-3m,<111>,0.57735027,0.81649658
-1,Goss,23,Cubic_Low m-3,<001>,0.00000000,-0.41421356
-1,Goss,23,Cubic_Low m-3,<001>,0.00000000,-0.41421356
-1,Goss,23,Cubic_Low m-3,<001>,-0.00000000,0.41421356
-1,Goss,23,Cubic_Low m-3,<001>,-0.00000000,0.41421356
-1,Goss,23,Cubic_Low m-3,<001>,1.00000000,0.00000000
-1,Goss,23,Cubic_Low m-3,<001>,1.00000000,0.00000000
-1,Goss,23,Cubic_Low m-3,<011>,-0.47140452,-0.33333333
-1,Goss,23,Cubic_Low m-3,<011>,-0.47140452,-0.33333333
-1,Goss,23,Cubic_Low m-3,<011>,-0.47140452,0.33333333
-1,Goss,23,Cubic_Low m-3,<011>,-0.47140452,0.33333333
-1,Goss,23,Cubic_Low m-3,<011>,0.00000000,-1.00000000
-1,Goss,23,Cubic_Low m-3,<011>,0.00000000,-1.00000000
-1,Goss,23,Cubic_Low m-3,<011>,-0.00000000,-0.00000000
-1,Goss,23,Cubic_Low m-3,<011>,-0.00000000,-0.00000000
-1,Goss,23,Cubic_Low m-3,<011>,0.47140452,-0.33333333
-1,Goss,23,Cubic_Low m-3,<011>,0.47140452,-0.33333333
-1,Goss,23,Cubic_Low m-3,<011>,0.47140452,0.33333333
-1,Goss,23,Cubic_Low m-3,<011>,0.47140452,0.33333333
-1,Goss,23,Cubic_Low m-3,<111>,-0.57735027,-0.81649658
-1,Goss,23,Cubic_Low m-3,<111>,-0.57735027,-0.81649658
-1,Goss,23,Cubic_Low m-3,<111>,-0.31783725,-0.00000000
-1,Goss,23,Cubic_Low m-3,<111>,-0.31783725,-0.00000000
-1,Goss,23,Cubic_Low m-3,<111>,0.31783725,0.00000000
-1,Goss,23,Cubic_Low m-3,<111>,0.31783725,0.00000000
-1,Goss,23,Cubic_Low m-3,<111>,0.57735027,-0.81649658
-1,Goss,23,Cubic_Low m-3,<111>,0.57735027,-0.81649658
-1,Goss,622,Hexagonal_High 6/mmm,<0001>,0.00000000,-0.41421356
-1,Goss,622,Hexagonal_High 6/mmm,<0001>,0.00000000,-0.41421356
-1,Goss,622,Hexagonal_High 6/mmm,<10-10>,-0.31010205,0.37979590
-1,Goss,622,Hexagonal_High 6/mmm,<10-10>,-0.31010205,0.37979590
-1,Goss,622,Hexagonal_High 6/mmm,<10-10>,0.31010205,0.37979590
-1,Goss,622,Hexagonal_High 6/mmm,<10-10>,0.31010205,0.37979590
-1,Goss,622,Hexagonal_High 6/mmm,<10-10>,1.00000000,0.00000000
-1,Goss,622,Hexagonal_High 6/mmm,<10-10>,1.00000000,0.00000000
-1,Goss,622,Hexagonal_High 6/mmm,<11-20>,-0.63981621,0.26120387
-1,Goss,622,Hexagonal_High 6/mmm,<11-20>,-0.63981621,0.26120387
-1,Goss,622,Hexagonal_High 6/mmm,<11-20>,-0.00000000,0.41421356
-1,Goss,622,Hexagonal_High 6/mmm,<11-20>,-0.00000000,0.41421356
-1,Goss,622,Hexagonal_High 6/mmm,<11-20>,0.63981621,0.26120387
-1,Goss,622,Hexagonal_High 6/mmm,<11-20>,0.63981621,0.26120387
-1,Goss,6,Hexagonal_Low 6/m,<0001>,0.00000000,-0.41421356
-1,Goss,6,Hexagonal_Low 6/m,<0001>,0.00000000,-0.41421356
-1,Goss,6,Hexagonal_Low 6/m,<10-10>,-0.31010205,0.37979590
-1,Goss,6,Hexagonal_Low 6/m,<10-10>,-0.31010205,0.37979590
-1,Goss,6,Hexagonal_Low 6/m,<10-10>,0.31010205,0.37979590
-1,Goss,6,Hexagonal_Low 6/m,<10-10>,0.31010205,0.37979590
-1,Goss,6,Hexagonal_Low 6/m,<10-10>,1.00000000,0.00000000
-1,Goss,6,Hexagonal_Low 6/m,<10-10>,1.00000000,0.00000000
-1,Goss,6,Hexagonal_Low 6/m,<11-20>,-0.63981621,0.26120387
-1,Goss,6,Hexagonal_Low 6/m,<11-20>,-0.63981621,0.26120387
-1,Goss,6,Hexagonal_Low 6/m,<11-20>,-0.00000000,0.41421356
-1,Goss,6,Hexagonal_Low 6/m,<11-20>,-0.00000000,0.41421356
-1,Goss,6,Hexagonal_Low 6/m,<11-20>,0.63981621,0.26120387
-1,Goss,6,Hexagonal_Low 6/m,<11-20>,0.63981621,0.26120387
-1,Goss,32,Trigonal_High -3m,<0001>,0.00000000,-0.41421356
-1,Goss,32,Trigonal_High -3m,<0001>,0.00000000,-0.41421356
-1,Goss,32,Trigonal_High -3m,<0-110>,-0.31010205,0.37979590
-1,Goss,32,Trigonal_High -3m,<0-110>,-0.31010205,0.37979590
-1,Goss,32,Trigonal_High -3m,<0-110>,0.31010205,0.37979590
-1,Goss,32,Trigonal_High -3m,<0-110>,0.31010205,0.37979590
-1,Goss,32,Trigonal_High -3m,<0-110>,1.00000000,0.00000000
-1,Goss,32,Trigonal_High -3m,<0-110>,1.00000000,0.00000000
-1,Goss,32,Trigonal_High -3m,<1-100>,-0.31010205,0.37979590
-1,Goss,32,Trigonal_High -3m,<1-100>,-0.31010205,0.37979590
-1,Goss,32,Trigonal_High -3m,<1-100>,0.31010205,0.37979590
-1,Goss,32,Trigonal_High -3m,<1-100>,0.31010205,0.37979590
-1,Goss,32,Trigonal_High -3m,<1-100>,1.00000000,0.00000000
-1,Goss,32,Trigonal_High -3m,<1-100>,1.00000000,0.00000000
-1,Goss,3,Trigonal_Low -3,<0001>,0.00000000,-0.41421356
-1,Goss,3,Trigonal_Low -3,<0001>,0.00000000,-0.41421356
-1,Goss,3,Trigonal_Low -3,<-1-120>,-0.63981621,0.26120387
-1,Goss,3,Trigonal_Low -3,<-1-120>,-0.63981621,0.26120387
-1,Goss,3,Trigonal_Low -3,<-1-120>,-0.00000000,0.41421356
-1,Goss,3,Trigonal_Low -3,<-1-120>,-0.00000000,0.41421356
-1,Goss,3,Trigonal_Low -3,<-1-120>,0.63981621,0.26120387
-1,Goss,3,Trigonal_Low -3,<-1-120>,0.63981621,0.26120387
-1,Goss,3,Trigonal_Low -3,<2-1-10>,-0.63981621,0.26120387
-1,Goss,3,Trigonal_Low -3,<2-1-10>,-0.63981621,0.26120387
-1,Goss,3,Trigonal_Low -3,<2-1-10>,-0.00000000,0.41421356
-1,Goss,3,Trigonal_Low -3,<2-1-10>,-0.00000000,0.41421356
-1,Goss,3,Trigonal_Low -3,<2-1-10>,0.63981621,0.26120387
-1,Goss,3,Trigonal_Low -3,<2-1-10>,0.63981621,0.26120387
-1,Goss,422,Tetragonal_High 4/mmm,<001>,0.00000000,-0.41421356
-1,Goss,422,Tetragonal_High 4/mmm,<001>,0.00000000,-0.41421356
-1,Goss,422,Tetragonal_High 4/mmm,<100>,-0.00000000,0.41421356
-1,Goss,422,Tetragonal_High 4/mmm,<100>,-0.00000000,0.41421356
-1,Goss,422,Tetragonal_High 4/mmm,<100>,1.00000000,0.00000000
-1,Goss,422,Tetragonal_High 4/mmm,<100>,1.00000000,0.00000000
-1,Goss,422,Tetragonal_High 4/mmm,<110>,-0.47140452,0.33333333
-1,Goss,422,Tetragonal_High 4/mmm,<110>,-0.47140452,0.33333333
-1,Goss,422,Tetragonal_High 4/mmm,<110>,0.47140452,0.33333333
-1,Goss,422,Tetragonal_High 4/mmm,<110>,0.47140452,0.33333333
-1,Goss,4,Tetragonal_Low 4/m,<001>,0.00000000,-0.41421356
-1,Goss,4,Tetragonal_Low 4/m,<001>,0.00000000,-0.41421356
-1,Goss,4,Tetragonal_Low 4/m,<100>,-0.00000000,0.41421356
-1,Goss,4,Tetragonal_Low 4/m,<100>,-0.00000000,0.41421356
-1,Goss,4,Tetragonal_Low 4/m,<100>,1.00000000,0.00000000
-1,Goss,4,Tetragonal_Low 4/m,<100>,1.00000000,0.00000000
-1,Goss,4,Tetragonal_Low 4/m,<110>,-0.47140452,0.33333333
-1,Goss,4,Tetragonal_Low 4/m,<110>,-0.47140452,0.33333333
-1,Goss,4,Tetragonal_Low 4/m,<110>,0.47140452,0.33333333
-1,Goss,4,Tetragonal_Low 4/m,<110>,0.47140452,0.33333333
-1,Goss,222,OrthoRhombic mmm,<001>,0.00000000,-0.41421356
-1,Goss,222,OrthoRhombic mmm,<001>,0.00000000,-0.41421356
-1,Goss,222,OrthoRhombic mmm,<100>,1.00000000,0.00000000
-1,Goss,222,OrthoRhombic mmm,<100>,1.00000000,0.00000000
-1,Goss,222,OrthoRhombic mmm,<010>,-0.00000000,0.41421356
-1,Goss,222,OrthoRhombic mmm,<010>,-0.00000000,0.41421356
-1,Goss,2,Monoclinic 2/m,<001>,0.00000000,-0.41421356
-1,Goss,2,Monoclinic 2/m,<001>,0.00000000,-0.41421356
-1,Goss,2,Monoclinic 2/m,<100>,1.00000000,0.00000000
-1,Goss,2,Monoclinic 2/m,<100>,1.00000000,0.00000000
-1,Goss,2,Monoclinic 2/m,<010>,-0.00000000,0.41421356
-1,Goss,2,Monoclinic 2/m,<010>,-0.00000000,0.41421356
-1,Goss,1,Triclinic -1,<001>,0.00000000,-0.41421356
-1,Goss,1,Triclinic -1,<001>,0.00000000,-0.41421356
-1,Goss,1,Triclinic -1,<100>,1.00000000,0.00000000
-1,Goss,1,Triclinic -1,<100>,1.00000000,0.00000000
-1,Goss,1,Triclinic -1,<010>,-0.00000000,0.41421356
-1,Goss,1,Triclinic -1,<010>,-0.00000000,0.41421356
-2,Brass,432,Cubic_High m-3m,<001>,-0.23758314,0.33930389
-2,Brass,432,Cubic_High m-3m,<001>,-0.23758314,0.33930389
-2,Brass,432,Cubic_High m-3m,<001>,0.23758314,-0.33930389
-2,Brass,432,Cubic_High m-3m,<001>,0.23758314,-0.33930389
-2,Brass,432,Cubic_High m-3m,<001>,0.81915204,0.57357644
-2,Brass,432,Cubic_High m-3m,<001>,0.81915204,0.57357644
-2,Brass,432,Cubic_High m-3m,<011>,-0.57734412,0.00266416
-2,Brass,432,Cubic_High m-3m,<011>,-0.57734412,0.00266416
-2,Brass,432,Cubic_High m-3m,<011>,-0.57357644,0.81915204
-2,Brass,432,Cubic_High m-3m,<011>,-0.19495983,-0.54343721
-2,Brass,432,Cubic_High m-3m,<011>,-0.19495983,-0.54343721
-2,Brass,432,Cubic_High m-3m,<011>,-0.00000000,-0.00000000
-2,Brass,432,Cubic_High m-3m,<011>,-0.00000000,-0.00000000
-2,Brass,432,Cubic_High m-3m,<011>,0.19495983,0.54343721
-2,Brass,432,Cubic_High m-3m,<011>,0.19495983,0.54343721
-2,Brass,432,Cubic_High m-3m,<011>,0.57357644,-0.81915204
-2,Brass,432,Cubic_High m-3m,<011>,0.57734412,-0.00266416
-2,Brass,432,Cubic_High m-3m,<011>,0.57734412,-0.00266416
-2,Brass,432,Cubic_High m-3m,<111>,-0.26035703,-0.18230395
-2,Brass,432,Cubic_High m-3m,<111>,-0.26035703,-0.18230395
-2,Brass,432,Cubic_High m-3m,<111>,0.00461445,0.99998935
-2,Brass,432,Cubic_High m-3m,<111>,0.00461445,0.99998935
-2,Brass,432,Cubic_High m-3m,<111>,0.26035703,0.18230395
-2,Brass,432,Cubic_High m-3m,<111>,0.26035703,0.18230395
-2,Brass,432,Cubic_High m-3m,<111>,0.94126085,-0.33768033
-2,Brass,432,Cubic_High m-3m,<111>,0.94126085,-0.33768033
-2,Brass,23,Cubic_Low m-3,<001>,-0.23758314,0.33930389
-2,Brass,23,Cubic_Low m-3,<001>,-0.23758314,0.33930389
-2,Brass,23,Cubic_Low m-3,<001>,0.23758314,-0.33930389
-2,Brass,23,Cubic_Low m-3,<001>,0.23758314,-0.33930389
-2,Brass,23,Cubic_Low m-3,<001>,0.81915204,0.57357644
-2,Brass,23,Cubic_Low m-3,<001>,0.81915204,0.57357644
-2,Brass,23,Cubic_Low m-3,<011>,-0.57734412,0.00266416
-2,Brass,23,Cubic_Low m-3,<011>,-0.57734412,0.00266416
-2,Brass,23,Cubic_Low m-3,<011>,-0.57357644,0.81915204
-2,Brass,23,Cubic_Low m-3,<011>,-0.57357644,0.81915204
-2,Brass,23,Cubic_Low m-3,<011>,-0.19495983,-0.54343721
-2,Brass,23,Cubic_Low m-3,<011>,-0.19495983,-0.54343721
-2,Brass,23,Cubic_Low m-3,<011>,-0.00000000,-0.00000000
-2,Brass,23,Cubic_Low m-3,<011>,-0.00000000,-0.00000000
-2,Brass,23,Cubic_Low m-3,<011>,0.19495983,0.54343721
-2,Brass,23,Cubic_Low m-3,<011>,0.19495983,0.54343721
-2,Brass,23,Cubic_Low m-3,<011>,0.57734412,-0.00266416
-2,Brass,23,Cubic_Low m-3,<011>,0.57734412,-0.00266416
-2,Brass,23,Cubic_Low m-3,<111>,-0.94126085,0.33768033
-2,Brass,23,Cubic_Low m-3,<111>,-0.94126085,0.33768033
-2,Brass,23,Cubic_Low m-3,<111>,-0.26035703,-0.18230395
-2,Brass,23,Cubic_Low m-3,<111>,-0.26035703,-0.18230395
-2,Brass,23,Cubic_Low m-3,<111>,0.00461445,0.99998935
-2,Brass,23,Cubic_Low m-3,<111>,0.00461445,0.99998935
-2,Brass,23,Cubic_Low m-3,<111>,0.26035703,0.18230395
-2,Brass,23,Cubic_Low m-3,<111>,0.26035703,0.18230395
-2,Brass,622,Hexagonal_High 6/mmm,<0001>,0.23758314,-0.33930389
-2,Brass,622,Hexagonal_High 6/mmm,<0001>,0.23758314,-0.33930389
-2,Brass,622,Hexagonal_High 6/mmm,<10-10>,-0.47186271,0.13324336
-2,Brass,622,Hexagonal_High 6/mmm,<10-10>,-0.47186271,0.13324336
-2,Brass,622,Hexagonal_High 6/mmm,<10-10>,0.03617875,0.48897782
-2,Brass,622,Hexagonal_High 6/mmm,<10-10>,0.03617875,0.48897782
-2,Brass,622,Hexagonal_High 6/mmm,<10-10>,0.81915204,0.57357644
-2,Brass,622,Hexagonal_High 6/mmm,<10-10>,0.81915204,0.57357644
-2,Brass,622,Hexagonal_High 6/mmm,<11-20>,-0.67392715,-0.15301781
-2,Brass,622,Hexagonal_High 6/mmm,<11-20>,-0.67392715,-0.15301781
-2,Brass,622,Hexagonal_High 6/mmm,<11-20>,-0.23758314,0.33930389
-2,Brass,622,Hexagonal_High 6/mmm,<11-20>,-0.23758314,0.33930389
-2,Brass,622,Hexagonal_High 6/mmm,<11-20>,0.37428637,0.58094919
-2,Brass,622,Hexagonal_High 6/mmm,<11-20>,0.37428637,0.58094919
-2,Brass,6,Hexagonal_Low 6/m,<0001>,0.23758314,-0.33930389
-2,Brass,6,Hexagonal_Low 6/m,<0001>,0.23758314,-0.33930389
-2,Brass,6,Hexagonal_Low 6/m,<10-10>,-0.47186271,0.13324336
-2,Brass,6,Hexagonal_Low 6/m,<10-10>,-0.47186271,0.13324336
-2,Brass,6,Hexagonal_Low 6/m,<10-10>,0.03617875,0.48897782
-2,Brass,6,Hexagonal_Low 6/m,<10-10>,0.03617875,0.48897782
-2,Brass,6,Hexagonal_Low 6/m,<10-10>,0.81915204,0.57357644
-2,Brass,6,Hexagonal_Low 6/m,<10-10>,0.81915204,0.57357644
-2,Brass,6,Hexagonal_Low 6/m,<11-20>,-0.67392715,-0.15301781
-2,Brass,6,Hexagonal_Low 6/m,<11-20>,-0.67392715,-0.15301781
-2,Brass,6,Hexagonal_Low 6/m,<11-20>,-0.23758314,0.33930389
-2,Brass,6,Hexagonal_Low 6/m,<11-20>,-0.23758314,0.33930389
-2,Brass,6,Hexagonal_Low 6/m,<11-20>,0.37428637,0.58094919
-2,Brass,6,Hexagonal_Low 6/m,<11-20>,0.37428637,0.58094919
-2,Brass,32,Trigonal_High -3m,<0001>,0.23758314,-0.33930389
-2,Brass,32,Trigonal_High -3m,<0001>,0.23758314,-0.33930389
-2,Brass,32,Trigonal_High -3m,<0-110>,-0.47186271,0.13324336
-2,Brass,32,Trigonal_High -3m,<0-110>,-0.47186271,0.13324336
-2,Brass,32,Trigonal_High -3m,<0-110>,0.03617875,0.48897782
-2,Brass,32,Trigonal_High -3m,<0-110>,0.03617875,0.48897782
-2,Brass,32,Trigonal_High -3m,<0-110>,0.81915204,0.57357644
-2,Brass,32,Trigonal_High -3m,<0-110>,0.81915204,0.57357644
-2,Brass,32,Trigonal_High -3m,<1-100>,-0.47186271,0.13324336
-2,Brass,32,Trigonal_High -3m,<1-100>,-0.47186271,0.13324336
-2,Brass,32,Trigonal_High -3m,<1-100>,0.03617875,0.48897782
-2,Brass,32,Trigonal_High -3m,<1-100>,0.03617875,0.48897782
-2,Brass,32,Trigonal_High -3m,<1-100>,0.81915204,0.57357644
-2,Brass,32,Trigonal_High -3m,<1-100>,0.81915204,0.57357644
-2,Brass,3,Trigonal_Low -3,<0001>,0.23758314,-0.33930389
-2,Brass,3,Trigonal_Low -3,<0001>,0.23758314,-0.33930389
-2,Brass,3,Trigonal_Low -3,<-1-120>,-0.67392715,-0.15301781
-2,Brass,3,Trigonal_Low -3,<-1-120>,-0.67392715,-0.15301781
-2,Brass,3,Trigonal_Low -3,<-1-120>,-0.23758314,0.33930389
-2,Brass,3,Trigonal_Low -3,<-1-120>,-0.23758314,0.33930389
-2,Brass,3,Trigonal_Low -3,<-1-120>,0.37428637,0.58094919
-2,Brass,3,Trigonal_Low -3,<-1-120>,0.37428637,0.58094919
-2,Brass,3,Trigonal_Low -3,<2-1-10>,-0.67392715,-0.15301781
-2,Brass,3,Trigonal_Low -3,<2-1-10>,-0.67392715,-0.15301781
-2,Brass,3,Trigonal_Low -3,<2-1-10>,-0.23758314,0.33930389
-2,Brass,3,Trigonal_Low -3,<2-1-10>,-0.23758314,0.33930389
-2,Brass,3,Trigonal_Low -3,<2-1-10>,0.37428637,0.58094919
-2,Brass,3,Trigonal_Low -3,<2-1-10>,0.37428637,0.58094919
-2,Brass,422,Tetragonal_High 4/mmm,<001>,0.23758314,-0.33930389
-2,Brass,422,Tetragonal_High 4/mmm,<001>,0.23758314,-0.33930389
-2,Brass,422,Tetragonal_High 4/mmm,<100>,-0.23758314,0.33930389
-2,Brass,422,Tetragonal_High 4/mmm,<100>,-0.23758314,0.33930389
-2,Brass,422,Tetragonal_High 4/mmm,<100>,0.81915204,0.57357644
-2,Brass,422,Tetragonal_High 4/mmm,<100>,0.81915204,0.57357644
-2,Brass,422,Tetragonal_High 4/mmm,<110>,-0.57734412,0.00266416
-2,Brass,422,Tetragonal_High 4/mmm,<110>,-0.57734412,0.00266416
-2,Brass,422,Tetragonal_High 4/mmm,<110>,0.19495983,0.54343721
-2,Brass,422,Tetragonal_High 4/mmm,<110>,0.19495983,0.54343721
-2,Brass,4,Tetragonal_Low 4/m,<001>,0.23758314,-0.33930389
-2,Brass,4,Tetragonal_Low 4/m,<001>,0.23758314,-0.33930389
-2,Brass,4,Tetragonal_Low 4/m,<100>,-0.23758314,0.33930389
-2,Brass,4,Tetragonal_Low 4/m,<100>,-0.23758314,0.33930389
-2,Brass,4,Tetragonal_Low 4/m,<100>,0.81915204,0.57357644
-2,Brass,4,Tetragonal_Low 4/m,<100>,0.81915204,0.57357644
-2,Brass,4,Tetragonal_Low 4/m,<110>,-0.57734412,0.00266416
-2,Brass,4,Tetragonal_Low 4/m,<110>,-0.57734412,0.00266416
-2,Brass,4,Tetragonal_Low 4/m,<110>,0.19495983,0.54343721
-2,Brass,4,Tetragonal_Low 4/m,<110>,0.19495983,0.54343721
-2,Brass,222,OrthoRhombic mmm,<001>,0.23758314,-0.33930389
-2,Brass,222,OrthoRhombic mmm,<001>,0.23758314,-0.33930389
-2,Brass,222,OrthoRhombic mmm,<100>,0.81915204,0.57357644
-2,Brass,222,OrthoRhombic mmm,<100>,0.81915204,0.57357644
-2,Brass,222,OrthoRhombic mmm,<010>,-0.23758314,0.33930389
-2,Brass,222,OrthoRhombic mmm,<010>,-0.23758314,0.33930389
-2,Brass,2,Monoclinic 2/m,<001>,0.23758314,-0.33930389
-2,Brass,2,Monoclinic 2/m,<001>,0.23758314,-0.33930389
-2,Brass,2,Monoclinic 2/m,<100>,0.81915204,0.57357644
-2,Brass,2,Monoclinic 2/m,<100>,0.81915204,0.57357644
-2,Brass,2,Monoclinic 2/m,<010>,-0.23758314,0.33930389
-2,Brass,2,Monoclinic 2/m,<010>,-0.23758314,0.33930389
-2,Brass,1,Triclinic -1,<001>,0.23758314,-0.33930389
-2,Brass,1,Triclinic -1,<001>,0.23758314,-0.33930389
-2,Brass,1,Triclinic -1,<100>,0.81915204,0.57357644
-2,Brass,1,Triclinic -1,<100>,0.81915204,0.57357644
-2,Brass,1,Triclinic -1,<010>,-0.23758314,0.33930389
-2,Brass,1,Triclinic -1,<010>,-0.23758314,0.33930389
-3,Copper,432,Cubic_High m-3m,<001>,-0.41209184,-0.50307125
-3,Copper,432,Cubic_High m-3m,<001>,-0.41209184,-0.50307125
-3,Copper,432,Cubic_High m-3m,<001>,-0.41209184,0.50307125
-3,Copper,432,Cubic_High m-3m,<001>,-0.41209184,0.50307125
-3,Copper,432,Cubic_High m-3m,<001>,0.31529879,0.00000000
-3,Copper,432,Cubic_High m-3m,<001>,0.31529879,0.00000000
-3,Copper,432,Cubic_High m-3m,<011>,-0.52056705,0.00000000
-3,Copper,432,Cubic_High m-3m,<011>,-0.52056705,0.00000000
-3,Copper,432,Cubic_High m-3m,<011>,-0.00214159,-0.26795052
-3,Copper,432,Cubic_High m-3m,<011>,-0.00214159,-0.26795052
-3,Copper,432,Cubic_High m-3m,<011>,-0.00214159,0.26795052
-3,Copper,432,Cubic_High m-3m,<011>,-0.00214159,0.26795052
-3,Copper,432,Cubic_High m-3m,<011>,0.00000000,1.00000000
-3,Copper,432,Cubic_High m-3m,<011>,0.00000000,1.00000000
-3,Copper,432,Cubic_High m-3m,<011>,0.63071088,-0.38686523
-3,Copper,432,Cubic_High m-3m,<011>,0.63071088,-0.38686523
-3,Copper,432,Cubic_High m-3m,<011>,0.63071088,0.38686523
-3,Copper,432,Cubic_High m-3m,<011>,0.63071088,0.38686523
-3,Copper,432,Cubic_High m-3m,<111>,-0.17394897,-0.00000000
-3,Copper,432,Cubic_High m-3m,<111>,-0.17394897,-0.00000000
-3,Copper,432,Cubic_High m-3m,<111>,0.22482588,-0.55433207
-3,Copper,432,Cubic_High m-3m,<111>,0.22482588,-0.55433207
-3,Copper,432,Cubic_High m-3m,<111>,0.22482588,0.55433207
-3,Copper,432,Cubic_High m-3m,<111>,0.22482588,0.55433207
-3,Copper,432,Cubic_High m-3m,<111>,0.99539614,-0.00000000
-3,Copper,432,Cubic_High m-3m,<111>,0.99539614,0.00000000
-3,Copper,23,Cubic_Low m-3,<001>,-0.41209184,-0.50307125
-3,Copper,23,Cubic_Low m-3,<001>,-0.41209184,-0.50307125
-3,Copper,23,Cubic_Low m-3,<001>,-0.41209184,0.50307125
-3,Copper,23,Cubic_Low m-3,<001>,-0.41209184,0.50307125
-3,Copper,23,Cubic_Low m-3,<001>,0.31529879,0.00000000
-3,Copper,23,Cubic_Low m-3,<001>,0.31529879,0.00000000
-3,Copper,23,Cubic_Low m-3,<011>,-0.52056705,0.00000000
-3,Copper,23,Cubic_Low m-3,<011>,-0.52056705,0.00000000
-3,Copper,23,Cubic_Low m-3,<011>,-0.00214159,-0.26795052
-3,Copper,23,Cubic_Low m-3,<011>,-0.00214159,-0.26795052
-3,Copper,23,Cubic_Low m-3,<011>,-0.00214159,0.26795052
-3,Copper,23,Cubic_Low m-3,<011>,-0.00214159,0.26795052
-3,Copper,23,Cubic_Low m-3,<011>,0.00000000,1.00000000
-3,Copper,23,Cubic_Low m-3,<011>,0.00000000,1.00000000
-3,Copper,23,Cubic_Low m-3,<011>,0.63071088,-0.38686523
-3,Copper,23,Cubic_Low m-3,<011>,0.63071088,-0.38686523
-3,Copper,23,Cubic_Low m-3,<011>,0.63071088,0.38686523
-3,Copper,23,Cubic_Low m-3,<011>,0.63071088,0.38686523
-3,Copper,23,Cubic_Low m-3,<111>,-0.17394897,-0.00000000
-3,Copper,23,Cubic_Low m-3,<111>,-0.17394897,-0.00000000
-3,Copper,23,Cubic_Low m-3,<111>,0.22482588,-0.55433207
-3,Copper,23,Cubic_Low m-3,<111>,0.22482588,-0.55433207
-3,Copper,23,Cubic_Low m-3,<111>,0.22482588,0.55433207
-3,Copper,23,Cubic_Low m-3,<111>,0.22482588,0.55433207
-3,Copper,23,Cubic_Low m-3,<111>,0.99539614,-0.00000000
-3,Copper,23,Cubic_Low m-3,<111>,0.99539614,-0.00000000
-3,Copper,622,Hexagonal_High 6/mmm,<0001>,0.31529879,-0.00000000
-3,Copper,622,Hexagonal_High 6/mmm,<0001>,0.31529879,-0.00000000
-3,Copper,622,Hexagonal_High 6/mmm,<10-10>,-0.50915294,-0.16654676
-3,Copper,622,Hexagonal_High 6/mmm,<10-10>,-0.50915294,-0.16654676
-3,Copper,622,Hexagonal_High 6/mmm,<10-10>,-0.41209184,0.50307125
-3,Copper,622,Hexagonal_High 6/mmm,<10-10>,-0.41209184,0.50307125
-3,Copper,622,Hexagonal_High 6/mmm,<10-10>,-0.18460681,-0.84106728
-3,Copper,622,Hexagonal_High 6/mmm,<10-10>,-0.18460681,-0.84106728
-3,Copper,622,Hexagonal_High 6/mmm,<11-20>,-0.50915294,0.16654676
-3,Copper,622,Hexagonal_High 6/mmm,<11-20>,-0.50915294,0.16654676
-3,Copper,622,Hexagonal_High 6/mmm,<11-20>,-0.41209184,-0.50307125
-3,Copper,622,Hexagonal_High 6/mmm,<11-20>,-0.41209184,-0.50307125
-3,Copper,622,Hexagonal_High 6/mmm,<11-20>,-0.18460681,0.84106728
-3,Copper,622,Hexagonal_High 6/mmm,<11-20>,-0.18460681,0.84106728
-3,Copper,6,Hexagonal_Low 6/m,<0001>,0.31529879,-0.00000000
-3,Copper,6,Hexagonal_Low 6/m,<0001>,0.31529879,-0.00000000
-3,Copper,6,Hexagonal_Low 6/m,<10-10>,-0.50915294,-0.16654676
-3,Copper,6,Hexagonal_Low 6/m,<10-10>,-0.50915294,-0.16654676
-3,Copper,6,Hexagonal_Low 6/m,<10-10>,-0.41209184,0.50307125
-3,Copper,6,Hexagonal_Low 6/m,<10-10>,-0.41209184,0.50307125
-3,Copper,6,Hexagonal_Low 6/m,<10-10>,-0.18460681,-0.84106728
-3,Copper,6,Hexagonal_Low 6/m,<10-10>,-0.18460681,-0.84106728
-3,Copper,6,Hexagonal_Low 6/m,<11-20>,-0.50915294,0.16654676
-3,Copper,6,Hexagonal_Low 6/m,<11-20>,-0.50915294,0.16654676
-3,Copper,6,Hexagonal_Low 6/m,<11-20>,-0.41209184,-0.50307125
-3,Copper,6,Hexagonal_Low 6/m,<11-20>,-0.41209184,-0.50307125
-3,Copper,6,Hexagonal_Low 6/m,<11-20>,-0.18460681,0.84106728
-3,Copper,6,Hexagonal_Low 6/m,<11-20>,-0.18460681,0.84106728
-3,Copper,32,Trigonal_High -3m,<0001>,0.31529879,-0.00000000
-3,Copper,32,Trigonal_High -3m,<0001>,0.31529879,-0.00000000
-3,Copper,32,Trigonal_High -3m,<0-110>,-0.50915294,-0.16654676
-3,Copper,32,Trigonal_High -3m,<0-110>,-0.50915294,-0.16654676
-3,Copper,32,Trigonal_High -3m,<0-110>,-0.41209184,0.50307125
-3,Copper,32,Trigonal_High -3m,<0-110>,-0.41209184,0.50307125
-3,Copper,32,Trigonal_High -3m,<0-110>,-0.18460681,-0.84106728
-3,Copper,32,Trigonal_High -3m,<0-110>,-0.18460681,-0.84106728
-3,Copper,32,Trigonal_High -3m,<1-100>,-0.50915294,-0.16654676
-3,Copper,32,Trigonal_High -3m,<1-100>,-0.50915294,-0.16654676
-3,Copper,32,Trigonal_High -3m,<1-100>,-0.41209184,0.50307125
-3,Copper,32,Trigonal_High -3m,<1-100>,-0.41209184,0.50307125
-3,Copper,32,Trigonal_High -3m,<1-100>,-0.18460681,-0.84106728
-3,Copper,32,Trigonal_High -3m,<1-100>,-0.18460681,-0.84106728
-3,Copper,3,Trigonal_Low -3,<0001>,0.31529879,-0.00000000
-3,Copper,3,Trigonal_Low -3,<0001>,0.31529879,-0.00000000
-3,Copper,3,Trigonal_Low -3,<-1-120>,-0.50915294,0.16654676
-3,Copper,3,Trigonal_Low -3,<-1-120>,-0.50915294,0.16654676
-3,Copper,3,Trigonal_Low -3,<-1-120>,-0.41209184,-0.50307125
-3,Copper,3,Trigonal_Low -3,<-1-120>,-0.41209184,-0.50307125
-3,Copper,3,Trigonal_Low -3,<-1-120>,-0.18460681,0.84106728
-3,Copper,3,Trigonal_Low -3,<-1-120>,-0.18460681,0.84106728
-3,Copper,3,Trigonal_Low -3,<2-1-10>,-0.50915294,0.16654676
-3,Copper,3,Trigonal_Low -3,<2-1-10>,-0.50915294,0.16654676
-3,Copper,3,Trigonal_Low -3,<2-1-10>,-0.41209184,-0.50307125
-3,Copper,3,Trigonal_Low -3,<2-1-10>,-0.41209184,-0.50307125
-3,Copper,3,Trigonal_Low -3,<2-1-10>,-0.18460681,0.84106728
-3,Copper,3,Trigonal_Low -3,<2-1-10>,-0.18460681,0.84106728
-3,Copper,422,Tetragonal_High 4/mmm,<001>,0.31529879,0.00000000
-3,Copper,422,Tetragonal_High 4/mmm,<001>,0.31529879,0.00000000
-3,Copper,422,Tetragonal_High 4/mmm,<100>,-0.41209184,-0.50307125
-3,Copper,422,Tetragonal_High 4/mmm,<100>,-0.41209184,-0.50307125
-3,Copper,422,Tetragonal_High 4/mmm,<100>,-0.41209184,0.50307125
-3,Copper,422,Tetragonal_High 4/mmm,<100>,-0.41209184,0.50307125
-3,Copper,422,Tetragonal_High 4/mmm,<110>,-0.52056705,-0.00000000
-3,Copper,422,Tetragonal_High 4/mmm,<110>,-0.52056705,-0.00000000
-3,Copper,422,Tetragonal_High 4/mmm,<110>,-0.00000000,1.00000000
-3,Copper,422,Tetragonal_High 4/mmm,<110>,-0.00000000,1.00000000
-3,Copper,4,Tetragonal_Low 4/m,<001>,0.31529879,0.00000000
-3,Copper,4,Tetragonal_Low 4/m,<001>,0.31529879,0.00000000
-3,Copper,4,Tetragonal_Low 4/m,<100>,-0.41209184,-0.50307125
-3,Copper,4,Tetragonal_Low 4/m,<100>,-0.41209184,-0.50307125
-3,Copper,4,Tetragonal_Low 4/m,<100>,-0.41209184,0.50307125
-3,Copper,4,Tetragonal_Low 4/m,<100>,-0.41209184,0.50307125
-3,Copper,4,Tetragonal_Low 4/m,<110>,-0.52056705,-0.00000000
-3,Copper,4,Tetragonal_Low 4/m,<110>,-0.52056705,-0.00000000
-3,Copper,4,Tetragonal_Low 4/m,<110>,0.00000000,-1.00000000
-3,Copper,4,Tetragonal_Low 4/m,<110>,-0.00000000,-1.00000000
-3,Copper,222,OrthoRhombic mmm,<001>,0.31529879,0.00000000
-3,Copper,222,OrthoRhombic mmm,<001>,0.31529879,0.00000000
-3,Copper,222,OrthoRhombic mmm,<100>,-0.41209184,0.50307125
-3,Copper,222,OrthoRhombic mmm,<100>,-0.41209184,0.50307125
-3,Copper,222,OrthoRhombic mmm,<010>,-0.41209184,-0.50307125
-3,Copper,222,OrthoRhombic mmm,<010>,-0.41209184,-0.50307125
-3,Copper,2,Monoclinic 2/m,<001>,0.31529879,0.00000000
-3,Copper,2,Monoclinic 2/m,<001>,0.31529879,0.00000000
-3,Copper,2,Monoclinic 2/m,<100>,-0.41209184,0.50307125
-3,Copper,2,Monoclinic 2/m,<100>,-0.41209184,0.50307125
-3,Copper,2,Monoclinic 2/m,<010>,-0.41209184,-0.50307125
-3,Copper,2,Monoclinic 2/m,<010>,-0.41209184,-0.50307125
-3,Copper,1,Triclinic -1,<001>,0.31529879,0.00000000
-3,Copper,1,Triclinic -1,<001>,0.31529879,0.00000000
-3,Copper,1,Triclinic -1,<100>,-0.41209184,0.50307125
-3,Copper,1,Triclinic -1,<100>,-0.41209184,0.50307125
-3,Copper,1,Triclinic -1,<010>,-0.41209184,-0.50307125
-3,Copper,1,Triclinic -1,<010>,-0.41209184,-0.50307125
-4,S,432,Cubic_High m-3m,<001>,-0.60452159,-0.45318449
-4,S,432,Cubic_High m-3m,<001>,-0.60452159,-0.45318449
-4,S,432,Cubic_High m-3m,<001>,-0.24484029,0.49188327
-4,S,432,Cubic_High m-3m,<001>,-0.24484029,0.49188327
-4,S,432,Cubic_High m-3m,<001>,0.28680417,-0.17232933
-4,S,432,Cubic_High m-3m,<001>,0.28680417,-0.17232933
-4,S,432,Cubic_High m-3m,<011>,-0.51528578,0.08033568
-4,S,432,Cubic_High m-3m,<011>,-0.51528578,0.08033568
-4,S,432,Cubic_High m-3m,<011>,-0.10210173,-0.35677249
-4,S,432,Cubic_High m-3m,<011>,-0.10210173,-0.35677249
-4,S,432,Cubic_High m-3m,<011>,0.05082713,0.16212166
-4,S,432,Cubic_High m-3m,<011>,0.05082713,0.16212166
-4,S,432,Cubic_High m-3m,<011>,0.23465019,0.79455715
-4,S,432,Cubic_High m-3m,<011>,0.23465019,0.79455715
-4,S,432,Cubic_High m-3m,<011>,0.53201127,-0.63556087
-4,S,432,Cubic_High m-3m,<011>,0.53201127,-0.63556087
-4,S,432,Cubic_High m-3m,<011>,0.66277774,0.13767834
-4,S,432,Cubic_High m-3m,<011>,0.66277774,0.13767834
-4,S,432,Cubic_High m-3m,<111>,-0.95342022,0.28034255
-4,S,432,Cubic_High m-3m,<111>,-0.95342022,0.28034255
-4,S,432,Cubic_High m-3m,<111>,-0.18860386,-0.03931558
-4,S,432,Cubic_High m-3m,<111>,-0.18860386,-0.03931558
-4,S,432,Cubic_High m-3m,<111>,0.05393038,-0.72435237
-4,S,432,Cubic_High m-3m,<111>,0.05393038,-0.72435237
-4,S,432,Cubic_High m-3m,<111>,0.32552487,0.36607030
-4,S,432,Cubic_High m-3m,<111>,0.32552487,0.36607030
-4,S,23,Cubic_Low m-3,<001>,-0.60452159,-0.45318449
-4,S,23,Cubic_Low m-3,<001>,-0.60452159,-0.45318449
-4,S,23,Cubic_Low m-3,<001>,-0.24484029,0.49188327
-4,S,23,Cubic_Low m-3,<001>,-0.24484029,0.49188327
-4,S,23,Cubic_Low m-3,<001>,0.28680417,-0.17232933
-4,S,23,Cubic_Low m-3,<001>,0.28680417,-0.17232933
-4,S,23,Cubic_Low m-3,<011>,-0.51528578,0.08033568
-4,S,23,Cubic_Low m-3,<011>,-0.51528578,0.08033568
-4,S,23,Cubic_Low m-3,<011>,-0.10210173,-0.35677249
-4,S,23,Cubic_Low m-3,<011>,-0.10210173,-0.35677249
-4,S,23,Cubic_Low m-3,<011>,0.05082713,0.16212166
-4,S,23,Cubic_Low m-3,<011>,0.05082713,0.16212166
-4,S,23,Cubic_Low m-3,<011>,0.23465019,0.79455715
-4,S,23,Cubic_Low m-3,<011>,0.23465019,0.79455715
-4,S,23,Cubic_Low m-3,<011>,0.53201127,-0.63556087
-4,S,23,Cubic_Low m-3,<011>,0.53201127,-0.63556087
-4,S,23,Cubic_Low m-3,<011>,0.66277774,0.13767834
-4,S,23,Cubic_Low m-3,<011>,0.66277774,0.13767834
-4,S,23,Cubic_Low m-3,<111>,-0.95342022,0.28034255
-4,S,23,Cubic_Low m-3,<111>,-0.95342022,0.28034255
-4,S,23,Cubic_Low m-3,<111>,-0.18860386,-0.03931558
-4,S,23,Cubic_Low m-3,<111>,-0.18860386,-0.03931558
-4,S,23,Cubic_Low m-3,<111>,0.05393038,-0.72435237
-4,S,23,Cubic_Low m-3,<111>,0.05393038,-0.72435237
-4,S,23,Cubic_Low m-3,<111>,0.32552487,0.36607030
-4,S,23,Cubic_Low m-3,<111>,0.32552487,0.36607030
-4,S,622,Hexagonal_High 6/mmm,<0001>,0.28680417,-0.17232933
-4,S,622,Hexagonal_High 6/mmm,<0001>,0.28680417,-0.17232933
-4,S,622,Hexagonal_High 6/mmm,<10-10>,-0.56796689,-0.08099711
-4,S,622,Hexagonal_High 6/mmm,<10-10>,-0.56796689,-0.08099711
-4,S,622,Hexagonal_High 6/mmm,<10-10>,-0.24484029,0.49188327
-4,S,622,Hexagonal_High 6/mmm,<10-10>,-0.24484029,0.49188327
-4,S,622,Hexagonal_High 6/mmm,<10-10>,0.46389385,0.85072490
-4,S,622,Hexagonal_High 6/mmm,<10-10>,0.46389385,0.85072490
-4,S,622,Hexagonal_High 6/mmm,<11-20>,-0.60452159,-0.45318449
-4,S,622,Hexagonal_High 6/mmm,<11-20>,-0.60452159,-0.45318449
-4,S,622,Hexagonal_High 6/mmm,<11-20>,-0.44383848,0.22854812
-4,S,622,Hexagonal_High 6/mmm,<11-20>,-0.44383848,0.22854812
-4,S,622,Hexagonal_High 6/mmm,<11-20>,0.04451583,0.71014161
-4,S,622,Hexagonal_High 6/mmm,<11-20>,0.04451583,0.71014161
-4,S,6,Hexagonal_Low 6/m,<0001>,0.28680417,-0.17232933
-4,S,6,Hexagonal_Low 6/m,<0001>,0.28680417,-0.17232933
-4,S,6,Hexagonal_Low 6/m,<10-10>,-0.56796689,-0.08099711
-4,S,6,Hexagonal_Low 6/m,<10-10>,-0.56796689,-0.08099711
-4,S,6,Hexagonal_Low 6/m,<10-10>,-0.24484029,0.49188327
-4,S,6,Hexagonal_Low 6/m,<10-10>,-0.24484029,0.49188327
-4,S,6,Hexagonal_Low 6/m,<10-10>,0.46389385,0.85072490
-4,S,6,Hexagonal_Low 6/m,<10-10>,0.46389385,0.85072490
-4,S,6,Hexagonal_Low 6/m,<11-20>,-0.60452159,-0.45318449
-4,S,6,Hexagonal_Low 6/m,<11-20>,-0.60452159,-0.45318449
-4,S,6,Hexagonal_Low 6/m,<11-20>,-0.44383848,0.22854812
-4,S,6,Hexagonal_Low 6/m,<11-20>,-0.44383848,0.22854812
-4,S,6,Hexagonal_Low 6/m,<11-20>,0.04451583,0.71014161
-4,S,6,Hexagonal_Low 6/m,<11-20>,0.04451583,0.71014161
-4,S,32,Trigonal_High -3m,<0001>,0.28680417,-0.17232933
-4,S,32,Trigonal_High -3m,<0001>,0.28680417,-0.17232933
-4,S,32,Trigonal_High -3m,<0-110>,-0.56796689,-0.08099711
-4,S,32,Trigonal_High -3m,<0-110>,-0.56796689,-0.08099711
-4,S,32,Trigonal_High -3m,<0-110>,-0.24484029,0.49188327
-4,S,32,Trigonal_High -3m,<0-110>,-0.24484029,0.49188327
-4,S,32,Trigonal_High -3m,<0-110>,0.46389385,0.85072490
-4,S,32,Trigonal_High -3m,<0-110>,0.46389385,0.85072490
-4,S,32,Trigonal_High -3m,<1-100>,-0.56796689,-0.08099711
-4,S,32,Trigonal_High -3m,<1-100>,-0.56796689,-0.08099711
-4,S,32,Trigonal_High -3m,<1-100>,-0.24484029,0.49188327
-4,S,32,Trigonal_High -3m,<1-100>,-0.24484029,0.49188327
-4,S,32,Trigonal_High -3m,<1-100>,0.46389385,0.85072490
-4,S,32,Trigonal_High -3m,<1-100>,0.46389385,0.85072490
-4,S,3,Trigonal_Low -3,<0001>,0.28680417,-0.17232933
-4,S,3,Trigonal_Low -3,<0001>,0.28680417,-0.17232933
-4,S,3,Trigonal_Low -3,<-1-120>,-0.60452159,-0.45318449
-4,S,3,Trigonal_Low -3,<-1-120>,-0.60452159,-0.45318449
-4,S,3,Trigonal_Low -3,<-1-120>,-0.44383848,0.22854812
-4,S,3,Trigonal_Low -3,<-1-120>,-0.44383848,0.22854812
-4,S,3,Trigonal_Low -3,<-1-120>,0.04451583,0.71014161
-4,S,3,Trigonal_Low -3,<-1-120>,0.04451583,0.71014161
-4,S,3,Trigonal_Low -3,<2-1-10>,-0.60452159,-0.45318449
-4,S,3,Trigonal_Low -3,<2-1-10>,-0.60452159,-0.45318449
-4,S,3,Trigonal_Low -3,<2-1-10>,-0.44383848,0.22854812
-4,S,3,Trigonal_Low -3,<2-1-10>,-0.44383848,0.22854812
-4,S,3,Trigonal_Low -3,<2-1-10>,0.04451583,0.71014161
-4,S,3,Trigonal_Low -3,<2-1-10>,0.04451583,0.71014161
-4,S,422,Tetragonal_High 4/mmm,<001>,0.28680417,-0.17232933
-4,S,422,Tetragonal_High 4/mmm,<001>,0.28680417,-0.17232933
-4,S,422,Tetragonal_High 4/mmm,<100>,-0.60452159,-0.45318449
-4,S,422,Tetragonal_High 4/mmm,<100>,-0.60452159,-0.45318449
-4,S,422,Tetragonal_High 4/mmm,<100>,-0.24484029,0.49188327
-4,S,422,Tetragonal_High 4/mmm,<100>,-0.24484029,0.49188327
-4,S,422,Tetragonal_High 4/mmm,<110>,-0.51528578,0.08033568
-4,S,422,Tetragonal_High 4/mmm,<110>,-0.51528578,0.08033568
-4,S,422,Tetragonal_High 4/mmm,<110>,0.23465019,0.79455715
-4,S,422,Tetragonal_High 4/mmm,<110>,0.23465019,0.79455715
-4,S,4,Tetragonal_Low 4/m,<001>,0.28680417,-0.17232933
-4,S,4,Tetragonal_Low 4/m,<001>,0.28680417,-0.17232933
-4,S,4,Tetragonal_Low 4/m,<100>,-0.60452159,-0.45318449
-4,S,4,Tetragonal_Low 4/m,<100>,-0.60452159,-0.45318449
-4,S,4,Tetragonal_Low 4/m,<100>,-0.24484029,0.49188327
-4,S,4,Tetragonal_Low 4/m,<100>,-0.24484029,0.49188327
-4,S,4,Tetragonal_Low 4/m,<110>,-0.51528578,0.08033568
-4,S,4,Tetragonal_Low 4/m,<110>,-0.51528578,0.08033568
-4,S,4,Tetragonal_Low 4/m,<110>,0.23465019,0.79455715
-4,S,4,Tetragonal_Low 4/m,<110>,0.23465019,0.79455715
-4,S,222,OrthoRhombic mmm,<001>,0.28680417,-0.17232933
-4,S,222,OrthoRhombic mmm,<001>,0.28680417,-0.17232933
-4,S,222,OrthoRhombic mmm,<100>,-0.24484029,0.49188327
-4,S,222,OrthoRhombic mmm,<100>,-0.24484029,0.49188327
-4,S,222,OrthoRhombic mmm,<010>,-0.60452159,-0.45318449
-4,S,222,OrthoRhombic mmm,<010>,-0.60452159,-0.45318449
-4,S,2,Monoclinic 2/m,<001>,0.28680417,-0.17232933
-4,S,2,Monoclinic 2/m,<001>,0.28680417,-0.17232933
-4,S,2,Monoclinic 2/m,<100>,-0.24484029,0.49188327
-4,S,2,Monoclinic 2/m,<100>,-0.24484029,0.49188327
-4,S,2,Monoclinic 2/m,<010>,-0.60452159,-0.45318449
-4,S,2,Monoclinic 2/m,<010>,-0.60452159,-0.45318449
-4,S,1,Triclinic -1,<001>,0.28680417,-0.17232933
-4,S,1,Triclinic -1,<001>,0.28680417,-0.17232933
-4,S,1,Triclinic -1,<100>,-0.24484029,0.49188327
-4,S,1,Triclinic -1,<100>,-0.24484029,0.49188327
-4,S,1,Triclinic -1,<010>,-0.60452159,-0.45318449
-4,S,1,Triclinic -1,<010>,-0.60452159,-0.45318449
-5,S1,432,Cubic_High m-3m,<001>,-0.67666040,-0.43958718
-5,S1,432,Cubic_High m-3m,<001>,-0.67666040,-0.43958718
-5,S1,432,Cubic_High m-3m,<001>,-0.27563271,0.54803588
-5,S1,432,Cubic_High m-3m,<001>,-0.27563271,0.54803588
-5,S1,432,Cubic_High m-3m,<001>,0.21949113,-0.15368934
-5,S1,432,Cubic_High m-3m,<001>,0.21949113,-0.15368934
-5,S1,432,Cubic_High m-3m,<011>,-0.58699928,0.12695795
-5,S1,432,Cubic_High m-3m,<011>,-0.58699928,0.12695795
-5,S1,432,Cubic_High m-3m,<011>,-0.16458398,-0.32881732
-5,S1,432,Cubic_High m-3m,<011>,-0.16458398,-0.32881732
-5,S1,432,Cubic_High m-3m,<011>,0.00330698,0.18643213
-5,S1,432,Cubic_High m-3m,<011>,0.00330698,0.18643213
-5,S1,432,Cubic_High m-3m,<011>,0.25307574,0.80242128
-5,S1,432,Cubic_High m-3m,<011>,0.25307574,0.80242128
-5,S1,432,Cubic_High m-3m,<011>,0.44339083,-0.59283977
-5,S1,432,Cubic_High m-3m,<011>,0.44339083,-0.59283977
-5,S1,432,Cubic_High m-3m,<011>,0.59413370,0.11875112
-5,S1,432,Cubic_High m-3m,<011>,0.59413370,0.11875112
-5,S1,432,Cubic_High m-3m,<111>,-0.24845851,-0.00701408
-5,S1,432,Cubic_High m-3m,<111>,-0.24845851,-0.00701408
-5,S1,432,Cubic_High m-3m,<111>,-0.00404551,-0.68569013
-5,S1,432,Cubic_High m-3m,<111>,-0.00404551,-0.68569013
-5,S1,432,Cubic_High m-3m,<111>,0.29179833,0.36693564
-5,S1,432,Cubic_High m-3m,<111>,0.29179833,0.36693564
-5,S1,432,Cubic_High m-3m,<111>,0.84285611,-0.28479985
-5,S1,432,Cubic_High m-3m,<111>,0.84285611,-0.28479985
-5,S1,23,Cubic_Low m-3,<001>,-0.67666040,-0.43958718
-5,S1,23,Cubic_Low m-3,<001>,-0.67666040,-0.43958718
-5,S1,23,Cubic_Low m-3,<001>,-0.27563271,0.54803588
-5,S1,23,Cubic_Low m-3,<001>,-0.27563271,0.54803588
-5,S1,23,Cubic_Low m-3,<001>,0.21949113,-0.15368934
-5,S1,23,Cubic_Low m-3,<001>,0.21949113,-0.15368934
-5,S1,23,Cubic_Low m-3,<011>,-0.58699928,0.12695795
-5,S1,23,Cubic_Low m-3,<011>,-0.58699928,0.12695795
-5,S1,23,Cubic_Low m-3,<011>,-0.16458398,-0.32881732
-5,S1,23,Cubic_Low m-3,<011>,-0.16458398,-0.32881732
-5,S1,23,Cubic_Low m-3,<011>,0.00330698,0.18643213
-5,S1,23,Cubic_Low m-3,<011>,0.00330698,0.18643213
-5,S1,23,Cubic_Low m-3,<011>,0.25307574,0.80242128
-5,S1,23,Cubic_Low m-3,<011>,0.25307574,0.80242128
-5,S1,23,Cubic_Low m-3,<011>,0.44339083,-0.59283977
-5,S1,23,Cubic_Low m-3,<011>,0.44339083,-0.59283977
-5,S1,23,Cubic_Low m-3,<011>,0.59413370,0.11875112
-5,S1,23,Cubic_Low m-3,<011>,0.59413370,0.11875112
-5,S1,23,Cubic_Low m-3,<111>,-0.24845851,-0.00701408
-5,S1,23,Cubic_Low m-3,<111>,-0.24845851,-0.00701408
-5,S1,23,Cubic_Low m-3,<111>,-0.00404551,-0.68569013
-5,S1,23,Cubic_Low m-3,<111>,-0.00404551,-0.68569013
-5,S1,23,Cubic_Low m-3,<111>,0.29179833,0.36693564
-5,S1,23,Cubic_Low m-3,<111>,0.29179833,0.36693564
-5,S1,23,Cubic_Low m-3,<111>,0.84285611,-0.28479985
-5,S1,23,Cubic_Low m-3,<111>,0.84285611,-0.28479985
-5,S1,622,Hexagonal_High 6/mmm,<0001>,0.21949113,-0.15368934
-5,S1,622,Hexagonal_High 6/mmm,<0001>,0.21949113,-0.15368934
-5,S1,622,Hexagonal_High 6/mmm,<10-10>,-0.64565634,-0.04465702
-5,S1,622,Hexagonal_High 6/mmm,<10-10>,-0.64565634,-0.04465702
-5,S1,622,Hexagonal_High 6/mmm,<10-10>,-0.27563271,0.54803588
-5,S1,622,Hexagonal_High 6/mmm,<10-10>,-0.27563271,0.54803588
-5,S1,622,Hexagonal_High 6/mmm,<10-10>,0.48828647,0.82344401
-5,S1,622,Hexagonal_High 6/mmm,<10-10>,0.48828647,0.82344401
-5,S1,622,Hexagonal_High 6/mmm,<11-20>,-0.67666040,-0.43958718
-5,S1,622,Hexagonal_High 6/mmm,<11-20>,-0.67666040,-0.43958718
-5,S1,622,Hexagonal_High 6/mmm,<11-20>,-0.50510566,0.28265703
-5,S1,622,Hexagonal_High 6/mmm,<11-20>,-0.50510566,0.28265703
-5,S1,622,Hexagonal_High 6/mmm,<11-20>,0.04891828,0.74287571
-5,S1,622,Hexagonal_High 6/mmm,<11-20>,0.04891828,0.74287571
-5,S1,6,Hexagonal_Low 6/m,<0001>,0.21949113,-0.15368934
-5,S1,6,Hexagonal_Low 6/m,<0001>,0.21949113,-0.15368934
-5,S1,6,Hexagonal_Low 6/m,<10-10>,-0.64565634,-0.04465702
-5,S1,6,Hexagonal_Low 6/m,<10-10>,-0.64565634,-0.04465702
-5,S1,6,Hexagonal_Low 6/m,<10-10>,-0.27563271,0.54803588
-5,S1,6,Hexagonal_Low 6/m,<10-10>,-0.27563271,0.54803588
-5,S1,6,Hexagonal_Low 6/m,<10-10>,0.48828647,0.82344401
-5,S1,6,Hexagonal_Low 6/m,<10-10>,0.48828647,0.82344401
-5,S1,6,Hexagonal_Low 6/m,<11-20>,-0.67666040,-0.43958718
-5,S1,6,Hexagonal_Low 6/m,<11-20>,-0.67666040,-0.43958718
-5,S1,6,Hexagonal_Low 6/m,<11-20>,-0.50510566,0.28265703
-5,S1,6,Hexagonal_Low 6/m,<11-20>,-0.50510566,0.28265703
-5,S1,6,Hexagonal_Low 6/m,<11-20>,0.04891828,0.74287571
-5,S1,6,Hexagonal_Low 6/m,<11-20>,0.04891828,0.74287571
-5,S1,32,Trigonal_High -3m,<0001>,0.21949113,-0.15368934
-5,S1,32,Trigonal_High -3m,<0001>,0.21949113,-0.15368934
-5,S1,32,Trigonal_High -3m,<0-110>,-0.64565634,-0.04465702
-5,S1,32,Trigonal_High -3m,<0-110>,-0.64565634,-0.04465702
-5,S1,32,Trigonal_High -3m,<0-110>,-0.27563271,0.54803588
-5,S1,32,Trigonal_High -3m,<0-110>,-0.27563271,0.54803588
-5,S1,32,Trigonal_High -3m,<0-110>,0.48828647,0.82344401
-5,S1,32,Trigonal_High -3m,<0-110>,0.48828647,0.82344401
-5,S1,32,Trigonal_High -3m,<1-100>,-0.64565634,-0.04465702
-5,S1,32,Trigonal_High -3m,<1-100>,-0.64565634,-0.04465702
-5,S1,32,Trigonal_High -3m,<1-100>,-0.27563271,0.54803588
-5,S1,32,Trigonal_High -3m,<1-100>,-0.27563271,0.54803588
-5,S1,32,Trigonal_High -3m,<1-100>,0.48828647,0.82344401
-5,S1,32,Trigonal_High -3m,<1-100>,0.48828647,0.82344401
-5,S1,3,Trigonal_Low -3,<0001>,0.21949113,-0.15368934
-5,S1,3,Trigonal_Low -3,<0001>,0.21949113,-0.15368934
-5,S1,3,Trigonal_Low -3,<-1-120>,-0.67666040,-0.43958718
-5,S1,3,Trigonal_Low -3,<-1-120>,-0.67666040,-0.43958718
-5,S1,3,Trigonal_Low -3,<-1-120>,-0.50510566,0.28265703
-5,S1,3,Trigonal_Low -3,<-1-120>,-0.50510566,0.28265703
-5,S1,3,Trigonal_Low -3,<-1-120>,0.04891828,0.74287571
-5,S1,3,Trigonal_Low -3,<-1-120>,0.04891828,0.74287571
-5,S1,3,Trigonal_Low -3,<2-1-10>,-0.67666040,-0.43958718
-5,S1,3,Trigonal_Low -3,<2-1-10>,-0.67666040,-0.43958718
-5,S1,3,Trigonal_Low -3,<2-1-10>,-0.50510566,0.28265703
-5,S1,3,Trigonal_Low -3,<2-1-10>,-0.50510566,0.28265703
-5,S1,3,Trigonal_Low -3,<2-1-10>,0.04891828,0.74287571
-5,S1,3,Trigonal_Low -3,<2-1-10>,0.04891828,0.74287571
-5,S1,422,Tetragonal_High 4/mmm,<001>,0.21949113,-0.15368934
-5,S1,422,Tetragonal_High 4/mmm,<001>,0.21949113,-0.15368934
-5,S1,422,Tetragonal_High 4/mmm,<100>,-0.67666040,-0.43958718
-5,S1,422,Tetragonal_High 4/mmm,<100>,-0.67666040,-0.43958718
-5,S1,422,Tetragonal_High 4/mmm,<100>,-0.27563271,0.54803588
-5,S1,422,Tetragonal_High 4/mmm,<100>,-0.27563271,0.54803588
-5,S1,422,Tetragonal_High 4/mmm,<110>,-0.58699928,0.12695795
-5,S1,422,Tetragonal_High 4/mmm,<110>,-0.58699928,0.12695795
-5,S1,422,Tetragonal_High 4/mmm,<110>,0.25307574,0.80242128
-5,S1,422,Tetragonal_High 4/mmm,<110>,0.25307574,0.80242128
-5,S1,4,Tetragonal_Low 4/m,<001>,0.21949113,-0.15368934
-5,S1,4,Tetragonal_Low 4/m,<001>,0.21949113,-0.15368934
-5,S1,4,Tetragonal_Low 4/m,<100>,-0.67666040,-0.43958718
-5,S1,4,Tetragonal_Low 4/m,<100>,-0.67666040,-0.43958718
-5,S1,4,Tetragonal_Low 4/m,<100>,-0.27563271,0.54803588
-5,S1,4,Tetragonal_Low 4/m,<100>,-0.27563271,0.54803588
-5,S1,4,Tetragonal_Low 4/m,<110>,-0.58699928,0.12695795
-5,S1,4,Tetragonal_Low 4/m,<110>,-0.58699928,0.12695795
-5,S1,4,Tetragonal_Low 4/m,<110>,0.25307574,0.80242128
-5,S1,4,Tetragonal_Low 4/m,<110>,0.25307574,0.80242128
-5,S1,222,OrthoRhombic mmm,<001>,0.21949113,-0.15368934
-5,S1,222,OrthoRhombic mmm,<001>,0.21949113,-0.15368934
-5,S1,222,OrthoRhombic mmm,<100>,-0.27563271,0.54803588
-5,S1,222,OrthoRhombic mmm,<100>,-0.27563271,0.54803588
-5,S1,222,OrthoRhombic mmm,<010>,-0.67666040,-0.43958718
-5,S1,222,OrthoRhombic mmm,<010>,-0.67666040,-0.43958718
-5,S1,2,Monoclinic 2/m,<001>,0.21949113,-0.15368934
-5,S1,2,Monoclinic 2/m,<001>,0.21949113,-0.15368934
-5,S1,2,Monoclinic 2/m,<100>,-0.27563271,0.54803588
-5,S1,2,Monoclinic 2/m,<100>,-0.27563271,0.54803588
-5,S1,2,Monoclinic 2/m,<010>,-0.67666040,-0.43958718
-5,S1,2,Monoclinic 2/m,<010>,-0.67666040,-0.43958718
-5,S1,1,Triclinic -1,<001>,0.21949113,-0.15368934
-5,S1,1,Triclinic -1,<001>,0.21949113,-0.15368934
-5,S1,1,Triclinic -1,<100>,-0.27563271,0.54803588
-5,S1,1,Triclinic -1,<100>,-0.27563271,0.54803588
-5,S1,1,Triclinic -1,<010>,-0.67666040,-0.43958718
-5,S1,1,Triclinic -1,<010>,-0.67666040,-0.43958718
-6,S2,432,Cubic_High m-3m,<001>,-0.71285088,-0.31878850
-6,S2,432,Cubic_High m-3m,<001>,-0.71285088,-0.31878850
-6,S2,432,Cubic_High m-3m,<001>,-0.14878083,0.54202863
-6,S2,432,Cubic_High m-3m,<001>,-0.14878083,0.54202863
-6,S2,432,Cubic_High m-3m,<001>,0.22294991,-0.22294991
-6,S2,432,Cubic_High m-3m,<001>,0.22294991,-0.22294991
-6,S2,432,Cubic_High m-3m,<011>,-0.51081767,0.19652653
-6,S2,432,Cubic_High m-3m,<011>,-0.51081767,0.19652653
-6,S2,432,Cubic_High m-3m,<011>,-0.19390695,-0.32379584
-6,S2,432,Cubic_High m-3m,<011>,-0.19390695,-0.32379584
-6,S2,432,Cubic_High m-3m,<011>,0.06518126,0.15190139
-6,S2,432,Cubic_High m-3m,<011>,0.06518126,0.15190139
-6,S2,432,Cubic_High m-3m,<011>,0.36865582,-0.71745210
-6,S2,432,Cubic_High m-3m,<011>,0.36865582,-0.71745210
-6,S2,432,Cubic_High m-3m,<011>,0.38987231,0.72110759
-6,S2,432,Cubic_High m-3m,<011>,0.38987231,0.72110759
-6,S2,432,Cubic_High m-3m,<011>,0.64854511,-0.00477946
-6,S2,432,Cubic_High m-3m,<011>,0.64854511,-0.00477946
-6,S2,432,Cubic_High m-3m,<111>,-0.21312918,0.00668525
-6,S2,432,Cubic_High m-3m,<111>,-0.21312918,0.00668525
-6,S2,432,Cubic_High m-3m,<111>,-0.11168515,-0.71486516
-6,S2,432,Cubic_High m-3m,<111>,-0.11168515,-0.71486516
-6,S2,432,Cubic_High m-3m,<111>,0.37654403,0.28786998
-6,S2,432,Cubic_High m-3m,<111>,0.37654403,0.28786998
-6,S2,432,Cubic_High m-3m,<111>,0.84817392,-0.46580681
-6,S2,432,Cubic_High m-3m,<111>,0.84817392,-0.46580681
-6,S2,23,Cubic_Low m-3,<001>,-0.71285088,-0.31878850
-6,S2,23,Cubic_Low m-3,<001>,-0.71285088,-0.31878850
-6,S2,23,Cubic_Low m-3,<001>,-0.14878083,0.54202863
-6,S2,23,Cubic_Low m-3,<001>,-0.14878083,0.54202863
-6,S2,23,Cubic_Low m-3,<001>,0.22294991,-0.22294991
-6,S2,23,Cubic_Low m-3,<001>,0.22294991,-0.22294991
-6,S2,23,Cubic_Low m-3,<011>,-0.51081767,0.19652653
-6,S2,23,Cubic_Low m-3,<011>,-0.51081767,0.19652653
-6,S2,23,Cubic_Low m-3,<011>,-0.19390695,-0.32379584
-6,S2,23,Cubic_Low m-3,<011>,-0.19390695,-0.32379584
-6,S2,23,Cubic_Low m-3,<011>,0.06518126,0.15190139
-6,S2,23,Cubic_Low m-3,<011>,0.06518126,0.15190139
-6,S2,23,Cubic_Low m-3,<011>,0.36865582,-0.71745210
-6,S2,23,Cubic_Low m-3,<011>,0.36865582,-0.71745210
-6,S2,23,Cubic_Low m-3,<011>,0.38987231,0.72110759
-6,S2,23,Cubic_Low m-3,<011>,0.38987231,0.72110759
-6,S2,23,Cubic_Low m-3,<011>,0.64854511,-0.00477946
-6,S2,23,Cubic_Low m-3,<011>,0.64854511,-0.00477946
-6,S2,23,Cubic_Low m-3,<111>,-0.21312918,0.00668525
-6,S2,23,Cubic_Low m-3,<111>,-0.21312918,0.00668525
-6,S2,23,Cubic_Low m-3,<111>,-0.11168515,-0.71486516
-6,S2,23,Cubic_Low m-3,<111>,-0.11168515,-0.71486516
-6,S2,23,Cubic_Low m-3,<111>,0.37654403,0.28786998
-6,S2,23,Cubic_Low m-3,<111>,0.37654403,0.28786998
-6,S2,23,Cubic_Low m-3,<111>,0.84817392,-0.46580681
-6,S2,23,Cubic_Low m-3,<111>,0.84817392,-0.46580681
-6,S2,622,Hexagonal_High 6/mmm,<0001>,0.22294991,-0.22294991
-6,S2,622,Hexagonal_High 6/mmm,<0001>,0.22294991,-0.22294991
-6,S2,622,Hexagonal_High 6/mmm,<10-10>,-0.59873985,0.04687292
-6,S2,622,Hexagonal_High 6/mmm,<10-10>,-0.59873985,0.04687292
-6,S2,622,Hexagonal_High 6/mmm,<10-10>,-0.14878083,0.54202863
-6,S2,622,Hexagonal_High 6/mmm,<10-10>,-0.14878083,0.54202863
-6,S2,622,Hexagonal_High 6/mmm,<10-10>,0.62279896,0.71895801
-6,S2,622,Hexagonal_High 6/mmm,<10-10>,0.62279896,0.71895801
-6,S2,622,Hexagonal_High 6/mmm,<11-20>,-0.71285088,-0.31878850
-6,S2,622,Hexagonal_High 6/mmm,<11-20>,-0.71285088,-0.31878850
-6,S2,622,Hexagonal_High 6/mmm,<11-20>,-0.40642406,0.32798615
-6,S2,622,Hexagonal_High 6/mmm,<11-20>,-0.40642406,0.32798615
-6,S2,622,Hexagonal_High 6/mmm,<11-20>,0.18585277,0.68582873
-6,S2,622,Hexagonal_High 6/mmm,<11-20>,0.18585277,0.68582873
-6,S2,6,Hexagonal_Low 6/m,<0001>,0.22294991,-0.22294991
-6,S2,6,Hexagonal_Low 6/m,<0001>,0.22294991,-0.22294991
-6,S2,6,Hexagonal_Low 6/m,<10-10>,-0.59873985,0.04687292
-6,S2,6,Hexagonal_Low 6/m,<10-10>,-0.59873985,0.04687292
-6,S2,6,Hexagonal_Low 6/m,<10-10>,-0.14878083,0.54202863
-6,S2,6,Hexagonal_Low 6/m,<10-10>,-0.14878083,0.54202863
-6,S2,6,Hexagonal_Low 6/m,<10-10>,0.62279896,0.71895801
-6,S2,6,Hexagonal_Low 6/m,<10-10>,0.62279896,0.71895801
-6,S2,6,Hexagonal_Low 6/m,<11-20>,-0.71285088,-0.31878850
-6,S2,6,Hexagonal_Low 6/m,<11-20>,-0.71285088,-0.31878850
-6,S2,6,Hexagonal_Low 6/m,<11-20>,-0.40642406,0.32798615
-6,S2,6,Hexagonal_Low 6/m,<11-20>,-0.40642406,0.32798615
-6,S2,6,Hexagonal_Low 6/m,<11-20>,0.18585277,0.68582873
-6,S2,6,Hexagonal_Low 6/m,<11-20>,0.18585277,0.68582873
-6,S2,32,Trigonal_High -3m,<0001>,0.22294991,-0.22294991
-6,S2,32,Trigonal_High -3m,<0001>,0.22294991,-0.22294991
-6,S2,32,Trigonal_High -3m,<0-110>,-0.59873985,0.04687292
-6,S2,32,Trigonal_High -3m,<0-110>,-0.59873985,0.04687292
-6,S2,32,Trigonal_High -3m,<0-110>,-0.14878083,0.54202863
-6,S2,32,Trigonal_High -3m,<0-110>,-0.14878083,0.54202863
-6,S2,32,Trigonal_High -3m,<0-110>,0.62279896,0.71895801
-6,S2,32,Trigonal_High -3m,<0-110>,0.62279896,0.71895801
-6,S2,32,Trigonal_High -3m,<1-100>,-0.59873985,0.04687292
-6,S2,32,Trigonal_High -3m,<1-100>,-0.59873985,0.04687292
-6,S2,32,Trigonal_High -3m,<1-100>,-0.14878083,0.54202863
-6,S2,32,Trigonal_High -3m,<1-100>,-0.14878083,0.54202863
-6,S2,32,Trigonal_High -3m,<1-100>,0.62279896,0.71895801
-6,S2,32,Trigonal_High -3m,<1-100>,0.62279896,0.71895801
-6,S2,3,Trigonal_Low -3,<0001>,0.22294991,-0.22294991
-6,S2,3,Trigonal_Low -3,<0001>,0.22294991,-0.22294991
-6,S2,3,Trigonal_Low -3,<-1-120>,-0.71285088,-0.31878850
-6,S2,3,Trigonal_Low -3,<-1-120>,-0.71285088,-0.31878850
-6,S2,3,Trigonal_Low -3,<-1-120>,-0.40642406,0.32798615
-6,S2,3,Trigonal_Low -3,<-1-120>,-0.40642406,0.32798615
-6,S2,3,Trigonal_Low -3,<-1-120>,0.18585277,0.68582873
-6,S2,3,Trigonal_Low -3,<-1-120>,0.18585277,0.68582873
-6,S2,3,Trigonal_Low -3,<2-1-10>,-0.71285088,-0.31878850
-6,S2,3,Trigonal_Low -3,<2-1-10>,-0.71285088,-0.31878850
-6,S2,3,Trigonal_Low -3,<2-1-10>,-0.40642406,0.32798615
-6,S2,3,Trigonal_Low -3,<2-1-10>,-0.40642406,0.32798615
-6,S2,3,Trigonal_Low -3,<2-1-10>,0.18585277,0.68582873
-6,S2,3,Trigonal_Low -3,<2-1-10>,0.18585277,0.68582873
-6,S2,422,Tetragonal_High 4/mmm,<001>,0.22294991,-0.22294991
-6,S2,422,Tetragonal_High 4/mmm,<001>,0.22294991,-0.22294991
-6,S2,422,Tetragonal_High 4/mmm,<100>,-0.71285088,-0.31878850
-6,S2,422,Tetragonal_High 4/mmm,<100>,-0.71285088,-0.31878850
-6,S2,422,Tetragonal_High 4/mmm,<100>,-0.14878083,0.54202863
-6,S2,422,Tetragonal_High 4/mmm,<100>,-0.14878083,0.54202863
-6,S2,422,Tetragonal_High 4/mmm,<110>,-0.51081767,0.19652653
-6,S2,422,Tetragonal_High 4/mmm,<110>,-0.51081767,0.19652653
-6,S2,422,Tetragonal_High 4/mmm,<110>,0.38987231,0.72110759
-6,S2,422,Tetragonal_High 4/mmm,<110>,0.38987231,0.72110759
-6,S2,4,Tetragonal_Low 4/m,<001>,0.22294991,-0.22294991
-6,S2,4,Tetragonal_Low 4/m,<001>,0.22294991,-0.22294991
-6,S2,4,Tetragonal_Low 4/m,<100>,-0.71285088,-0.31878850
-6,S2,4,Tetragonal_Low 4/m,<100>,-0.71285088,-0.31878850
-6,S2,4,Tetragonal_Low 4/m,<100>,-0.14878083,0.54202863
-6,S2,4,Tetragonal_Low 4/m,<100>,-0.14878083,0.54202863
-6,S2,4,Tetragonal_Low 4/m,<110>,-0.51081767,0.19652653
-6,S2,4,Tetragonal_Low 4/m,<110>,-0.51081767,0.19652653
-6,S2,4,Tetragonal_Low 4/m,<110>,0.38987231,0.72110759
-6,S2,4,Tetragonal_Low 4/m,<110>,0.38987231,0.72110759
-6,S2,222,OrthoRhombic mmm,<001>,0.22294991,-0.22294991
-6,S2,222,OrthoRhombic mmm,<001>,0.22294991,-0.22294991
-6,S2,222,OrthoRhombic mmm,<100>,-0.14878083,0.54202863
-6,S2,222,OrthoRhombic mmm,<100>,-0.14878083,0.54202863
-6,S2,222,OrthoRhombic mmm,<010>,-0.71285088,-0.31878850
-6,S2,222,OrthoRhombic mmm,<010>,-0.71285088,-0.31878850
-6,S2,2,Monoclinic 2/m,<001>,0.22294991,-0.22294991
-6,S2,2,Monoclinic 2/m,<001>,0.22294991,-0.22294991
-6,S2,2,Monoclinic 2/m,<100>,-0.14878083,0.54202863
-6,S2,2,Monoclinic 2/m,<100>,-0.14878083,0.54202863
-6,S2,2,Monoclinic 2/m,<010>,-0.71285088,-0.31878850
-6,S2,2,Monoclinic 2/m,<010>,-0.71285088,-0.31878850
-6,S2,1,Triclinic -1,<001>,0.22294991,-0.22294991
-6,S2,1,Triclinic -1,<001>,0.22294991,-0.22294991
-6,S2,1,Triclinic -1,<100>,-0.14878083,0.54202863
-6,S2,1,Triclinic -1,<100>,-0.14878083,0.54202863
-6,S2,1,Triclinic -1,<010>,-0.71285088,-0.31878850
-6,S2,1,Triclinic -1,<010>,-0.71285088,-0.31878850
-7,R,432,Cubic_High m-3m,<001>,-0.23170848,-0.11285166
-7,R,432,Cubic_High m-3m,<001>,-0.23170848,-0.11285166
-7,R,432,Cubic_High m-3m,<001>,0.30551848,0.57174576
-7,R,432,Cubic_High m-3m,<001>,0.30551848,0.57174576
-7,R,432,Cubic_High m-3m,<001>,0.62855747,-0.44012068
-7,R,432,Cubic_High m-3m,<001>,0.62855747,-0.44012068
-7,R,432,Cubic_High m-3m,<011>,-0.60359455,0.16859556
-7,R,432,Cubic_High m-3m,<011>,-0.60359455,0.16859556
-7,R,432,Cubic_High m-3m,<011>,-0.45964639,-0.54043574
-7,R,432,Cubic_High m-3m,<011>,-0.45964639,-0.54043574
-7,R,432,Cubic_High m-3m,<011>,-0.23087789,0.86925308
-7,R,432,Cubic_High m-3m,<011>,-0.23087789,0.86925308
-7,R,432,Cubic_High m-3m,<011>,-0.00159962,0.21998851
-7,R,432,Cubic_High m-3m,<011>,-0.00159962,0.21998851
-7,R,432,Cubic_High m-3m,<011>,0.13996224,-0.30044719
-7,R,432,Cubic_High m-3m,<011>,0.13996224,-0.30044719
-7,R,432,Cubic_High m-3m,<011>,0.58689557,0.12065358
-7,R,432,Cubic_High m-3m,<011>,0.58689557,0.12065358
-7,R,432,Cubic_High m-3m,<111>,-0.85342957,-0.23847956
-7,R,432,Cubic_High m-3m,<111>,-0.85342957,-0.23847956
-7,R,432,Cubic_High m-3m,<111>,-0.28857146,0.41624290
-7,R,432,Cubic_High m-3m,<111>,-0.28857146,0.41624290
-7,R,432,Cubic_High m-3m,<111>,-0.02992118,-0.63904393
-7,R,432,Cubic_High m-3m,<111>,-0.02992118,-0.63904393
-7,R,432,Cubic_High m-3m,<111>,0.24031798,0.01205228
-7,R,432,Cubic_High m-3m,<111>,0.24031798,0.01205228
-7,R,23,Cubic_Low m-3,<001>,-0.23170848,-0.11285166
-7,R,23,Cubic_Low m-3,<001>,-0.23170848,-0.11285166
-7,R,23,Cubic_Low m-3,<001>,0.30551848,0.57174576
-7,R,23,Cubic_Low m-3,<001>,0.30551848,0.57174576
-7,R,23,Cubic_Low m-3,<001>,0.62855747,-0.44012068
-7,R,23,Cubic_Low m-3,<001>,0.62855747,-0.44012068
-7,R,23,Cubic_Low m-3,<011>,-0.60359455,0.16859556
-7,R,23,Cubic_Low m-3,<011>,-0.60359455,0.16859556
-7,R,23,Cubic_Low m-3,<011>,-0.45964639,-0.54043574
-7,R,23,Cubic_Low m-3,<011>,-0.45964639,-0.54043574
-7,R,23,Cubic_Low m-3,<011>,-0.23087789,0.86925308
-7,R,23,Cubic_Low m-3,<011>,-0.23087789,0.86925308
-7,R,23,Cubic_Low m-3,<011>,-0.00159962,0.21998851
-7,R,23,Cubic_Low m-3,<011>,-0.00159962,0.21998851
-7,R,23,Cubic_Low m-3,<011>,0.13996224,-0.30044719
-7,R,23,Cubic_Low m-3,<011>,0.13996224,-0.30044719
-7,R,23,Cubic_Low m-3,<011>,0.58689557,0.12065358
-7,R,23,Cubic_Low m-3,<011>,0.58689557,0.12065358
-7,R,23,Cubic_Low m-3,<111>,-0.85342957,-0.23847956
-7,R,23,Cubic_Low m-3,<111>,-0.85342957,-0.23847956
-7,R,23,Cubic_Low m-3,<111>,-0.28857146,0.41624290
-7,R,23,Cubic_Low m-3,<111>,-0.28857146,0.41624290
-7,R,23,Cubic_Low m-3,<111>,-0.02992118,-0.63904393
-7,R,23,Cubic_Low m-3,<111>,-0.02992118,-0.63904393
-7,R,23,Cubic_Low m-3,<111>,0.24031798,0.01205228
-7,R,23,Cubic_Low m-3,<111>,0.24031798,0.01205228
-7,R,622,Hexagonal_High 6/mmm,<0001>,0.62855747,-0.44012068
-7,R,622,Hexagonal_High 6/mmm,<0001>,0.62855747,-0.44012068
-7,R,622,Hexagonal_High 6/mmm,<10-10>,-0.38059150,-0.37699423
-7,R,622,Hexagonal_High 6/mmm,<10-10>,-0.38059150,-0.37699423
-7,R,622,Hexagonal_High 6/mmm,<10-10>,-0.08215818,0.11174997
-7,R,622,Hexagonal_High 6/mmm,<10-10>,-0.08215818,0.11174997
-7,R,622,Hexagonal_High 6/mmm,<10-10>,0.30551848,0.57174576
-7,R,622,Hexagonal_High 6/mmm,<10-10>,0.30551848,0.57174576
-7,R,622,Hexagonal_High 6/mmm,<11-20>,-0.54406891,-0.74073678
-7,R,622,Hexagonal_High 6/mmm,<11-20>,-0.54406891,-0.74073678
-7,R,622,Hexagonal_High 6/mmm,<11-20>,-0.23170848,-0.11285166
-7,R,622,Hexagonal_High 6/mmm,<11-20>,-0.23170848,-0.11285166
-7,R,622,Hexagonal_High 6/mmm,<11-20>,0.08671073,0.33019107
-7,R,622,Hexagonal_High 6/mmm,<11-20>,0.08671073,0.33019107
-7,R,6,Hexagonal_Low 6/m,<0001>,0.62855747,-0.44012068
-7,R,6,Hexagonal_Low 6/m,<0001>,0.62855747,-0.44012068
-7,R,6,Hexagonal_Low 6/m,<10-10>,-0.38059150,-0.37699423
-7,R,6,Hexagonal_Low 6/m,<10-10>,-0.38059150,-0.37699423
-7,R,6,Hexagonal_Low 6/m,<10-10>,-0.08215818,0.11174997
-7,R,6,Hexagonal_Low 6/m,<10-10>,-0.08215818,0.11174997
-7,R,6,Hexagonal_Low 6/m,<10-10>,0.30551848,0.57174576
-7,R,6,Hexagonal_Low 6/m,<10-10>,0.30551848,0.57174576
-7,R,6,Hexagonal_Low 6/m,<11-20>,-0.54406891,-0.74073678
-7,R,6,Hexagonal_Low 6/m,<11-20>,-0.54406891,-0.74073678
-7,R,6,Hexagonal_Low 6/m,<11-20>,-0.23170848,-0.11285166
-7,R,6,Hexagonal_Low 6/m,<11-20>,-0.23170848,-0.11285166
-7,R,6,Hexagonal_Low 6/m,<11-20>,0.08671073,0.33019107
-7,R,6,Hexagonal_Low 6/m,<11-20>,0.08671073,0.33019107
-7,R,32,Trigonal_High -3m,<0001>,0.62855747,-0.44012068
-7,R,32,Trigonal_High -3m,<0001>,0.62855747,-0.44012068
-7,R,32,Trigonal_High -3m,<0-110>,-0.38059150,-0.37699423
-7,R,32,Trigonal_High -3m,<0-110>,-0.38059150,-0.37699423
-7,R,32,Trigonal_High -3m,<0-110>,-0.08215818,0.11174997
-7,R,32,Trigonal_High -3m,<0-110>,-0.08215818,0.11174997
-7,R,32,Trigonal_High -3m,<0-110>,0.30551848,0.57174576
-7,R,32,Trigonal_High -3m,<0-110>,0.30551848,0.57174576
-7,R,32,Trigonal_High -3m,<1-100>,-0.38059150,-0.37699423
-7,R,32,Trigonal_High -3m,<1-100>,-0.38059150,-0.37699423
-7,R,32,Trigonal_High -3m,<1-100>,-0.08215818,0.11174997
-7,R,32,Trigonal_High -3m,<1-100>,-0.08215818,0.11174997
-7,R,32,Trigonal_High -3m,<1-100>,0.30551848,0.57174576
-7,R,32,Trigonal_High -3m,<1-100>,0.30551848,0.57174576
-7,R,3,Trigonal_Low -3,<0001>,0.62855747,-0.44012068
-7,R,3,Trigonal_Low -3,<0001>,0.62855747,-0.44012068
-7,R,3,Trigonal_Low -3,<-1-120>,-0.54406891,-0.74073678
-7,R,3,Trigonal_Low -3,<-1-120>,-0.54406891,-0.74073678
-7,R,3,Trigonal_Low -3,<-1-120>,-0.23170848,-0.11285166
-7,R,3,Trigonal_Low -3,<-1-120>,-0.23170848,-0.11285166
-7,R,3,Trigonal_Low -3,<-1-120>,0.08671073,0.33019107
-7,R,3,Trigonal_Low -3,<-1-120>,0.08671073,0.33019107
-7,R,3,Trigonal_Low -3,<2-1-10>,-0.54406891,-0.74073678
-7,R,3,Trigonal_Low -3,<2-1-10>,-0.54406891,-0.74073678
-7,R,3,Trigonal_Low -3,<2-1-10>,-0.23170848,-0.11285166
-7,R,3,Trigonal_Low -3,<2-1-10>,-0.23170848,-0.11285166
-7,R,3,Trigonal_Low -3,<2-1-10>,0.08671073,0.33019107
-7,R,3,Trigonal_Low -3,<2-1-10>,0.08671073,0.33019107
-7,R,422,Tetragonal_High 4/mmm,<001>,0.62855747,-0.44012068
-7,R,422,Tetragonal_High 4/mmm,<001>,0.62855747,-0.44012068
-7,R,422,Tetragonal_High 4/mmm,<100>,-0.23170848,-0.11285166
-7,R,422,Tetragonal_High 4/mmm,<100>,-0.23170848,-0.11285166
-7,R,422,Tetragonal_High 4/mmm,<100>,0.30551848,0.57174576
-7,R,422,Tetragonal_High 4/mmm,<100>,0.30551848,0.57174576
-7,R,422,Tetragonal_High 4/mmm,<110>,-0.45964639,-0.54043574
-7,R,422,Tetragonal_High 4/mmm,<110>,-0.45964639,-0.54043574
-7,R,422,Tetragonal_High 4/mmm,<110>,-0.00159962,0.21998851
-7,R,422,Tetragonal_High 4/mmm,<110>,-0.00159962,0.21998851
-7,R,4,Tetragonal_Low 4/m,<001>,0.62855747,-0.44012068
-7,R,4,Tetragonal_Low 4/m,<001>,0.62855747,-0.44012068
-7,R,4,Tetragonal_Low 4/m,<100>,-0.23170848,-0.11285166
-7,R,4,Tetragonal_Low 4/m,<100>,-0.23170848,-0.11285166
-7,R,4,Tetragonal_Low 4/m,<100>,0.30551848,0.57174576
-7,R,4,Tetragonal_Low 4/m,<100>,0.30551848,0.57174576
-7,R,4,Tetragonal_Low 4/m,<110>,-0.45964639,-0.54043574
-7,R,4,Tetragonal_Low 4/m,<110>,-0.45964639,-0.54043574
-7,R,4,Tetragonal_Low 4/m,<110>,-0.00159962,0.21998851
-7,R,4,Tetragonal_Low 4/m,<110>,-0.00159962,0.21998851
-7,R,222,OrthoRhombic mmm,<001>,0.62855747,-0.44012068
-7,R,222,OrthoRhombic mmm,<001>,0.62855747,-0.44012068
-7,R,222,OrthoRhombic mmm,<100>,0.30551848,0.57174576
-7,R,222,OrthoRhombic mmm,<100>,0.30551848,0.57174576
-7,R,222,OrthoRhombic mmm,<010>,-0.23170848,-0.11285166
-7,R,222,OrthoRhombic mmm,<010>,-0.23170848,-0.11285166
-7,R,2,Monoclinic 2/m,<001>,0.62855747,-0.44012068
-7,R,2,Monoclinic 2/m,<001>,0.62855747,-0.44012068
-7,R,2,Monoclinic 2/m,<100>,0.30551848,0.57174576
-7,R,2,Monoclinic 2/m,<100>,0.30551848,0.57174576
-7,R,2,Monoclinic 2/m,<010>,-0.23170848,-0.11285166
-7,R,2,Monoclinic 2/m,<010>,-0.23170848,-0.11285166
-7,R,1,Triclinic -1,<001>,0.62855747,-0.44012068
-7,R,1,Triclinic -1,<001>,0.62855747,-0.44012068
-7,R,1,Triclinic -1,<100>,0.30551848,0.57174576
-7,R,1,Triclinic -1,<100>,0.30551848,0.57174576
-7,R,1,Triclinic -1,<010>,-0.23170848,-0.11285166
-7,R,1,Triclinic -1,<010>,-0.23170848,-0.11285166
-8,RC_rd1,432,Cubic_High m-3m,<001>,-0.00000000,-0.17632698
-8,RC_rd1,432,Cubic_High m-3m,<001>,-0.00000000,-0.17632698
-8,RC_rd1,432,Cubic_High m-3m,<001>,0.00000000,0.70020754
-8,RC_rd1,432,Cubic_High m-3m,<001>,0.00000000,0.70020754
-8,RC_rd1,432,Cubic_High m-3m,<001>,1.00000000,0.00000000
-8,RC_rd1,432,Cubic_High m-3m,<001>,1.00000000,0.00000000
-8,RC_rd1,432,Cubic_High m-3m,<011>,-0.56940030,0.53506126
-8,RC_rd1,432,Cubic_High m-3m,<011>,-0.56940030,0.53506126
-8,RC_rd1,432,Cubic_High m-3m,<011>,-0.42482577,-0.14529897
-8,RC_rd1,432,Cubic_High m-3m,<011>,-0.42482577,-0.14529897
-8,RC_rd1,432,Cubic_High m-3m,<011>,-0.00000000,-0.63707026
-8,RC_rd1,432,Cubic_High m-3m,<011>,-0.00000000,-0.63707026
-8,RC_rd1,432,Cubic_High m-3m,<011>,-0.00000000,0.22169466
-8,RC_rd1,432,Cubic_High m-3m,<011>,-0.00000000,0.22169466
-8,RC_rd1,432,Cubic_High m-3m,<011>,0.42482577,-0.14529897
-8,RC_rd1,432,Cubic_High m-3m,<011>,0.42482577,-0.14529897
-8,RC_rd1,432,Cubic_High m-3m,<011>,0.56940030,0.53506126
-8,RC_rd1,432,Cubic_High m-3m,<011>,0.56940030,0.53506126
-8,RC_rd1,432,Cubic_High m-3m,<111>,-0.42923553,-0.55015665
-8,RC_rd1,432,Cubic_High m-3m,<111>,-0.42923553,-0.55015665
-8,RC_rd1,432,Cubic_High m-3m,<111>,-0.33181103,0.19831432
-8,RC_rd1,432,Cubic_High m-3m,<111>,-0.33181103,0.19831432
-8,RC_rd1,432,Cubic_High m-3m,<111>,0.33181103,0.19831432
-8,RC_rd1,432,Cubic_High m-3m,<111>,0.33181103,0.19831432
-8,RC_rd1,432,Cubic_High m-3m,<111>,0.42923553,-0.55015665
-8,RC_rd1,432,Cubic_High m-3m,<111>,0.42923553,-0.55015665
-8,RC_rd1,23,Cubic_Low m-3,<001>,-0.00000000,-0.17632698
-8,RC_rd1,23,Cubic_Low m-3,<001>,-0.00000000,-0.17632698
-8,RC_rd1,23,Cubic_Low m-3,<001>,0.00000000,0.70020754
-8,RC_rd1,23,Cubic_Low m-3,<001>,0.00000000,0.70020754
-8,RC_rd1,23,Cubic_Low m-3,<001>,1.00000000,0.00000000
-8,RC_rd1,23,Cubic_Low m-3,<001>,1.00000000,0.00000000
-8,RC_rd1,23,Cubic_Low m-3,<011>,-0.56940030,0.53506126
-8,RC_rd1,23,Cubic_Low m-3,<011>,-0.56940030,0.53506126
-8,RC_rd1,23,Cubic_Low m-3,<011>,-0.42482577,-0.14529897
-8,RC_rd1,23,Cubic_Low m-3,<011>,-0.42482577,-0.14529897
-8,RC_rd1,23,Cubic_Low m-3,<011>,0.00000000,-0.63707026
-8,RC_rd1,23,Cubic_Low m-3,<011>,0.00000000,-0.63707026
-8,RC_rd1,23,Cubic_Low m-3,<011>,-0.00000000,0.22169466
-8,RC_rd1,23,Cubic_Low m-3,<011>,-0.00000000,0.22169466
-8,RC_rd1,23,Cubic_Low m-3,<011>,0.42482577,-0.14529897
-8,RC_rd1,23,Cubic_Low m-3,<011>,0.42482577,-0.14529897
-8,RC_rd1,23,Cubic_Low m-3,<011>,0.56940030,0.53506126
-8,RC_rd1,23,Cubic_Low m-3,<011>,0.56940030,0.53506126
-8,RC_rd1,23,Cubic_Low m-3,<111>,-0.42923553,-0.55015665
-8,RC_rd1,23,Cubic_Low m-3,<111>,-0.42923553,-0.55015665
-8,RC_rd1,23,Cubic_Low m-3,<111>,-0.33181103,0.19831432
-8,RC_rd1,23,Cubic_Low m-3,<111>,-0.33181103,0.19831432
-8,RC_rd1,23,Cubic_Low m-3,<111>,0.33181103,0.19831432
-8,RC_rd1,23,Cubic_Low m-3,<111>,0.33181103,0.19831432
-8,RC_rd1,23,Cubic_Low m-3,<111>,0.42923553,-0.55015665
-8,RC_rd1,23,Cubic_Low m-3,<111>,0.42923553,-0.55015665
-8,RC_rd1,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.17632698
-8,RC_rd1,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.17632698
-8,RC_rd1,622,Hexagonal_High 6/mmm,<10-10>,-0.38574350,0.62783433
-8,RC_rd1,622,Hexagonal_High 6/mmm,<10-10>,-0.38574350,0.62783433
-8,RC_rd1,622,Hexagonal_High 6/mmm,<10-10>,0.38574350,0.62783433
-8,RC_rd1,622,Hexagonal_High 6/mmm,<10-10>,0.38574350,0.62783433
-8,RC_rd1,622,Hexagonal_High 6/mmm,<10-10>,1.00000000,0.00000000
-8,RC_rd1,622,Hexagonal_High 6/mmm,<10-10>,1.00000000,0.00000000
-8,RC_rd1,622,Hexagonal_High 6/mmm,<11-20>,-0.73955419,0.40123166
-8,RC_rd1,622,Hexagonal_High 6/mmm,<11-20>,-0.73955419,0.40123166
-8,RC_rd1,622,Hexagonal_High 6/mmm,<11-20>,-0.00000000,0.70020754
-8,RC_rd1,622,Hexagonal_High 6/mmm,<11-20>,-0.00000000,0.70020754
-8,RC_rd1,622,Hexagonal_High 6/mmm,<11-20>,0.73955419,0.40123166
-8,RC_rd1,622,Hexagonal_High 6/mmm,<11-20>,0.73955419,0.40123166
-8,RC_rd1,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.17632698
-8,RC_rd1,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.17632698
-8,RC_rd1,6,Hexagonal_Low 6/m,<10-10>,-0.38574350,0.62783433
-8,RC_rd1,6,Hexagonal_Low 6/m,<10-10>,-0.38574350,0.62783433
-8,RC_rd1,6,Hexagonal_Low 6/m,<10-10>,0.38574350,0.62783433
-8,RC_rd1,6,Hexagonal_Low 6/m,<10-10>,0.38574350,0.62783433
-8,RC_rd1,6,Hexagonal_Low 6/m,<10-10>,1.00000000,0.00000000
-8,RC_rd1,6,Hexagonal_Low 6/m,<10-10>,1.00000000,0.00000000
-8,RC_rd1,6,Hexagonal_Low 6/m,<11-20>,-0.73955419,0.40123166
-8,RC_rd1,6,Hexagonal_Low 6/m,<11-20>,-0.73955419,0.40123166
-8,RC_rd1,6,Hexagonal_Low 6/m,<11-20>,-0.00000000,0.70020754
-8,RC_rd1,6,Hexagonal_Low 6/m,<11-20>,-0.00000000,0.70020754
-8,RC_rd1,6,Hexagonal_Low 6/m,<11-20>,0.73955419,0.40123166
-8,RC_rd1,6,Hexagonal_Low 6/m,<11-20>,0.73955419,0.40123166
-8,RC_rd1,32,Trigonal_High -3m,<0001>,-0.00000000,-0.17632698
-8,RC_rd1,32,Trigonal_High -3m,<0001>,-0.00000000,-0.17632698
-8,RC_rd1,32,Trigonal_High -3m,<0-110>,-0.38574350,0.62783433
-8,RC_rd1,32,Trigonal_High -3m,<0-110>,-0.38574350,0.62783433
-8,RC_rd1,32,Trigonal_High -3m,<0-110>,0.38574350,0.62783433
-8,RC_rd1,32,Trigonal_High -3m,<0-110>,0.38574350,0.62783433
-8,RC_rd1,32,Trigonal_High -3m,<0-110>,1.00000000,0.00000000
-8,RC_rd1,32,Trigonal_High -3m,<0-110>,1.00000000,0.00000000
-8,RC_rd1,32,Trigonal_High -3m,<1-100>,-0.38574350,0.62783433
-8,RC_rd1,32,Trigonal_High -3m,<1-100>,-0.38574350,0.62783433
-8,RC_rd1,32,Trigonal_High -3m,<1-100>,0.38574350,0.62783433
-8,RC_rd1,32,Trigonal_High -3m,<1-100>,0.38574350,0.62783433
-8,RC_rd1,32,Trigonal_High -3m,<1-100>,1.00000000,0.00000000
-8,RC_rd1,32,Trigonal_High -3m,<1-100>,1.00000000,0.00000000
-8,RC_rd1,3,Trigonal_Low -3,<0001>,-0.00000000,-0.17632698
-8,RC_rd1,3,Trigonal_Low -3,<0001>,-0.00000000,-0.17632698
-8,RC_rd1,3,Trigonal_Low -3,<-1-120>,-0.73955419,0.40123166
-8,RC_rd1,3,Trigonal_Low -3,<-1-120>,-0.73955419,0.40123166
-8,RC_rd1,3,Trigonal_Low -3,<-1-120>,0.00000000,0.70020754
-8,RC_rd1,3,Trigonal_Low -3,<-1-120>,0.00000000,0.70020754
-8,RC_rd1,3,Trigonal_Low -3,<-1-120>,0.73955419,0.40123166
-8,RC_rd1,3,Trigonal_Low -3,<-1-120>,0.73955419,0.40123166
-8,RC_rd1,3,Trigonal_Low -3,<2-1-10>,-0.73955419,0.40123166
-8,RC_rd1,3,Trigonal_Low -3,<2-1-10>,-0.73955419,0.40123166
-8,RC_rd1,3,Trigonal_Low -3,<2-1-10>,0.00000000,0.70020754
-8,RC_rd1,3,Trigonal_Low -3,<2-1-10>,0.00000000,0.70020754
-8,RC_rd1,3,Trigonal_Low -3,<2-1-10>,0.73955419,0.40123166
-8,RC_rd1,3,Trigonal_Low -3,<2-1-10>,0.73955419,0.40123166
-8,RC_rd1,422,Tetragonal_High 4/mmm,<001>,-0.00000000,-0.17632698
-8,RC_rd1,422,Tetragonal_High 4/mmm,<001>,-0.00000000,-0.17632698
-8,RC_rd1,422,Tetragonal_High 4/mmm,<100>,0.00000000,0.70020754
-8,RC_rd1,422,Tetragonal_High 4/mmm,<100>,0.00000000,0.70020754
-8,RC_rd1,422,Tetragonal_High 4/mmm,<100>,1.00000000,0.00000000
-8,RC_rd1,422,Tetragonal_High 4/mmm,<100>,1.00000000,0.00000000
-8,RC_rd1,422,Tetragonal_High 4/mmm,<110>,-0.56940030,0.53506126
-8,RC_rd1,422,Tetragonal_High 4/mmm,<110>,-0.56940030,0.53506126
-8,RC_rd1,422,Tetragonal_High 4/mmm,<110>,0.56940030,0.53506126
-8,RC_rd1,422,Tetragonal_High 4/mmm,<110>,0.56940030,0.53506126
-8,RC_rd1,4,Tetragonal_Low 4/m,<001>,-0.00000000,-0.17632698
-8,RC_rd1,4,Tetragonal_Low 4/m,<001>,-0.00000000,-0.17632698
-8,RC_rd1,4,Tetragonal_Low 4/m,<100>,0.00000000,0.70020754
-8,RC_rd1,4,Tetragonal_Low 4/m,<100>,0.00000000,0.70020754
-8,RC_rd1,4,Tetragonal_Low 4/m,<100>,1.00000000,0.00000000
-8,RC_rd1,4,Tetragonal_Low 4/m,<100>,1.00000000,0.00000000
-8,RC_rd1,4,Tetragonal_Low 4/m,<110>,-0.56940030,0.53506126
-8,RC_rd1,4,Tetragonal_Low 4/m,<110>,-0.56940030,0.53506126
-8,RC_rd1,4,Tetragonal_Low 4/m,<110>,0.56940030,0.53506126
-8,RC_rd1,4,Tetragonal_Low 4/m,<110>,0.56940030,0.53506126
-8,RC_rd1,222,OrthoRhombic mmm,<001>,-0.00000000,-0.17632698
-8,RC_rd1,222,OrthoRhombic mmm,<001>,-0.00000000,-0.17632698
-8,RC_rd1,222,OrthoRhombic mmm,<100>,1.00000000,0.00000000
-8,RC_rd1,222,OrthoRhombic mmm,<100>,1.00000000,0.00000000
-8,RC_rd1,222,OrthoRhombic mmm,<010>,-0.00000000,0.70020754
-8,RC_rd1,222,OrthoRhombic mmm,<010>,-0.00000000,0.70020754
-8,RC_rd1,2,Monoclinic 2/m,<001>,-0.00000000,-0.17632698
-8,RC_rd1,2,Monoclinic 2/m,<001>,-0.00000000,-0.17632698
-8,RC_rd1,2,Monoclinic 2/m,<100>,1.00000000,0.00000000
-8,RC_rd1,2,Monoclinic 2/m,<100>,1.00000000,0.00000000
-8,RC_rd1,2,Monoclinic 2/m,<010>,-0.00000000,0.70020754
-8,RC_rd1,2,Monoclinic 2/m,<010>,-0.00000000,0.70020754
-8,RC_rd1,1,Triclinic -1,<001>,-0.00000000,-0.17632698
-8,RC_rd1,1,Triclinic -1,<001>,-0.00000000,-0.17632698
-8,RC_rd1,1,Triclinic -1,<100>,1.00000000,0.00000000
-8,RC_rd1,1,Triclinic -1,<100>,1.00000000,0.00000000
-8,RC_rd1,1,Triclinic -1,<010>,-0.00000000,0.70020754
-8,RC_rd1,1,Triclinic -1,<010>,-0.00000000,0.70020754
-9,RC_rd2,432,Cubic_High m-3m,<001>,0.00000000,-0.31529879
-9,RC_rd2,432,Cubic_High m-3m,<001>,0.00000000,-0.31529879
-9,RC_rd2,432,Cubic_High m-3m,<001>,-0.00000000,0.52056705
-9,RC_rd2,432,Cubic_High m-3m,<001>,-0.00000000,0.52056705
-9,RC_rd2,432,Cubic_High m-3m,<001>,1.00000000,0.00000000
-9,RC_rd2,432,Cubic_High m-3m,<001>,1.00000000,0.00000000
-9,RC_rd2,432,Cubic_High m-3m,<011>,-0.50307125,0.41209184
-9,RC_rd2,432,Cubic_High m-3m,<011>,-0.50307125,0.41209184
-9,RC_rd2,432,Cubic_High m-3m,<011>,-0.44775472,-0.25682156
-9,RC_rd2,432,Cubic_High m-3m,<011>,-0.44775472,-0.25682156
-9,RC_rd2,432,Cubic_High m-3m,<011>,-0.00000000,-0.83909963
-9,RC_rd2,432,Cubic_High m-3m,<011>,-0.00000000,-0.83909963
-9,RC_rd2,432,Cubic_High m-3m,<011>,-0.00000000,0.08748866
-9,RC_rd2,432,Cubic_High m-3m,<011>,-0.00000000,0.08748866
-9,RC_rd2,432,Cubic_High m-3m,<011>,0.44775472,-0.25682156
-9,RC_rd2,432,Cubic_High m-3m,<011>,0.44775472,-0.25682156
-9,RC_rd2,432,Cubic_High m-3m,<011>,0.50307125,0.41209184
-9,RC_rd2,432,Cubic_High m-3m,<011>,0.50307125,0.41209184
-9,RC_rd2,432,Cubic_High m-3m,<111>,-0.50565668,-0.70424245
-9,RC_rd2,432,Cubic_High m-3m,<111>,-0.50565668,-0.70424245
-9,RC_rd2,432,Cubic_High m-3m,<111>,-0.32002260,0.07858975
-9,RC_rd2,432,Cubic_High m-3m,<111>,-0.32002260,0.07858975
-9,RC_rd2,432,Cubic_High m-3m,<111>,0.32002260,0.07858975
-9,RC_rd2,432,Cubic_High m-3m,<111>,0.32002260,0.07858975
-9,RC_rd2,432,Cubic_High m-3m,<111>,0.50565668,-0.70424245
-9,RC_rd2,432,Cubic_High m-3m,<111>,0.50565668,-0.70424245
-9,RC_rd2,23,Cubic_Low m-3,<001>,0.00000000,-0.31529879
-9,RC_rd2,23,Cubic_Low m-3,<001>,0.00000000,-0.31529879
-9,RC_rd2,23,Cubic_Low m-3,<001>,-0.00000000,0.52056705
-9,RC_rd2,23,Cubic_Low m-3,<001>,-0.00000000,0.52056705
-9,RC_rd2,23,Cubic_Low m-3,<001>,1.00000000,0.00000000
-9,RC_rd2,23,Cubic_Low m-3,<001>,1.00000000,0.00000000
-9,RC_rd2,23,Cubic_Low m-3,<011>,-0.50307125,0.41209184
-9,RC_rd2,23,Cubic_Low m-3,<011>,-0.50307125,0.41209184
-9,RC_rd2,23,Cubic_Low m-3,<011>,-0.44775472,-0.25682156
-9,RC_rd2,23,Cubic_Low m-3,<011>,-0.44775472,-0.25682156
-9,RC_rd2,23,Cubic_Low m-3,<011>,0.00000000,-0.83909963
-9,RC_rd2,23,Cubic_Low m-3,<011>,0.00000000,-0.83909963
-9,RC_rd2,23,Cubic_Low m-3,<011>,-0.00000000,0.08748866
-9,RC_rd2,23,Cubic_Low m-3,<011>,-0.00000000,0.08748866
-9,RC_rd2,23,Cubic_Low m-3,<011>,0.44775472,-0.25682156
-9,RC_rd2,23,Cubic_Low m-3,<011>,0.44775472,-0.25682156
-9,RC_rd2,23,Cubic_Low m-3,<011>,0.50307125,0.41209184
-9,RC_rd2,23,Cubic_Low m-3,<011>,0.50307125,0.41209184
-9,RC_rd2,23,Cubic_Low m-3,<111>,-0.50565668,-0.70424245
-9,RC_rd2,23,Cubic_Low m-3,<111>,-0.50565668,-0.70424245
-9,RC_rd2,23,Cubic_Low m-3,<111>,-0.32002260,0.07858975
-9,RC_rd2,23,Cubic_Low m-3,<111>,-0.32002260,0.07858975
-9,RC_rd2,23,Cubic_Low m-3,<111>,0.32002260,0.07858975
-9,RC_rd2,23,Cubic_Low m-3,<111>,0.32002260,0.07858975
-9,RC_rd2,23,Cubic_Low m-3,<111>,0.50565668,-0.70424245
-9,RC_rd2,23,Cubic_Low m-3,<111>,0.50565668,-0.70424245
-9,RC_rd2,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.31529879
-9,RC_rd2,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.31529879
-9,RC_rd2,622,Hexagonal_High 6/mmm,<10-10>,-0.33406119,0.47397035
-9,RC_rd2,622,Hexagonal_High 6/mmm,<10-10>,-0.33406119,0.47397035
-9,RC_rd2,622,Hexagonal_High 6/mmm,<10-10>,0.33406119,0.47397035
-9,RC_rd2,622,Hexagonal_High 6/mmm,<10-10>,0.33406119,0.47397035
-9,RC_rd2,622,Hexagonal_High 6/mmm,<10-10>,1.00000000,0.00000000
-9,RC_rd2,622,Hexagonal_High 6/mmm,<10-10>,1.00000000,0.00000000
-9,RC_rd2,622,Hexagonal_High 6/mmm,<11-20>,-0.67301316,0.31829326
-9,RC_rd2,622,Hexagonal_High 6/mmm,<11-20>,-0.67301316,0.31829326
-9,RC_rd2,622,Hexagonal_High 6/mmm,<11-20>,-0.00000000,0.52056705
-9,RC_rd2,622,Hexagonal_High 6/mmm,<11-20>,-0.00000000,0.52056705
-9,RC_rd2,622,Hexagonal_High 6/mmm,<11-20>,0.67301316,0.31829326
-9,RC_rd2,622,Hexagonal_High 6/mmm,<11-20>,0.67301316,0.31829326
-9,RC_rd2,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.31529879
-9,RC_rd2,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.31529879
-9,RC_rd2,6,Hexagonal_Low 6/m,<10-10>,-0.33406119,0.47397035
-9,RC_rd2,6,Hexagonal_Low 6/m,<10-10>,-0.33406119,0.47397035
-9,RC_rd2,6,Hexagonal_Low 6/m,<10-10>,0.33406119,0.47397035
-9,RC_rd2,6,Hexagonal_Low 6/m,<10-10>,0.33406119,0.47397035
-9,RC_rd2,6,Hexagonal_Low 6/m,<10-10>,1.00000000,0.00000000
-9,RC_rd2,6,Hexagonal_Low 6/m,<10-10>,1.00000000,0.00000000
-9,RC_rd2,6,Hexagonal_Low 6/m,<11-20>,-0.67301316,0.31829326
-9,RC_rd2,6,Hexagonal_Low 6/m,<11-20>,-0.67301316,0.31829326
-9,RC_rd2,6,Hexagonal_Low 6/m,<11-20>,-0.00000000,0.52056705
-9,RC_rd2,6,Hexagonal_Low 6/m,<11-20>,-0.00000000,0.52056705
-9,RC_rd2,6,Hexagonal_Low 6/m,<11-20>,0.67301316,0.31829326
-9,RC_rd2,6,Hexagonal_Low 6/m,<11-20>,0.67301316,0.31829326
-9,RC_rd2,32,Trigonal_High -3m,<0001>,-0.00000000,-0.31529879
-9,RC_rd2,32,Trigonal_High -3m,<0001>,-0.00000000,-0.31529879
-9,RC_rd2,32,Trigonal_High -3m,<0-110>,-0.33406119,0.47397035
-9,RC_rd2,32,Trigonal_High -3m,<0-110>,-0.33406119,0.47397035
-9,RC_rd2,32,Trigonal_High -3m,<0-110>,0.33406119,0.47397035
-9,RC_rd2,32,Trigonal_High -3m,<0-110>,0.33406119,0.47397035
-9,RC_rd2,32,Trigonal_High -3m,<0-110>,1.00000000,0.00000000
-9,RC_rd2,32,Trigonal_High -3m,<0-110>,1.00000000,0.00000000
-9,RC_rd2,32,Trigonal_High -3m,<1-100>,-0.33406119,0.47397035
-9,RC_rd2,32,Trigonal_High -3m,<1-100>,-0.33406119,0.47397035
-9,RC_rd2,32,Trigonal_High -3m,<1-100>,0.33406119,0.47397035
-9,RC_rd2,32,Trigonal_High -3m,<1-100>,0.33406119,0.47397035
-9,RC_rd2,32,Trigonal_High -3m,<1-100>,1.00000000,0.00000000
-9,RC_rd2,32,Trigonal_High -3m,<1-100>,1.00000000,0.00000000
-9,RC_rd2,3,Trigonal_Low -3,<0001>,-0.00000000,-0.31529879
-9,RC_rd2,3,Trigonal_Low -3,<0001>,-0.00000000,-0.31529879
-9,RC_rd2,3,Trigonal_Low -3,<-1-120>,-0.67301316,0.31829326
-9,RC_rd2,3,Trigonal_Low -3,<-1-120>,-0.67301316,0.31829326
-9,RC_rd2,3,Trigonal_Low -3,<-1-120>,-0.00000000,0.52056705
-9,RC_rd2,3,Trigonal_Low -3,<-1-120>,-0.00000000,0.52056705
-9,RC_rd2,3,Trigonal_Low -3,<-1-120>,0.67301316,0.31829326
-9,RC_rd2,3,Trigonal_Low -3,<-1-120>,0.67301316,0.31829326
-9,RC_rd2,3,Trigonal_Low -3,<2-1-10>,-0.67301316,0.31829326
-9,RC_rd2,3,Trigonal_Low -3,<2-1-10>,-0.67301316,0.31829326
-9,RC_rd2,3,Trigonal_Low -3,<2-1-10>,-0.00000000,0.52056705
-9,RC_rd2,3,Trigonal_Low -3,<2-1-10>,-0.00000000,0.52056705
-9,RC_rd2,3,Trigonal_Low -3,<2-1-10>,0.67301316,0.31829326
-9,RC_rd2,3,Trigonal_Low -3,<2-1-10>,0.67301316,0.31829326
-9,RC_rd2,422,Tetragonal_High 4/mmm,<001>,0.00000000,-0.31529879
-9,RC_rd2,422,Tetragonal_High 4/mmm,<001>,0.00000000,-0.31529879
-9,RC_rd2,422,Tetragonal_High 4/mmm,<100>,-0.00000000,0.52056705
-9,RC_rd2,422,Tetragonal_High 4/mmm,<100>,-0.00000000,0.52056705
-9,RC_rd2,422,Tetragonal_High 4/mmm,<100>,1.00000000,0.00000000
-9,RC_rd2,422,Tetragonal_High 4/mmm,<100>,1.00000000,0.00000000
-9,RC_rd2,422,Tetragonal_High 4/mmm,<110>,-0.50307125,0.41209184
-9,RC_rd2,422,Tetragonal_High 4/mmm,<110>,-0.50307125,0.41209184
-9,RC_rd2,422,Tetragonal_High 4/mmm,<110>,0.50307125,0.41209184
-9,RC_rd2,422,Tetragonal_High 4/mmm,<110>,0.50307125,0.41209184
-9,RC_rd2,4,Tetragonal_Low 4/m,<001>,0.00000000,-0.31529879
-9,RC_rd2,4,Tetragonal_Low 4/m,<001>,0.00000000,-0.31529879
-9,RC_rd2,4,Tetragonal_Low 4/m,<100>,-0.00000000,0.52056705
-9,RC_rd2,4,Tetragonal_Low 4/m,<100>,-0.00000000,0.52056705
-9,RC_rd2,4,Tetragonal_Low 4/m,<100>,1.00000000,0.00000000
-9,RC_rd2,4,Tetragonal_Low 4/m,<100>,1.00000000,0.00000000
-9,RC_rd2,4,Tetragonal_Low 4/m,<110>,-0.50307125,0.41209184
-9,RC_rd2,4,Tetragonal_Low 4/m,<110>,-0.50307125,0.41209184
-9,RC_rd2,4,Tetragonal_Low 4/m,<110>,0.50307125,0.41209184
-9,RC_rd2,4,Tetragonal_Low 4/m,<110>,0.50307125,0.41209184
-9,RC_rd2,222,OrthoRhombic mmm,<001>,0.00000000,-0.31529879
-9,RC_rd2,222,OrthoRhombic mmm,<001>,0.00000000,-0.31529879
-9,RC_rd2,222,OrthoRhombic mmm,<100>,1.00000000,0.00000000
-9,RC_rd2,222,OrthoRhombic mmm,<100>,1.00000000,0.00000000
-9,RC_rd2,222,OrthoRhombic mmm,<010>,-0.00000000,0.52056705
-9,RC_rd2,222,OrthoRhombic mmm,<010>,-0.00000000,0.52056705
-9,RC_rd2,2,Monoclinic 2/m,<001>,0.00000000,-0.31529879
-9,RC_rd2,2,Monoclinic 2/m,<001>,0.00000000,-0.31529879
-9,RC_rd2,2,Monoclinic 2/m,<100>,1.00000000,0.00000000
-9,RC_rd2,2,Monoclinic 2/m,<100>,1.00000000,0.00000000
-9,RC_rd2,2,Monoclinic 2/m,<010>,-0.00000000,0.52056705
-9,RC_rd2,2,Monoclinic 2/m,<010>,-0.00000000,0.52056705
-9,RC_rd2,1,Triclinic -1,<001>,0.00000000,-0.31529879
-9,RC_rd2,1,Triclinic -1,<001>,0.00000000,-0.31529879
-9,RC_rd2,1,Triclinic -1,<100>,1.00000000,0.00000000
-9,RC_rd2,1,Triclinic -1,<100>,1.00000000,0.00000000
-9,RC_rd2,1,Triclinic -1,<010>,-0.00000000,0.52056705
-9,RC_rd2,1,Triclinic -1,<010>,-0.00000000,0.52056705
-10,RC_nd1,432,Cubic_High m-3m,<001>,-0.00000000,-0.00000000
-10,RC_nd1,432,Cubic_High m-3m,<001>,-0.00000000,-0.00000000
-10,RC_nd1,432,Cubic_High m-3m,<001>,0.34202014,-0.93969262
-10,RC_nd1,432,Cubic_High m-3m,<001>,0.34202014,-0.93969262
-10,RC_nd1,432,Cubic_High m-3m,<001>,0.93969262,0.34202014
-10,RC_nd1,432,Cubic_High m-3m,<001>,0.93969262,0.34202014
-10,RC_nd1,432,Cubic_High m-3m,<011>,-0.38923343,-0.14166938
-10,RC_nd1,432,Cubic_High m-3m,<011>,-0.38923343,-0.14166938
-10,RC_nd1,432,Cubic_High m-3m,<011>,-0.14166938,0.38923343
-10,RC_nd1,432,Cubic_High m-3m,<011>,-0.14166938,0.38923343
-10,RC_nd1,432,Cubic_High m-3m,<011>,0.14166938,-0.38923343
-10,RC_nd1,432,Cubic_High m-3m,<011>,0.14166938,-0.38923343
-10,RC_nd1,432,Cubic_High m-3m,<011>,0.38923343,0.14166938
-10,RC_nd1,432,Cubic_High m-3m,<011>,0.38923343,0.14166938
-10,RC_nd1,432,Cubic_High m-3m,<011>,0.42261826,0.90630779
-10,RC_nd1,432,Cubic_High m-3m,<011>,0.42261826,0.90630779
-10,RC_nd1,432,Cubic_High m-3m,<011>,0.90630779,-0.42261826
-10,RC_nd1,432,Cubic_High m-3m,<011>,0.90630779,-0.42261826
-10,RC_nd1,432,Cubic_High m-3m,<111>,-0.46913943,0.21876331
-10,RC_nd1,432,Cubic_High m-3m,<111>,-0.46913943,0.21876331
-10,RC_nd1,432,Cubic_High m-3m,<111>,-0.21876331,-0.46913943
-10,RC_nd1,432,Cubic_High m-3m,<111>,-0.21876331,-0.46913943
-10,RC_nd1,432,Cubic_High m-3m,<111>,0.21876331,0.46913943
-10,RC_nd1,432,Cubic_High m-3m,<111>,0.21876331,0.46913943
-10,RC_nd1,432,Cubic_High m-3m,<111>,0.46913943,-0.21876331
-10,RC_nd1,432,Cubic_High m-3m,<111>,0.46913943,-0.21876331
-10,RC_nd1,23,Cubic_Low m-3,<001>,-0.00000000,-0.00000000
-10,RC_nd1,23,Cubic_Low m-3,<001>,-0.00000000,-0.00000000
-10,RC_nd1,23,Cubic_Low m-3,<001>,0.34202014,-0.93969262
-10,RC_nd1,23,Cubic_Low m-3,<001>,0.34202014,-0.93969262
-10,RC_nd1,23,Cubic_Low m-3,<001>,0.93969262,0.34202014
-10,RC_nd1,23,Cubic_Low m-3,<001>,0.93969262,0.34202014
-10,RC_nd1,23,Cubic_Low m-3,<011>,-0.38923343,-0.14166938
-10,RC_nd1,23,Cubic_Low m-3,<011>,-0.38923343,-0.14166938
-10,RC_nd1,23,Cubic_Low m-3,<011>,-0.14166938,0.38923343
-10,RC_nd1,23,Cubic_Low m-3,<011>,-0.14166938,0.38923343
-10,RC_nd1,23,Cubic_Low m-3,<011>,0.14166938,-0.38923343
-10,RC_nd1,23,Cubic_Low m-3,<011>,0.14166938,-0.38923343
-10,RC_nd1,23,Cubic_Low m-3,<011>,0.38923343,0.14166938
-10,RC_nd1,23,Cubic_Low m-3,<011>,0.38923343,0.14166938
-10,RC_nd1,23,Cubic_Low m-3,<011>,0.42261826,0.90630779
-10,RC_nd1,23,Cubic_Low m-3,<011>,0.42261826,0.90630779
-10,RC_nd1,23,Cubic_Low m-3,<011>,0.90630779,-0.42261826
-10,RC_nd1,23,Cubic_Low m-3,<011>,0.90630779,-0.42261826
-10,RC_nd1,23,Cubic_Low m-3,<111>,-0.46913943,0.21876331
-10,RC_nd1,23,Cubic_Low m-3,<111>,-0.46913943,0.21876331
-10,RC_nd1,23,Cubic_Low m-3,<111>,-0.21876331,-0.46913943
-10,RC_nd1,23,Cubic_Low m-3,<111>,-0.21876331,-0.46913943
-10,RC_nd1,23,Cubic_Low m-3,<111>,0.21876331,0.46913943
-10,RC_nd1,23,Cubic_Low m-3,<111>,0.21876331,0.46913943
-10,RC_nd1,23,Cubic_Low m-3,<111>,0.46913943,-0.21876331
-10,RC_nd1,23,Cubic_Low m-3,<111>,0.46913943,-0.21876331
-10,RC_nd1,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.00000000
-10,RC_nd1,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.00000000
-10,RC_nd1,622,Hexagonal_High 6/mmm,<10-10>,-0.93969262,-0.34202014
-10,RC_nd1,622,Hexagonal_High 6/mmm,<10-10>,-0.17364818,-0.98480775
-10,RC_nd1,622,Hexagonal_High 6/mmm,<10-10>,0.17364818,0.98480775
-10,RC_nd1,622,Hexagonal_High 6/mmm,<10-10>,0.76604444,-0.64278761
-10,RC_nd1,622,Hexagonal_High 6/mmm,<10-10>,0.76604444,-0.64278761
-10,RC_nd1,622,Hexagonal_High 6/mmm,<10-10>,0.93969262,0.34202014
-10,RC_nd1,622,Hexagonal_High 6/mmm,<11-20>,-0.98480775,0.17364818
-10,RC_nd1,622,Hexagonal_High 6/mmm,<11-20>,-0.64278761,-0.76604444
-10,RC_nd1,622,Hexagonal_High 6/mmm,<11-20>,0.34202014,-0.93969262
-10,RC_nd1,622,Hexagonal_High 6/mmm,<11-20>,0.34202014,-0.93969262
-10,RC_nd1,622,Hexagonal_High 6/mmm,<11-20>,0.64278761,0.76604444
-10,RC_nd1,622,Hexagonal_High 6/mmm,<11-20>,0.98480775,-0.17364818
-10,RC_nd1,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.00000000
-10,RC_nd1,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.00000000
-10,RC_nd1,6,Hexagonal_Low 6/m,<10-10>,-0.93969262,-0.34202014
-10,RC_nd1,6,Hexagonal_Low 6/m,<10-10>,-0.76604444,0.64278761
-10,RC_nd1,6,Hexagonal_Low 6/m,<10-10>,-0.17364818,-0.98480775
-10,RC_nd1,6,Hexagonal_Low 6/m,<10-10>,0.17364818,0.98480775
-10,RC_nd1,6,Hexagonal_Low 6/m,<10-10>,0.76604444,-0.64278761
-10,RC_nd1,6,Hexagonal_Low 6/m,<10-10>,0.93969262,0.34202014
-10,RC_nd1,6,Hexagonal_Low 6/m,<11-20>,-0.98480775,0.17364818
-10,RC_nd1,6,Hexagonal_Low 6/m,<11-20>,-0.64278761,-0.76604444
-10,RC_nd1,6,Hexagonal_Low 6/m,<11-20>,-0.34202014,0.93969262
-10,RC_nd1,6,Hexagonal_Low 6/m,<11-20>,0.34202014,-0.93969262
-10,RC_nd1,6,Hexagonal_Low 6/m,<11-20>,0.64278761,0.76604444
-10,RC_nd1,6,Hexagonal_Low 6/m,<11-20>,0.98480775,-0.17364818
-10,RC_nd1,32,Trigonal_High -3m,<0001>,-0.00000000,-0.00000000
-10,RC_nd1,32,Trigonal_High -3m,<0001>,-0.00000000,-0.00000000
-10,RC_nd1,32,Trigonal_High -3m,<0-110>,-0.93969262,-0.34202014
-10,RC_nd1,32,Trigonal_High -3m,<0-110>,-0.17364818,-0.98480775
-10,RC_nd1,32,Trigonal_High -3m,<0-110>,0.17364818,0.98480775
-10,RC_nd1,32,Trigonal_High -3m,<0-110>,0.76604444,-0.64278761
-10,RC_nd1,32,Trigonal_High -3m,<0-110>,0.76604444,-0.64278761
-10,RC_nd1,32,Trigonal_High -3m,<0-110>,0.93969262,0.34202014
-10,RC_nd1,32,Trigonal_High -3m,<1-100>,-0.76604444,0.64278761
-10,RC_nd1,32,Trigonal_High -3m,<1-100>,-0.17364818,-0.98480775
-10,RC_nd1,32,Trigonal_High -3m,<1-100>,0.17364818,0.98480775
-10,RC_nd1,32,Trigonal_High -3m,<1-100>,0.76604444,-0.64278761
-10,RC_nd1,32,Trigonal_High -3m,<1-100>,0.93969262,0.34202014
-10,RC_nd1,32,Trigonal_High -3m,<1-100>,0.93969262,0.34202014
-10,RC_nd1,3,Trigonal_Low -3,<0001>,-0.00000000,-0.00000000
-10,RC_nd1,3,Trigonal_Low -3,<0001>,-0.00000000,-0.00000000
-10,RC_nd1,3,Trigonal_Low -3,<-1-120>,-0.98480775,0.17364818
-10,RC_nd1,3,Trigonal_Low -3,<-1-120>,-0.64278761,-0.76604444
-10,RC_nd1,3,Trigonal_Low -3,<-1-120>,-0.34202014,0.93969262
-10,RC_nd1,3,Trigonal_Low -3,<-1-120>,0.34202014,-0.93969262
-10,RC_nd1,3,Trigonal_Low -3,<-1-120>,0.64278761,0.76604444
-10,RC_nd1,3,Trigonal_Low -3,<-1-120>,0.98480775,-0.17364818
-10,RC_nd1,3,Trigonal_Low -3,<2-1-10>,-0.98480775,0.17364818
-10,RC_nd1,3,Trigonal_Low -3,<2-1-10>,-0.64278761,-0.76604444
-10,RC_nd1,3,Trigonal_Low -3,<2-1-10>,-0.34202014,0.93969262
-10,RC_nd1,3,Trigonal_Low -3,<2-1-10>,0.34202014,-0.93969262
-10,RC_nd1,3,Trigonal_Low -3,<2-1-10>,0.64278761,0.76604444
-10,RC_nd1,3,Trigonal_Low -3,<2-1-10>,0.98480775,-0.17364818
-10,RC_nd1,422,Tetragonal_High 4/mmm,<001>,-0.00000000,-0.00000000
-10,RC_nd1,422,Tetragonal_High 4/mmm,<001>,-0.00000000,-0.00000000
-10,RC_nd1,422,Tetragonal_High 4/mmm,<100>,-0.93969262,-0.34202014
-10,RC_nd1,422,Tetragonal_High 4/mmm,<100>,-0.34202014,0.93969262
-10,RC_nd1,422,Tetragonal_High 4/mmm,<100>,0.34202014,-0.93969262
-10,RC_nd1,422,Tetragonal_High 4/mmm,<100>,0.93969262,0.34202014
-10,RC_nd1,422,Tetragonal_High 4/mmm,<110>,-0.42261826,-0.90630779
-10,RC_nd1,422,Tetragonal_High 4/mmm,<110>,0.42261826,0.90630779
-10,RC_nd1,422,Tetragonal_High 4/mmm,<110>,0.90630779,-0.42261826
-10,RC_nd1,422,Tetragonal_High 4/mmm,<110>,0.90630779,-0.42261826
-10,RC_nd1,4,Tetragonal_Low 4/m,<001>,-0.00000000,-0.00000000
-10,RC_nd1,4,Tetragonal_Low 4/m,<001>,-0.00000000,-0.00000000
-10,RC_nd1,4,Tetragonal_Low 4/m,<100>,-0.93969262,-0.34202014
-10,RC_nd1,4,Tetragonal_Low 4/m,<100>,-0.34202014,0.93969262
-10,RC_nd1,4,Tetragonal_Low 4/m,<100>,0.34202014,-0.93969262
-10,RC_nd1,4,Tetragonal_Low 4/m,<100>,0.93969262,0.34202014
-10,RC_nd1,4,Tetragonal_Low 4/m,<110>,-0.90630779,0.42261826
-10,RC_nd1,4,Tetragonal_Low 4/m,<110>,-0.42261826,-0.90630779
-10,RC_nd1,4,Tetragonal_Low 4/m,<110>,0.42261826,0.90630779
-10,RC_nd1,4,Tetragonal_Low 4/m,<110>,0.90630779,-0.42261826
-10,RC_nd1,222,OrthoRhombic mmm,<001>,-0.00000000,-0.00000000
-10,RC_nd1,222,OrthoRhombic mmm,<001>,-0.00000000,-0.00000000
-10,RC_nd1,222,OrthoRhombic mmm,<100>,-0.93969262,-0.34202014
-10,RC_nd1,222,OrthoRhombic mmm,<100>,0.93969262,0.34202014
-10,RC_nd1,222,OrthoRhombic mmm,<010>,-0.34202014,0.93969262
-10,RC_nd1,222,OrthoRhombic mmm,<010>,0.34202014,-0.93969262
-10,RC_nd1,2,Monoclinic 2/m,<001>,-0.00000000,-0.00000000
-10,RC_nd1,2,Monoclinic 2/m,<001>,-0.00000000,-0.00000000
-10,RC_nd1,2,Monoclinic 2/m,<100>,-0.93969262,-0.34202014
-10,RC_nd1,2,Monoclinic 2/m,<100>,0.93969262,0.34202014
-10,RC_nd1,2,Monoclinic 2/m,<010>,-0.34202014,0.93969262
-10,RC_nd1,2,Monoclinic 2/m,<010>,0.34202014,-0.93969262
-10,RC_nd1,1,Triclinic -1,<001>,-0.00000000,-0.00000000
-10,RC_nd1,1,Triclinic -1,<001>,-0.00000000,-0.00000000
-10,RC_nd1,1,Triclinic -1,<100>,-0.93969262,-0.34202014
-10,RC_nd1,1,Triclinic -1,<100>,0.93969262,0.34202014
-10,RC_nd1,1,Triclinic -1,<010>,-0.34202014,0.93969262
-10,RC_nd1,1,Triclinic -1,<010>,0.34202014,-0.93969262
-11,RC_nd2,432,Cubic_High m-3m,<001>,-0.00000000,-0.00000000
-11,RC_nd2,432,Cubic_High m-3m,<001>,-0.00000000,-0.00000000
-11,RC_nd2,432,Cubic_High m-3m,<001>,0.57357644,-0.81915204
-11,RC_nd2,432,Cubic_High m-3m,<001>,0.57357644,-0.81915204
-11,RC_nd2,432,Cubic_High m-3m,<001>,0.81915204,0.57357644
-11,RC_nd2,432,Cubic_High m-3m,<001>,0.81915204,0.57357644
-11,RC_nd2,432,Cubic_High m-3m,<011>,-0.33930389,-0.23758314
-11,RC_nd2,432,Cubic_High m-3m,<011>,-0.33930389,-0.23758314
-11,RC_nd2,432,Cubic_High m-3m,<011>,-0.23758314,0.33930389
-11,RC_nd2,432,Cubic_High m-3m,<011>,-0.23758314,0.33930389
-11,RC_nd2,432,Cubic_High m-3m,<011>,0.17364818,0.98480775
-11,RC_nd2,432,Cubic_High m-3m,<011>,0.17364818,0.98480775
-11,RC_nd2,432,Cubic_High m-3m,<011>,0.23758314,-0.33930389
-11,RC_nd2,432,Cubic_High m-3m,<011>,0.23758314,-0.33930389
-11,RC_nd2,432,Cubic_High m-3m,<011>,0.33930389,0.23758314
-11,RC_nd2,432,Cubic_High m-3m,<011>,0.33930389,0.23758314
-11,RC_nd2,432,Cubic_High m-3m,<011>,0.98480775,-0.17364818
-11,RC_nd2,432,Cubic_High m-3m,<011>,0.98480775,-0.17364818
-11,RC_nd2,432,Cubic_High m-3m,<111>,-0.50977400,0.08988691
-11,RC_nd2,432,Cubic_High m-3m,<111>,-0.50977400,0.08988691
-11,RC_nd2,432,Cubic_High m-3m,<111>,-0.08988691,-0.50977400
-11,RC_nd2,432,Cubic_High m-3m,<111>,-0.08988691,-0.50977400
-11,RC_nd2,432,Cubic_High m-3m,<111>,0.08988691,0.50977400
-11,RC_nd2,432,Cubic_High m-3m,<111>,0.08988691,0.50977400
-11,RC_nd2,432,Cubic_High m-3m,<111>,0.50977400,-0.08988691
-11,RC_nd2,432,Cubic_High m-3m,<111>,0.50977400,-0.08988691
-11,RC_nd2,23,Cubic_Low m-3,<001>,-0.00000000,-0.00000000
-11,RC_nd2,23,Cubic_Low m-3,<001>,-0.00000000,-0.00000000
-11,RC_nd2,23,Cubic_Low m-3,<001>,0.57357644,-0.81915204
-11,RC_nd2,23,Cubic_Low m-3,<001>,0.57357644,-0.81915204
-11,RC_nd2,23,Cubic_Low m-3,<001>,0.81915204,0.57357644
-11,RC_nd2,23,Cubic_Low m-3,<001>,0.81915204,0.57357644
-11,RC_nd2,23,Cubic_Low m-3,<011>,-0.33930389,-0.23758314
-11,RC_nd2,23,Cubic_Low m-3,<011>,-0.33930389,-0.23758314
-11,RC_nd2,23,Cubic_Low m-3,<011>,-0.23758314,0.33930389
-11,RC_nd2,23,Cubic_Low m-3,<011>,-0.23758314,0.33930389
-11,RC_nd2,23,Cubic_Low m-3,<011>,0.17364818,0.98480775
-11,RC_nd2,23,Cubic_Low m-3,<011>,0.17364818,0.98480775
-11,RC_nd2,23,Cubic_Low m-3,<011>,0.23758314,-0.33930389
-11,RC_nd2,23,Cubic_Low m-3,<011>,0.23758314,-0.33930389
-11,RC_nd2,23,Cubic_Low m-3,<011>,0.33930389,0.23758314
-11,RC_nd2,23,Cubic_Low m-3,<011>,0.33930389,0.23758314
-11,RC_nd2,23,Cubic_Low m-3,<011>,0.98480775,-0.17364818
-11,RC_nd2,23,Cubic_Low m-3,<011>,0.98480775,-0.17364818
-11,RC_nd2,23,Cubic_Low m-3,<111>,-0.50977400,0.08988691
-11,RC_nd2,23,Cubic_Low m-3,<111>,-0.50977400,0.08988691
-11,RC_nd2,23,Cubic_Low m-3,<111>,-0.08988691,-0.50977400
-11,RC_nd2,23,Cubic_Low m-3,<111>,-0.08988691,-0.50977400
-11,RC_nd2,23,Cubic_Low m-3,<111>,0.08988691,0.50977400
-11,RC_nd2,23,Cubic_Low m-3,<111>,0.08988691,0.50977400
-11,RC_nd2,23,Cubic_Low m-3,<111>,0.50977400,-0.08988691
-11,RC_nd2,23,Cubic_Low m-3,<111>,0.50977400,-0.08988691
-11,RC_nd2,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.00000000
-11,RC_nd2,622,Hexagonal_High 6/mmm,<0001>,-0.00000000,-0.00000000
-11,RC_nd2,622,Hexagonal_High 6/mmm,<10-10>,-0.81915204,-0.57357644
-11,RC_nd2,622,Hexagonal_High 6/mmm,<10-10>,-0.08715574,0.99619470
-11,RC_nd2,622,Hexagonal_High 6/mmm,<10-10>,0.08715574,-0.99619470
-11,RC_nd2,622,Hexagonal_High 6/mmm,<10-10>,0.81915204,0.57357644
-11,RC_nd2,622,Hexagonal_High 6/mmm,<10-10>,0.90630779,-0.42261826
-11,RC_nd2,622,Hexagonal_High 6/mmm,<10-10>,0.90630779,-0.42261826
-11,RC_nd2,622,Hexagonal_High 6/mmm,<11-20>,-0.99619470,-0.08715574
-11,RC_nd2,622,Hexagonal_High 6/mmm,<11-20>,-0.42261826,-0.90630779
-11,RC_nd2,622,Hexagonal_High 6/mmm,<11-20>,0.42261826,0.90630779
-11,RC_nd2,622,Hexagonal_High 6/mmm,<11-20>,0.57357644,-0.81915204
-11,RC_nd2,622,Hexagonal_High 6/mmm,<11-20>,0.57357644,-0.81915204
-11,RC_nd2,622,Hexagonal_High 6/mmm,<11-20>,0.99619470,0.08715574
-11,RC_nd2,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.00000000
-11,RC_nd2,6,Hexagonal_Low 6/m,<0001>,-0.00000000,-0.00000000
-11,RC_nd2,6,Hexagonal_Low 6/m,<10-10>,-0.90630779,0.42261826
-11,RC_nd2,6,Hexagonal_Low 6/m,<10-10>,-0.81915204,-0.57357644
-11,RC_nd2,6,Hexagonal_Low 6/m,<10-10>,-0.08715574,0.99619470
-11,RC_nd2,6,Hexagonal_Low 6/m,<10-10>,0.08715574,-0.99619470
-11,RC_nd2,6,Hexagonal_Low 6/m,<10-10>,0.81915204,0.57357644
-11,RC_nd2,6,Hexagonal_Low 6/m,<10-10>,0.90630779,-0.42261826
-11,RC_nd2,6,Hexagonal_Low 6/m,<11-20>,-0.99619470,-0.08715574
-11,RC_nd2,6,Hexagonal_Low 6/m,<11-20>,-0.57357644,0.81915204
-11,RC_nd2,6,Hexagonal_Low 6/m,<11-20>,-0.42261826,-0.90630779
-11,RC_nd2,6,Hexagonal_Low 6/m,<11-20>,0.42261826,0.90630779
-11,RC_nd2,6,Hexagonal_Low 6/m,<11-20>,0.57357644,-0.81915204
-11,RC_nd2,6,Hexagonal_Low 6/m,<11-20>,0.99619470,0.08715574
-11,RC_nd2,32,Trigonal_High -3m,<0001>,-0.00000000,-0.00000000
-11,RC_nd2,32,Trigonal_High -3m,<0001>,-0.00000000,-0.00000000
-11,RC_nd2,32,Trigonal_High -3m,<0-110>,-0.81915204,-0.57357644
-11,RC_nd2,32,Trigonal_High -3m,<0-110>,-0.08715574,0.99619470
-11,RC_nd2,32,Trigonal_High -3m,<0-110>,0.08715574,-0.99619470
-11,RC_nd2,32,Trigonal_High -3m,<0-110>,0.81915204,0.57357644
-11,RC_nd2,32,Trigonal_High -3m,<0-110>,0.90630779,-0.42261826
-11,RC_nd2,32,Trigonal_High -3m,<0-110>,0.90630779,-0.42261826
-11,RC_nd2,32,Trigonal_High -3m,<1-100>,-0.90630779,0.42261826
-11,RC_nd2,32,Trigonal_High -3m,<1-100>,-0.08715574,0.99619470
-11,RC_nd2,32,Trigonal_High -3m,<1-100>,0.08715574,-0.99619470
-11,RC_nd2,32,Trigonal_High -3m,<1-100>,0.81915204,0.57357644
-11,RC_nd2,32,Trigonal_High -3m,<1-100>,0.81915204,0.57357644
-11,RC_nd2,32,Trigonal_High -3m,<1-100>,0.90630779,-0.42261826
-11,RC_nd2,3,Trigonal_Low -3,<0001>,-0.00000000,-0.00000000
-11,RC_nd2,3,Trigonal_Low -3,<0001>,-0.00000000,-0.00000000
-11,RC_nd2,3,Trigonal_Low -3,<-1-120>,-0.99619470,-0.08715574
-11,RC_nd2,3,Trigonal_Low -3,<-1-120>,-0.57357644,0.81915204
-11,RC_nd2,3,Trigonal_Low -3,<-1-120>,-0.42261826,-0.90630779
-11,RC_nd2,3,Trigonal_Low -3,<-1-120>,0.42261826,0.90630779
-11,RC_nd2,3,Trigonal_Low -3,<-1-120>,0.57357644,-0.81915204
-11,RC_nd2,3,Trigonal_Low -3,<-1-120>,0.99619470,0.08715574
-11,RC_nd2,3,Trigonal_Low -3,<2-1-10>,-0.99619470,-0.08715574
-11,RC_nd2,3,Trigonal_Low -3,<2-1-10>,-0.57357644,0.81915204
-11,RC_nd2,3,Trigonal_Low -3,<2-1-10>,-0.42261826,-0.90630779
-11,RC_nd2,3,Trigonal_Low -3,<2-1-10>,0.42261826,0.90630779
-11,RC_nd2,3,Trigonal_Low -3,<2-1-10>,0.57357644,-0.81915204
-11,RC_nd2,3,Trigonal_Low -3,<2-1-10>,0.99619470,0.08715574
-11,RC_nd2,422,Tetragonal_High 4/mmm,<001>,-0.00000000,-0.00000000
-11,RC_nd2,422,Tetragonal_High 4/mmm,<001>,-0.00000000,-0.00000000
-11,RC_nd2,422,Tetragonal_High 4/mmm,<100>,-0.81915204,-0.57357644
-11,RC_nd2,422,Tetragonal_High 4/mmm,<100>,-0.57357644,0.81915204
-11,RC_nd2,422,Tetragonal_High 4/mmm,<100>,0.57357644,-0.81915204
-11,RC_nd2,422,Tetragonal_High 4/mmm,<100>,0.81915204,0.57357644
-11,RC_nd2,422,Tetragonal_High 4/mmm,<110>,-0.17364818,-0.98480775
-11,RC_nd2,422,Tetragonal_High 4/mmm,<110>,0.17364818,0.98480775
-11,RC_nd2,422,Tetragonal_High 4/mmm,<110>,0.98480775,-0.17364818
-11,RC_nd2,422,Tetragonal_High 4/mmm,<110>,0.98480775,-0.17364818
-11,RC_nd2,4,Tetragonal_Low 4/m,<001>,-0.00000000,-0.00000000
-11,RC_nd2,4,Tetragonal_Low 4/m,<001>,-0.00000000,-0.00000000
-11,RC_nd2,4,Tetragonal_Low 4/m,<100>,-0.81915204,-0.57357644
-11,RC_nd2,4,Tetragonal_Low 4/m,<100>,-0.57357644,0.81915204
-11,RC_nd2,4,Tetragonal_Low 4/m,<100>,0.57357644,-0.81915204
-11,RC_nd2,4,Tetragonal_Low 4/m,<100>,0.81915204,0.57357644
-11,RC_nd2,4,Tetragonal_Low 4/m,<110>,-0.98480775,0.17364818
-11,RC_nd2,4,Tetragonal_Low 4/m,<110>,-0.17364818,-0.98480775
-11,RC_nd2,4,Tetragonal_Low 4/m,<110>,0.17364818,0.98480775
-11,RC_nd2,4,Tetragonal_Low 4/m,<110>,0.98480775,-0.17364818
-11,RC_nd2,222,OrthoRhombic mmm,<001>,-0.00000000,-0.00000000
-11,RC_nd2,222,OrthoRhombic mmm,<001>,-0.00000000,-0.00000000
-11,RC_nd2,222,OrthoRhombic mmm,<100>,-0.81915204,-0.57357644
-11,RC_nd2,222,OrthoRhombic mmm,<100>,0.81915204,0.57357644
-11,RC_nd2,222,OrthoRhombic mmm,<010>,-0.57357644,0.81915204
-11,RC_nd2,222,OrthoRhombic mmm,<010>,0.57357644,-0.81915204
-11,RC_nd2,2,Monoclinic 2/m,<001>,-0.00000000,-0.00000000
-11,RC_nd2,2,Monoclinic 2/m,<001>,-0.00000000,-0.00000000
-11,RC_nd2,2,Monoclinic 2/m,<100>,-0.81915204,-0.57357644
-11,RC_nd2,2,Monoclinic 2/m,<100>,0.81915204,0.57357644
-11,RC_nd2,2,Monoclinic 2/m,<010>,-0.57357644,0.81915204
-11,RC_nd2,2,Monoclinic 2/m,<010>,0.57357644,-0.81915204
-11,RC_nd2,1,Triclinic -1,<001>,-0.00000000,-0.00000000
-11,RC_nd2,1,Triclinic -1,<001>,-0.00000000,-0.00000000
-11,RC_nd2,1,Triclinic -1,<100>,-0.81915204,-0.57357644
-11,RC_nd2,1,Triclinic -1,<100>,0.81915204,0.57357644
-11,RC_nd2,1,Triclinic -1,<010>,-0.57357644,0.81915204
-11,RC_nd2,1,Triclinic -1,<010>,0.57357644,-0.81915204
+0,Cube,432,Cubic_High m-3m,{001},0.00000000,-1.00000000
+0,Cube,432,Cubic_High m-3m,{001},0.00000000,-1.00000000
+0,Cube,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+0,Cube,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+0,Cube,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+0,Cube,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+0,Cube,432,Cubic_High m-3m,{011},-0.41421356,-0.00000000
+0,Cube,432,Cubic_High m-3m,{011},-0.41421356,-0.00000000
+0,Cube,432,Cubic_High m-3m,{011},-0.00000000,-0.41421356
+0,Cube,432,Cubic_High m-3m,{011},-0.00000000,-0.41421356
+0,Cube,432,Cubic_High m-3m,{011},-0.00000000,0.41421356
+0,Cube,432,Cubic_High m-3m,{011},-0.00000000,0.41421356
+0,Cube,432,Cubic_High m-3m,{011},0.41421356,0.00000000
+0,Cube,432,Cubic_High m-3m,{011},0.41421356,0.00000000
+0,Cube,432,Cubic_High m-3m,{011},0.70710678,-0.70710678
+0,Cube,432,Cubic_High m-3m,{011},0.70710678,-0.70710678
+0,Cube,432,Cubic_High m-3m,{011},0.70710678,0.70710678
+0,Cube,432,Cubic_High m-3m,{011},0.70710678,0.70710678
+0,Cube,432,Cubic_High m-3m,{111},-0.36602540,-0.36602540
+0,Cube,432,Cubic_High m-3m,{111},-0.36602540,-0.36602540
+0,Cube,432,Cubic_High m-3m,{111},-0.36602540,0.36602540
+0,Cube,432,Cubic_High m-3m,{111},-0.36602540,0.36602540
+0,Cube,432,Cubic_High m-3m,{111},0.36602540,-0.36602540
+0,Cube,432,Cubic_High m-3m,{111},0.36602540,-0.36602540
+0,Cube,432,Cubic_High m-3m,{111},0.36602540,0.36602540
+0,Cube,432,Cubic_High m-3m,{111},0.36602540,0.36602540
+0,Cube,23,Cubic_Low m-3,{001},0.00000000,-1.00000000
+0,Cube,23,Cubic_Low m-3,{001},0.00000000,-1.00000000
+0,Cube,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+0,Cube,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+0,Cube,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+0,Cube,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+0,Cube,23,Cubic_Low m-3,{011},-0.41421356,-0.00000000
+0,Cube,23,Cubic_Low m-3,{011},-0.41421356,-0.00000000
+0,Cube,23,Cubic_Low m-3,{011},0.00000000,-0.41421356
+0,Cube,23,Cubic_Low m-3,{011},0.00000000,-0.41421356
+0,Cube,23,Cubic_Low m-3,{011},-0.00000000,0.41421356
+0,Cube,23,Cubic_Low m-3,{011},-0.00000000,0.41421356
+0,Cube,23,Cubic_Low m-3,{011},0.41421356,0.00000000
+0,Cube,23,Cubic_Low m-3,{011},0.41421356,0.00000000
+0,Cube,23,Cubic_Low m-3,{011},0.70710678,-0.70710678
+0,Cube,23,Cubic_Low m-3,{011},0.70710678,-0.70710678
+0,Cube,23,Cubic_Low m-3,{011},0.70710678,0.70710678
+0,Cube,23,Cubic_Low m-3,{011},0.70710678,0.70710678
+0,Cube,23,Cubic_Low m-3,{111},-0.36602540,-0.36602540
+0,Cube,23,Cubic_Low m-3,{111},-0.36602540,-0.36602540
+0,Cube,23,Cubic_Low m-3,{111},-0.36602540,0.36602540
+0,Cube,23,Cubic_Low m-3,{111},-0.36602540,0.36602540
+0,Cube,23,Cubic_Low m-3,{111},0.36602540,-0.36602540
+0,Cube,23,Cubic_Low m-3,{111},0.36602540,-0.36602540
+0,Cube,23,Cubic_Low m-3,{111},0.36602540,0.36602540
+0,Cube,23,Cubic_Low m-3,{111},0.36602540,0.36602540
+0,Cube,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},-1.00000000,-0.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},-0.50000000,-0.86602540
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},0.50000000,-0.86602540
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},0.50000000,-0.86602540
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},0.50000000,0.86602540
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},1.00000000,0.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},-0.86602540,-0.50000000
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},-0.86602540,0.50000000
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},0.00000000,-1.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},0.00000000,-1.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},0.86602540,-0.50000000
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},0.86602540,0.50000000
+0,Cube,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.00000000
+0,Cube,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.00000000
+0,Cube,6,Hexagonal_Low 6/m,{10-10},-1.00000000,-0.00000000
+0,Cube,6,Hexagonal_Low 6/m,{10-10},-0.50000000,-0.86602540
+0,Cube,6,Hexagonal_Low 6/m,{10-10},-0.50000000,0.86602540
+0,Cube,6,Hexagonal_Low 6/m,{10-10},0.50000000,-0.86602540
+0,Cube,6,Hexagonal_Low 6/m,{10-10},0.50000000,0.86602540
+0,Cube,6,Hexagonal_Low 6/m,{10-10},1.00000000,0.00000000
+0,Cube,6,Hexagonal_Low 6/m,{11-20},-0.86602540,-0.50000000
+0,Cube,6,Hexagonal_Low 6/m,{11-20},-0.86602540,0.50000000
+0,Cube,6,Hexagonal_Low 6/m,{11-20},0.00000000,-1.00000000
+0,Cube,6,Hexagonal_Low 6/m,{11-20},-0.00000000,1.00000000
+0,Cube,6,Hexagonal_Low 6/m,{11-20},0.86602540,-0.50000000
+0,Cube,6,Hexagonal_Low 6/m,{11-20},0.86602540,0.50000000
+0,Cube,32,Trigonal_High -3m,{0001},-0.00000000,-0.00000000
+0,Cube,32,Trigonal_High -3m,{0001},-0.00000000,-0.00000000
+0,Cube,32,Trigonal_High -3m,{0-110},-1.00000000,-0.00000000
+0,Cube,32,Trigonal_High -3m,{0-110},-0.50000000,-0.86602540
+0,Cube,32,Trigonal_High -3m,{0-110},0.50000000,-0.86602540
+0,Cube,32,Trigonal_High -3m,{0-110},0.50000000,-0.86602540
+0,Cube,32,Trigonal_High -3m,{0-110},0.50000000,0.86602540
+0,Cube,32,Trigonal_High -3m,{0-110},1.00000000,0.00000000
+0,Cube,32,Trigonal_High -3m,{1-100},-0.50000000,-0.86602540
+0,Cube,32,Trigonal_High -3m,{1-100},-0.50000000,0.86602540
+0,Cube,32,Trigonal_High -3m,{1-100},0.50000000,-0.86602540
+0,Cube,32,Trigonal_High -3m,{1-100},0.50000000,0.86602540
+0,Cube,32,Trigonal_High -3m,{1-100},1.00000000,0.00000000
+0,Cube,32,Trigonal_High -3m,{1-100},1.00000000,0.00000000
+0,Cube,3,Trigonal_Low -3,{0001},-0.00000000,-0.00000000
+0,Cube,3,Trigonal_Low -3,{0001},-0.00000000,-0.00000000
+0,Cube,3,Trigonal_Low -3,{-1-120},-0.86602540,-0.50000000
+0,Cube,3,Trigonal_Low -3,{-1-120},-0.86602540,0.50000000
+0,Cube,3,Trigonal_Low -3,{-1-120},0.00000000,-1.00000000
+0,Cube,3,Trigonal_Low -3,{-1-120},-0.00000000,1.00000000
+0,Cube,3,Trigonal_Low -3,{-1-120},0.86602540,-0.50000000
+0,Cube,3,Trigonal_Low -3,{-1-120},0.86602540,0.50000000
+0,Cube,3,Trigonal_Low -3,{2-1-10},-0.86602540,-0.50000000
+0,Cube,3,Trigonal_Low -3,{2-1-10},-0.86602540,0.50000000
+0,Cube,3,Trigonal_Low -3,{2-1-10},0.00000000,-1.00000000
+0,Cube,3,Trigonal_Low -3,{2-1-10},-0.00000000,1.00000000
+0,Cube,3,Trigonal_Low -3,{2-1-10},0.86602540,-0.50000000
+0,Cube,3,Trigonal_Low -3,{2-1-10},0.86602540,0.50000000
+0,Cube,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{100},-1.00000000,-0.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{100},0.00000000,-1.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{100},-0.00000000,1.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{110},-0.70710678,-0.70710678
+0,Cube,422,Tetragonal_High 4/mmm,{110},0.70710678,-0.70710678
+0,Cube,422,Tetragonal_High 4/mmm,{110},0.70710678,-0.70710678
+0,Cube,422,Tetragonal_High 4/mmm,{110},0.70710678,0.70710678
+0,Cube,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+0,Cube,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+0,Cube,4,Tetragonal_Low 4/m,{100},-1.00000000,-0.00000000
+0,Cube,4,Tetragonal_Low 4/m,{100},0.00000000,-1.00000000
+0,Cube,4,Tetragonal_Low 4/m,{100},-0.00000000,1.00000000
+0,Cube,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+0,Cube,4,Tetragonal_Low 4/m,{110},-0.70710678,-0.70710678
+0,Cube,4,Tetragonal_Low 4/m,{110},-0.70710678,0.70710678
+0,Cube,4,Tetragonal_Low 4/m,{110},0.70710678,-0.70710678
+0,Cube,4,Tetragonal_Low 4/m,{110},0.70710678,0.70710678
+0,Cube,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+0,Cube,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+0,Cube,222,OrthoRhombic mmm,{100},-1.00000000,-0.00000000
+0,Cube,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+0,Cube,222,OrthoRhombic mmm,{010},0.00000000,-1.00000000
+0,Cube,222,OrthoRhombic mmm,{010},-0.00000000,1.00000000
+0,Cube,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+0,Cube,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+0,Cube,2,Monoclinic 2/m,{100},-1.00000000,-0.00000000
+0,Cube,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+0,Cube,2,Monoclinic 2/m,{010},0.00000000,-1.00000000
+0,Cube,2,Monoclinic 2/m,{010},-0.00000000,1.00000000
+0,Cube,1,Triclinic -1,{001},-0.00000000,-0.00000000
+0,Cube,1,Triclinic -1,{001},-0.00000000,-0.00000000
+0,Cube,1,Triclinic -1,{100},-1.00000000,-0.00000000
+0,Cube,1,Triclinic -1,{100},1.00000000,0.00000000
+0,Cube,1,Triclinic -1,{010},0.00000000,-1.00000000
+0,Cube,1,Triclinic -1,{010},-0.00000000,1.00000000
+1,Goss,432,Cubic_High m-3m,{001},0.00000000,-0.41421356
+1,Goss,432,Cubic_High m-3m,{001},0.00000000,-0.41421356
+1,Goss,432,Cubic_High m-3m,{001},-0.00000000,0.41421356
+1,Goss,432,Cubic_High m-3m,{001},-0.00000000,0.41421356
+1,Goss,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+1,Goss,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+1,Goss,432,Cubic_High m-3m,{011},-0.47140452,-0.33333333
+1,Goss,432,Cubic_High m-3m,{011},-0.47140452,-0.33333333
+1,Goss,432,Cubic_High m-3m,{011},-0.47140452,0.33333333
+1,Goss,432,Cubic_High m-3m,{011},-0.47140452,0.33333333
+1,Goss,432,Cubic_High m-3m,{011},-0.00000000,-1.00000000
+1,Goss,432,Cubic_High m-3m,{011},-0.00000000,-1.00000000
+1,Goss,432,Cubic_High m-3m,{011},-0.00000000,-0.00000000
+1,Goss,432,Cubic_High m-3m,{011},-0.00000000,-0.00000000
+1,Goss,432,Cubic_High m-3m,{011},0.47140452,-0.33333333
+1,Goss,432,Cubic_High m-3m,{011},0.47140452,-0.33333333
+1,Goss,432,Cubic_High m-3m,{011},0.47140452,0.33333333
+1,Goss,432,Cubic_High m-3m,{011},0.47140452,0.33333333
+1,Goss,432,Cubic_High m-3m,{111},-0.31783725,0.00000000
+1,Goss,432,Cubic_High m-3m,{111},-0.31783725,0.00000000
+1,Goss,432,Cubic_High m-3m,{111},0.31783725,0.00000000
+1,Goss,432,Cubic_High m-3m,{111},0.31783725,0.00000000
+1,Goss,432,Cubic_High m-3m,{111},0.57735027,-0.81649658
+1,Goss,432,Cubic_High m-3m,{111},0.57735027,-0.81649658
+1,Goss,432,Cubic_High m-3m,{111},0.57735027,0.81649658
+1,Goss,432,Cubic_High m-3m,{111},0.57735027,0.81649658
+1,Goss,23,Cubic_Low m-3,{001},0.00000000,-0.41421356
+1,Goss,23,Cubic_Low m-3,{001},0.00000000,-0.41421356
+1,Goss,23,Cubic_Low m-3,{001},-0.00000000,0.41421356
+1,Goss,23,Cubic_Low m-3,{001},-0.00000000,0.41421356
+1,Goss,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+1,Goss,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+1,Goss,23,Cubic_Low m-3,{011},-0.47140452,-0.33333333
+1,Goss,23,Cubic_Low m-3,{011},-0.47140452,-0.33333333
+1,Goss,23,Cubic_Low m-3,{011},-0.47140452,0.33333333
+1,Goss,23,Cubic_Low m-3,{011},-0.47140452,0.33333333
+1,Goss,23,Cubic_Low m-3,{011},0.00000000,-1.00000000
+1,Goss,23,Cubic_Low m-3,{011},0.00000000,-1.00000000
+1,Goss,23,Cubic_Low m-3,{011},-0.00000000,-0.00000000
+1,Goss,23,Cubic_Low m-3,{011},-0.00000000,-0.00000000
+1,Goss,23,Cubic_Low m-3,{011},0.47140452,-0.33333333
+1,Goss,23,Cubic_Low m-3,{011},0.47140452,-0.33333333
+1,Goss,23,Cubic_Low m-3,{011},0.47140452,0.33333333
+1,Goss,23,Cubic_Low m-3,{011},0.47140452,0.33333333
+1,Goss,23,Cubic_Low m-3,{111},-0.57735027,-0.81649658
+1,Goss,23,Cubic_Low m-3,{111},-0.57735027,-0.81649658
+1,Goss,23,Cubic_Low m-3,{111},-0.31783725,-0.00000000
+1,Goss,23,Cubic_Low m-3,{111},-0.31783725,-0.00000000
+1,Goss,23,Cubic_Low m-3,{111},0.31783725,0.00000000
+1,Goss,23,Cubic_Low m-3,{111},0.31783725,0.00000000
+1,Goss,23,Cubic_Low m-3,{111},0.57735027,-0.81649658
+1,Goss,23,Cubic_Low m-3,{111},0.57735027,-0.81649658
+1,Goss,622,Hexagonal_High 6/mmm,{0001},0.00000000,-0.41421356
+1,Goss,622,Hexagonal_High 6/mmm,{0001},0.00000000,-0.41421356
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},-0.31010205,0.37979590
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},-0.31010205,0.37979590
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},0.31010205,0.37979590
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},0.31010205,0.37979590
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},1.00000000,0.00000000
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},1.00000000,0.00000000
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},-0.63981621,0.26120387
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},-0.63981621,0.26120387
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},-0.00000000,0.41421356
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},-0.00000000,0.41421356
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},0.63981621,0.26120387
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},0.63981621,0.26120387
+1,Goss,6,Hexagonal_Low 6/m,{0001},0.00000000,-0.41421356
+1,Goss,6,Hexagonal_Low 6/m,{0001},0.00000000,-0.41421356
+1,Goss,6,Hexagonal_Low 6/m,{10-10},-0.31010205,0.37979590
+1,Goss,6,Hexagonal_Low 6/m,{10-10},-0.31010205,0.37979590
+1,Goss,6,Hexagonal_Low 6/m,{10-10},0.31010205,0.37979590
+1,Goss,6,Hexagonal_Low 6/m,{10-10},0.31010205,0.37979590
+1,Goss,6,Hexagonal_Low 6/m,{10-10},1.00000000,0.00000000
+1,Goss,6,Hexagonal_Low 6/m,{10-10},1.00000000,0.00000000
+1,Goss,6,Hexagonal_Low 6/m,{11-20},-0.63981621,0.26120387
+1,Goss,6,Hexagonal_Low 6/m,{11-20},-0.63981621,0.26120387
+1,Goss,6,Hexagonal_Low 6/m,{11-20},-0.00000000,0.41421356
+1,Goss,6,Hexagonal_Low 6/m,{11-20},-0.00000000,0.41421356
+1,Goss,6,Hexagonal_Low 6/m,{11-20},0.63981621,0.26120387
+1,Goss,6,Hexagonal_Low 6/m,{11-20},0.63981621,0.26120387
+1,Goss,32,Trigonal_High -3m,{0001},0.00000000,-0.41421356
+1,Goss,32,Trigonal_High -3m,{0001},0.00000000,-0.41421356
+1,Goss,32,Trigonal_High -3m,{0-110},-0.31010205,0.37979590
+1,Goss,32,Trigonal_High -3m,{0-110},-0.31010205,0.37979590
+1,Goss,32,Trigonal_High -3m,{0-110},0.31010205,0.37979590
+1,Goss,32,Trigonal_High -3m,{0-110},0.31010205,0.37979590
+1,Goss,32,Trigonal_High -3m,{0-110},1.00000000,0.00000000
+1,Goss,32,Trigonal_High -3m,{0-110},1.00000000,0.00000000
+1,Goss,32,Trigonal_High -3m,{1-100},-0.31010205,0.37979590
+1,Goss,32,Trigonal_High -3m,{1-100},-0.31010205,0.37979590
+1,Goss,32,Trigonal_High -3m,{1-100},0.31010205,0.37979590
+1,Goss,32,Trigonal_High -3m,{1-100},0.31010205,0.37979590
+1,Goss,32,Trigonal_High -3m,{1-100},1.00000000,0.00000000
+1,Goss,32,Trigonal_High -3m,{1-100},1.00000000,0.00000000
+1,Goss,3,Trigonal_Low -3,{0001},0.00000000,-0.41421356
+1,Goss,3,Trigonal_Low -3,{0001},0.00000000,-0.41421356
+1,Goss,3,Trigonal_Low -3,{-1-120},-0.63981621,0.26120387
+1,Goss,3,Trigonal_Low -3,{-1-120},-0.63981621,0.26120387
+1,Goss,3,Trigonal_Low -3,{-1-120},-0.00000000,0.41421356
+1,Goss,3,Trigonal_Low -3,{-1-120},-0.00000000,0.41421356
+1,Goss,3,Trigonal_Low -3,{-1-120},0.63981621,0.26120387
+1,Goss,3,Trigonal_Low -3,{-1-120},0.63981621,0.26120387
+1,Goss,3,Trigonal_Low -3,{2-1-10},-0.63981621,0.26120387
+1,Goss,3,Trigonal_Low -3,{2-1-10},-0.63981621,0.26120387
+1,Goss,3,Trigonal_Low -3,{2-1-10},-0.00000000,0.41421356
+1,Goss,3,Trigonal_Low -3,{2-1-10},-0.00000000,0.41421356
+1,Goss,3,Trigonal_Low -3,{2-1-10},0.63981621,0.26120387
+1,Goss,3,Trigonal_Low -3,{2-1-10},0.63981621,0.26120387
+1,Goss,422,Tetragonal_High 4/mmm,{001},0.00000000,-0.41421356
+1,Goss,422,Tetragonal_High 4/mmm,{001},0.00000000,-0.41421356
+1,Goss,422,Tetragonal_High 4/mmm,{100},-0.00000000,0.41421356
+1,Goss,422,Tetragonal_High 4/mmm,{100},-0.00000000,0.41421356
+1,Goss,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+1,Goss,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+1,Goss,422,Tetragonal_High 4/mmm,{110},-0.47140452,0.33333333
+1,Goss,422,Tetragonal_High 4/mmm,{110},-0.47140452,0.33333333
+1,Goss,422,Tetragonal_High 4/mmm,{110},0.47140452,0.33333333
+1,Goss,422,Tetragonal_High 4/mmm,{110},0.47140452,0.33333333
+1,Goss,4,Tetragonal_Low 4/m,{001},0.00000000,-0.41421356
+1,Goss,4,Tetragonal_Low 4/m,{001},0.00000000,-0.41421356
+1,Goss,4,Tetragonal_Low 4/m,{100},-0.00000000,0.41421356
+1,Goss,4,Tetragonal_Low 4/m,{100},-0.00000000,0.41421356
+1,Goss,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+1,Goss,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+1,Goss,4,Tetragonal_Low 4/m,{110},-0.47140452,0.33333333
+1,Goss,4,Tetragonal_Low 4/m,{110},-0.47140452,0.33333333
+1,Goss,4,Tetragonal_Low 4/m,{110},0.47140452,0.33333333
+1,Goss,4,Tetragonal_Low 4/m,{110},0.47140452,0.33333333
+1,Goss,222,OrthoRhombic mmm,{001},0.00000000,-0.41421356
+1,Goss,222,OrthoRhombic mmm,{001},0.00000000,-0.41421356
+1,Goss,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+1,Goss,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+1,Goss,222,OrthoRhombic mmm,{010},-0.00000000,0.41421356
+1,Goss,222,OrthoRhombic mmm,{010},-0.00000000,0.41421356
+1,Goss,2,Monoclinic 2/m,{001},0.00000000,-0.41421356
+1,Goss,2,Monoclinic 2/m,{001},0.00000000,-0.41421356
+1,Goss,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+1,Goss,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+1,Goss,2,Monoclinic 2/m,{010},-0.00000000,0.41421356
+1,Goss,2,Monoclinic 2/m,{010},-0.00000000,0.41421356
+1,Goss,1,Triclinic -1,{001},0.00000000,-0.41421356
+1,Goss,1,Triclinic -1,{001},0.00000000,-0.41421356
+1,Goss,1,Triclinic -1,{100},1.00000000,0.00000000
+1,Goss,1,Triclinic -1,{100},1.00000000,0.00000000
+1,Goss,1,Triclinic -1,{010},-0.00000000,0.41421356
+1,Goss,1,Triclinic -1,{010},-0.00000000,0.41421356
+2,Brass,432,Cubic_High m-3m,{001},-0.23758314,0.33930389
+2,Brass,432,Cubic_High m-3m,{001},-0.23758314,0.33930389
+2,Brass,432,Cubic_High m-3m,{001},0.23758314,-0.33930389
+2,Brass,432,Cubic_High m-3m,{001},0.23758314,-0.33930389
+2,Brass,432,Cubic_High m-3m,{001},0.81915204,0.57357644
+2,Brass,432,Cubic_High m-3m,{001},0.81915204,0.57357644
+2,Brass,432,Cubic_High m-3m,{011},-0.57734412,0.00266416
+2,Brass,432,Cubic_High m-3m,{011},-0.57734412,0.00266416
+2,Brass,432,Cubic_High m-3m,{011},-0.57357644,0.81915204
+2,Brass,432,Cubic_High m-3m,{011},-0.19495983,-0.54343721
+2,Brass,432,Cubic_High m-3m,{011},-0.19495983,-0.54343721
+2,Brass,432,Cubic_High m-3m,{011},-0.00000000,-0.00000000
+2,Brass,432,Cubic_High m-3m,{011},-0.00000000,-0.00000000
+2,Brass,432,Cubic_High m-3m,{011},0.19495983,0.54343721
+2,Brass,432,Cubic_High m-3m,{011},0.19495983,0.54343721
+2,Brass,432,Cubic_High m-3m,{011},0.57357644,-0.81915204
+2,Brass,432,Cubic_High m-3m,{011},0.57734412,-0.00266416
+2,Brass,432,Cubic_High m-3m,{011},0.57734412,-0.00266416
+2,Brass,432,Cubic_High m-3m,{111},-0.26035703,-0.18230395
+2,Brass,432,Cubic_High m-3m,{111},-0.26035703,-0.18230395
+2,Brass,432,Cubic_High m-3m,{111},0.00461445,0.99998935
+2,Brass,432,Cubic_High m-3m,{111},0.00461445,0.99998935
+2,Brass,432,Cubic_High m-3m,{111},0.26035703,0.18230395
+2,Brass,432,Cubic_High m-3m,{111},0.26035703,0.18230395
+2,Brass,432,Cubic_High m-3m,{111},0.94126085,-0.33768033
+2,Brass,432,Cubic_High m-3m,{111},0.94126085,-0.33768033
+2,Brass,23,Cubic_Low m-3,{001},-0.23758314,0.33930389
+2,Brass,23,Cubic_Low m-3,{001},-0.23758314,0.33930389
+2,Brass,23,Cubic_Low m-3,{001},0.23758314,-0.33930389
+2,Brass,23,Cubic_Low m-3,{001},0.23758314,-0.33930389
+2,Brass,23,Cubic_Low m-3,{001},0.81915204,0.57357644
+2,Brass,23,Cubic_Low m-3,{001},0.81915204,0.57357644
+2,Brass,23,Cubic_Low m-3,{011},-0.57734412,0.00266416
+2,Brass,23,Cubic_Low m-3,{011},-0.57734412,0.00266416
+2,Brass,23,Cubic_Low m-3,{011},-0.57357644,0.81915204
+2,Brass,23,Cubic_Low m-3,{011},-0.57357644,0.81915204
+2,Brass,23,Cubic_Low m-3,{011},-0.19495983,-0.54343721
+2,Brass,23,Cubic_Low m-3,{011},-0.19495983,-0.54343721
+2,Brass,23,Cubic_Low m-3,{011},-0.00000000,-0.00000000
+2,Brass,23,Cubic_Low m-3,{011},-0.00000000,-0.00000000
+2,Brass,23,Cubic_Low m-3,{011},0.19495983,0.54343721
+2,Brass,23,Cubic_Low m-3,{011},0.19495983,0.54343721
+2,Brass,23,Cubic_Low m-3,{011},0.57734412,-0.00266416
+2,Brass,23,Cubic_Low m-3,{011},0.57734412,-0.00266416
+2,Brass,23,Cubic_Low m-3,{111},-0.94126085,0.33768033
+2,Brass,23,Cubic_Low m-3,{111},-0.94126085,0.33768033
+2,Brass,23,Cubic_Low m-3,{111},-0.26035703,-0.18230395
+2,Brass,23,Cubic_Low m-3,{111},-0.26035703,-0.18230395
+2,Brass,23,Cubic_Low m-3,{111},0.00461445,0.99998935
+2,Brass,23,Cubic_Low m-3,{111},0.00461445,0.99998935
+2,Brass,23,Cubic_Low m-3,{111},0.26035703,0.18230395
+2,Brass,23,Cubic_Low m-3,{111},0.26035703,0.18230395
+2,Brass,622,Hexagonal_High 6/mmm,{0001},0.23758314,-0.33930389
+2,Brass,622,Hexagonal_High 6/mmm,{0001},0.23758314,-0.33930389
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},-0.47186271,0.13324336
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},-0.47186271,0.13324336
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},0.03617875,0.48897782
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},0.03617875,0.48897782
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},0.81915204,0.57357644
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},0.81915204,0.57357644
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},-0.67392715,-0.15301781
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},-0.67392715,-0.15301781
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},-0.23758314,0.33930389
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},-0.23758314,0.33930389
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},0.37428637,0.58094919
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},0.37428637,0.58094919
+2,Brass,6,Hexagonal_Low 6/m,{0001},0.23758314,-0.33930389
+2,Brass,6,Hexagonal_Low 6/m,{0001},0.23758314,-0.33930389
+2,Brass,6,Hexagonal_Low 6/m,{10-10},-0.47186271,0.13324336
+2,Brass,6,Hexagonal_Low 6/m,{10-10},-0.47186271,0.13324336
+2,Brass,6,Hexagonal_Low 6/m,{10-10},0.03617875,0.48897782
+2,Brass,6,Hexagonal_Low 6/m,{10-10},0.03617875,0.48897782
+2,Brass,6,Hexagonal_Low 6/m,{10-10},0.81915204,0.57357644
+2,Brass,6,Hexagonal_Low 6/m,{10-10},0.81915204,0.57357644
+2,Brass,6,Hexagonal_Low 6/m,{11-20},-0.67392715,-0.15301781
+2,Brass,6,Hexagonal_Low 6/m,{11-20},-0.67392715,-0.15301781
+2,Brass,6,Hexagonal_Low 6/m,{11-20},-0.23758314,0.33930389
+2,Brass,6,Hexagonal_Low 6/m,{11-20},-0.23758314,0.33930389
+2,Brass,6,Hexagonal_Low 6/m,{11-20},0.37428637,0.58094919
+2,Brass,6,Hexagonal_Low 6/m,{11-20},0.37428637,0.58094919
+2,Brass,32,Trigonal_High -3m,{0001},0.23758314,-0.33930389
+2,Brass,32,Trigonal_High -3m,{0001},0.23758314,-0.33930389
+2,Brass,32,Trigonal_High -3m,{0-110},-0.47186271,0.13324336
+2,Brass,32,Trigonal_High -3m,{0-110},-0.47186271,0.13324336
+2,Brass,32,Trigonal_High -3m,{0-110},0.03617875,0.48897782
+2,Brass,32,Trigonal_High -3m,{0-110},0.03617875,0.48897782
+2,Brass,32,Trigonal_High -3m,{0-110},0.81915204,0.57357644
+2,Brass,32,Trigonal_High -3m,{0-110},0.81915204,0.57357644
+2,Brass,32,Trigonal_High -3m,{1-100},-0.47186271,0.13324336
+2,Brass,32,Trigonal_High -3m,{1-100},-0.47186271,0.13324336
+2,Brass,32,Trigonal_High -3m,{1-100},0.03617875,0.48897782
+2,Brass,32,Trigonal_High -3m,{1-100},0.03617875,0.48897782
+2,Brass,32,Trigonal_High -3m,{1-100},0.81915204,0.57357644
+2,Brass,32,Trigonal_High -3m,{1-100},0.81915204,0.57357644
+2,Brass,3,Trigonal_Low -3,{0001},0.23758314,-0.33930389
+2,Brass,3,Trigonal_Low -3,{0001},0.23758314,-0.33930389
+2,Brass,3,Trigonal_Low -3,{-1-120},-0.67392715,-0.15301781
+2,Brass,3,Trigonal_Low -3,{-1-120},-0.67392715,-0.15301781
+2,Brass,3,Trigonal_Low -3,{-1-120},-0.23758314,0.33930389
+2,Brass,3,Trigonal_Low -3,{-1-120},-0.23758314,0.33930389
+2,Brass,3,Trigonal_Low -3,{-1-120},0.37428637,0.58094919
+2,Brass,3,Trigonal_Low -3,{-1-120},0.37428637,0.58094919
+2,Brass,3,Trigonal_Low -3,{2-1-10},-0.67392715,-0.15301781
+2,Brass,3,Trigonal_Low -3,{2-1-10},-0.67392715,-0.15301781
+2,Brass,3,Trigonal_Low -3,{2-1-10},-0.23758314,0.33930389
+2,Brass,3,Trigonal_Low -3,{2-1-10},-0.23758314,0.33930389
+2,Brass,3,Trigonal_Low -3,{2-1-10},0.37428637,0.58094919
+2,Brass,3,Trigonal_Low -3,{2-1-10},0.37428637,0.58094919
+2,Brass,422,Tetragonal_High 4/mmm,{001},0.23758314,-0.33930389
+2,Brass,422,Tetragonal_High 4/mmm,{001},0.23758314,-0.33930389
+2,Brass,422,Tetragonal_High 4/mmm,{100},-0.23758314,0.33930389
+2,Brass,422,Tetragonal_High 4/mmm,{100},-0.23758314,0.33930389
+2,Brass,422,Tetragonal_High 4/mmm,{100},0.81915204,0.57357644
+2,Brass,422,Tetragonal_High 4/mmm,{100},0.81915204,0.57357644
+2,Brass,422,Tetragonal_High 4/mmm,{110},-0.57734412,0.00266416
+2,Brass,422,Tetragonal_High 4/mmm,{110},-0.57734412,0.00266416
+2,Brass,422,Tetragonal_High 4/mmm,{110},0.19495983,0.54343721
+2,Brass,422,Tetragonal_High 4/mmm,{110},0.19495983,0.54343721
+2,Brass,4,Tetragonal_Low 4/m,{001},0.23758314,-0.33930389
+2,Brass,4,Tetragonal_Low 4/m,{001},0.23758314,-0.33930389
+2,Brass,4,Tetragonal_Low 4/m,{100},-0.23758314,0.33930389
+2,Brass,4,Tetragonal_Low 4/m,{100},-0.23758314,0.33930389
+2,Brass,4,Tetragonal_Low 4/m,{100},0.81915204,0.57357644
+2,Brass,4,Tetragonal_Low 4/m,{100},0.81915204,0.57357644
+2,Brass,4,Tetragonal_Low 4/m,{110},-0.57734412,0.00266416
+2,Brass,4,Tetragonal_Low 4/m,{110},-0.57734412,0.00266416
+2,Brass,4,Tetragonal_Low 4/m,{110},0.19495983,0.54343721
+2,Brass,4,Tetragonal_Low 4/m,{110},0.19495983,0.54343721
+2,Brass,222,OrthoRhombic mmm,{001},0.23758314,-0.33930389
+2,Brass,222,OrthoRhombic mmm,{001},0.23758314,-0.33930389
+2,Brass,222,OrthoRhombic mmm,{100},0.81915204,0.57357644
+2,Brass,222,OrthoRhombic mmm,{100},0.81915204,0.57357644
+2,Brass,222,OrthoRhombic mmm,{010},-0.23758314,0.33930389
+2,Brass,222,OrthoRhombic mmm,{010},-0.23758314,0.33930389
+2,Brass,2,Monoclinic 2/m,{001},0.23758314,-0.33930389
+2,Brass,2,Monoclinic 2/m,{001},0.23758314,-0.33930389
+2,Brass,2,Monoclinic 2/m,{100},0.81915204,0.57357644
+2,Brass,2,Monoclinic 2/m,{100},0.81915204,0.57357644
+2,Brass,2,Monoclinic 2/m,{010},-0.23758314,0.33930389
+2,Brass,2,Monoclinic 2/m,{010},-0.23758314,0.33930389
+2,Brass,1,Triclinic -1,{001},0.23758314,-0.33930389
+2,Brass,1,Triclinic -1,{001},0.23758314,-0.33930389
+2,Brass,1,Triclinic -1,{100},0.81915204,0.57357644
+2,Brass,1,Triclinic -1,{100},0.81915204,0.57357644
+2,Brass,1,Triclinic -1,{010},-0.23758314,0.33930389
+2,Brass,1,Triclinic -1,{010},-0.23758314,0.33930389
+3,Copper,432,Cubic_High m-3m,{001},-0.41209184,-0.50307125
+3,Copper,432,Cubic_High m-3m,{001},-0.41209184,-0.50307125
+3,Copper,432,Cubic_High m-3m,{001},-0.41209184,0.50307125
+3,Copper,432,Cubic_High m-3m,{001},-0.41209184,0.50307125
+3,Copper,432,Cubic_High m-3m,{001},0.31529879,0.00000000
+3,Copper,432,Cubic_High m-3m,{001},0.31529879,0.00000000
+3,Copper,432,Cubic_High m-3m,{011},-0.52056705,0.00000000
+3,Copper,432,Cubic_High m-3m,{011},-0.52056705,0.00000000
+3,Copper,432,Cubic_High m-3m,{011},-0.00214159,-0.26795052
+3,Copper,432,Cubic_High m-3m,{011},-0.00214159,-0.26795052
+3,Copper,432,Cubic_High m-3m,{011},-0.00214159,0.26795052
+3,Copper,432,Cubic_High m-3m,{011},-0.00214159,0.26795052
+3,Copper,432,Cubic_High m-3m,{011},0.00000000,1.00000000
+3,Copper,432,Cubic_High m-3m,{011},0.00000000,1.00000000
+3,Copper,432,Cubic_High m-3m,{011},0.63071088,-0.38686523
+3,Copper,432,Cubic_High m-3m,{011},0.63071088,-0.38686523
+3,Copper,432,Cubic_High m-3m,{011},0.63071088,0.38686523
+3,Copper,432,Cubic_High m-3m,{011},0.63071088,0.38686523
+3,Copper,432,Cubic_High m-3m,{111},-0.17394897,-0.00000000
+3,Copper,432,Cubic_High m-3m,{111},-0.17394897,-0.00000000
+3,Copper,432,Cubic_High m-3m,{111},0.22482588,-0.55433207
+3,Copper,432,Cubic_High m-3m,{111},0.22482588,-0.55433207
+3,Copper,432,Cubic_High m-3m,{111},0.22482588,0.55433207
+3,Copper,432,Cubic_High m-3m,{111},0.22482588,0.55433207
+3,Copper,432,Cubic_High m-3m,{111},0.99539614,-0.00000000
+3,Copper,432,Cubic_High m-3m,{111},0.99539614,0.00000000
+3,Copper,23,Cubic_Low m-3,{001},-0.41209184,-0.50307125
+3,Copper,23,Cubic_Low m-3,{001},-0.41209184,-0.50307125
+3,Copper,23,Cubic_Low m-3,{001},-0.41209184,0.50307125
+3,Copper,23,Cubic_Low m-3,{001},-0.41209184,0.50307125
+3,Copper,23,Cubic_Low m-3,{001},0.31529879,0.00000000
+3,Copper,23,Cubic_Low m-3,{001},0.31529879,0.00000000
+3,Copper,23,Cubic_Low m-3,{011},-0.52056705,0.00000000
+3,Copper,23,Cubic_Low m-3,{011},-0.52056705,0.00000000
+3,Copper,23,Cubic_Low m-3,{011},-0.00214159,-0.26795052
+3,Copper,23,Cubic_Low m-3,{011},-0.00214159,-0.26795052
+3,Copper,23,Cubic_Low m-3,{011},-0.00214159,0.26795052
+3,Copper,23,Cubic_Low m-3,{011},-0.00214159,0.26795052
+3,Copper,23,Cubic_Low m-3,{011},0.00000000,1.00000000
+3,Copper,23,Cubic_Low m-3,{011},0.00000000,1.00000000
+3,Copper,23,Cubic_Low m-3,{011},0.63071088,-0.38686523
+3,Copper,23,Cubic_Low m-3,{011},0.63071088,-0.38686523
+3,Copper,23,Cubic_Low m-3,{011},0.63071088,0.38686523
+3,Copper,23,Cubic_Low m-3,{011},0.63071088,0.38686523
+3,Copper,23,Cubic_Low m-3,{111},-0.17394897,-0.00000000
+3,Copper,23,Cubic_Low m-3,{111},-0.17394897,-0.00000000
+3,Copper,23,Cubic_Low m-3,{111},0.22482588,-0.55433207
+3,Copper,23,Cubic_Low m-3,{111},0.22482588,-0.55433207
+3,Copper,23,Cubic_Low m-3,{111},0.22482588,0.55433207
+3,Copper,23,Cubic_Low m-3,{111},0.22482588,0.55433207
+3,Copper,23,Cubic_Low m-3,{111},0.99539614,-0.00000000
+3,Copper,23,Cubic_Low m-3,{111},0.99539614,-0.00000000
+3,Copper,622,Hexagonal_High 6/mmm,{0001},0.31529879,-0.00000000
+3,Copper,622,Hexagonal_High 6/mmm,{0001},0.31529879,-0.00000000
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.50915294,-0.16654676
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.50915294,-0.16654676
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.41209184,0.50307125
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.41209184,0.50307125
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.18460681,-0.84106728
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.18460681,-0.84106728
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.50915294,0.16654676
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.50915294,0.16654676
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.41209184,-0.50307125
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.41209184,-0.50307125
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.18460681,0.84106728
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.18460681,0.84106728
+3,Copper,6,Hexagonal_Low 6/m,{0001},0.31529879,-0.00000000
+3,Copper,6,Hexagonal_Low 6/m,{0001},0.31529879,-0.00000000
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.50915294,-0.16654676
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.50915294,-0.16654676
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.41209184,0.50307125
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.41209184,0.50307125
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.18460681,-0.84106728
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.18460681,-0.84106728
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.50915294,0.16654676
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.50915294,0.16654676
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.41209184,-0.50307125
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.41209184,-0.50307125
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.18460681,0.84106728
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.18460681,0.84106728
+3,Copper,32,Trigonal_High -3m,{0001},0.31529879,-0.00000000
+3,Copper,32,Trigonal_High -3m,{0001},0.31529879,-0.00000000
+3,Copper,32,Trigonal_High -3m,{0-110},-0.50915294,-0.16654676
+3,Copper,32,Trigonal_High -3m,{0-110},-0.50915294,-0.16654676
+3,Copper,32,Trigonal_High -3m,{0-110},-0.41209184,0.50307125
+3,Copper,32,Trigonal_High -3m,{0-110},-0.41209184,0.50307125
+3,Copper,32,Trigonal_High -3m,{0-110},-0.18460681,-0.84106728
+3,Copper,32,Trigonal_High -3m,{0-110},-0.18460681,-0.84106728
+3,Copper,32,Trigonal_High -3m,{1-100},-0.50915294,-0.16654676
+3,Copper,32,Trigonal_High -3m,{1-100},-0.50915294,-0.16654676
+3,Copper,32,Trigonal_High -3m,{1-100},-0.41209184,0.50307125
+3,Copper,32,Trigonal_High -3m,{1-100},-0.41209184,0.50307125
+3,Copper,32,Trigonal_High -3m,{1-100},-0.18460681,-0.84106728
+3,Copper,32,Trigonal_High -3m,{1-100},-0.18460681,-0.84106728
+3,Copper,3,Trigonal_Low -3,{0001},0.31529879,-0.00000000
+3,Copper,3,Trigonal_Low -3,{0001},0.31529879,-0.00000000
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.50915294,0.16654676
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.50915294,0.16654676
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.41209184,-0.50307125
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.41209184,-0.50307125
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.18460681,0.84106728
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.18460681,0.84106728
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.50915294,0.16654676
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.50915294,0.16654676
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.41209184,-0.50307125
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.41209184,-0.50307125
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.18460681,0.84106728
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.18460681,0.84106728
+3,Copper,422,Tetragonal_High 4/mmm,{001},0.31529879,0.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{001},0.31529879,0.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{100},-0.41209184,-0.50307125
+3,Copper,422,Tetragonal_High 4/mmm,{100},-0.41209184,-0.50307125
+3,Copper,422,Tetragonal_High 4/mmm,{100},-0.41209184,0.50307125
+3,Copper,422,Tetragonal_High 4/mmm,{100},-0.41209184,0.50307125
+3,Copper,422,Tetragonal_High 4/mmm,{110},-0.52056705,-0.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{110},-0.52056705,-0.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{110},-0.00000000,1.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{110},-0.00000000,1.00000000
+3,Copper,4,Tetragonal_Low 4/m,{001},0.31529879,0.00000000
+3,Copper,4,Tetragonal_Low 4/m,{001},0.31529879,0.00000000
+3,Copper,4,Tetragonal_Low 4/m,{100},-0.41209184,-0.50307125
+3,Copper,4,Tetragonal_Low 4/m,{100},-0.41209184,-0.50307125
+3,Copper,4,Tetragonal_Low 4/m,{100},-0.41209184,0.50307125
+3,Copper,4,Tetragonal_Low 4/m,{100},-0.41209184,0.50307125
+3,Copper,4,Tetragonal_Low 4/m,{110},-0.52056705,-0.00000000
+3,Copper,4,Tetragonal_Low 4/m,{110},-0.52056705,-0.00000000
+3,Copper,4,Tetragonal_Low 4/m,{110},0.00000000,-1.00000000
+3,Copper,4,Tetragonal_Low 4/m,{110},-0.00000000,-1.00000000
+3,Copper,222,OrthoRhombic mmm,{001},0.31529879,0.00000000
+3,Copper,222,OrthoRhombic mmm,{001},0.31529879,0.00000000
+3,Copper,222,OrthoRhombic mmm,{100},-0.41209184,0.50307125
+3,Copper,222,OrthoRhombic mmm,{100},-0.41209184,0.50307125
+3,Copper,222,OrthoRhombic mmm,{010},-0.41209184,-0.50307125
+3,Copper,222,OrthoRhombic mmm,{010},-0.41209184,-0.50307125
+3,Copper,2,Monoclinic 2/m,{001},0.31529879,0.00000000
+3,Copper,2,Monoclinic 2/m,{001},0.31529879,0.00000000
+3,Copper,2,Monoclinic 2/m,{100},-0.41209184,0.50307125
+3,Copper,2,Monoclinic 2/m,{100},-0.41209184,0.50307125
+3,Copper,2,Monoclinic 2/m,{010},-0.41209184,-0.50307125
+3,Copper,2,Monoclinic 2/m,{010},-0.41209184,-0.50307125
+3,Copper,1,Triclinic -1,{001},0.31529879,0.00000000
+3,Copper,1,Triclinic -1,{001},0.31529879,0.00000000
+3,Copper,1,Triclinic -1,{100},-0.41209184,0.50307125
+3,Copper,1,Triclinic -1,{100},-0.41209184,0.50307125
+3,Copper,1,Triclinic -1,{010},-0.41209184,-0.50307125
+3,Copper,1,Triclinic -1,{010},-0.41209184,-0.50307125
+4,S,432,Cubic_High m-3m,{001},-0.60452159,-0.45318449
+4,S,432,Cubic_High m-3m,{001},-0.60452159,-0.45318449
+4,S,432,Cubic_High m-3m,{001},-0.24484029,0.49188327
+4,S,432,Cubic_High m-3m,{001},-0.24484029,0.49188327
+4,S,432,Cubic_High m-3m,{001},0.28680417,-0.17232933
+4,S,432,Cubic_High m-3m,{001},0.28680417,-0.17232933
+4,S,432,Cubic_High m-3m,{011},-0.51528578,0.08033568
+4,S,432,Cubic_High m-3m,{011},-0.51528578,0.08033568
+4,S,432,Cubic_High m-3m,{011},-0.10210173,-0.35677249
+4,S,432,Cubic_High m-3m,{011},-0.10210173,-0.35677249
+4,S,432,Cubic_High m-3m,{011},0.05082713,0.16212166
+4,S,432,Cubic_High m-3m,{011},0.05082713,0.16212166
+4,S,432,Cubic_High m-3m,{011},0.23465019,0.79455715
+4,S,432,Cubic_High m-3m,{011},0.23465019,0.79455715
+4,S,432,Cubic_High m-3m,{011},0.53201127,-0.63556087
+4,S,432,Cubic_High m-3m,{011},0.53201127,-0.63556087
+4,S,432,Cubic_High m-3m,{011},0.66277774,0.13767834
+4,S,432,Cubic_High m-3m,{011},0.66277774,0.13767834
+4,S,432,Cubic_High m-3m,{111},-0.95342022,0.28034255
+4,S,432,Cubic_High m-3m,{111},-0.95342022,0.28034255
+4,S,432,Cubic_High m-3m,{111},-0.18860386,-0.03931558
+4,S,432,Cubic_High m-3m,{111},-0.18860386,-0.03931558
+4,S,432,Cubic_High m-3m,{111},0.05393038,-0.72435237
+4,S,432,Cubic_High m-3m,{111},0.05393038,-0.72435237
+4,S,432,Cubic_High m-3m,{111},0.32552487,0.36607030
+4,S,432,Cubic_High m-3m,{111},0.32552487,0.36607030
+4,S,23,Cubic_Low m-3,{001},-0.60452159,-0.45318449
+4,S,23,Cubic_Low m-3,{001},-0.60452159,-0.45318449
+4,S,23,Cubic_Low m-3,{001},-0.24484029,0.49188327
+4,S,23,Cubic_Low m-3,{001},-0.24484029,0.49188327
+4,S,23,Cubic_Low m-3,{001},0.28680417,-0.17232933
+4,S,23,Cubic_Low m-3,{001},0.28680417,-0.17232933
+4,S,23,Cubic_Low m-3,{011},-0.51528578,0.08033568
+4,S,23,Cubic_Low m-3,{011},-0.51528578,0.08033568
+4,S,23,Cubic_Low m-3,{011},-0.10210173,-0.35677249
+4,S,23,Cubic_Low m-3,{011},-0.10210173,-0.35677249
+4,S,23,Cubic_Low m-3,{011},0.05082713,0.16212166
+4,S,23,Cubic_Low m-3,{011},0.05082713,0.16212166
+4,S,23,Cubic_Low m-3,{011},0.23465019,0.79455715
+4,S,23,Cubic_Low m-3,{011},0.23465019,0.79455715
+4,S,23,Cubic_Low m-3,{011},0.53201127,-0.63556087
+4,S,23,Cubic_Low m-3,{011},0.53201127,-0.63556087
+4,S,23,Cubic_Low m-3,{011},0.66277774,0.13767834
+4,S,23,Cubic_Low m-3,{011},0.66277774,0.13767834
+4,S,23,Cubic_Low m-3,{111},-0.95342022,0.28034255
+4,S,23,Cubic_Low m-3,{111},-0.95342022,0.28034255
+4,S,23,Cubic_Low m-3,{111},-0.18860386,-0.03931558
+4,S,23,Cubic_Low m-3,{111},-0.18860386,-0.03931558
+4,S,23,Cubic_Low m-3,{111},0.05393038,-0.72435237
+4,S,23,Cubic_Low m-3,{111},0.05393038,-0.72435237
+4,S,23,Cubic_Low m-3,{111},0.32552487,0.36607030
+4,S,23,Cubic_Low m-3,{111},0.32552487,0.36607030
+4,S,622,Hexagonal_High 6/mmm,{0001},0.28680417,-0.17232933
+4,S,622,Hexagonal_High 6/mmm,{0001},0.28680417,-0.17232933
+4,S,622,Hexagonal_High 6/mmm,{10-10},-0.56796689,-0.08099711
+4,S,622,Hexagonal_High 6/mmm,{10-10},-0.56796689,-0.08099711
+4,S,622,Hexagonal_High 6/mmm,{10-10},-0.24484029,0.49188327
+4,S,622,Hexagonal_High 6/mmm,{10-10},-0.24484029,0.49188327
+4,S,622,Hexagonal_High 6/mmm,{10-10},0.46389385,0.85072490
+4,S,622,Hexagonal_High 6/mmm,{10-10},0.46389385,0.85072490
+4,S,622,Hexagonal_High 6/mmm,{11-20},-0.60452159,-0.45318449
+4,S,622,Hexagonal_High 6/mmm,{11-20},-0.60452159,-0.45318449
+4,S,622,Hexagonal_High 6/mmm,{11-20},-0.44383848,0.22854812
+4,S,622,Hexagonal_High 6/mmm,{11-20},-0.44383848,0.22854812
+4,S,622,Hexagonal_High 6/mmm,{11-20},0.04451583,0.71014161
+4,S,622,Hexagonal_High 6/mmm,{11-20},0.04451583,0.71014161
+4,S,6,Hexagonal_Low 6/m,{0001},0.28680417,-0.17232933
+4,S,6,Hexagonal_Low 6/m,{0001},0.28680417,-0.17232933
+4,S,6,Hexagonal_Low 6/m,{10-10},-0.56796689,-0.08099711
+4,S,6,Hexagonal_Low 6/m,{10-10},-0.56796689,-0.08099711
+4,S,6,Hexagonal_Low 6/m,{10-10},-0.24484029,0.49188327
+4,S,6,Hexagonal_Low 6/m,{10-10},-0.24484029,0.49188327
+4,S,6,Hexagonal_Low 6/m,{10-10},0.46389385,0.85072490
+4,S,6,Hexagonal_Low 6/m,{10-10},0.46389385,0.85072490
+4,S,6,Hexagonal_Low 6/m,{11-20},-0.60452159,-0.45318449
+4,S,6,Hexagonal_Low 6/m,{11-20},-0.60452159,-0.45318449
+4,S,6,Hexagonal_Low 6/m,{11-20},-0.44383848,0.22854812
+4,S,6,Hexagonal_Low 6/m,{11-20},-0.44383848,0.22854812
+4,S,6,Hexagonal_Low 6/m,{11-20},0.04451583,0.71014161
+4,S,6,Hexagonal_Low 6/m,{11-20},0.04451583,0.71014161
+4,S,32,Trigonal_High -3m,{0001},0.28680417,-0.17232933
+4,S,32,Trigonal_High -3m,{0001},0.28680417,-0.17232933
+4,S,32,Trigonal_High -3m,{0-110},-0.56796689,-0.08099711
+4,S,32,Trigonal_High -3m,{0-110},-0.56796689,-0.08099711
+4,S,32,Trigonal_High -3m,{0-110},-0.24484029,0.49188327
+4,S,32,Trigonal_High -3m,{0-110},-0.24484029,0.49188327
+4,S,32,Trigonal_High -3m,{0-110},0.46389385,0.85072490
+4,S,32,Trigonal_High -3m,{0-110},0.46389385,0.85072490
+4,S,32,Trigonal_High -3m,{1-100},-0.56796689,-0.08099711
+4,S,32,Trigonal_High -3m,{1-100},-0.56796689,-0.08099711
+4,S,32,Trigonal_High -3m,{1-100},-0.24484029,0.49188327
+4,S,32,Trigonal_High -3m,{1-100},-0.24484029,0.49188327
+4,S,32,Trigonal_High -3m,{1-100},0.46389385,0.85072490
+4,S,32,Trigonal_High -3m,{1-100},0.46389385,0.85072490
+4,S,3,Trigonal_Low -3,{0001},0.28680417,-0.17232933
+4,S,3,Trigonal_Low -3,{0001},0.28680417,-0.17232933
+4,S,3,Trigonal_Low -3,{-1-120},-0.60452159,-0.45318449
+4,S,3,Trigonal_Low -3,{-1-120},-0.60452159,-0.45318449
+4,S,3,Trigonal_Low -3,{-1-120},-0.44383848,0.22854812
+4,S,3,Trigonal_Low -3,{-1-120},-0.44383848,0.22854812
+4,S,3,Trigonal_Low -3,{-1-120},0.04451583,0.71014161
+4,S,3,Trigonal_Low -3,{-1-120},0.04451583,0.71014161
+4,S,3,Trigonal_Low -3,{2-1-10},-0.60452159,-0.45318449
+4,S,3,Trigonal_Low -3,{2-1-10},-0.60452159,-0.45318449
+4,S,3,Trigonal_Low -3,{2-1-10},-0.44383848,0.22854812
+4,S,3,Trigonal_Low -3,{2-1-10},-0.44383848,0.22854812
+4,S,3,Trigonal_Low -3,{2-1-10},0.04451583,0.71014161
+4,S,3,Trigonal_Low -3,{2-1-10},0.04451583,0.71014161
+4,S,422,Tetragonal_High 4/mmm,{001},0.28680417,-0.17232933
+4,S,422,Tetragonal_High 4/mmm,{001},0.28680417,-0.17232933
+4,S,422,Tetragonal_High 4/mmm,{100},-0.60452159,-0.45318449
+4,S,422,Tetragonal_High 4/mmm,{100},-0.60452159,-0.45318449
+4,S,422,Tetragonal_High 4/mmm,{100},-0.24484029,0.49188327
+4,S,422,Tetragonal_High 4/mmm,{100},-0.24484029,0.49188327
+4,S,422,Tetragonal_High 4/mmm,{110},-0.51528578,0.08033568
+4,S,422,Tetragonal_High 4/mmm,{110},-0.51528578,0.08033568
+4,S,422,Tetragonal_High 4/mmm,{110},0.23465019,0.79455715
+4,S,422,Tetragonal_High 4/mmm,{110},0.23465019,0.79455715
+4,S,4,Tetragonal_Low 4/m,{001},0.28680417,-0.17232933
+4,S,4,Tetragonal_Low 4/m,{001},0.28680417,-0.17232933
+4,S,4,Tetragonal_Low 4/m,{100},-0.60452159,-0.45318449
+4,S,4,Tetragonal_Low 4/m,{100},-0.60452159,-0.45318449
+4,S,4,Tetragonal_Low 4/m,{100},-0.24484029,0.49188327
+4,S,4,Tetragonal_Low 4/m,{100},-0.24484029,0.49188327
+4,S,4,Tetragonal_Low 4/m,{110},-0.51528578,0.08033568
+4,S,4,Tetragonal_Low 4/m,{110},-0.51528578,0.08033568
+4,S,4,Tetragonal_Low 4/m,{110},0.23465019,0.79455715
+4,S,4,Tetragonal_Low 4/m,{110},0.23465019,0.79455715
+4,S,222,OrthoRhombic mmm,{001},0.28680417,-0.17232933
+4,S,222,OrthoRhombic mmm,{001},0.28680417,-0.17232933
+4,S,222,OrthoRhombic mmm,{100},-0.24484029,0.49188327
+4,S,222,OrthoRhombic mmm,{100},-0.24484029,0.49188327
+4,S,222,OrthoRhombic mmm,{010},-0.60452159,-0.45318449
+4,S,222,OrthoRhombic mmm,{010},-0.60452159,-0.45318449
+4,S,2,Monoclinic 2/m,{001},0.28680417,-0.17232933
+4,S,2,Monoclinic 2/m,{001},0.28680417,-0.17232933
+4,S,2,Monoclinic 2/m,{100},-0.24484029,0.49188327
+4,S,2,Monoclinic 2/m,{100},-0.24484029,0.49188327
+4,S,2,Monoclinic 2/m,{010},-0.60452159,-0.45318449
+4,S,2,Monoclinic 2/m,{010},-0.60452159,-0.45318449
+4,S,1,Triclinic -1,{001},0.28680417,-0.17232933
+4,S,1,Triclinic -1,{001},0.28680417,-0.17232933
+4,S,1,Triclinic -1,{100},-0.24484029,0.49188327
+4,S,1,Triclinic -1,{100},-0.24484029,0.49188327
+4,S,1,Triclinic -1,{010},-0.60452159,-0.45318449
+4,S,1,Triclinic -1,{010},-0.60452159,-0.45318449
+5,S1,432,Cubic_High m-3m,{001},-0.67666040,-0.43958718
+5,S1,432,Cubic_High m-3m,{001},-0.67666040,-0.43958718
+5,S1,432,Cubic_High m-3m,{001},-0.27563271,0.54803588
+5,S1,432,Cubic_High m-3m,{001},-0.27563271,0.54803588
+5,S1,432,Cubic_High m-3m,{001},0.21949113,-0.15368934
+5,S1,432,Cubic_High m-3m,{001},0.21949113,-0.15368934
+5,S1,432,Cubic_High m-3m,{011},-0.58699928,0.12695795
+5,S1,432,Cubic_High m-3m,{011},-0.58699928,0.12695795
+5,S1,432,Cubic_High m-3m,{011},-0.16458398,-0.32881732
+5,S1,432,Cubic_High m-3m,{011},-0.16458398,-0.32881732
+5,S1,432,Cubic_High m-3m,{011},0.00330698,0.18643213
+5,S1,432,Cubic_High m-3m,{011},0.00330698,0.18643213
+5,S1,432,Cubic_High m-3m,{011},0.25307574,0.80242128
+5,S1,432,Cubic_High m-3m,{011},0.25307574,0.80242128
+5,S1,432,Cubic_High m-3m,{011},0.44339083,-0.59283977
+5,S1,432,Cubic_High m-3m,{011},0.44339083,-0.59283977
+5,S1,432,Cubic_High m-3m,{011},0.59413370,0.11875112
+5,S1,432,Cubic_High m-3m,{011},0.59413370,0.11875112
+5,S1,432,Cubic_High m-3m,{111},-0.24845851,-0.00701408
+5,S1,432,Cubic_High m-3m,{111},-0.24845851,-0.00701408
+5,S1,432,Cubic_High m-3m,{111},-0.00404551,-0.68569013
+5,S1,432,Cubic_High m-3m,{111},-0.00404551,-0.68569013
+5,S1,432,Cubic_High m-3m,{111},0.29179833,0.36693564
+5,S1,432,Cubic_High m-3m,{111},0.29179833,0.36693564
+5,S1,432,Cubic_High m-3m,{111},0.84285611,-0.28479985
+5,S1,432,Cubic_High m-3m,{111},0.84285611,-0.28479985
+5,S1,23,Cubic_Low m-3,{001},-0.67666040,-0.43958718
+5,S1,23,Cubic_Low m-3,{001},-0.67666040,-0.43958718
+5,S1,23,Cubic_Low m-3,{001},-0.27563271,0.54803588
+5,S1,23,Cubic_Low m-3,{001},-0.27563271,0.54803588
+5,S1,23,Cubic_Low m-3,{001},0.21949113,-0.15368934
+5,S1,23,Cubic_Low m-3,{001},0.21949113,-0.15368934
+5,S1,23,Cubic_Low m-3,{011},-0.58699928,0.12695795
+5,S1,23,Cubic_Low m-3,{011},-0.58699928,0.12695795
+5,S1,23,Cubic_Low m-3,{011},-0.16458398,-0.32881732
+5,S1,23,Cubic_Low m-3,{011},-0.16458398,-0.32881732
+5,S1,23,Cubic_Low m-3,{011},0.00330698,0.18643213
+5,S1,23,Cubic_Low m-3,{011},0.00330698,0.18643213
+5,S1,23,Cubic_Low m-3,{011},0.25307574,0.80242128
+5,S1,23,Cubic_Low m-3,{011},0.25307574,0.80242128
+5,S1,23,Cubic_Low m-3,{011},0.44339083,-0.59283977
+5,S1,23,Cubic_Low m-3,{011},0.44339083,-0.59283977
+5,S1,23,Cubic_Low m-3,{011},0.59413370,0.11875112
+5,S1,23,Cubic_Low m-3,{011},0.59413370,0.11875112
+5,S1,23,Cubic_Low m-3,{111},-0.24845851,-0.00701408
+5,S1,23,Cubic_Low m-3,{111},-0.24845851,-0.00701408
+5,S1,23,Cubic_Low m-3,{111},-0.00404551,-0.68569013
+5,S1,23,Cubic_Low m-3,{111},-0.00404551,-0.68569013
+5,S1,23,Cubic_Low m-3,{111},0.29179833,0.36693564
+5,S1,23,Cubic_Low m-3,{111},0.29179833,0.36693564
+5,S1,23,Cubic_Low m-3,{111},0.84285611,-0.28479985
+5,S1,23,Cubic_Low m-3,{111},0.84285611,-0.28479985
+5,S1,622,Hexagonal_High 6/mmm,{0001},0.21949113,-0.15368934
+5,S1,622,Hexagonal_High 6/mmm,{0001},0.21949113,-0.15368934
+5,S1,622,Hexagonal_High 6/mmm,{10-10},-0.64565634,-0.04465702
+5,S1,622,Hexagonal_High 6/mmm,{10-10},-0.64565634,-0.04465702
+5,S1,622,Hexagonal_High 6/mmm,{10-10},-0.27563271,0.54803588
+5,S1,622,Hexagonal_High 6/mmm,{10-10},-0.27563271,0.54803588
+5,S1,622,Hexagonal_High 6/mmm,{10-10},0.48828647,0.82344401
+5,S1,622,Hexagonal_High 6/mmm,{10-10},0.48828647,0.82344401
+5,S1,622,Hexagonal_High 6/mmm,{11-20},-0.67666040,-0.43958718
+5,S1,622,Hexagonal_High 6/mmm,{11-20},-0.67666040,-0.43958718
+5,S1,622,Hexagonal_High 6/mmm,{11-20},-0.50510566,0.28265703
+5,S1,622,Hexagonal_High 6/mmm,{11-20},-0.50510566,0.28265703
+5,S1,622,Hexagonal_High 6/mmm,{11-20},0.04891828,0.74287571
+5,S1,622,Hexagonal_High 6/mmm,{11-20},0.04891828,0.74287571
+5,S1,6,Hexagonal_Low 6/m,{0001},0.21949113,-0.15368934
+5,S1,6,Hexagonal_Low 6/m,{0001},0.21949113,-0.15368934
+5,S1,6,Hexagonal_Low 6/m,{10-10},-0.64565634,-0.04465702
+5,S1,6,Hexagonal_Low 6/m,{10-10},-0.64565634,-0.04465702
+5,S1,6,Hexagonal_Low 6/m,{10-10},-0.27563271,0.54803588
+5,S1,6,Hexagonal_Low 6/m,{10-10},-0.27563271,0.54803588
+5,S1,6,Hexagonal_Low 6/m,{10-10},0.48828647,0.82344401
+5,S1,6,Hexagonal_Low 6/m,{10-10},0.48828647,0.82344401
+5,S1,6,Hexagonal_Low 6/m,{11-20},-0.67666040,-0.43958718
+5,S1,6,Hexagonal_Low 6/m,{11-20},-0.67666040,-0.43958718
+5,S1,6,Hexagonal_Low 6/m,{11-20},-0.50510566,0.28265703
+5,S1,6,Hexagonal_Low 6/m,{11-20},-0.50510566,0.28265703
+5,S1,6,Hexagonal_Low 6/m,{11-20},0.04891828,0.74287571
+5,S1,6,Hexagonal_Low 6/m,{11-20},0.04891828,0.74287571
+5,S1,32,Trigonal_High -3m,{0001},0.21949113,-0.15368934
+5,S1,32,Trigonal_High -3m,{0001},0.21949113,-0.15368934
+5,S1,32,Trigonal_High -3m,{0-110},-0.64565634,-0.04465702
+5,S1,32,Trigonal_High -3m,{0-110},-0.64565634,-0.04465702
+5,S1,32,Trigonal_High -3m,{0-110},-0.27563271,0.54803588
+5,S1,32,Trigonal_High -3m,{0-110},-0.27563271,0.54803588
+5,S1,32,Trigonal_High -3m,{0-110},0.48828647,0.82344401
+5,S1,32,Trigonal_High -3m,{0-110},0.48828647,0.82344401
+5,S1,32,Trigonal_High -3m,{1-100},-0.64565634,-0.04465702
+5,S1,32,Trigonal_High -3m,{1-100},-0.64565634,-0.04465702
+5,S1,32,Trigonal_High -3m,{1-100},-0.27563271,0.54803588
+5,S1,32,Trigonal_High -3m,{1-100},-0.27563271,0.54803588
+5,S1,32,Trigonal_High -3m,{1-100},0.48828647,0.82344401
+5,S1,32,Trigonal_High -3m,{1-100},0.48828647,0.82344401
+5,S1,3,Trigonal_Low -3,{0001},0.21949113,-0.15368934
+5,S1,3,Trigonal_Low -3,{0001},0.21949113,-0.15368934
+5,S1,3,Trigonal_Low -3,{-1-120},-0.67666040,-0.43958718
+5,S1,3,Trigonal_Low -3,{-1-120},-0.67666040,-0.43958718
+5,S1,3,Trigonal_Low -3,{-1-120},-0.50510566,0.28265703
+5,S1,3,Trigonal_Low -3,{-1-120},-0.50510566,0.28265703
+5,S1,3,Trigonal_Low -3,{-1-120},0.04891828,0.74287571
+5,S1,3,Trigonal_Low -3,{-1-120},0.04891828,0.74287571
+5,S1,3,Trigonal_Low -3,{2-1-10},-0.67666040,-0.43958718
+5,S1,3,Trigonal_Low -3,{2-1-10},-0.67666040,-0.43958718
+5,S1,3,Trigonal_Low -3,{2-1-10},-0.50510566,0.28265703
+5,S1,3,Trigonal_Low -3,{2-1-10},-0.50510566,0.28265703
+5,S1,3,Trigonal_Low -3,{2-1-10},0.04891828,0.74287571
+5,S1,3,Trigonal_Low -3,{2-1-10},0.04891828,0.74287571
+5,S1,422,Tetragonal_High 4/mmm,{001},0.21949113,-0.15368934
+5,S1,422,Tetragonal_High 4/mmm,{001},0.21949113,-0.15368934
+5,S1,422,Tetragonal_High 4/mmm,{100},-0.67666040,-0.43958718
+5,S1,422,Tetragonal_High 4/mmm,{100},-0.67666040,-0.43958718
+5,S1,422,Tetragonal_High 4/mmm,{100},-0.27563271,0.54803588
+5,S1,422,Tetragonal_High 4/mmm,{100},-0.27563271,0.54803588
+5,S1,422,Tetragonal_High 4/mmm,{110},-0.58699928,0.12695795
+5,S1,422,Tetragonal_High 4/mmm,{110},-0.58699928,0.12695795
+5,S1,422,Tetragonal_High 4/mmm,{110},0.25307574,0.80242128
+5,S1,422,Tetragonal_High 4/mmm,{110},0.25307574,0.80242128
+5,S1,4,Tetragonal_Low 4/m,{001},0.21949113,-0.15368934
+5,S1,4,Tetragonal_Low 4/m,{001},0.21949113,-0.15368934
+5,S1,4,Tetragonal_Low 4/m,{100},-0.67666040,-0.43958718
+5,S1,4,Tetragonal_Low 4/m,{100},-0.67666040,-0.43958718
+5,S1,4,Tetragonal_Low 4/m,{100},-0.27563271,0.54803588
+5,S1,4,Tetragonal_Low 4/m,{100},-0.27563271,0.54803588
+5,S1,4,Tetragonal_Low 4/m,{110},-0.58699928,0.12695795
+5,S1,4,Tetragonal_Low 4/m,{110},-0.58699928,0.12695795
+5,S1,4,Tetragonal_Low 4/m,{110},0.25307574,0.80242128
+5,S1,4,Tetragonal_Low 4/m,{110},0.25307574,0.80242128
+5,S1,222,OrthoRhombic mmm,{001},0.21949113,-0.15368934
+5,S1,222,OrthoRhombic mmm,{001},0.21949113,-0.15368934
+5,S1,222,OrthoRhombic mmm,{100},-0.27563271,0.54803588
+5,S1,222,OrthoRhombic mmm,{100},-0.27563271,0.54803588
+5,S1,222,OrthoRhombic mmm,{010},-0.67666040,-0.43958718
+5,S1,222,OrthoRhombic mmm,{010},-0.67666040,-0.43958718
+5,S1,2,Monoclinic 2/m,{001},0.21949113,-0.15368934
+5,S1,2,Monoclinic 2/m,{001},0.21949113,-0.15368934
+5,S1,2,Monoclinic 2/m,{100},-0.27563271,0.54803588
+5,S1,2,Monoclinic 2/m,{100},-0.27563271,0.54803588
+5,S1,2,Monoclinic 2/m,{010},-0.67666040,-0.43958718
+5,S1,2,Monoclinic 2/m,{010},-0.67666040,-0.43958718
+5,S1,1,Triclinic -1,{001},0.21949113,-0.15368934
+5,S1,1,Triclinic -1,{001},0.21949113,-0.15368934
+5,S1,1,Triclinic -1,{100},-0.27563271,0.54803588
+5,S1,1,Triclinic -1,{100},-0.27563271,0.54803588
+5,S1,1,Triclinic -1,{010},-0.67666040,-0.43958718
+5,S1,1,Triclinic -1,{010},-0.67666040,-0.43958718
+6,S2,432,Cubic_High m-3m,{001},-0.71285088,-0.31878850
+6,S2,432,Cubic_High m-3m,{001},-0.71285088,-0.31878850
+6,S2,432,Cubic_High m-3m,{001},-0.14878083,0.54202863
+6,S2,432,Cubic_High m-3m,{001},-0.14878083,0.54202863
+6,S2,432,Cubic_High m-3m,{001},0.22294991,-0.22294991
+6,S2,432,Cubic_High m-3m,{001},0.22294991,-0.22294991
+6,S2,432,Cubic_High m-3m,{011},-0.51081767,0.19652653
+6,S2,432,Cubic_High m-3m,{011},-0.51081767,0.19652653
+6,S2,432,Cubic_High m-3m,{011},-0.19390695,-0.32379584
+6,S2,432,Cubic_High m-3m,{011},-0.19390695,-0.32379584
+6,S2,432,Cubic_High m-3m,{011},0.06518126,0.15190139
+6,S2,432,Cubic_High m-3m,{011},0.06518126,0.15190139
+6,S2,432,Cubic_High m-3m,{011},0.36865582,-0.71745210
+6,S2,432,Cubic_High m-3m,{011},0.36865582,-0.71745210
+6,S2,432,Cubic_High m-3m,{011},0.38987231,0.72110759
+6,S2,432,Cubic_High m-3m,{011},0.38987231,0.72110759
+6,S2,432,Cubic_High m-3m,{011},0.64854511,-0.00477946
+6,S2,432,Cubic_High m-3m,{011},0.64854511,-0.00477946
+6,S2,432,Cubic_High m-3m,{111},-0.21312918,0.00668525
+6,S2,432,Cubic_High m-3m,{111},-0.21312918,0.00668525
+6,S2,432,Cubic_High m-3m,{111},-0.11168515,-0.71486516
+6,S2,432,Cubic_High m-3m,{111},-0.11168515,-0.71486516
+6,S2,432,Cubic_High m-3m,{111},0.37654403,0.28786998
+6,S2,432,Cubic_High m-3m,{111},0.37654403,0.28786998
+6,S2,432,Cubic_High m-3m,{111},0.84817392,-0.46580681
+6,S2,432,Cubic_High m-3m,{111},0.84817392,-0.46580681
+6,S2,23,Cubic_Low m-3,{001},-0.71285088,-0.31878850
+6,S2,23,Cubic_Low m-3,{001},-0.71285088,-0.31878850
+6,S2,23,Cubic_Low m-3,{001},-0.14878083,0.54202863
+6,S2,23,Cubic_Low m-3,{001},-0.14878083,0.54202863
+6,S2,23,Cubic_Low m-3,{001},0.22294991,-0.22294991
+6,S2,23,Cubic_Low m-3,{001},0.22294991,-0.22294991
+6,S2,23,Cubic_Low m-3,{011},-0.51081767,0.19652653
+6,S2,23,Cubic_Low m-3,{011},-0.51081767,0.19652653
+6,S2,23,Cubic_Low m-3,{011},-0.19390695,-0.32379584
+6,S2,23,Cubic_Low m-3,{011},-0.19390695,-0.32379584
+6,S2,23,Cubic_Low m-3,{011},0.06518126,0.15190139
+6,S2,23,Cubic_Low m-3,{011},0.06518126,0.15190139
+6,S2,23,Cubic_Low m-3,{011},0.36865582,-0.71745210
+6,S2,23,Cubic_Low m-3,{011},0.36865582,-0.71745210
+6,S2,23,Cubic_Low m-3,{011},0.38987231,0.72110759
+6,S2,23,Cubic_Low m-3,{011},0.38987231,0.72110759
+6,S2,23,Cubic_Low m-3,{011},0.64854511,-0.00477946
+6,S2,23,Cubic_Low m-3,{011},0.64854511,-0.00477946
+6,S2,23,Cubic_Low m-3,{111},-0.21312918,0.00668525
+6,S2,23,Cubic_Low m-3,{111},-0.21312918,0.00668525
+6,S2,23,Cubic_Low m-3,{111},-0.11168515,-0.71486516
+6,S2,23,Cubic_Low m-3,{111},-0.11168515,-0.71486516
+6,S2,23,Cubic_Low m-3,{111},0.37654403,0.28786998
+6,S2,23,Cubic_Low m-3,{111},0.37654403,0.28786998
+6,S2,23,Cubic_Low m-3,{111},0.84817392,-0.46580681
+6,S2,23,Cubic_Low m-3,{111},0.84817392,-0.46580681
+6,S2,622,Hexagonal_High 6/mmm,{0001},0.22294991,-0.22294991
+6,S2,622,Hexagonal_High 6/mmm,{0001},0.22294991,-0.22294991
+6,S2,622,Hexagonal_High 6/mmm,{10-10},-0.59873985,0.04687292
+6,S2,622,Hexagonal_High 6/mmm,{10-10},-0.59873985,0.04687292
+6,S2,622,Hexagonal_High 6/mmm,{10-10},-0.14878083,0.54202863
+6,S2,622,Hexagonal_High 6/mmm,{10-10},-0.14878083,0.54202863
+6,S2,622,Hexagonal_High 6/mmm,{10-10},0.62279896,0.71895801
+6,S2,622,Hexagonal_High 6/mmm,{10-10},0.62279896,0.71895801
+6,S2,622,Hexagonal_High 6/mmm,{11-20},-0.71285088,-0.31878850
+6,S2,622,Hexagonal_High 6/mmm,{11-20},-0.71285088,-0.31878850
+6,S2,622,Hexagonal_High 6/mmm,{11-20},-0.40642406,0.32798615
+6,S2,622,Hexagonal_High 6/mmm,{11-20},-0.40642406,0.32798615
+6,S2,622,Hexagonal_High 6/mmm,{11-20},0.18585277,0.68582873
+6,S2,622,Hexagonal_High 6/mmm,{11-20},0.18585277,0.68582873
+6,S2,6,Hexagonal_Low 6/m,{0001},0.22294991,-0.22294991
+6,S2,6,Hexagonal_Low 6/m,{0001},0.22294991,-0.22294991
+6,S2,6,Hexagonal_Low 6/m,{10-10},-0.59873985,0.04687292
+6,S2,6,Hexagonal_Low 6/m,{10-10},-0.59873985,0.04687292
+6,S2,6,Hexagonal_Low 6/m,{10-10},-0.14878083,0.54202863
+6,S2,6,Hexagonal_Low 6/m,{10-10},-0.14878083,0.54202863
+6,S2,6,Hexagonal_Low 6/m,{10-10},0.62279896,0.71895801
+6,S2,6,Hexagonal_Low 6/m,{10-10},0.62279896,0.71895801
+6,S2,6,Hexagonal_Low 6/m,{11-20},-0.71285088,-0.31878850
+6,S2,6,Hexagonal_Low 6/m,{11-20},-0.71285088,-0.31878850
+6,S2,6,Hexagonal_Low 6/m,{11-20},-0.40642406,0.32798615
+6,S2,6,Hexagonal_Low 6/m,{11-20},-0.40642406,0.32798615
+6,S2,6,Hexagonal_Low 6/m,{11-20},0.18585277,0.68582873
+6,S2,6,Hexagonal_Low 6/m,{11-20},0.18585277,0.68582873
+6,S2,32,Trigonal_High -3m,{0001},0.22294991,-0.22294991
+6,S2,32,Trigonal_High -3m,{0001},0.22294991,-0.22294991
+6,S2,32,Trigonal_High -3m,{0-110},-0.59873985,0.04687292
+6,S2,32,Trigonal_High -3m,{0-110},-0.59873985,0.04687292
+6,S2,32,Trigonal_High -3m,{0-110},-0.14878083,0.54202863
+6,S2,32,Trigonal_High -3m,{0-110},-0.14878083,0.54202863
+6,S2,32,Trigonal_High -3m,{0-110},0.62279896,0.71895801
+6,S2,32,Trigonal_High -3m,{0-110},0.62279896,0.71895801
+6,S2,32,Trigonal_High -3m,{1-100},-0.59873985,0.04687292
+6,S2,32,Trigonal_High -3m,{1-100},-0.59873985,0.04687292
+6,S2,32,Trigonal_High -3m,{1-100},-0.14878083,0.54202863
+6,S2,32,Trigonal_High -3m,{1-100},-0.14878083,0.54202863
+6,S2,32,Trigonal_High -3m,{1-100},0.62279896,0.71895801
+6,S2,32,Trigonal_High -3m,{1-100},0.62279896,0.71895801
+6,S2,3,Trigonal_Low -3,{0001},0.22294991,-0.22294991
+6,S2,3,Trigonal_Low -3,{0001},0.22294991,-0.22294991
+6,S2,3,Trigonal_Low -3,{-1-120},-0.71285088,-0.31878850
+6,S2,3,Trigonal_Low -3,{-1-120},-0.71285088,-0.31878850
+6,S2,3,Trigonal_Low -3,{-1-120},-0.40642406,0.32798615
+6,S2,3,Trigonal_Low -3,{-1-120},-0.40642406,0.32798615
+6,S2,3,Trigonal_Low -3,{-1-120},0.18585277,0.68582873
+6,S2,3,Trigonal_Low -3,{-1-120},0.18585277,0.68582873
+6,S2,3,Trigonal_Low -3,{2-1-10},-0.71285088,-0.31878850
+6,S2,3,Trigonal_Low -3,{2-1-10},-0.71285088,-0.31878850
+6,S2,3,Trigonal_Low -3,{2-1-10},-0.40642406,0.32798615
+6,S2,3,Trigonal_Low -3,{2-1-10},-0.40642406,0.32798615
+6,S2,3,Trigonal_Low -3,{2-1-10},0.18585277,0.68582873
+6,S2,3,Trigonal_Low -3,{2-1-10},0.18585277,0.68582873
+6,S2,422,Tetragonal_High 4/mmm,{001},0.22294991,-0.22294991
+6,S2,422,Tetragonal_High 4/mmm,{001},0.22294991,-0.22294991
+6,S2,422,Tetragonal_High 4/mmm,{100},-0.71285088,-0.31878850
+6,S2,422,Tetragonal_High 4/mmm,{100},-0.71285088,-0.31878850
+6,S2,422,Tetragonal_High 4/mmm,{100},-0.14878083,0.54202863
+6,S2,422,Tetragonal_High 4/mmm,{100},-0.14878083,0.54202863
+6,S2,422,Tetragonal_High 4/mmm,{110},-0.51081767,0.19652653
+6,S2,422,Tetragonal_High 4/mmm,{110},-0.51081767,0.19652653
+6,S2,422,Tetragonal_High 4/mmm,{110},0.38987231,0.72110759
+6,S2,422,Tetragonal_High 4/mmm,{110},0.38987231,0.72110759
+6,S2,4,Tetragonal_Low 4/m,{001},0.22294991,-0.22294991
+6,S2,4,Tetragonal_Low 4/m,{001},0.22294991,-0.22294991
+6,S2,4,Tetragonal_Low 4/m,{100},-0.71285088,-0.31878850
+6,S2,4,Tetragonal_Low 4/m,{100},-0.71285088,-0.31878850
+6,S2,4,Tetragonal_Low 4/m,{100},-0.14878083,0.54202863
+6,S2,4,Tetragonal_Low 4/m,{100},-0.14878083,0.54202863
+6,S2,4,Tetragonal_Low 4/m,{110},-0.51081767,0.19652653
+6,S2,4,Tetragonal_Low 4/m,{110},-0.51081767,0.19652653
+6,S2,4,Tetragonal_Low 4/m,{110},0.38987231,0.72110759
+6,S2,4,Tetragonal_Low 4/m,{110},0.38987231,0.72110759
+6,S2,222,OrthoRhombic mmm,{001},0.22294991,-0.22294991
+6,S2,222,OrthoRhombic mmm,{001},0.22294991,-0.22294991
+6,S2,222,OrthoRhombic mmm,{100},-0.14878083,0.54202863
+6,S2,222,OrthoRhombic mmm,{100},-0.14878083,0.54202863
+6,S2,222,OrthoRhombic mmm,{010},-0.71285088,-0.31878850
+6,S2,222,OrthoRhombic mmm,{010},-0.71285088,-0.31878850
+6,S2,2,Monoclinic 2/m,{001},0.22294991,-0.22294991
+6,S2,2,Monoclinic 2/m,{001},0.22294991,-0.22294991
+6,S2,2,Monoclinic 2/m,{100},-0.14878083,0.54202863
+6,S2,2,Monoclinic 2/m,{100},-0.14878083,0.54202863
+6,S2,2,Monoclinic 2/m,{010},-0.71285088,-0.31878850
+6,S2,2,Monoclinic 2/m,{010},-0.71285088,-0.31878850
+6,S2,1,Triclinic -1,{001},0.22294991,-0.22294991
+6,S2,1,Triclinic -1,{001},0.22294991,-0.22294991
+6,S2,1,Triclinic -1,{100},-0.14878083,0.54202863
+6,S2,1,Triclinic -1,{100},-0.14878083,0.54202863
+6,S2,1,Triclinic -1,{010},-0.71285088,-0.31878850
+6,S2,1,Triclinic -1,{010},-0.71285088,-0.31878850
+7,R,432,Cubic_High m-3m,{001},-0.23170848,-0.11285166
+7,R,432,Cubic_High m-3m,{001},-0.23170848,-0.11285166
+7,R,432,Cubic_High m-3m,{001},0.30551848,0.57174576
+7,R,432,Cubic_High m-3m,{001},0.30551848,0.57174576
+7,R,432,Cubic_High m-3m,{001},0.62855747,-0.44012068
+7,R,432,Cubic_High m-3m,{001},0.62855747,-0.44012068
+7,R,432,Cubic_High m-3m,{011},-0.60359455,0.16859556
+7,R,432,Cubic_High m-3m,{011},-0.60359455,0.16859556
+7,R,432,Cubic_High m-3m,{011},-0.45964639,-0.54043574
+7,R,432,Cubic_High m-3m,{011},-0.45964639,-0.54043574
+7,R,432,Cubic_High m-3m,{011},-0.23087789,0.86925308
+7,R,432,Cubic_High m-3m,{011},-0.23087789,0.86925308
+7,R,432,Cubic_High m-3m,{011},-0.00159962,0.21998851
+7,R,432,Cubic_High m-3m,{011},-0.00159962,0.21998851
+7,R,432,Cubic_High m-3m,{011},0.13996224,-0.30044719
+7,R,432,Cubic_High m-3m,{011},0.13996224,-0.30044719
+7,R,432,Cubic_High m-3m,{011},0.58689557,0.12065358
+7,R,432,Cubic_High m-3m,{011},0.58689557,0.12065358
+7,R,432,Cubic_High m-3m,{111},-0.85342957,-0.23847956
+7,R,432,Cubic_High m-3m,{111},-0.85342957,-0.23847956
+7,R,432,Cubic_High m-3m,{111},-0.28857146,0.41624290
+7,R,432,Cubic_High m-3m,{111},-0.28857146,0.41624290
+7,R,432,Cubic_High m-3m,{111},-0.02992118,-0.63904393
+7,R,432,Cubic_High m-3m,{111},-0.02992118,-0.63904393
+7,R,432,Cubic_High m-3m,{111},0.24031798,0.01205228
+7,R,432,Cubic_High m-3m,{111},0.24031798,0.01205228
+7,R,23,Cubic_Low m-3,{001},-0.23170848,-0.11285166
+7,R,23,Cubic_Low m-3,{001},-0.23170848,-0.11285166
+7,R,23,Cubic_Low m-3,{001},0.30551848,0.57174576
+7,R,23,Cubic_Low m-3,{001},0.30551848,0.57174576
+7,R,23,Cubic_Low m-3,{001},0.62855747,-0.44012068
+7,R,23,Cubic_Low m-3,{001},0.62855747,-0.44012068
+7,R,23,Cubic_Low m-3,{011},-0.60359455,0.16859556
+7,R,23,Cubic_Low m-3,{011},-0.60359455,0.16859556
+7,R,23,Cubic_Low m-3,{011},-0.45964639,-0.54043574
+7,R,23,Cubic_Low m-3,{011},-0.45964639,-0.54043574
+7,R,23,Cubic_Low m-3,{011},-0.23087789,0.86925308
+7,R,23,Cubic_Low m-3,{011},-0.23087789,0.86925308
+7,R,23,Cubic_Low m-3,{011},-0.00159962,0.21998851
+7,R,23,Cubic_Low m-3,{011},-0.00159962,0.21998851
+7,R,23,Cubic_Low m-3,{011},0.13996224,-0.30044719
+7,R,23,Cubic_Low m-3,{011},0.13996224,-0.30044719
+7,R,23,Cubic_Low m-3,{011},0.58689557,0.12065358
+7,R,23,Cubic_Low m-3,{011},0.58689557,0.12065358
+7,R,23,Cubic_Low m-3,{111},-0.85342957,-0.23847956
+7,R,23,Cubic_Low m-3,{111},-0.85342957,-0.23847956
+7,R,23,Cubic_Low m-3,{111},-0.28857146,0.41624290
+7,R,23,Cubic_Low m-3,{111},-0.28857146,0.41624290
+7,R,23,Cubic_Low m-3,{111},-0.02992118,-0.63904393
+7,R,23,Cubic_Low m-3,{111},-0.02992118,-0.63904393
+7,R,23,Cubic_Low m-3,{111},0.24031798,0.01205228
+7,R,23,Cubic_Low m-3,{111},0.24031798,0.01205228
+7,R,622,Hexagonal_High 6/mmm,{0001},0.62855747,-0.44012068
+7,R,622,Hexagonal_High 6/mmm,{0001},0.62855747,-0.44012068
+7,R,622,Hexagonal_High 6/mmm,{10-10},-0.38059150,-0.37699423
+7,R,622,Hexagonal_High 6/mmm,{10-10},-0.38059150,-0.37699423
+7,R,622,Hexagonal_High 6/mmm,{10-10},-0.08215818,0.11174997
+7,R,622,Hexagonal_High 6/mmm,{10-10},-0.08215818,0.11174997
+7,R,622,Hexagonal_High 6/mmm,{10-10},0.30551848,0.57174576
+7,R,622,Hexagonal_High 6/mmm,{10-10},0.30551848,0.57174576
+7,R,622,Hexagonal_High 6/mmm,{11-20},-0.54406891,-0.74073678
+7,R,622,Hexagonal_High 6/mmm,{11-20},-0.54406891,-0.74073678
+7,R,622,Hexagonal_High 6/mmm,{11-20},-0.23170848,-0.11285166
+7,R,622,Hexagonal_High 6/mmm,{11-20},-0.23170848,-0.11285166
+7,R,622,Hexagonal_High 6/mmm,{11-20},0.08671073,0.33019107
+7,R,622,Hexagonal_High 6/mmm,{11-20},0.08671073,0.33019107
+7,R,6,Hexagonal_Low 6/m,{0001},0.62855747,-0.44012068
+7,R,6,Hexagonal_Low 6/m,{0001},0.62855747,-0.44012068
+7,R,6,Hexagonal_Low 6/m,{10-10},-0.38059150,-0.37699423
+7,R,6,Hexagonal_Low 6/m,{10-10},-0.38059150,-0.37699423
+7,R,6,Hexagonal_Low 6/m,{10-10},-0.08215818,0.11174997
+7,R,6,Hexagonal_Low 6/m,{10-10},-0.08215818,0.11174997
+7,R,6,Hexagonal_Low 6/m,{10-10},0.30551848,0.57174576
+7,R,6,Hexagonal_Low 6/m,{10-10},0.30551848,0.57174576
+7,R,6,Hexagonal_Low 6/m,{11-20},-0.54406891,-0.74073678
+7,R,6,Hexagonal_Low 6/m,{11-20},-0.54406891,-0.74073678
+7,R,6,Hexagonal_Low 6/m,{11-20},-0.23170848,-0.11285166
+7,R,6,Hexagonal_Low 6/m,{11-20},-0.23170848,-0.11285166
+7,R,6,Hexagonal_Low 6/m,{11-20},0.08671073,0.33019107
+7,R,6,Hexagonal_Low 6/m,{11-20},0.08671073,0.33019107
+7,R,32,Trigonal_High -3m,{0001},0.62855747,-0.44012068
+7,R,32,Trigonal_High -3m,{0001},0.62855747,-0.44012068
+7,R,32,Trigonal_High -3m,{0-110},-0.38059150,-0.37699423
+7,R,32,Trigonal_High -3m,{0-110},-0.38059150,-0.37699423
+7,R,32,Trigonal_High -3m,{0-110},-0.08215818,0.11174997
+7,R,32,Trigonal_High -3m,{0-110},-0.08215818,0.11174997
+7,R,32,Trigonal_High -3m,{0-110},0.30551848,0.57174576
+7,R,32,Trigonal_High -3m,{0-110},0.30551848,0.57174576
+7,R,32,Trigonal_High -3m,{1-100},-0.38059150,-0.37699423
+7,R,32,Trigonal_High -3m,{1-100},-0.38059150,-0.37699423
+7,R,32,Trigonal_High -3m,{1-100},-0.08215818,0.11174997
+7,R,32,Trigonal_High -3m,{1-100},-0.08215818,0.11174997
+7,R,32,Trigonal_High -3m,{1-100},0.30551848,0.57174576
+7,R,32,Trigonal_High -3m,{1-100},0.30551848,0.57174576
+7,R,3,Trigonal_Low -3,{0001},0.62855747,-0.44012068
+7,R,3,Trigonal_Low -3,{0001},0.62855747,-0.44012068
+7,R,3,Trigonal_Low -3,{-1-120},-0.54406891,-0.74073678
+7,R,3,Trigonal_Low -3,{-1-120},-0.54406891,-0.74073678
+7,R,3,Trigonal_Low -3,{-1-120},-0.23170848,-0.11285166
+7,R,3,Trigonal_Low -3,{-1-120},-0.23170848,-0.11285166
+7,R,3,Trigonal_Low -3,{-1-120},0.08671073,0.33019107
+7,R,3,Trigonal_Low -3,{-1-120},0.08671073,0.33019107
+7,R,3,Trigonal_Low -3,{2-1-10},-0.54406891,-0.74073678
+7,R,3,Trigonal_Low -3,{2-1-10},-0.54406891,-0.74073678
+7,R,3,Trigonal_Low -3,{2-1-10},-0.23170848,-0.11285166
+7,R,3,Trigonal_Low -3,{2-1-10},-0.23170848,-0.11285166
+7,R,3,Trigonal_Low -3,{2-1-10},0.08671073,0.33019107
+7,R,3,Trigonal_Low -3,{2-1-10},0.08671073,0.33019107
+7,R,422,Tetragonal_High 4/mmm,{001},0.62855747,-0.44012068
+7,R,422,Tetragonal_High 4/mmm,{001},0.62855747,-0.44012068
+7,R,422,Tetragonal_High 4/mmm,{100},-0.23170848,-0.11285166
+7,R,422,Tetragonal_High 4/mmm,{100},-0.23170848,-0.11285166
+7,R,422,Tetragonal_High 4/mmm,{100},0.30551848,0.57174576
+7,R,422,Tetragonal_High 4/mmm,{100},0.30551848,0.57174576
+7,R,422,Tetragonal_High 4/mmm,{110},-0.45964639,-0.54043574
+7,R,422,Tetragonal_High 4/mmm,{110},-0.45964639,-0.54043574
+7,R,422,Tetragonal_High 4/mmm,{110},-0.00159962,0.21998851
+7,R,422,Tetragonal_High 4/mmm,{110},-0.00159962,0.21998851
+7,R,4,Tetragonal_Low 4/m,{001},0.62855747,-0.44012068
+7,R,4,Tetragonal_Low 4/m,{001},0.62855747,-0.44012068
+7,R,4,Tetragonal_Low 4/m,{100},-0.23170848,-0.11285166
+7,R,4,Tetragonal_Low 4/m,{100},-0.23170848,-0.11285166
+7,R,4,Tetragonal_Low 4/m,{100},0.30551848,0.57174576
+7,R,4,Tetragonal_Low 4/m,{100},0.30551848,0.57174576
+7,R,4,Tetragonal_Low 4/m,{110},-0.45964639,-0.54043574
+7,R,4,Tetragonal_Low 4/m,{110},-0.45964639,-0.54043574
+7,R,4,Tetragonal_Low 4/m,{110},-0.00159962,0.21998851
+7,R,4,Tetragonal_Low 4/m,{110},-0.00159962,0.21998851
+7,R,222,OrthoRhombic mmm,{001},0.62855747,-0.44012068
+7,R,222,OrthoRhombic mmm,{001},0.62855747,-0.44012068
+7,R,222,OrthoRhombic mmm,{100},0.30551848,0.57174576
+7,R,222,OrthoRhombic mmm,{100},0.30551848,0.57174576
+7,R,222,OrthoRhombic mmm,{010},-0.23170848,-0.11285166
+7,R,222,OrthoRhombic mmm,{010},-0.23170848,-0.11285166
+7,R,2,Monoclinic 2/m,{001},0.62855747,-0.44012068
+7,R,2,Monoclinic 2/m,{001},0.62855747,-0.44012068
+7,R,2,Monoclinic 2/m,{100},0.30551848,0.57174576
+7,R,2,Monoclinic 2/m,{100},0.30551848,0.57174576
+7,R,2,Monoclinic 2/m,{010},-0.23170848,-0.11285166
+7,R,2,Monoclinic 2/m,{010},-0.23170848,-0.11285166
+7,R,1,Triclinic -1,{001},0.62855747,-0.44012068
+7,R,1,Triclinic -1,{001},0.62855747,-0.44012068
+7,R,1,Triclinic -1,{100},0.30551848,0.57174576
+7,R,1,Triclinic -1,{100},0.30551848,0.57174576
+7,R,1,Triclinic -1,{010},-0.23170848,-0.11285166
+7,R,1,Triclinic -1,{010},-0.23170848,-0.11285166
+8,RC_rd1,432,Cubic_High m-3m,{001},-0.00000000,-0.17632698
+8,RC_rd1,432,Cubic_High m-3m,{001},-0.00000000,-0.17632698
+8,RC_rd1,432,Cubic_High m-3m,{001},0.00000000,0.70020754
+8,RC_rd1,432,Cubic_High m-3m,{001},0.00000000,0.70020754
+8,RC_rd1,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+8,RC_rd1,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.56940030,0.53506126
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.56940030,0.53506126
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.42482577,-0.14529897
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.42482577,-0.14529897
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.00000000,-0.63707026
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.00000000,-0.63707026
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.00000000,0.22169466
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.00000000,0.22169466
+8,RC_rd1,432,Cubic_High m-3m,{011},0.42482577,-0.14529897
+8,RC_rd1,432,Cubic_High m-3m,{011},0.42482577,-0.14529897
+8,RC_rd1,432,Cubic_High m-3m,{011},0.56940030,0.53506126
+8,RC_rd1,432,Cubic_High m-3m,{011},0.56940030,0.53506126
+8,RC_rd1,432,Cubic_High m-3m,{111},-0.42923553,-0.55015665
+8,RC_rd1,432,Cubic_High m-3m,{111},-0.42923553,-0.55015665
+8,RC_rd1,432,Cubic_High m-3m,{111},-0.33181103,0.19831432
+8,RC_rd1,432,Cubic_High m-3m,{111},-0.33181103,0.19831432
+8,RC_rd1,432,Cubic_High m-3m,{111},0.33181103,0.19831432
+8,RC_rd1,432,Cubic_High m-3m,{111},0.33181103,0.19831432
+8,RC_rd1,432,Cubic_High m-3m,{111},0.42923553,-0.55015665
+8,RC_rd1,432,Cubic_High m-3m,{111},0.42923553,-0.55015665
+8,RC_rd1,23,Cubic_Low m-3,{001},-0.00000000,-0.17632698
+8,RC_rd1,23,Cubic_Low m-3,{001},-0.00000000,-0.17632698
+8,RC_rd1,23,Cubic_Low m-3,{001},0.00000000,0.70020754
+8,RC_rd1,23,Cubic_Low m-3,{001},0.00000000,0.70020754
+8,RC_rd1,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+8,RC_rd1,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.56940030,0.53506126
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.56940030,0.53506126
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.42482577,-0.14529897
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.42482577,-0.14529897
+8,RC_rd1,23,Cubic_Low m-3,{011},0.00000000,-0.63707026
+8,RC_rd1,23,Cubic_Low m-3,{011},0.00000000,-0.63707026
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.00000000,0.22169466
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.00000000,0.22169466
+8,RC_rd1,23,Cubic_Low m-3,{011},0.42482577,-0.14529897
+8,RC_rd1,23,Cubic_Low m-3,{011},0.42482577,-0.14529897
+8,RC_rd1,23,Cubic_Low m-3,{011},0.56940030,0.53506126
+8,RC_rd1,23,Cubic_Low m-3,{011},0.56940030,0.53506126
+8,RC_rd1,23,Cubic_Low m-3,{111},-0.42923553,-0.55015665
+8,RC_rd1,23,Cubic_Low m-3,{111},-0.42923553,-0.55015665
+8,RC_rd1,23,Cubic_Low m-3,{111},-0.33181103,0.19831432
+8,RC_rd1,23,Cubic_Low m-3,{111},-0.33181103,0.19831432
+8,RC_rd1,23,Cubic_Low m-3,{111},0.33181103,0.19831432
+8,RC_rd1,23,Cubic_Low m-3,{111},0.33181103,0.19831432
+8,RC_rd1,23,Cubic_Low m-3,{111},0.42923553,-0.55015665
+8,RC_rd1,23,Cubic_Low m-3,{111},0.42923553,-0.55015665
+8,RC_rd1,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.17632698
+8,RC_rd1,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.17632698
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},-0.38574350,0.62783433
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},-0.38574350,0.62783433
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},0.38574350,0.62783433
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},0.38574350,0.62783433
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},1.00000000,0.00000000
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},1.00000000,0.00000000
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},-0.73955419,0.40123166
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},-0.73955419,0.40123166
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},-0.00000000,0.70020754
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},-0.00000000,0.70020754
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},0.73955419,0.40123166
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},0.73955419,0.40123166
+8,RC_rd1,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.17632698
+8,RC_rd1,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.17632698
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},-0.38574350,0.62783433
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},-0.38574350,0.62783433
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},0.38574350,0.62783433
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},0.38574350,0.62783433
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},1.00000000,0.00000000
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},1.00000000,0.00000000
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},-0.73955419,0.40123166
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},-0.73955419,0.40123166
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},-0.00000000,0.70020754
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},-0.00000000,0.70020754
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},0.73955419,0.40123166
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},0.73955419,0.40123166
+8,RC_rd1,32,Trigonal_High -3m,{0001},-0.00000000,-0.17632698
+8,RC_rd1,32,Trigonal_High -3m,{0001},-0.00000000,-0.17632698
+8,RC_rd1,32,Trigonal_High -3m,{0-110},-0.38574350,0.62783433
+8,RC_rd1,32,Trigonal_High -3m,{0-110},-0.38574350,0.62783433
+8,RC_rd1,32,Trigonal_High -3m,{0-110},0.38574350,0.62783433
+8,RC_rd1,32,Trigonal_High -3m,{0-110},0.38574350,0.62783433
+8,RC_rd1,32,Trigonal_High -3m,{0-110},1.00000000,0.00000000
+8,RC_rd1,32,Trigonal_High -3m,{0-110},1.00000000,0.00000000
+8,RC_rd1,32,Trigonal_High -3m,{1-100},-0.38574350,0.62783433
+8,RC_rd1,32,Trigonal_High -3m,{1-100},-0.38574350,0.62783433
+8,RC_rd1,32,Trigonal_High -3m,{1-100},0.38574350,0.62783433
+8,RC_rd1,32,Trigonal_High -3m,{1-100},0.38574350,0.62783433
+8,RC_rd1,32,Trigonal_High -3m,{1-100},1.00000000,0.00000000
+8,RC_rd1,32,Trigonal_High -3m,{1-100},1.00000000,0.00000000
+8,RC_rd1,3,Trigonal_Low -3,{0001},-0.00000000,-0.17632698
+8,RC_rd1,3,Trigonal_Low -3,{0001},-0.00000000,-0.17632698
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},-0.73955419,0.40123166
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},-0.73955419,0.40123166
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},0.00000000,0.70020754
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},0.00000000,0.70020754
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},0.73955419,0.40123166
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},0.73955419,0.40123166
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},-0.73955419,0.40123166
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},-0.73955419,0.40123166
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},0.00000000,0.70020754
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},0.00000000,0.70020754
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},0.73955419,0.40123166
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},0.73955419,0.40123166
+8,RC_rd1,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.17632698
+8,RC_rd1,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.17632698
+8,RC_rd1,422,Tetragonal_High 4/mmm,{100},0.00000000,0.70020754
+8,RC_rd1,422,Tetragonal_High 4/mmm,{100},0.00000000,0.70020754
+8,RC_rd1,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+8,RC_rd1,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+8,RC_rd1,422,Tetragonal_High 4/mmm,{110},-0.56940030,0.53506126
+8,RC_rd1,422,Tetragonal_High 4/mmm,{110},-0.56940030,0.53506126
+8,RC_rd1,422,Tetragonal_High 4/mmm,{110},0.56940030,0.53506126
+8,RC_rd1,422,Tetragonal_High 4/mmm,{110},0.56940030,0.53506126
+8,RC_rd1,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.17632698
+8,RC_rd1,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.17632698
+8,RC_rd1,4,Tetragonal_Low 4/m,{100},0.00000000,0.70020754
+8,RC_rd1,4,Tetragonal_Low 4/m,{100},0.00000000,0.70020754
+8,RC_rd1,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+8,RC_rd1,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+8,RC_rd1,4,Tetragonal_Low 4/m,{110},-0.56940030,0.53506126
+8,RC_rd1,4,Tetragonal_Low 4/m,{110},-0.56940030,0.53506126
+8,RC_rd1,4,Tetragonal_Low 4/m,{110},0.56940030,0.53506126
+8,RC_rd1,4,Tetragonal_Low 4/m,{110},0.56940030,0.53506126
+8,RC_rd1,222,OrthoRhombic mmm,{001},-0.00000000,-0.17632698
+8,RC_rd1,222,OrthoRhombic mmm,{001},-0.00000000,-0.17632698
+8,RC_rd1,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+8,RC_rd1,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+8,RC_rd1,222,OrthoRhombic mmm,{010},-0.00000000,0.70020754
+8,RC_rd1,222,OrthoRhombic mmm,{010},-0.00000000,0.70020754
+8,RC_rd1,2,Monoclinic 2/m,{001},-0.00000000,-0.17632698
+8,RC_rd1,2,Monoclinic 2/m,{001},-0.00000000,-0.17632698
+8,RC_rd1,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+8,RC_rd1,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+8,RC_rd1,2,Monoclinic 2/m,{010},-0.00000000,0.70020754
+8,RC_rd1,2,Monoclinic 2/m,{010},-0.00000000,0.70020754
+8,RC_rd1,1,Triclinic -1,{001},-0.00000000,-0.17632698
+8,RC_rd1,1,Triclinic -1,{001},-0.00000000,-0.17632698
+8,RC_rd1,1,Triclinic -1,{100},1.00000000,0.00000000
+8,RC_rd1,1,Triclinic -1,{100},1.00000000,0.00000000
+8,RC_rd1,1,Triclinic -1,{010},-0.00000000,0.70020754
+8,RC_rd1,1,Triclinic -1,{010},-0.00000000,0.70020754
+9,RC_rd2,432,Cubic_High m-3m,{001},0.00000000,-0.31529879
+9,RC_rd2,432,Cubic_High m-3m,{001},0.00000000,-0.31529879
+9,RC_rd2,432,Cubic_High m-3m,{001},-0.00000000,0.52056705
+9,RC_rd2,432,Cubic_High m-3m,{001},-0.00000000,0.52056705
+9,RC_rd2,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+9,RC_rd2,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.50307125,0.41209184
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.50307125,0.41209184
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.44775472,-0.25682156
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.44775472,-0.25682156
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.00000000,-0.83909963
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.00000000,-0.83909963
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.00000000,0.08748866
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.00000000,0.08748866
+9,RC_rd2,432,Cubic_High m-3m,{011},0.44775472,-0.25682156
+9,RC_rd2,432,Cubic_High m-3m,{011},0.44775472,-0.25682156
+9,RC_rd2,432,Cubic_High m-3m,{011},0.50307125,0.41209184
+9,RC_rd2,432,Cubic_High m-3m,{011},0.50307125,0.41209184
+9,RC_rd2,432,Cubic_High m-3m,{111},-0.50565668,-0.70424245
+9,RC_rd2,432,Cubic_High m-3m,{111},-0.50565668,-0.70424245
+9,RC_rd2,432,Cubic_High m-3m,{111},-0.32002260,0.07858975
+9,RC_rd2,432,Cubic_High m-3m,{111},-0.32002260,0.07858975
+9,RC_rd2,432,Cubic_High m-3m,{111},0.32002260,0.07858975
+9,RC_rd2,432,Cubic_High m-3m,{111},0.32002260,0.07858975
+9,RC_rd2,432,Cubic_High m-3m,{111},0.50565668,-0.70424245
+9,RC_rd2,432,Cubic_High m-3m,{111},0.50565668,-0.70424245
+9,RC_rd2,23,Cubic_Low m-3,{001},0.00000000,-0.31529879
+9,RC_rd2,23,Cubic_Low m-3,{001},0.00000000,-0.31529879
+9,RC_rd2,23,Cubic_Low m-3,{001},-0.00000000,0.52056705
+9,RC_rd2,23,Cubic_Low m-3,{001},-0.00000000,0.52056705
+9,RC_rd2,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+9,RC_rd2,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.50307125,0.41209184
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.50307125,0.41209184
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.44775472,-0.25682156
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.44775472,-0.25682156
+9,RC_rd2,23,Cubic_Low m-3,{011},0.00000000,-0.83909963
+9,RC_rd2,23,Cubic_Low m-3,{011},0.00000000,-0.83909963
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.00000000,0.08748866
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.00000000,0.08748866
+9,RC_rd2,23,Cubic_Low m-3,{011},0.44775472,-0.25682156
+9,RC_rd2,23,Cubic_Low m-3,{011},0.44775472,-0.25682156
+9,RC_rd2,23,Cubic_Low m-3,{011},0.50307125,0.41209184
+9,RC_rd2,23,Cubic_Low m-3,{011},0.50307125,0.41209184
+9,RC_rd2,23,Cubic_Low m-3,{111},-0.50565668,-0.70424245
+9,RC_rd2,23,Cubic_Low m-3,{111},-0.50565668,-0.70424245
+9,RC_rd2,23,Cubic_Low m-3,{111},-0.32002260,0.07858975
+9,RC_rd2,23,Cubic_Low m-3,{111},-0.32002260,0.07858975
+9,RC_rd2,23,Cubic_Low m-3,{111},0.32002260,0.07858975
+9,RC_rd2,23,Cubic_Low m-3,{111},0.32002260,0.07858975
+9,RC_rd2,23,Cubic_Low m-3,{111},0.50565668,-0.70424245
+9,RC_rd2,23,Cubic_Low m-3,{111},0.50565668,-0.70424245
+9,RC_rd2,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.31529879
+9,RC_rd2,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.31529879
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},-0.33406119,0.47397035
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},-0.33406119,0.47397035
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},0.33406119,0.47397035
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},0.33406119,0.47397035
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},1.00000000,0.00000000
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},1.00000000,0.00000000
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},-0.67301316,0.31829326
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},-0.67301316,0.31829326
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},-0.00000000,0.52056705
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},-0.00000000,0.52056705
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},0.67301316,0.31829326
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},0.67301316,0.31829326
+9,RC_rd2,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.31529879
+9,RC_rd2,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.31529879
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},-0.33406119,0.47397035
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},-0.33406119,0.47397035
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},0.33406119,0.47397035
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},0.33406119,0.47397035
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},1.00000000,0.00000000
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},1.00000000,0.00000000
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},-0.67301316,0.31829326
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},-0.67301316,0.31829326
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},-0.00000000,0.52056705
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},-0.00000000,0.52056705
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},0.67301316,0.31829326
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},0.67301316,0.31829326
+9,RC_rd2,32,Trigonal_High -3m,{0001},-0.00000000,-0.31529879
+9,RC_rd2,32,Trigonal_High -3m,{0001},-0.00000000,-0.31529879
+9,RC_rd2,32,Trigonal_High -3m,{0-110},-0.33406119,0.47397035
+9,RC_rd2,32,Trigonal_High -3m,{0-110},-0.33406119,0.47397035
+9,RC_rd2,32,Trigonal_High -3m,{0-110},0.33406119,0.47397035
+9,RC_rd2,32,Trigonal_High -3m,{0-110},0.33406119,0.47397035
+9,RC_rd2,32,Trigonal_High -3m,{0-110},1.00000000,0.00000000
+9,RC_rd2,32,Trigonal_High -3m,{0-110},1.00000000,0.00000000
+9,RC_rd2,32,Trigonal_High -3m,{1-100},-0.33406119,0.47397035
+9,RC_rd2,32,Trigonal_High -3m,{1-100},-0.33406119,0.47397035
+9,RC_rd2,32,Trigonal_High -3m,{1-100},0.33406119,0.47397035
+9,RC_rd2,32,Trigonal_High -3m,{1-100},0.33406119,0.47397035
+9,RC_rd2,32,Trigonal_High -3m,{1-100},1.00000000,0.00000000
+9,RC_rd2,32,Trigonal_High -3m,{1-100},1.00000000,0.00000000
+9,RC_rd2,3,Trigonal_Low -3,{0001},-0.00000000,-0.31529879
+9,RC_rd2,3,Trigonal_Low -3,{0001},-0.00000000,-0.31529879
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},-0.67301316,0.31829326
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},-0.67301316,0.31829326
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},-0.00000000,0.52056705
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},-0.00000000,0.52056705
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},0.67301316,0.31829326
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},0.67301316,0.31829326
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},-0.67301316,0.31829326
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},-0.67301316,0.31829326
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},-0.00000000,0.52056705
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},-0.00000000,0.52056705
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},0.67301316,0.31829326
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},0.67301316,0.31829326
+9,RC_rd2,422,Tetragonal_High 4/mmm,{001},0.00000000,-0.31529879
+9,RC_rd2,422,Tetragonal_High 4/mmm,{001},0.00000000,-0.31529879
+9,RC_rd2,422,Tetragonal_High 4/mmm,{100},-0.00000000,0.52056705
+9,RC_rd2,422,Tetragonal_High 4/mmm,{100},-0.00000000,0.52056705
+9,RC_rd2,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+9,RC_rd2,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+9,RC_rd2,422,Tetragonal_High 4/mmm,{110},-0.50307125,0.41209184
+9,RC_rd2,422,Tetragonal_High 4/mmm,{110},-0.50307125,0.41209184
+9,RC_rd2,422,Tetragonal_High 4/mmm,{110},0.50307125,0.41209184
+9,RC_rd2,422,Tetragonal_High 4/mmm,{110},0.50307125,0.41209184
+9,RC_rd2,4,Tetragonal_Low 4/m,{001},0.00000000,-0.31529879
+9,RC_rd2,4,Tetragonal_Low 4/m,{001},0.00000000,-0.31529879
+9,RC_rd2,4,Tetragonal_Low 4/m,{100},-0.00000000,0.52056705
+9,RC_rd2,4,Tetragonal_Low 4/m,{100},-0.00000000,0.52056705
+9,RC_rd2,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+9,RC_rd2,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+9,RC_rd2,4,Tetragonal_Low 4/m,{110},-0.50307125,0.41209184
+9,RC_rd2,4,Tetragonal_Low 4/m,{110},-0.50307125,0.41209184
+9,RC_rd2,4,Tetragonal_Low 4/m,{110},0.50307125,0.41209184
+9,RC_rd2,4,Tetragonal_Low 4/m,{110},0.50307125,0.41209184
+9,RC_rd2,222,OrthoRhombic mmm,{001},0.00000000,-0.31529879
+9,RC_rd2,222,OrthoRhombic mmm,{001},0.00000000,-0.31529879
+9,RC_rd2,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+9,RC_rd2,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+9,RC_rd2,222,OrthoRhombic mmm,{010},-0.00000000,0.52056705
+9,RC_rd2,222,OrthoRhombic mmm,{010},-0.00000000,0.52056705
+9,RC_rd2,2,Monoclinic 2/m,{001},0.00000000,-0.31529879
+9,RC_rd2,2,Monoclinic 2/m,{001},0.00000000,-0.31529879
+9,RC_rd2,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+9,RC_rd2,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+9,RC_rd2,2,Monoclinic 2/m,{010},-0.00000000,0.52056705
+9,RC_rd2,2,Monoclinic 2/m,{010},-0.00000000,0.52056705
+9,RC_rd2,1,Triclinic -1,{001},0.00000000,-0.31529879
+9,RC_rd2,1,Triclinic -1,{001},0.00000000,-0.31529879
+9,RC_rd2,1,Triclinic -1,{100},1.00000000,0.00000000
+9,RC_rd2,1,Triclinic -1,{100},1.00000000,0.00000000
+9,RC_rd2,1,Triclinic -1,{010},-0.00000000,0.52056705
+9,RC_rd2,1,Triclinic -1,{010},-0.00000000,0.52056705
+10,RC_nd1,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+10,RC_nd1,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+10,RC_nd1,432,Cubic_High m-3m,{001},0.34202014,-0.93969262
+10,RC_nd1,432,Cubic_High m-3m,{001},0.34202014,-0.93969262
+10,RC_nd1,432,Cubic_High m-3m,{001},0.93969262,0.34202014
+10,RC_nd1,432,Cubic_High m-3m,{001},0.93969262,0.34202014
+10,RC_nd1,432,Cubic_High m-3m,{011},-0.38923343,-0.14166938
+10,RC_nd1,432,Cubic_High m-3m,{011},-0.38923343,-0.14166938
+10,RC_nd1,432,Cubic_High m-3m,{011},-0.14166938,0.38923343
+10,RC_nd1,432,Cubic_High m-3m,{011},-0.14166938,0.38923343
+10,RC_nd1,432,Cubic_High m-3m,{011},0.14166938,-0.38923343
+10,RC_nd1,432,Cubic_High m-3m,{011},0.14166938,-0.38923343
+10,RC_nd1,432,Cubic_High m-3m,{011},0.38923343,0.14166938
+10,RC_nd1,432,Cubic_High m-3m,{011},0.38923343,0.14166938
+10,RC_nd1,432,Cubic_High m-3m,{011},0.42261826,0.90630779
+10,RC_nd1,432,Cubic_High m-3m,{011},0.42261826,0.90630779
+10,RC_nd1,432,Cubic_High m-3m,{011},0.90630779,-0.42261826
+10,RC_nd1,432,Cubic_High m-3m,{011},0.90630779,-0.42261826
+10,RC_nd1,432,Cubic_High m-3m,{111},-0.46913943,0.21876331
+10,RC_nd1,432,Cubic_High m-3m,{111},-0.46913943,0.21876331
+10,RC_nd1,432,Cubic_High m-3m,{111},-0.21876331,-0.46913943
+10,RC_nd1,432,Cubic_High m-3m,{111},-0.21876331,-0.46913943
+10,RC_nd1,432,Cubic_High m-3m,{111},0.21876331,0.46913943
+10,RC_nd1,432,Cubic_High m-3m,{111},0.21876331,0.46913943
+10,RC_nd1,432,Cubic_High m-3m,{111},0.46913943,-0.21876331
+10,RC_nd1,432,Cubic_High m-3m,{111},0.46913943,-0.21876331
+10,RC_nd1,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+10,RC_nd1,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+10,RC_nd1,23,Cubic_Low m-3,{001},0.34202014,-0.93969262
+10,RC_nd1,23,Cubic_Low m-3,{001},0.34202014,-0.93969262
+10,RC_nd1,23,Cubic_Low m-3,{001},0.93969262,0.34202014
+10,RC_nd1,23,Cubic_Low m-3,{001},0.93969262,0.34202014
+10,RC_nd1,23,Cubic_Low m-3,{011},-0.38923343,-0.14166938
+10,RC_nd1,23,Cubic_Low m-3,{011},-0.38923343,-0.14166938
+10,RC_nd1,23,Cubic_Low m-3,{011},-0.14166938,0.38923343
+10,RC_nd1,23,Cubic_Low m-3,{011},-0.14166938,0.38923343
+10,RC_nd1,23,Cubic_Low m-3,{011},0.14166938,-0.38923343
+10,RC_nd1,23,Cubic_Low m-3,{011},0.14166938,-0.38923343
+10,RC_nd1,23,Cubic_Low m-3,{011},0.38923343,0.14166938
+10,RC_nd1,23,Cubic_Low m-3,{011},0.38923343,0.14166938
+10,RC_nd1,23,Cubic_Low m-3,{011},0.42261826,0.90630779
+10,RC_nd1,23,Cubic_Low m-3,{011},0.42261826,0.90630779
+10,RC_nd1,23,Cubic_Low m-3,{011},0.90630779,-0.42261826
+10,RC_nd1,23,Cubic_Low m-3,{011},0.90630779,-0.42261826
+10,RC_nd1,23,Cubic_Low m-3,{111},-0.46913943,0.21876331
+10,RC_nd1,23,Cubic_Low m-3,{111},-0.46913943,0.21876331
+10,RC_nd1,23,Cubic_Low m-3,{111},-0.21876331,-0.46913943
+10,RC_nd1,23,Cubic_Low m-3,{111},-0.21876331,-0.46913943
+10,RC_nd1,23,Cubic_Low m-3,{111},0.21876331,0.46913943
+10,RC_nd1,23,Cubic_Low m-3,{111},0.21876331,0.46913943
+10,RC_nd1,23,Cubic_Low m-3,{111},0.46913943,-0.21876331
+10,RC_nd1,23,Cubic_Low m-3,{111},0.46913943,-0.21876331
+10,RC_nd1,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.00000000
+10,RC_nd1,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.00000000
+10,RC_nd1,622,Hexagonal_High 6/mmm,{10-10},-0.93969262,-0.34202014
+10,RC_nd1,622,Hexagonal_High 6/mmm,{10-10},-0.17364818,-0.98480775
+10,RC_nd1,622,Hexagonal_High 6/mmm,{10-10},0.17364818,0.98480775
+10,RC_nd1,622,Hexagonal_High 6/mmm,{10-10},0.76604444,-0.64278761
+10,RC_nd1,622,Hexagonal_High 6/mmm,{10-10},0.76604444,-0.64278761
+10,RC_nd1,622,Hexagonal_High 6/mmm,{10-10},0.93969262,0.34202014
+10,RC_nd1,622,Hexagonal_High 6/mmm,{11-20},-0.98480775,0.17364818
+10,RC_nd1,622,Hexagonal_High 6/mmm,{11-20},-0.64278761,-0.76604444
+10,RC_nd1,622,Hexagonal_High 6/mmm,{11-20},0.34202014,-0.93969262
+10,RC_nd1,622,Hexagonal_High 6/mmm,{11-20},0.34202014,-0.93969262
+10,RC_nd1,622,Hexagonal_High 6/mmm,{11-20},0.64278761,0.76604444
+10,RC_nd1,622,Hexagonal_High 6/mmm,{11-20},0.98480775,-0.17364818
+10,RC_nd1,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.00000000
+10,RC_nd1,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.00000000
+10,RC_nd1,6,Hexagonal_Low 6/m,{10-10},-0.93969262,-0.34202014
+10,RC_nd1,6,Hexagonal_Low 6/m,{10-10},-0.76604444,0.64278761
+10,RC_nd1,6,Hexagonal_Low 6/m,{10-10},-0.17364818,-0.98480775
+10,RC_nd1,6,Hexagonal_Low 6/m,{10-10},0.17364818,0.98480775
+10,RC_nd1,6,Hexagonal_Low 6/m,{10-10},0.76604444,-0.64278761
+10,RC_nd1,6,Hexagonal_Low 6/m,{10-10},0.93969262,0.34202014
+10,RC_nd1,6,Hexagonal_Low 6/m,{11-20},-0.98480775,0.17364818
+10,RC_nd1,6,Hexagonal_Low 6/m,{11-20},-0.64278761,-0.76604444
+10,RC_nd1,6,Hexagonal_Low 6/m,{11-20},-0.34202014,0.93969262
+10,RC_nd1,6,Hexagonal_Low 6/m,{11-20},0.34202014,-0.93969262
+10,RC_nd1,6,Hexagonal_Low 6/m,{11-20},0.64278761,0.76604444
+10,RC_nd1,6,Hexagonal_Low 6/m,{11-20},0.98480775,-0.17364818
+10,RC_nd1,32,Trigonal_High -3m,{0001},-0.00000000,-0.00000000
+10,RC_nd1,32,Trigonal_High -3m,{0001},-0.00000000,-0.00000000
+10,RC_nd1,32,Trigonal_High -3m,{0-110},-0.93969262,-0.34202014
+10,RC_nd1,32,Trigonal_High -3m,{0-110},-0.17364818,-0.98480775
+10,RC_nd1,32,Trigonal_High -3m,{0-110},0.17364818,0.98480775
+10,RC_nd1,32,Trigonal_High -3m,{0-110},0.76604444,-0.64278761
+10,RC_nd1,32,Trigonal_High -3m,{0-110},0.76604444,-0.64278761
+10,RC_nd1,32,Trigonal_High -3m,{0-110},0.93969262,0.34202014
+10,RC_nd1,32,Trigonal_High -3m,{1-100},-0.76604444,0.64278761
+10,RC_nd1,32,Trigonal_High -3m,{1-100},-0.17364818,-0.98480775
+10,RC_nd1,32,Trigonal_High -3m,{1-100},0.17364818,0.98480775
+10,RC_nd1,32,Trigonal_High -3m,{1-100},0.76604444,-0.64278761
+10,RC_nd1,32,Trigonal_High -3m,{1-100},0.93969262,0.34202014
+10,RC_nd1,32,Trigonal_High -3m,{1-100},0.93969262,0.34202014
+10,RC_nd1,3,Trigonal_Low -3,{0001},-0.00000000,-0.00000000
+10,RC_nd1,3,Trigonal_Low -3,{0001},-0.00000000,-0.00000000
+10,RC_nd1,3,Trigonal_Low -3,{-1-120},-0.98480775,0.17364818
+10,RC_nd1,3,Trigonal_Low -3,{-1-120},-0.64278761,-0.76604444
+10,RC_nd1,3,Trigonal_Low -3,{-1-120},-0.34202014,0.93969262
+10,RC_nd1,3,Trigonal_Low -3,{-1-120},0.34202014,-0.93969262
+10,RC_nd1,3,Trigonal_Low -3,{-1-120},0.64278761,0.76604444
+10,RC_nd1,3,Trigonal_Low -3,{-1-120},0.98480775,-0.17364818
+10,RC_nd1,3,Trigonal_Low -3,{2-1-10},-0.98480775,0.17364818
+10,RC_nd1,3,Trigonal_Low -3,{2-1-10},-0.64278761,-0.76604444
+10,RC_nd1,3,Trigonal_Low -3,{2-1-10},-0.34202014,0.93969262
+10,RC_nd1,3,Trigonal_Low -3,{2-1-10},0.34202014,-0.93969262
+10,RC_nd1,3,Trigonal_Low -3,{2-1-10},0.64278761,0.76604444
+10,RC_nd1,3,Trigonal_Low -3,{2-1-10},0.98480775,-0.17364818
+10,RC_nd1,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.00000000
+10,RC_nd1,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.00000000
+10,RC_nd1,422,Tetragonal_High 4/mmm,{100},-0.93969262,-0.34202014
+10,RC_nd1,422,Tetragonal_High 4/mmm,{100},-0.34202014,0.93969262
+10,RC_nd1,422,Tetragonal_High 4/mmm,{100},0.34202014,-0.93969262
+10,RC_nd1,422,Tetragonal_High 4/mmm,{100},0.93969262,0.34202014
+10,RC_nd1,422,Tetragonal_High 4/mmm,{110},-0.42261826,-0.90630779
+10,RC_nd1,422,Tetragonal_High 4/mmm,{110},0.42261826,0.90630779
+10,RC_nd1,422,Tetragonal_High 4/mmm,{110},0.90630779,-0.42261826
+10,RC_nd1,422,Tetragonal_High 4/mmm,{110},0.90630779,-0.42261826
+10,RC_nd1,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+10,RC_nd1,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+10,RC_nd1,4,Tetragonal_Low 4/m,{100},-0.93969262,-0.34202014
+10,RC_nd1,4,Tetragonal_Low 4/m,{100},-0.34202014,0.93969262
+10,RC_nd1,4,Tetragonal_Low 4/m,{100},0.34202014,-0.93969262
+10,RC_nd1,4,Tetragonal_Low 4/m,{100},0.93969262,0.34202014
+10,RC_nd1,4,Tetragonal_Low 4/m,{110},-0.90630779,0.42261826
+10,RC_nd1,4,Tetragonal_Low 4/m,{110},-0.42261826,-0.90630779
+10,RC_nd1,4,Tetragonal_Low 4/m,{110},0.42261826,0.90630779
+10,RC_nd1,4,Tetragonal_Low 4/m,{110},0.90630779,-0.42261826
+10,RC_nd1,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+10,RC_nd1,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+10,RC_nd1,222,OrthoRhombic mmm,{100},-0.93969262,-0.34202014
+10,RC_nd1,222,OrthoRhombic mmm,{100},0.93969262,0.34202014
+10,RC_nd1,222,OrthoRhombic mmm,{010},-0.34202014,0.93969262
+10,RC_nd1,222,OrthoRhombic mmm,{010},0.34202014,-0.93969262
+10,RC_nd1,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+10,RC_nd1,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+10,RC_nd1,2,Monoclinic 2/m,{100},-0.93969262,-0.34202014
+10,RC_nd1,2,Monoclinic 2/m,{100},0.93969262,0.34202014
+10,RC_nd1,2,Monoclinic 2/m,{010},-0.34202014,0.93969262
+10,RC_nd1,2,Monoclinic 2/m,{010},0.34202014,-0.93969262
+10,RC_nd1,1,Triclinic -1,{001},-0.00000000,-0.00000000
+10,RC_nd1,1,Triclinic -1,{001},-0.00000000,-0.00000000
+10,RC_nd1,1,Triclinic -1,{100},-0.93969262,-0.34202014
+10,RC_nd1,1,Triclinic -1,{100},0.93969262,0.34202014
+10,RC_nd1,1,Triclinic -1,{010},-0.34202014,0.93969262
+10,RC_nd1,1,Triclinic -1,{010},0.34202014,-0.93969262
+11,RC_nd2,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+11,RC_nd2,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+11,RC_nd2,432,Cubic_High m-3m,{001},0.57357644,-0.81915204
+11,RC_nd2,432,Cubic_High m-3m,{001},0.57357644,-0.81915204
+11,RC_nd2,432,Cubic_High m-3m,{001},0.81915204,0.57357644
+11,RC_nd2,432,Cubic_High m-3m,{001},0.81915204,0.57357644
+11,RC_nd2,432,Cubic_High m-3m,{011},-0.33930389,-0.23758314
+11,RC_nd2,432,Cubic_High m-3m,{011},-0.33930389,-0.23758314
+11,RC_nd2,432,Cubic_High m-3m,{011},-0.23758314,0.33930389
+11,RC_nd2,432,Cubic_High m-3m,{011},-0.23758314,0.33930389
+11,RC_nd2,432,Cubic_High m-3m,{011},0.17364818,0.98480775
+11,RC_nd2,432,Cubic_High m-3m,{011},0.17364818,0.98480775
+11,RC_nd2,432,Cubic_High m-3m,{011},0.23758314,-0.33930389
+11,RC_nd2,432,Cubic_High m-3m,{011},0.23758314,-0.33930389
+11,RC_nd2,432,Cubic_High m-3m,{011},0.33930389,0.23758314
+11,RC_nd2,432,Cubic_High m-3m,{011},0.33930389,0.23758314
+11,RC_nd2,432,Cubic_High m-3m,{011},0.98480775,-0.17364818
+11,RC_nd2,432,Cubic_High m-3m,{011},0.98480775,-0.17364818
+11,RC_nd2,432,Cubic_High m-3m,{111},-0.50977400,0.08988691
+11,RC_nd2,432,Cubic_High m-3m,{111},-0.50977400,0.08988691
+11,RC_nd2,432,Cubic_High m-3m,{111},-0.08988691,-0.50977400
+11,RC_nd2,432,Cubic_High m-3m,{111},-0.08988691,-0.50977400
+11,RC_nd2,432,Cubic_High m-3m,{111},0.08988691,0.50977400
+11,RC_nd2,432,Cubic_High m-3m,{111},0.08988691,0.50977400
+11,RC_nd2,432,Cubic_High m-3m,{111},0.50977400,-0.08988691
+11,RC_nd2,432,Cubic_High m-3m,{111},0.50977400,-0.08988691
+11,RC_nd2,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+11,RC_nd2,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+11,RC_nd2,23,Cubic_Low m-3,{001},0.57357644,-0.81915204
+11,RC_nd2,23,Cubic_Low m-3,{001},0.57357644,-0.81915204
+11,RC_nd2,23,Cubic_Low m-3,{001},0.81915204,0.57357644
+11,RC_nd2,23,Cubic_Low m-3,{001},0.81915204,0.57357644
+11,RC_nd2,23,Cubic_Low m-3,{011},-0.33930389,-0.23758314
+11,RC_nd2,23,Cubic_Low m-3,{011},-0.33930389,-0.23758314
+11,RC_nd2,23,Cubic_Low m-3,{011},-0.23758314,0.33930389
+11,RC_nd2,23,Cubic_Low m-3,{011},-0.23758314,0.33930389
+11,RC_nd2,23,Cubic_Low m-3,{011},0.17364818,0.98480775
+11,RC_nd2,23,Cubic_Low m-3,{011},0.17364818,0.98480775
+11,RC_nd2,23,Cubic_Low m-3,{011},0.23758314,-0.33930389
+11,RC_nd2,23,Cubic_Low m-3,{011},0.23758314,-0.33930389
+11,RC_nd2,23,Cubic_Low m-3,{011},0.33930389,0.23758314
+11,RC_nd2,23,Cubic_Low m-3,{011},0.33930389,0.23758314
+11,RC_nd2,23,Cubic_Low m-3,{011},0.98480775,-0.17364818
+11,RC_nd2,23,Cubic_Low m-3,{011},0.98480775,-0.17364818
+11,RC_nd2,23,Cubic_Low m-3,{111},-0.50977400,0.08988691
+11,RC_nd2,23,Cubic_Low m-3,{111},-0.50977400,0.08988691
+11,RC_nd2,23,Cubic_Low m-3,{111},-0.08988691,-0.50977400
+11,RC_nd2,23,Cubic_Low m-3,{111},-0.08988691,-0.50977400
+11,RC_nd2,23,Cubic_Low m-3,{111},0.08988691,0.50977400
+11,RC_nd2,23,Cubic_Low m-3,{111},0.08988691,0.50977400
+11,RC_nd2,23,Cubic_Low m-3,{111},0.50977400,-0.08988691
+11,RC_nd2,23,Cubic_Low m-3,{111},0.50977400,-0.08988691
+11,RC_nd2,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.00000000
+11,RC_nd2,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.00000000
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},-0.81915204,-0.57357644
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},-0.08715574,0.99619470
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},0.08715574,-0.99619470
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},0.81915204,0.57357644
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},0.90630779,-0.42261826
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},0.90630779,-0.42261826
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},-0.99619470,-0.08715574
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},-0.42261826,-0.90630779
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},0.42261826,0.90630779
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},0.57357644,-0.81915204
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},0.57357644,-0.81915204
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},0.99619470,0.08715574
+11,RC_nd2,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.00000000
+11,RC_nd2,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.00000000
+11,RC_nd2,6,Hexagonal_Low 6/m,{10-10},-0.90630779,0.42261826
+11,RC_nd2,6,Hexagonal_Low 6/m,{10-10},-0.81915204,-0.57357644
+11,RC_nd2,6,Hexagonal_Low 6/m,{10-10},-0.08715574,0.99619470
+11,RC_nd2,6,Hexagonal_Low 6/m,{10-10},0.08715574,-0.99619470
+11,RC_nd2,6,Hexagonal_Low 6/m,{10-10},0.81915204,0.57357644
+11,RC_nd2,6,Hexagonal_Low 6/m,{10-10},0.90630779,-0.42261826
+11,RC_nd2,6,Hexagonal_Low 6/m,{11-20},-0.99619470,-0.08715574
+11,RC_nd2,6,Hexagonal_Low 6/m,{11-20},-0.57357644,0.81915204
+11,RC_nd2,6,Hexagonal_Low 6/m,{11-20},-0.42261826,-0.90630779
+11,RC_nd2,6,Hexagonal_Low 6/m,{11-20},0.42261826,0.90630779
+11,RC_nd2,6,Hexagonal_Low 6/m,{11-20},0.57357644,-0.81915204
+11,RC_nd2,6,Hexagonal_Low 6/m,{11-20},0.99619470,0.08715574
+11,RC_nd2,32,Trigonal_High -3m,{0001},-0.00000000,-0.00000000
+11,RC_nd2,32,Trigonal_High -3m,{0001},-0.00000000,-0.00000000
+11,RC_nd2,32,Trigonal_High -3m,{0-110},-0.81915204,-0.57357644
+11,RC_nd2,32,Trigonal_High -3m,{0-110},-0.08715574,0.99619470
+11,RC_nd2,32,Trigonal_High -3m,{0-110},0.08715574,-0.99619470
+11,RC_nd2,32,Trigonal_High -3m,{0-110},0.81915204,0.57357644
+11,RC_nd2,32,Trigonal_High -3m,{0-110},0.90630779,-0.42261826
+11,RC_nd2,32,Trigonal_High -3m,{0-110},0.90630779,-0.42261826
+11,RC_nd2,32,Trigonal_High -3m,{1-100},-0.90630779,0.42261826
+11,RC_nd2,32,Trigonal_High -3m,{1-100},-0.08715574,0.99619470
+11,RC_nd2,32,Trigonal_High -3m,{1-100},0.08715574,-0.99619470
+11,RC_nd2,32,Trigonal_High -3m,{1-100},0.81915204,0.57357644
+11,RC_nd2,32,Trigonal_High -3m,{1-100},0.81915204,0.57357644
+11,RC_nd2,32,Trigonal_High -3m,{1-100},0.90630779,-0.42261826
+11,RC_nd2,3,Trigonal_Low -3,{0001},-0.00000000,-0.00000000
+11,RC_nd2,3,Trigonal_Low -3,{0001},-0.00000000,-0.00000000
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},-0.99619470,-0.08715574
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},-0.57357644,0.81915204
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},-0.42261826,-0.90630779
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},0.42261826,0.90630779
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},0.57357644,-0.81915204
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},0.99619470,0.08715574
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},-0.99619470,-0.08715574
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},-0.57357644,0.81915204
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},-0.42261826,-0.90630779
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},0.42261826,0.90630779
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},0.57357644,-0.81915204
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},0.99619470,0.08715574
+11,RC_nd2,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.00000000
+11,RC_nd2,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.00000000
+11,RC_nd2,422,Tetragonal_High 4/mmm,{100},-0.81915204,-0.57357644
+11,RC_nd2,422,Tetragonal_High 4/mmm,{100},-0.57357644,0.81915204
+11,RC_nd2,422,Tetragonal_High 4/mmm,{100},0.57357644,-0.81915204
+11,RC_nd2,422,Tetragonal_High 4/mmm,{100},0.81915204,0.57357644
+11,RC_nd2,422,Tetragonal_High 4/mmm,{110},-0.17364818,-0.98480775
+11,RC_nd2,422,Tetragonal_High 4/mmm,{110},0.17364818,0.98480775
+11,RC_nd2,422,Tetragonal_High 4/mmm,{110},0.98480775,-0.17364818
+11,RC_nd2,422,Tetragonal_High 4/mmm,{110},0.98480775,-0.17364818
+11,RC_nd2,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+11,RC_nd2,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+11,RC_nd2,4,Tetragonal_Low 4/m,{100},-0.81915204,-0.57357644
+11,RC_nd2,4,Tetragonal_Low 4/m,{100},-0.57357644,0.81915204
+11,RC_nd2,4,Tetragonal_Low 4/m,{100},0.57357644,-0.81915204
+11,RC_nd2,4,Tetragonal_Low 4/m,{100},0.81915204,0.57357644
+11,RC_nd2,4,Tetragonal_Low 4/m,{110},-0.98480775,0.17364818
+11,RC_nd2,4,Tetragonal_Low 4/m,{110},-0.17364818,-0.98480775
+11,RC_nd2,4,Tetragonal_Low 4/m,{110},0.17364818,0.98480775
+11,RC_nd2,4,Tetragonal_Low 4/m,{110},0.98480775,-0.17364818
+11,RC_nd2,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+11,RC_nd2,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+11,RC_nd2,222,OrthoRhombic mmm,{100},-0.81915204,-0.57357644
+11,RC_nd2,222,OrthoRhombic mmm,{100},0.81915204,0.57357644
+11,RC_nd2,222,OrthoRhombic mmm,{010},-0.57357644,0.81915204
+11,RC_nd2,222,OrthoRhombic mmm,{010},0.57357644,-0.81915204
+11,RC_nd2,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+11,RC_nd2,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+11,RC_nd2,2,Monoclinic 2/m,{100},-0.81915204,-0.57357644
+11,RC_nd2,2,Monoclinic 2/m,{100},0.81915204,0.57357644
+11,RC_nd2,2,Monoclinic 2/m,{010},-0.57357644,0.81915204
+11,RC_nd2,2,Monoclinic 2/m,{010},0.57357644,-0.81915204
+11,RC_nd2,1,Triclinic -1,{001},-0.00000000,-0.00000000
+11,RC_nd2,1,Triclinic -1,{001},-0.00000000,-0.00000000
+11,RC_nd2,1,Triclinic -1,{100},-0.81915204,-0.57357644
+11,RC_nd2,1,Triclinic -1,{100},0.81915204,0.57357644
+11,RC_nd2,1,Triclinic -1,{010},-0.57357644,0.81915204
+11,RC_nd2,1,Triclinic -1,{010},0.57357644,-0.81915204
diff --git a/Data/Pole_Figure_Validation/mtex_pole_figure_positions.m b/Data/Pole_Figure_Validation/mtex_pole_figure_positions.m
index 462074e1..a027eb99 100644
--- a/Data/Pole_Figure_Validation/mtex_pole_figure_positions.m
+++ b/Data/Pole_Figure_Validation/mtex_pole_figure_positions.m
@@ -17,20 +17,29 @@
 %   orient_id, orient_name, rotation_point_group, symmetry_name,
 %   plane_family, x, y
 %
-% Comparison is then a per-bucket nearest-neighbor match between
-% mtex_pole_figure_positions.csv and ebsdlib_pole_figure_positions.csv.
+% Comparison is then a per-bucket nearest-neighbor match between the golden
+% CSV and ebsdlib_pole_figure_positions.csv.
+%
+% TWO goldens are emitted, one per hexagonal/trigonal Cartesian convention:
+%   mtex_pole_figure_positions.csv     -> X||a* (MTEX/Oxford)
+%   mtex_pole_figure_positions_xa.csv  -> X||a  (TSL/EDAX, the 3.1 default)
+% The convention only changes the hex/trig crystalSymmetry alignment (a 30
+% deg basis rotation about c). Every other Laue class ignores it, so those
+% rows are identical between the two files — exactly mirroring EbsdLib's
+% getDefaultPoleFigureNames()/generateSphereCoordsFromEulers() behavior.
+% The plane-family labels are convention-independent (brace notation) and
+% MUST match the C++ getDefaultPoleFigureNames() output verbatim.
 %
 % Usage:
 %   1. Run this script in MATLAB (MTEX must be on the path; run
 %      `startup_mtex` first if needed). The companion shell wrapper
 %      run_mtex_pole_figure_positions.sh handles MTEX startup
 %      automatically.
-%   2. The CSV is written into the same directory as this script
-%      (Data/Pole_Figure_Validation/). It is the committed golden against
-%      which PoleFigurePositionTest.cpp compares the EbsdLib output.
+%   2. Both CSVs are written into the same directory as this script
+%      (Data/Pole_Figure_Validation/). They are the committed goldens
+%      against which PoleFigurePositionTest.cpp compares the EbsdLib output.
 
 scriptDir = fileparts(mfilename('fullpath'));
-csvPath = fullfile(scriptDir, 'mtex_pole_figure_positions.csv');
 
 % -----------------------------------------------------------------------------
 % Reference Bunge tuples in degrees -- mirror the C++ test exactly.
@@ -51,170 +60,187 @@
 };
 
 % -----------------------------------------------------------------------------
-% Per-Laue-class mapping. Borrowed from compare_pole_figures_all_laue.m and
-% kept in lockstep with EbsdLib's getDefaultPoleFigureNames() output. The
-% label strings MUST match the C++ side exactly so the CSV bucket join
-% works.
-%
-% rpg : EbsdLib rotation point group string (also the join key)
-% symName : informational label, mirrors LaueOps::getSymmetryName()
-% cs : MTEX crystalSymmetry instance
-% h : 1x3 cell array of Miller index tuples (3- or 4-element)
-% labels : 1x3 cell array of pole figure label strings (must match
-%          EbsdLib output verbatim, including angle brackets)
-% -----------------------------------------------------------------------------
-laue = struct([]);
-
-laue(end+1).rpg = '432';
-laue(end).symName = 'Cubic_High m-3m';
-laue(end).cs = crystalSymmetry('m-3m');
-laue(end).h = {[0 0 1], [0 1 1], [1 1 1]};
-laue(end).labels = {'<001>', '<011>', '<111>'};
-
-laue(end+1).rpg = '23';
-laue(end).symName = 'Cubic_Low m-3';
-laue(end).cs = crystalSymmetry('m-3');
-laue(end).h = {[0 0 1], [0 1 1], [1 1 1]};
-laue(end).labels = {'<001>', '<011>', '<111>'};
-
-laue(end+1).rpg = '622';
-laue(end).symName = 'Hexagonal_High 6/mmm';
-laue(end).cs = crystalSymmetry('6/mmm', [1 1 1.6], 'X||a*');
-laue(end).h = {[0 0 0 1], [1 0 -1 0], [1 1 -2 0]};
-laue(end).labels = {'<0001>', '<10-10>', '<11-20>'};
-
-laue(end+1).rpg = '6';
-laue(end).symName = 'Hexagonal_Low 6/m';
-laue(end).cs = crystalSymmetry('6/m', [1 1 1.6], 'X||a*');
-laue(end).h = {[0 0 0 1], [1 0 -1 0], [1 1 -2 0]};
-laue(end).labels = {'<0001>', '<10-10>', '<11-20>'};
-
-laue(end+1).rpg = '32';
-laue(end).symName = 'Trigonal_High -3m';
-laue(end).cs = crystalSymmetry('-3m', [1 1 1.6], 'X||a*');
-laue(end).h = {[0 0 0 1], [0 -1 1 0], [1 -1 0 0]};
-laue(end).labels = {'<0001>', '<0-110>', '<1-100>'};
-
-laue(end+1).rpg = '3';
-laue(end).symName = 'Trigonal_Low -3';
-laue(end).cs = crystalSymmetry('-3', [1 1 1.6], 'X||a*');
-laue(end).h = {[0 0 0 1], [-1 -1 2 0], [2 -1 -1 0]};
-laue(end).labels = {'<0001>', '<-1-120>', '<2-1-10>'};
-
-laue(end+1).rpg = '422';
-laue(end).symName = 'Tetragonal_High 4/mmm';
-laue(end).cs = crystalSymmetry('4/mmm');
-laue(end).h = {[0 0 1], [1 0 0], [1 1 0]};
-laue(end).labels = {'<001>', '<100>', '<110>'};
-
-laue(end+1).rpg = '4';
-laue(end).symName = 'Tetragonal_Low 4/m';
-laue(end).cs = crystalSymmetry('4/m');
-laue(end).h = {[0 0 1], [1 0 0], [1 1 0]};
-laue(end).labels = {'<001>', '<100>', '<110>'};
-
-laue(end+1).rpg = '222';
-laue(end).symName = 'OrthoRhombic mmm';
-laue(end).cs = crystalSymmetry('mmm');
-laue(end).h = {[0 0 1], [1 0 0], [0 1 0]};
-laue(end).labels = {'<001>', '<100>', '<010>'};
-
-laue(end+1).rpg = '2';
-laue(end).symName = 'Monoclinic 2/m';
-laue(end).cs = crystalSymmetry('2/m');
-laue(end).h = {[0 0 1], [1 0 0], [0 1 0]};
-laue(end).labels = {'<001>', '<100>', '<010>'};
-
-laue(end+1).rpg = '1';
-laue(end).symName = 'Triclinic -1';
-laue(end).cs = crystalSymmetry('-1');
-laue(end).h = {[0 0 1], [1 0 0], [0 1 0]};
-laue(end).labels = {'<001>', '<100>', '<010>'};
-
+% Conventions to emit. The hexagonal/trigonal crystalSymmetry alignment is
+% the only thing that changes per convention; all other Laue classes ignore
+% it and produce identical rows in both files.
 % -----------------------------------------------------------------------------
-% Open CSV and write header
-% -----------------------------------------------------------------------------
-fid = fopen(csvPath, 'w');
-if fid < 0
-    error('Could not open output CSV: %s', csvPath);
-end
-fprintf(fid, 'orient_id,orient_name,rotation_point_group,symmetry_name,plane_family,x,y\n');
+conventions = { ...
+    'X||a*', fullfile(scriptDir, 'mtex_pole_figure_positions.csv')    ; ...
+    'X||a',  fullfile(scriptDir, 'mtex_pole_figure_positions_xa.csv') ; ...
+};
 
 ss = specimenSymmetry('1');
 
-% Iterate orientations x Laue classes x plane families
-for oi = 1:size(canonical, 1)
-    name = canonical{oi, 1};
-    phi1 = canonical{oi, 2} * degree;
-    Phi  = canonical{oi, 3} * degree;
-    phi2 = canonical{oi, 4} * degree;
-    orientId = oi - 1;  % 0-based to match the C++ test
-
-    for li = 1:numel(laue)
-        info = laue(li);
-        cs = info.cs;
-        ori = orientation.byEuler(phi1, Phi, phi2, cs, ss);
-
-        for fi = 1:3
-            idx = info.h{fi};
-            if numel(idx) == 4
-                m = Miller(idx(1), idx(2), idx(3), idx(4), cs);
-            else
-                m = Miller(idx(1), idx(2), idx(3), cs);
-            end
+for ci = 1:size(conventions, 1)
+    xAlign  = conventions{ci, 1};
+    csvPath = conventions{ci, 2};
+
+    % -------------------------------------------------------------------------
+    % Per-Laue-class mapping. Borrowed from compare_pole_figures_all_laue.m and
+    % kept in lockstep with EbsdLib's getDefaultPoleFigureNames() output. The
+    % label strings MUST match the C++ side exactly so the CSV bucket join
+    % works.
+    %
+    % rpg : EbsdLib rotation point group string (also the join key)
+    % symName : informational label, mirrors LaueOps::getSymmetryName()
+    % cs : MTEX crystalSymmetry instance (hex/trig use the current alignment)
+    % h : 1x3 cell array of Miller index tuples (3- or 4-element)
+    % labels : 1x3 cell array of pole figure label strings (must match
+    %          EbsdLib output verbatim; convention-independent brace notation)
+    % -------------------------------------------------------------------------
+    laue = struct([]);
+
+    laue(end+1).rpg = '432';
+    laue(end).symName = 'Cubic_High m-3m';
+    laue(end).cs = crystalSymmetry('m-3m');
+    laue(end).h = {[0 0 1], [0 1 1], [1 1 1]};
+    laue(end).labels = {'{001}', '{011}', '{111}'};
+
+    laue(end+1).rpg = '23';
+    laue(end).symName = 'Cubic_Low m-3';
+    laue(end).cs = crystalSymmetry('m-3');
+    laue(end).h = {[0 0 1], [0 1 1], [1 1 1]};
+    laue(end).labels = {'{001}', '{011}', '{111}'};
+
+    laue(end+1).rpg = '622';
+    laue(end).symName = 'Hexagonal_High 6/mmm';
+    laue(end).cs = crystalSymmetry('6/mmm', [1 1 1.6], xAlign);
+    laue(end).h = {[0 0 0 1], [1 0 -1 0], [1 1 -2 0]};
+    laue(end).labels = {'{0001}', '{10-10}', '{11-20}'};
+
+    laue(end+1).rpg = '6';
+    laue(end).symName = 'Hexagonal_Low 6/m';
+    laue(end).cs = crystalSymmetry('6/m', [1 1 1.6], xAlign);
+    laue(end).h = {[0 0 0 1], [1 0 -1 0], [1 1 -2 0]};
+    laue(end).labels = {'{0001}', '{10-10}', '{11-20}'};
+
+    laue(end+1).rpg = '32';
+    laue(end).symName = 'Trigonal_High -3m';
+    laue(end).cs = crystalSymmetry('-3m', [1 1 1.6], xAlign);
+    laue(end).h = {[0 0 0 1], [0 -1 1 0], [1 -1 0 0]};
+    laue(end).labels = {'{0001}', '{0-110}', '{1-100}'};
+
+    laue(end+1).rpg = '3';
+    laue(end).symName = 'Trigonal_Low -3';
+    laue(end).cs = crystalSymmetry('-3', [1 1 1.6], xAlign);
+    laue(end).h = {[0 0 0 1], [-1 -1 2 0], [2 -1 -1 0]};
+    laue(end).labels = {'{0001}', '{-1-120}', '{2-1-10}'};
+
+    laue(end+1).rpg = '422';
+    laue(end).symName = 'Tetragonal_High 4/mmm';
+    laue(end).cs = crystalSymmetry('4/mmm');
+    laue(end).h = {[0 0 1], [1 0 0], [1 1 0]};
+    laue(end).labels = {'{001}', '{100}', '{110}'};
+
+    laue(end+1).rpg = '4';
+    laue(end).symName = 'Tetragonal_Low 4/m';
+    laue(end).cs = crystalSymmetry('4/m');
+    laue(end).h = {[0 0 1], [1 0 0], [1 1 0]};
+    laue(end).labels = {'{001}', '{100}', '{110}'};
+
+    laue(end+1).rpg = '222';
+    laue(end).symName = 'OrthoRhombic mmm';
+    laue(end).cs = crystalSymmetry('mmm');
+    laue(end).h = {[0 0 1], [1 0 0], [0 1 0]};
+    laue(end).labels = {'{001}', '{100}', '{010}'};
+
+    laue(end+1).rpg = '2';
+    laue(end).symName = 'Monoclinic 2/m';
+    laue(end).cs = crystalSymmetry('2/m');
+    laue(end).h = {[0 0 1], [1 0 0], [0 1 0]};
+    laue(end).labels = {'{001}', '{100}', '{010}'};
+
+    laue(end+1).rpg = '1';
+    laue(end).symName = 'Triclinic -1';
+    laue(end).cs = crystalSymmetry('-1');
+    laue(end).h = {[0 0 1], [1 0 0], [0 1 0]};
+    laue(end).labels = {'{001}', '{100}', '{010}'};
+
+    % -------------------------------------------------------------------------
+    % Open CSV and write header
+    % -------------------------------------------------------------------------
+    fid = fopen(csvPath, 'w');
+    if fid < 0
+        error('Could not open output CSV: %s', csvPath);
+    end
+    fprintf(fid, 'orient_id,orient_name,rotation_point_group,symmetry_name,plane_family,x,y\n');
+
+    % Iterate orientations x Laue classes x plane families
+    for oi = 1:size(canonical, 1)
+        name = canonical{oi, 1};
+        phi1 = canonical{oi, 2} * degree;
+        Phi  = canonical{oi, 3} * degree;
+        phi2 = canonical{oi, 4} * degree;
+        orientId = oi - 1;  % 0-based to match the C++ test
+
+        for li = 1:numel(laue)
+            info = laue(li);
+            cs = info.cs;
+            ori = orientation.byEuler(phi1, Phi, phi2, cs, ss);
+
+            for fi = 1:3
+                idx = info.h{fi};
+                if numel(idx) == 4
+                    m = Miller(idx(1), idx(2), idx(3), idx(4), cs);
+                else
+                    m = Miller(idx(1), idx(2), idx(3), cs);
+                end
 
-            % Symmetry orbit in crystal frame, then map to sample frame.
-            % MTEX's symmetrise() returns |cs| entries -- one per symmetry
-            % operation, including stabilizer ops that fix the pole. EbsdLib
-            % returns the unique orbit (size = |cs| / |stabilizer|), so we
-            % dedupe below.
-            %
-            % MTEX's Miller cartesian is in *lattice units* -- e.g. Miller([1 1 1])
-            % has length sqrt(3), and Miller([0 0 0 1]) for hex with c=1.6 has
-            % length 1.6. EbsdLib explicitly normalizes its hardcoded direction
-            % vectors before projection, so we must normalize here too.
-            mSym = symmetrise(m, cs);
-            vSample = ori * mSym;        % vector3d array, length = |cs|
-            xs = vSample.x; ys = vSample.y; zs = vSample.z;
-            mag = sqrt(xs.^2 + ys.^2 + zs.^2);
-            xs = xs ./ mag; ys = ys ./ mag; zs = zs ./ mag;
-
-            % Dedupe in 3D after normalization (round to 1e-8 to absorb FP noise).
-            xyzKey = round([xs(:), ys(:), zs(:)] * 1e8) / 1e8;
-            [~, ia] = unique(xyzKey, 'rows', 'stable');
-            xs = xs(ia); ys = ys(ia); zs = zs(ia);
-
-            % Project all directions in this bucket, then emit in sorted
-            % (px, py) order so the CSV is byte-stable across MTEX runs.
-            % MTEX's symmetrise() emission order isn't guaranteed stable when
-            % multiple symmetry-equivalent directions hash-collide (we hit
-            % this in the 622/<11-20> bucket -- same 12 points emitted, but
-            % the two halves of an antipodal pair swap order between runs).
-            % The PoleFigurePositionTest comparator is order-independent so
-            % the math is unaffected, but sorting here means `git diff` on a
-            % regenerated golden is a clean signal of "the goldens moved"
-            % rather than "MTEX shuffled the rows".
-            bucketRows = zeros(numel(xs), 2);
-            for k = 1:numel(xs)
-                x = xs(k); y = ys(k); z = zs(k);
-                if z < 0.0
-                    x = -x; y = -y; z = -z;
+                % Symmetry orbit in crystal frame, then map to sample frame.
+                % MTEX's symmetrise() returns |cs| entries -- one per symmetry
+                % operation, including stabilizer ops that fix the pole. EbsdLib
+                % returns the unique orbit (size = |cs| / |stabilizer|), so we
+                % dedupe below.
+                %
+                % MTEX's Miller cartesian is in *lattice units* -- e.g. Miller([1 1 1])
+                % has length sqrt(3), and Miller([0 0 0 1]) for hex with c=1.6 has
+                % length 1.6. EbsdLib explicitly normalizes its hardcoded direction
+                % vectors before projection, so we must normalize here too.
+                mSym = symmetrise(m, cs);
+                vSample = ori * mSym;        % vector3d array, length = |cs|
+                xs = vSample.x; ys = vSample.y; zs = vSample.z;
+                mag = sqrt(xs.^2 + ys.^2 + zs.^2);
+                xs = xs ./ mag; ys = ys ./ mag; zs = zs ./ mag;
+
+                % Dedupe in 3D after normalization (round to 1e-8 to absorb FP noise).
+                xyzKey = round([xs(:), ys(:), zs(:)] * 1e8) / 1e8;
+                [~, ia] = unique(xyzKey, 'rows', 'stable');
+                xs = xs(ia); ys = ys(ia); zs = zs(ia);
+
+                % Project all directions in this bucket, then emit in sorted
+                % (px, py) order so the CSV is byte-stable across MTEX runs.
+                % MTEX's symmetrise() emission order isn't guaranteed stable when
+                % multiple symmetry-equivalent directions hash-collide (we hit
+                % this in the 622/{11-20} bucket -- same 12 points emitted, but
+                % the two halves of an antipodal pair swap order between runs).
+                % The PoleFigurePositionTest comparator is order-independent so
+                % the math is unaffected, but sorting here means `git diff` on a
+                % regenerated golden is a clean signal of "the goldens moved"
+                % rather than "MTEX shuffled the rows".
+                bucketRows = zeros(numel(xs), 2);
+                for k = 1:numel(xs)
+                    x = xs(k); y = ys(k); z = zs(k);
+                    if z < 0.0
+                        x = -x; y = -y; z = -z;
+                    end
+                    bucketRows(k, 1) = x / (1.0 + z);
+                    bucketRows(k, 2) = y / (1.0 + z);
                 end
-                bucketRows(k, 1) = x / (1.0 + z);
-                bucketRows(k, 2) = y / (1.0 + z);
-            end
-            bucketRows = sortrows(round(bucketRows * 1e8) / 1e8);
+                bucketRows = sortrows(round(bucketRows * 1e8) / 1e8);
 
-            for k = 1:size(bucketRows, 1)
-                fprintf(fid, '%d,%s,%s,%s,%s,%.8f,%.8f\n', ...
-                    orientId, name, info.rpg, info.symName, info.labels{fi}, ...
-                    bucketRows(k, 1), bucketRows(k, 2));
+                for k = 1:size(bucketRows, 1)
+                    fprintf(fid, '%d,%s,%s,%s,%s,%.8f,%.8f\n', ...
+                        orientId, name, info.rpg, info.symName, info.labels{fi}, ...
+                        bucketRows(k, 1), bucketRows(k, 2));
+                end
             end
         end
     end
+
+    fclose(fid);
+    fprintf('Wrote %s\n', csvPath);
 end
 
-fclose(fid);
-fprintf('Wrote %s\n', csvPath);
-fprintf('This is the committed golden -- PoleFigurePositionTest.cpp loads it\n');
-fprintf('and runs the comparison automatically. See ReadMe.md in this directory.\n');
+fprintf('These are the committed goldens -- PoleFigurePositionTest.cpp loads\n');
+fprintf('mtex_pole_figure_positions.csv (X||a*) always, and\n');
+fprintf('mtex_pole_figure_positions_xa.csv (X||a) when present. See ReadMe.md.\n');
diff --git a/Data/Pole_Figure_Validation/mtex_pole_figure_positions_xa.csv b/Data/Pole_Figure_Validation/mtex_pole_figure_positions_xa.csv
new file mode 100644
index 00000000..77f61f80
--- /dev/null
+++ b/Data/Pole_Figure_Validation/mtex_pole_figure_positions_xa.csv
@@ -0,0 +1,1753 @@
+orient_id,orient_name,rotation_point_group,symmetry_name,plane_family,x,y
+0,Cube,432,Cubic_High m-3m,{001},0.00000000,-1.00000000
+0,Cube,432,Cubic_High m-3m,{001},0.00000000,-1.00000000
+0,Cube,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+0,Cube,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+0,Cube,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+0,Cube,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+0,Cube,432,Cubic_High m-3m,{011},-0.41421356,-0.00000000
+0,Cube,432,Cubic_High m-3m,{011},-0.41421356,-0.00000000
+0,Cube,432,Cubic_High m-3m,{011},-0.00000000,-0.41421356
+0,Cube,432,Cubic_High m-3m,{011},-0.00000000,-0.41421356
+0,Cube,432,Cubic_High m-3m,{011},-0.00000000,0.41421356
+0,Cube,432,Cubic_High m-3m,{011},-0.00000000,0.41421356
+0,Cube,432,Cubic_High m-3m,{011},0.41421356,0.00000000
+0,Cube,432,Cubic_High m-3m,{011},0.41421356,0.00000000
+0,Cube,432,Cubic_High m-3m,{011},0.70710678,-0.70710678
+0,Cube,432,Cubic_High m-3m,{011},0.70710678,-0.70710678
+0,Cube,432,Cubic_High m-3m,{011},0.70710678,0.70710678
+0,Cube,432,Cubic_High m-3m,{011},0.70710678,0.70710678
+0,Cube,432,Cubic_High m-3m,{111},-0.36602540,-0.36602540
+0,Cube,432,Cubic_High m-3m,{111},-0.36602540,-0.36602540
+0,Cube,432,Cubic_High m-3m,{111},-0.36602540,0.36602540
+0,Cube,432,Cubic_High m-3m,{111},-0.36602540,0.36602540
+0,Cube,432,Cubic_High m-3m,{111},0.36602540,-0.36602540
+0,Cube,432,Cubic_High m-3m,{111},0.36602540,-0.36602540
+0,Cube,432,Cubic_High m-3m,{111},0.36602540,0.36602540
+0,Cube,432,Cubic_High m-3m,{111},0.36602540,0.36602540
+0,Cube,23,Cubic_Low m-3,{001},0.00000000,-1.00000000
+0,Cube,23,Cubic_Low m-3,{001},0.00000000,-1.00000000
+0,Cube,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+0,Cube,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+0,Cube,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+0,Cube,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+0,Cube,23,Cubic_Low m-3,{011},-0.41421356,-0.00000000
+0,Cube,23,Cubic_Low m-3,{011},-0.41421356,-0.00000000
+0,Cube,23,Cubic_Low m-3,{011},0.00000000,-0.41421356
+0,Cube,23,Cubic_Low m-3,{011},0.00000000,-0.41421356
+0,Cube,23,Cubic_Low m-3,{011},-0.00000000,0.41421356
+0,Cube,23,Cubic_Low m-3,{011},-0.00000000,0.41421356
+0,Cube,23,Cubic_Low m-3,{011},0.41421356,0.00000000
+0,Cube,23,Cubic_Low m-3,{011},0.41421356,0.00000000
+0,Cube,23,Cubic_Low m-3,{011},0.70710678,-0.70710678
+0,Cube,23,Cubic_Low m-3,{011},0.70710678,-0.70710678
+0,Cube,23,Cubic_Low m-3,{011},0.70710678,0.70710678
+0,Cube,23,Cubic_Low m-3,{011},0.70710678,0.70710678
+0,Cube,23,Cubic_Low m-3,{111},-0.36602540,-0.36602540
+0,Cube,23,Cubic_Low m-3,{111},-0.36602540,-0.36602540
+0,Cube,23,Cubic_Low m-3,{111},-0.36602540,0.36602540
+0,Cube,23,Cubic_Low m-3,{111},-0.36602540,0.36602540
+0,Cube,23,Cubic_Low m-3,{111},0.36602540,-0.36602540
+0,Cube,23,Cubic_Low m-3,{111},0.36602540,-0.36602540
+0,Cube,23,Cubic_Low m-3,{111},0.36602540,0.36602540
+0,Cube,23,Cubic_Low m-3,{111},0.36602540,0.36602540
+0,Cube,622,Hexagonal_High 6/mmm,{0001},0.00000000,0.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},-0.86602540,-0.50000000
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},-0.86602540,-0.50000000
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},0.00000000,-1.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},0.00000000,-1.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},0.86602540,-0.50000000
+0,Cube,622,Hexagonal_High 6/mmm,{10-10},0.86602540,-0.50000000
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},-1.00000000,-0.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},-1.00000000,-0.00000000
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},-0.50000000,-0.86602540
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},-0.50000000,-0.86602540
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},0.50000000,-0.86602540
+0,Cube,622,Hexagonal_High 6/mmm,{11-20},0.50000000,-0.86602540
+0,Cube,6,Hexagonal_Low 6/m,{0001},0.00000000,0.00000000
+0,Cube,6,Hexagonal_Low 6/m,{0001},-0.00000000,-0.00000000
+0,Cube,6,Hexagonal_Low 6/m,{10-10},-0.86602540,-0.50000000
+0,Cube,6,Hexagonal_Low 6/m,{10-10},-0.86602540,-0.50000000
+0,Cube,6,Hexagonal_Low 6/m,{10-10},0.00000000,-1.00000000
+0,Cube,6,Hexagonal_Low 6/m,{10-10},0.00000000,-1.00000000
+0,Cube,6,Hexagonal_Low 6/m,{10-10},0.86602540,-0.50000000
+0,Cube,6,Hexagonal_Low 6/m,{10-10},0.86602540,-0.50000000
+0,Cube,6,Hexagonal_Low 6/m,{11-20},-1.00000000,-0.00000000
+0,Cube,6,Hexagonal_Low 6/m,{11-20},-1.00000000,-0.00000000
+0,Cube,6,Hexagonal_Low 6/m,{11-20},-0.50000000,-0.86602540
+0,Cube,6,Hexagonal_Low 6/m,{11-20},-0.50000000,-0.86602540
+0,Cube,6,Hexagonal_Low 6/m,{11-20},0.50000000,-0.86602540
+0,Cube,6,Hexagonal_Low 6/m,{11-20},0.50000000,-0.86602540
+0,Cube,32,Trigonal_High -3m,{0001},0.00000000,0.00000000
+0,Cube,32,Trigonal_High -3m,{0001},-0.00000000,-0.00000000
+0,Cube,32,Trigonal_High -3m,{0-110},-0.86602540,-0.50000000
+0,Cube,32,Trigonal_High -3m,{0-110},-0.86602540,-0.50000000
+0,Cube,32,Trigonal_High -3m,{0-110},0.00000000,-1.00000000
+0,Cube,32,Trigonal_High -3m,{0-110},0.00000000,-1.00000000
+0,Cube,32,Trigonal_High -3m,{0-110},0.86602540,-0.50000000
+0,Cube,32,Trigonal_High -3m,{0-110},0.86602540,-0.50000000
+0,Cube,32,Trigonal_High -3m,{1-100},-0.86602540,-0.50000000
+0,Cube,32,Trigonal_High -3m,{1-100},-0.86602540,-0.50000000
+0,Cube,32,Trigonal_High -3m,{1-100},-0.86602540,0.50000000
+0,Cube,32,Trigonal_High -3m,{1-100},0.00000000,-1.00000000
+0,Cube,32,Trigonal_High -3m,{1-100},0.00000000,-1.00000000
+0,Cube,32,Trigonal_High -3m,{1-100},0.86602540,-0.50000000
+0,Cube,3,Trigonal_Low -3,{0001},0.00000000,0.00000000
+0,Cube,3,Trigonal_Low -3,{0001},-0.00000000,-0.00000000
+0,Cube,3,Trigonal_Low -3,{-1-120},-1.00000000,-0.00000000
+0,Cube,3,Trigonal_Low -3,{-1-120},-1.00000000,-0.00000000
+0,Cube,3,Trigonal_Low -3,{-1-120},-0.50000000,-0.86602540
+0,Cube,3,Trigonal_Low -3,{-1-120},-0.50000000,-0.86602540
+0,Cube,3,Trigonal_Low -3,{-1-120},0.50000000,-0.86602540
+0,Cube,3,Trigonal_Low -3,{-1-120},0.50000000,-0.86602540
+0,Cube,3,Trigonal_Low -3,{2-1-10},-1.00000000,-0.00000000
+0,Cube,3,Trigonal_Low -3,{2-1-10},-1.00000000,-0.00000000
+0,Cube,3,Trigonal_Low -3,{2-1-10},-0.50000000,-0.86602540
+0,Cube,3,Trigonal_Low -3,{2-1-10},-0.50000000,-0.86602540
+0,Cube,3,Trigonal_Low -3,{2-1-10},0.50000000,-0.86602540
+0,Cube,3,Trigonal_Low -3,{2-1-10},0.50000000,-0.86602540
+0,Cube,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{100},-1.00000000,-0.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{100},0.00000000,-1.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{100},-0.00000000,1.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+0,Cube,422,Tetragonal_High 4/mmm,{110},-0.70710678,-0.70710678
+0,Cube,422,Tetragonal_High 4/mmm,{110},0.70710678,-0.70710678
+0,Cube,422,Tetragonal_High 4/mmm,{110},0.70710678,-0.70710678
+0,Cube,422,Tetragonal_High 4/mmm,{110},0.70710678,0.70710678
+0,Cube,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+0,Cube,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+0,Cube,4,Tetragonal_Low 4/m,{100},-1.00000000,-0.00000000
+0,Cube,4,Tetragonal_Low 4/m,{100},0.00000000,-1.00000000
+0,Cube,4,Tetragonal_Low 4/m,{100},-0.00000000,1.00000000
+0,Cube,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+0,Cube,4,Tetragonal_Low 4/m,{110},-0.70710678,-0.70710678
+0,Cube,4,Tetragonal_Low 4/m,{110},-0.70710678,0.70710678
+0,Cube,4,Tetragonal_Low 4/m,{110},0.70710678,-0.70710678
+0,Cube,4,Tetragonal_Low 4/m,{110},0.70710678,0.70710678
+0,Cube,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+0,Cube,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+0,Cube,222,OrthoRhombic mmm,{100},-1.00000000,-0.00000000
+0,Cube,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+0,Cube,222,OrthoRhombic mmm,{010},0.00000000,-1.00000000
+0,Cube,222,OrthoRhombic mmm,{010},-0.00000000,1.00000000
+0,Cube,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+0,Cube,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+0,Cube,2,Monoclinic 2/m,{100},-1.00000000,-0.00000000
+0,Cube,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+0,Cube,2,Monoclinic 2/m,{010},0.00000000,-1.00000000
+0,Cube,2,Monoclinic 2/m,{010},-0.00000000,1.00000000
+0,Cube,1,Triclinic -1,{001},-0.00000000,-0.00000000
+0,Cube,1,Triclinic -1,{001},-0.00000000,-0.00000000
+0,Cube,1,Triclinic -1,{100},-1.00000000,-0.00000000
+0,Cube,1,Triclinic -1,{100},1.00000000,0.00000000
+0,Cube,1,Triclinic -1,{010},0.00000000,-1.00000000
+0,Cube,1,Triclinic -1,{010},-0.00000000,1.00000000
+1,Goss,432,Cubic_High m-3m,{001},0.00000000,-0.41421356
+1,Goss,432,Cubic_High m-3m,{001},0.00000000,-0.41421356
+1,Goss,432,Cubic_High m-3m,{001},-0.00000000,0.41421356
+1,Goss,432,Cubic_High m-3m,{001},-0.00000000,0.41421356
+1,Goss,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+1,Goss,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+1,Goss,432,Cubic_High m-3m,{011},-0.47140452,-0.33333333
+1,Goss,432,Cubic_High m-3m,{011},-0.47140452,-0.33333333
+1,Goss,432,Cubic_High m-3m,{011},-0.47140452,0.33333333
+1,Goss,432,Cubic_High m-3m,{011},-0.47140452,0.33333333
+1,Goss,432,Cubic_High m-3m,{011},-0.00000000,-1.00000000
+1,Goss,432,Cubic_High m-3m,{011},-0.00000000,-1.00000000
+1,Goss,432,Cubic_High m-3m,{011},-0.00000000,-0.00000000
+1,Goss,432,Cubic_High m-3m,{011},-0.00000000,-0.00000000
+1,Goss,432,Cubic_High m-3m,{011},0.47140452,-0.33333333
+1,Goss,432,Cubic_High m-3m,{011},0.47140452,-0.33333333
+1,Goss,432,Cubic_High m-3m,{011},0.47140452,0.33333333
+1,Goss,432,Cubic_High m-3m,{011},0.47140452,0.33333333
+1,Goss,432,Cubic_High m-3m,{111},-0.31783725,0.00000000
+1,Goss,432,Cubic_High m-3m,{111},-0.31783725,0.00000000
+1,Goss,432,Cubic_High m-3m,{111},0.31783725,0.00000000
+1,Goss,432,Cubic_High m-3m,{111},0.31783725,0.00000000
+1,Goss,432,Cubic_High m-3m,{111},0.57735027,-0.81649658
+1,Goss,432,Cubic_High m-3m,{111},0.57735027,-0.81649658
+1,Goss,432,Cubic_High m-3m,{111},0.57735027,0.81649658
+1,Goss,432,Cubic_High m-3m,{111},0.57735027,0.81649658
+1,Goss,23,Cubic_Low m-3,{001},0.00000000,-0.41421356
+1,Goss,23,Cubic_Low m-3,{001},0.00000000,-0.41421356
+1,Goss,23,Cubic_Low m-3,{001},-0.00000000,0.41421356
+1,Goss,23,Cubic_Low m-3,{001},-0.00000000,0.41421356
+1,Goss,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+1,Goss,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+1,Goss,23,Cubic_Low m-3,{011},-0.47140452,-0.33333333
+1,Goss,23,Cubic_Low m-3,{011},-0.47140452,-0.33333333
+1,Goss,23,Cubic_Low m-3,{011},-0.47140452,0.33333333
+1,Goss,23,Cubic_Low m-3,{011},-0.47140452,0.33333333
+1,Goss,23,Cubic_Low m-3,{011},0.00000000,-1.00000000
+1,Goss,23,Cubic_Low m-3,{011},0.00000000,-1.00000000
+1,Goss,23,Cubic_Low m-3,{011},-0.00000000,-0.00000000
+1,Goss,23,Cubic_Low m-3,{011},-0.00000000,-0.00000000
+1,Goss,23,Cubic_Low m-3,{011},0.47140452,-0.33333333
+1,Goss,23,Cubic_Low m-3,{011},0.47140452,-0.33333333
+1,Goss,23,Cubic_Low m-3,{011},0.47140452,0.33333333
+1,Goss,23,Cubic_Low m-3,{011},0.47140452,0.33333333
+1,Goss,23,Cubic_Low m-3,{111},-0.57735027,-0.81649658
+1,Goss,23,Cubic_Low m-3,{111},-0.57735027,-0.81649658
+1,Goss,23,Cubic_Low m-3,{111},-0.31783725,-0.00000000
+1,Goss,23,Cubic_Low m-3,{111},-0.31783725,-0.00000000
+1,Goss,23,Cubic_Low m-3,{111},0.31783725,0.00000000
+1,Goss,23,Cubic_Low m-3,{111},0.31783725,0.00000000
+1,Goss,23,Cubic_Low m-3,{111},0.57735027,-0.81649658
+1,Goss,23,Cubic_Low m-3,{111},0.57735027,-0.81649658
+1,Goss,622,Hexagonal_High 6/mmm,{0001},0.00000000,-0.41421356
+1,Goss,622,Hexagonal_High 6/mmm,{0001},0.00000000,-0.41421356
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},-0.63981621,0.26120387
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},-0.63981621,0.26120387
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},0.00000000,0.41421356
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},0.00000000,0.41421356
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},0.63981621,0.26120387
+1,Goss,622,Hexagonal_High 6/mmm,{10-10},0.63981621,0.26120387
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},-1.00000000,-0.00000000
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},-1.00000000,-0.00000000
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},-0.31010205,0.37979590
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},-0.31010205,0.37979590
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},0.31010205,0.37979590
+1,Goss,622,Hexagonal_High 6/mmm,{11-20},0.31010205,0.37979590
+1,Goss,6,Hexagonal_Low 6/m,{0001},0.00000000,-0.41421356
+1,Goss,6,Hexagonal_Low 6/m,{0001},0.00000000,-0.41421356
+1,Goss,6,Hexagonal_Low 6/m,{10-10},-0.63981621,0.26120387
+1,Goss,6,Hexagonal_Low 6/m,{10-10},-0.63981621,0.26120387
+1,Goss,6,Hexagonal_Low 6/m,{10-10},0.00000000,0.41421356
+1,Goss,6,Hexagonal_Low 6/m,{10-10},0.00000000,0.41421356
+1,Goss,6,Hexagonal_Low 6/m,{10-10},0.63981621,0.26120387
+1,Goss,6,Hexagonal_Low 6/m,{10-10},0.63981621,0.26120387
+1,Goss,6,Hexagonal_Low 6/m,{11-20},-1.00000000,-0.00000000
+1,Goss,6,Hexagonal_Low 6/m,{11-20},-1.00000000,-0.00000000
+1,Goss,6,Hexagonal_Low 6/m,{11-20},-0.31010205,0.37979590
+1,Goss,6,Hexagonal_Low 6/m,{11-20},-0.31010205,0.37979590
+1,Goss,6,Hexagonal_Low 6/m,{11-20},0.31010205,0.37979590
+1,Goss,6,Hexagonal_Low 6/m,{11-20},0.31010205,0.37979590
+1,Goss,32,Trigonal_High -3m,{0001},0.00000000,-0.41421356
+1,Goss,32,Trigonal_High -3m,{0001},0.00000000,-0.41421356
+1,Goss,32,Trigonal_High -3m,{0-110},-0.63981621,0.26120387
+1,Goss,32,Trigonal_High -3m,{0-110},-0.63981621,0.26120387
+1,Goss,32,Trigonal_High -3m,{0-110},-0.00000000,0.41421356
+1,Goss,32,Trigonal_High -3m,{0-110},-0.00000000,0.41421356
+1,Goss,32,Trigonal_High -3m,{0-110},0.63981621,0.26120387
+1,Goss,32,Trigonal_High -3m,{0-110},0.63981621,0.26120387
+1,Goss,32,Trigonal_High -3m,{1-100},-0.63981621,0.26120387
+1,Goss,32,Trigonal_High -3m,{1-100},-0.63981621,0.26120387
+1,Goss,32,Trigonal_High -3m,{1-100},0.00000000,0.41421356
+1,Goss,32,Trigonal_High -3m,{1-100},0.00000000,0.41421356
+1,Goss,32,Trigonal_High -3m,{1-100},0.63981621,0.26120387
+1,Goss,32,Trigonal_High -3m,{1-100},0.63981621,0.26120387
+1,Goss,3,Trigonal_Low -3,{0001},0.00000000,-0.41421356
+1,Goss,3,Trigonal_Low -3,{0001},0.00000000,-0.41421356
+1,Goss,3,Trigonal_Low -3,{-1-120},-1.00000000,-0.00000000
+1,Goss,3,Trigonal_Low -3,{-1-120},-1.00000000,-0.00000000
+1,Goss,3,Trigonal_Low -3,{-1-120},-0.31010205,0.37979590
+1,Goss,3,Trigonal_Low -3,{-1-120},-0.31010205,0.37979590
+1,Goss,3,Trigonal_Low -3,{-1-120},0.31010205,0.37979590
+1,Goss,3,Trigonal_Low -3,{-1-120},0.31010205,0.37979590
+1,Goss,3,Trigonal_Low -3,{2-1-10},-1.00000000,-0.00000000
+1,Goss,3,Trigonal_Low -3,{2-1-10},-1.00000000,-0.00000000
+1,Goss,3,Trigonal_Low -3,{2-1-10},-0.31010205,0.37979590
+1,Goss,3,Trigonal_Low -3,{2-1-10},-0.31010205,0.37979590
+1,Goss,3,Trigonal_Low -3,{2-1-10},0.31010205,0.37979590
+1,Goss,3,Trigonal_Low -3,{2-1-10},0.31010205,0.37979590
+1,Goss,422,Tetragonal_High 4/mmm,{001},0.00000000,-0.41421356
+1,Goss,422,Tetragonal_High 4/mmm,{001},0.00000000,-0.41421356
+1,Goss,422,Tetragonal_High 4/mmm,{100},-0.00000000,0.41421356
+1,Goss,422,Tetragonal_High 4/mmm,{100},-0.00000000,0.41421356
+1,Goss,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+1,Goss,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+1,Goss,422,Tetragonal_High 4/mmm,{110},-0.47140452,0.33333333
+1,Goss,422,Tetragonal_High 4/mmm,{110},-0.47140452,0.33333333
+1,Goss,422,Tetragonal_High 4/mmm,{110},0.47140452,0.33333333
+1,Goss,422,Tetragonal_High 4/mmm,{110},0.47140452,0.33333333
+1,Goss,4,Tetragonal_Low 4/m,{001},0.00000000,-0.41421356
+1,Goss,4,Tetragonal_Low 4/m,{001},0.00000000,-0.41421356
+1,Goss,4,Tetragonal_Low 4/m,{100},-0.00000000,0.41421356
+1,Goss,4,Tetragonal_Low 4/m,{100},-0.00000000,0.41421356
+1,Goss,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+1,Goss,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+1,Goss,4,Tetragonal_Low 4/m,{110},-0.47140452,0.33333333
+1,Goss,4,Tetragonal_Low 4/m,{110},-0.47140452,0.33333333
+1,Goss,4,Tetragonal_Low 4/m,{110},0.47140452,0.33333333
+1,Goss,4,Tetragonal_Low 4/m,{110},0.47140452,0.33333333
+1,Goss,222,OrthoRhombic mmm,{001},0.00000000,-0.41421356
+1,Goss,222,OrthoRhombic mmm,{001},0.00000000,-0.41421356
+1,Goss,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+1,Goss,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+1,Goss,222,OrthoRhombic mmm,{010},-0.00000000,0.41421356
+1,Goss,222,OrthoRhombic mmm,{010},-0.00000000,0.41421356
+1,Goss,2,Monoclinic 2/m,{001},0.00000000,-0.41421356
+1,Goss,2,Monoclinic 2/m,{001},0.00000000,-0.41421356
+1,Goss,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+1,Goss,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+1,Goss,2,Monoclinic 2/m,{010},-0.00000000,0.41421356
+1,Goss,2,Monoclinic 2/m,{010},-0.00000000,0.41421356
+1,Goss,1,Triclinic -1,{001},0.00000000,-0.41421356
+1,Goss,1,Triclinic -1,{001},0.00000000,-0.41421356
+1,Goss,1,Triclinic -1,{100},1.00000000,0.00000000
+1,Goss,1,Triclinic -1,{100},1.00000000,0.00000000
+1,Goss,1,Triclinic -1,{010},-0.00000000,0.41421356
+1,Goss,1,Triclinic -1,{010},-0.00000000,0.41421356
+2,Brass,432,Cubic_High m-3m,{001},-0.23758314,0.33930389
+2,Brass,432,Cubic_High m-3m,{001},-0.23758314,0.33930389
+2,Brass,432,Cubic_High m-3m,{001},0.23758314,-0.33930389
+2,Brass,432,Cubic_High m-3m,{001},0.23758314,-0.33930389
+2,Brass,432,Cubic_High m-3m,{001},0.81915204,0.57357644
+2,Brass,432,Cubic_High m-3m,{001},0.81915204,0.57357644
+2,Brass,432,Cubic_High m-3m,{011},-0.57734412,0.00266416
+2,Brass,432,Cubic_High m-3m,{011},-0.57734412,0.00266416
+2,Brass,432,Cubic_High m-3m,{011},-0.57357644,0.81915204
+2,Brass,432,Cubic_High m-3m,{011},-0.19495983,-0.54343721
+2,Brass,432,Cubic_High m-3m,{011},-0.19495983,-0.54343721
+2,Brass,432,Cubic_High m-3m,{011},-0.00000000,-0.00000000
+2,Brass,432,Cubic_High m-3m,{011},-0.00000000,-0.00000000
+2,Brass,432,Cubic_High m-3m,{011},0.19495983,0.54343721
+2,Brass,432,Cubic_High m-3m,{011},0.19495983,0.54343721
+2,Brass,432,Cubic_High m-3m,{011},0.57357644,-0.81915204
+2,Brass,432,Cubic_High m-3m,{011},0.57734412,-0.00266416
+2,Brass,432,Cubic_High m-3m,{011},0.57734412,-0.00266416
+2,Brass,432,Cubic_High m-3m,{111},-0.26035703,-0.18230395
+2,Brass,432,Cubic_High m-3m,{111},-0.26035703,-0.18230395
+2,Brass,432,Cubic_High m-3m,{111},0.00461445,0.99998935
+2,Brass,432,Cubic_High m-3m,{111},0.00461445,0.99998935
+2,Brass,432,Cubic_High m-3m,{111},0.26035703,0.18230395
+2,Brass,432,Cubic_High m-3m,{111},0.26035703,0.18230395
+2,Brass,432,Cubic_High m-3m,{111},0.94126085,-0.33768033
+2,Brass,432,Cubic_High m-3m,{111},0.94126085,-0.33768033
+2,Brass,23,Cubic_Low m-3,{001},-0.23758314,0.33930389
+2,Brass,23,Cubic_Low m-3,{001},-0.23758314,0.33930389
+2,Brass,23,Cubic_Low m-3,{001},0.23758314,-0.33930389
+2,Brass,23,Cubic_Low m-3,{001},0.23758314,-0.33930389
+2,Brass,23,Cubic_Low m-3,{001},0.81915204,0.57357644
+2,Brass,23,Cubic_Low m-3,{001},0.81915204,0.57357644
+2,Brass,23,Cubic_Low m-3,{011},-0.57734412,0.00266416
+2,Brass,23,Cubic_Low m-3,{011},-0.57734412,0.00266416
+2,Brass,23,Cubic_Low m-3,{011},-0.57357644,0.81915204
+2,Brass,23,Cubic_Low m-3,{011},-0.57357644,0.81915204
+2,Brass,23,Cubic_Low m-3,{011},-0.19495983,-0.54343721
+2,Brass,23,Cubic_Low m-3,{011},-0.19495983,-0.54343721
+2,Brass,23,Cubic_Low m-3,{011},-0.00000000,-0.00000000
+2,Brass,23,Cubic_Low m-3,{011},-0.00000000,-0.00000000
+2,Brass,23,Cubic_Low m-3,{011},0.19495983,0.54343721
+2,Brass,23,Cubic_Low m-3,{011},0.19495983,0.54343721
+2,Brass,23,Cubic_Low m-3,{011},0.57734412,-0.00266416
+2,Brass,23,Cubic_Low m-3,{011},0.57734412,-0.00266416
+2,Brass,23,Cubic_Low m-3,{111},-0.94126085,0.33768033
+2,Brass,23,Cubic_Low m-3,{111},-0.94126085,0.33768033
+2,Brass,23,Cubic_Low m-3,{111},-0.26035703,-0.18230395
+2,Brass,23,Cubic_Low m-3,{111},-0.26035703,-0.18230395
+2,Brass,23,Cubic_Low m-3,{111},0.00461445,0.99998935
+2,Brass,23,Cubic_Low m-3,{111},0.00461445,0.99998935
+2,Brass,23,Cubic_Low m-3,{111},0.26035703,0.18230395
+2,Brass,23,Cubic_Low m-3,{111},0.26035703,0.18230395
+2,Brass,622,Hexagonal_High 6/mmm,{0001},0.23758314,-0.33930389
+2,Brass,622,Hexagonal_High 6/mmm,{0001},0.23758314,-0.33930389
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},-0.67392715,-0.15301781
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},-0.67392715,-0.15301781
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},-0.23758314,0.33930389
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},-0.23758314,0.33930389
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},0.37428637,0.58094919
+2,Brass,622,Hexagonal_High 6/mmm,{10-10},0.37428637,0.58094919
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},-0.81915204,-0.57357644
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},-0.81915204,-0.57357644
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},-0.47186271,0.13324336
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},-0.47186271,0.13324336
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},0.03617875,0.48897782
+2,Brass,622,Hexagonal_High 6/mmm,{11-20},0.03617875,0.48897782
+2,Brass,6,Hexagonal_Low 6/m,{0001},0.23758314,-0.33930389
+2,Brass,6,Hexagonal_Low 6/m,{0001},0.23758314,-0.33930389
+2,Brass,6,Hexagonal_Low 6/m,{10-10},-0.67392715,-0.15301781
+2,Brass,6,Hexagonal_Low 6/m,{10-10},-0.67392715,-0.15301781
+2,Brass,6,Hexagonal_Low 6/m,{10-10},-0.23758314,0.33930389
+2,Brass,6,Hexagonal_Low 6/m,{10-10},-0.23758314,0.33930389
+2,Brass,6,Hexagonal_Low 6/m,{10-10},0.37428637,0.58094919
+2,Brass,6,Hexagonal_Low 6/m,{10-10},0.37428637,0.58094919
+2,Brass,6,Hexagonal_Low 6/m,{11-20},-0.81915204,-0.57357644
+2,Brass,6,Hexagonal_Low 6/m,{11-20},-0.81915204,-0.57357644
+2,Brass,6,Hexagonal_Low 6/m,{11-20},-0.47186271,0.13324336
+2,Brass,6,Hexagonal_Low 6/m,{11-20},-0.47186271,0.13324336
+2,Brass,6,Hexagonal_Low 6/m,{11-20},0.03617875,0.48897782
+2,Brass,6,Hexagonal_Low 6/m,{11-20},0.03617875,0.48897782
+2,Brass,32,Trigonal_High -3m,{0001},0.23758314,-0.33930389
+2,Brass,32,Trigonal_High -3m,{0001},0.23758314,-0.33930389
+2,Brass,32,Trigonal_High -3m,{0-110},-0.67392715,-0.15301781
+2,Brass,32,Trigonal_High -3m,{0-110},-0.67392715,-0.15301781
+2,Brass,32,Trigonal_High -3m,{0-110},-0.23758314,0.33930389
+2,Brass,32,Trigonal_High -3m,{0-110},-0.23758314,0.33930389
+2,Brass,32,Trigonal_High -3m,{0-110},0.37428637,0.58094919
+2,Brass,32,Trigonal_High -3m,{0-110},0.37428637,0.58094919
+2,Brass,32,Trigonal_High -3m,{1-100},-0.67392715,-0.15301781
+2,Brass,32,Trigonal_High -3m,{1-100},-0.67392715,-0.15301781
+2,Brass,32,Trigonal_High -3m,{1-100},-0.23758314,0.33930389
+2,Brass,32,Trigonal_High -3m,{1-100},-0.23758314,0.33930389
+2,Brass,32,Trigonal_High -3m,{1-100},0.37428637,0.58094919
+2,Brass,32,Trigonal_High -3m,{1-100},0.37428637,0.58094919
+2,Brass,3,Trigonal_Low -3,{0001},0.23758314,-0.33930389
+2,Brass,3,Trigonal_Low -3,{0001},0.23758314,-0.33930389
+2,Brass,3,Trigonal_Low -3,{-1-120},-0.81915204,-0.57357644
+2,Brass,3,Trigonal_Low -3,{-1-120},-0.81915204,-0.57357644
+2,Brass,3,Trigonal_Low -3,{-1-120},-0.47186271,0.13324336
+2,Brass,3,Trigonal_Low -3,{-1-120},-0.47186271,0.13324336
+2,Brass,3,Trigonal_Low -3,{-1-120},0.03617875,0.48897782
+2,Brass,3,Trigonal_Low -3,{-1-120},0.03617875,0.48897782
+2,Brass,3,Trigonal_Low -3,{2-1-10},-0.81915204,-0.57357644
+2,Brass,3,Trigonal_Low -3,{2-1-10},-0.81915204,-0.57357644
+2,Brass,3,Trigonal_Low -3,{2-1-10},-0.47186271,0.13324336
+2,Brass,3,Trigonal_Low -3,{2-1-10},-0.47186271,0.13324336
+2,Brass,3,Trigonal_Low -3,{2-1-10},0.03617875,0.48897782
+2,Brass,3,Trigonal_Low -3,{2-1-10},0.03617875,0.48897782
+2,Brass,422,Tetragonal_High 4/mmm,{001},0.23758314,-0.33930389
+2,Brass,422,Tetragonal_High 4/mmm,{001},0.23758314,-0.33930389
+2,Brass,422,Tetragonal_High 4/mmm,{100},-0.23758314,0.33930389
+2,Brass,422,Tetragonal_High 4/mmm,{100},-0.23758314,0.33930389
+2,Brass,422,Tetragonal_High 4/mmm,{100},0.81915204,0.57357644
+2,Brass,422,Tetragonal_High 4/mmm,{100},0.81915204,0.57357644
+2,Brass,422,Tetragonal_High 4/mmm,{110},-0.57734412,0.00266416
+2,Brass,422,Tetragonal_High 4/mmm,{110},-0.57734412,0.00266416
+2,Brass,422,Tetragonal_High 4/mmm,{110},0.19495983,0.54343721
+2,Brass,422,Tetragonal_High 4/mmm,{110},0.19495983,0.54343721
+2,Brass,4,Tetragonal_Low 4/m,{001},0.23758314,-0.33930389
+2,Brass,4,Tetragonal_Low 4/m,{001},0.23758314,-0.33930389
+2,Brass,4,Tetragonal_Low 4/m,{100},-0.23758314,0.33930389
+2,Brass,4,Tetragonal_Low 4/m,{100},-0.23758314,0.33930389
+2,Brass,4,Tetragonal_Low 4/m,{100},0.81915204,0.57357644
+2,Brass,4,Tetragonal_Low 4/m,{100},0.81915204,0.57357644
+2,Brass,4,Tetragonal_Low 4/m,{110},-0.57734412,0.00266416
+2,Brass,4,Tetragonal_Low 4/m,{110},-0.57734412,0.00266416
+2,Brass,4,Tetragonal_Low 4/m,{110},0.19495983,0.54343721
+2,Brass,4,Tetragonal_Low 4/m,{110},0.19495983,0.54343721
+2,Brass,222,OrthoRhombic mmm,{001},0.23758314,-0.33930389
+2,Brass,222,OrthoRhombic mmm,{001},0.23758314,-0.33930389
+2,Brass,222,OrthoRhombic mmm,{100},0.81915204,0.57357644
+2,Brass,222,OrthoRhombic mmm,{100},0.81915204,0.57357644
+2,Brass,222,OrthoRhombic mmm,{010},-0.23758314,0.33930389
+2,Brass,222,OrthoRhombic mmm,{010},-0.23758314,0.33930389
+2,Brass,2,Monoclinic 2/m,{001},0.23758314,-0.33930389
+2,Brass,2,Monoclinic 2/m,{001},0.23758314,-0.33930389
+2,Brass,2,Monoclinic 2/m,{100},0.81915204,0.57357644
+2,Brass,2,Monoclinic 2/m,{100},0.81915204,0.57357644
+2,Brass,2,Monoclinic 2/m,{010},-0.23758314,0.33930389
+2,Brass,2,Monoclinic 2/m,{010},-0.23758314,0.33930389
+2,Brass,1,Triclinic -1,{001},0.23758314,-0.33930389
+2,Brass,1,Triclinic -1,{001},0.23758314,-0.33930389
+2,Brass,1,Triclinic -1,{100},0.81915204,0.57357644
+2,Brass,1,Triclinic -1,{100},0.81915204,0.57357644
+2,Brass,1,Triclinic -1,{010},-0.23758314,0.33930389
+2,Brass,1,Triclinic -1,{010},-0.23758314,0.33930389
+3,Copper,432,Cubic_High m-3m,{001},-0.41209184,-0.50307125
+3,Copper,432,Cubic_High m-3m,{001},-0.41209184,-0.50307125
+3,Copper,432,Cubic_High m-3m,{001},-0.41209184,0.50307125
+3,Copper,432,Cubic_High m-3m,{001},-0.41209184,0.50307125
+3,Copper,432,Cubic_High m-3m,{001},0.31529879,0.00000000
+3,Copper,432,Cubic_High m-3m,{001},0.31529879,0.00000000
+3,Copper,432,Cubic_High m-3m,{011},-0.52056705,0.00000000
+3,Copper,432,Cubic_High m-3m,{011},-0.52056705,0.00000000
+3,Copper,432,Cubic_High m-3m,{011},-0.00214159,-0.26795052
+3,Copper,432,Cubic_High m-3m,{011},-0.00214159,-0.26795052
+3,Copper,432,Cubic_High m-3m,{011},-0.00214159,0.26795052
+3,Copper,432,Cubic_High m-3m,{011},-0.00214159,0.26795052
+3,Copper,432,Cubic_High m-3m,{011},0.00000000,1.00000000
+3,Copper,432,Cubic_High m-3m,{011},0.00000000,1.00000000
+3,Copper,432,Cubic_High m-3m,{011},0.63071088,-0.38686523
+3,Copper,432,Cubic_High m-3m,{011},0.63071088,-0.38686523
+3,Copper,432,Cubic_High m-3m,{011},0.63071088,0.38686523
+3,Copper,432,Cubic_High m-3m,{011},0.63071088,0.38686523
+3,Copper,432,Cubic_High m-3m,{111},-0.17394897,-0.00000000
+3,Copper,432,Cubic_High m-3m,{111},-0.17394897,-0.00000000
+3,Copper,432,Cubic_High m-3m,{111},0.22482588,-0.55433207
+3,Copper,432,Cubic_High m-3m,{111},0.22482588,-0.55433207
+3,Copper,432,Cubic_High m-3m,{111},0.22482588,0.55433207
+3,Copper,432,Cubic_High m-3m,{111},0.22482588,0.55433207
+3,Copper,432,Cubic_High m-3m,{111},0.99539614,-0.00000000
+3,Copper,432,Cubic_High m-3m,{111},0.99539614,0.00000000
+3,Copper,23,Cubic_Low m-3,{001},-0.41209184,-0.50307125
+3,Copper,23,Cubic_Low m-3,{001},-0.41209184,-0.50307125
+3,Copper,23,Cubic_Low m-3,{001},-0.41209184,0.50307125
+3,Copper,23,Cubic_Low m-3,{001},-0.41209184,0.50307125
+3,Copper,23,Cubic_Low m-3,{001},0.31529879,0.00000000
+3,Copper,23,Cubic_Low m-3,{001},0.31529879,0.00000000
+3,Copper,23,Cubic_Low m-3,{011},-0.52056705,0.00000000
+3,Copper,23,Cubic_Low m-3,{011},-0.52056705,0.00000000
+3,Copper,23,Cubic_Low m-3,{011},-0.00214159,-0.26795052
+3,Copper,23,Cubic_Low m-3,{011},-0.00214159,-0.26795052
+3,Copper,23,Cubic_Low m-3,{011},-0.00214159,0.26795052
+3,Copper,23,Cubic_Low m-3,{011},-0.00214159,0.26795052
+3,Copper,23,Cubic_Low m-3,{011},0.00000000,1.00000000
+3,Copper,23,Cubic_Low m-3,{011},0.00000000,1.00000000
+3,Copper,23,Cubic_Low m-3,{011},0.63071088,-0.38686523
+3,Copper,23,Cubic_Low m-3,{011},0.63071088,-0.38686523
+3,Copper,23,Cubic_Low m-3,{011},0.63071088,0.38686523
+3,Copper,23,Cubic_Low m-3,{011},0.63071088,0.38686523
+3,Copper,23,Cubic_Low m-3,{111},-0.17394897,-0.00000000
+3,Copper,23,Cubic_Low m-3,{111},-0.17394897,-0.00000000
+3,Copper,23,Cubic_Low m-3,{111},0.22482588,-0.55433207
+3,Copper,23,Cubic_Low m-3,{111},0.22482588,-0.55433207
+3,Copper,23,Cubic_Low m-3,{111},0.22482588,0.55433207
+3,Copper,23,Cubic_Low m-3,{111},0.22482588,0.55433207
+3,Copper,23,Cubic_Low m-3,{111},0.99539614,-0.00000000
+3,Copper,23,Cubic_Low m-3,{111},0.99539614,-0.00000000
+3,Copper,622,Hexagonal_High 6/mmm,{0001},0.31529879,0.00000000
+3,Copper,622,Hexagonal_High 6/mmm,{0001},0.31529879,0.00000000
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.50915294,0.16654676
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.50915294,0.16654676
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.41209184,-0.50307125
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.41209184,-0.50307125
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.18460681,0.84106728
+3,Copper,622,Hexagonal_High 6/mmm,{10-10},-0.18460681,0.84106728
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.50915294,-0.16654676
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.50915294,-0.16654676
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.41209184,0.50307125
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.41209184,0.50307125
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.18460681,-0.84106728
+3,Copper,622,Hexagonal_High 6/mmm,{11-20},-0.18460681,-0.84106728
+3,Copper,6,Hexagonal_Low 6/m,{0001},0.31529879,0.00000000
+3,Copper,6,Hexagonal_Low 6/m,{0001},0.31529879,0.00000000
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.50915294,0.16654676
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.50915294,0.16654676
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.41209184,-0.50307125
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.41209184,-0.50307125
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.18460681,0.84106728
+3,Copper,6,Hexagonal_Low 6/m,{10-10},-0.18460681,0.84106728
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.50915294,-0.16654676
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.50915294,-0.16654676
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.41209184,0.50307125
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.41209184,0.50307125
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.18460681,-0.84106728
+3,Copper,6,Hexagonal_Low 6/m,{11-20},-0.18460681,-0.84106728
+3,Copper,32,Trigonal_High -3m,{0001},0.31529879,0.00000000
+3,Copper,32,Trigonal_High -3m,{0001},0.31529879,0.00000000
+3,Copper,32,Trigonal_High -3m,{0-110},-0.50915294,0.16654676
+3,Copper,32,Trigonal_High -3m,{0-110},-0.50915294,0.16654676
+3,Copper,32,Trigonal_High -3m,{0-110},-0.41209184,-0.50307125
+3,Copper,32,Trigonal_High -3m,{0-110},-0.41209184,-0.50307125
+3,Copper,32,Trigonal_High -3m,{0-110},-0.18460681,0.84106728
+3,Copper,32,Trigonal_High -3m,{0-110},-0.18460681,0.84106728
+3,Copper,32,Trigonal_High -3m,{1-100},-0.50915294,0.16654676
+3,Copper,32,Trigonal_High -3m,{1-100},-0.50915294,0.16654676
+3,Copper,32,Trigonal_High -3m,{1-100},-0.41209184,-0.50307125
+3,Copper,32,Trigonal_High -3m,{1-100},-0.41209184,-0.50307125
+3,Copper,32,Trigonal_High -3m,{1-100},-0.18460681,0.84106728
+3,Copper,32,Trigonal_High -3m,{1-100},-0.18460681,0.84106728
+3,Copper,3,Trigonal_Low -3,{0001},0.31529879,0.00000000
+3,Copper,3,Trigonal_Low -3,{0001},0.31529879,0.00000000
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.50915294,-0.16654676
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.50915294,-0.16654676
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.41209184,0.50307125
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.41209184,0.50307125
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.18460681,-0.84106728
+3,Copper,3,Trigonal_Low -3,{-1-120},-0.18460681,-0.84106728
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.50915294,-0.16654676
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.50915294,-0.16654676
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.41209184,0.50307125
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.41209184,0.50307125
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.18460681,-0.84106728
+3,Copper,3,Trigonal_Low -3,{2-1-10},-0.18460681,-0.84106728
+3,Copper,422,Tetragonal_High 4/mmm,{001},0.31529879,0.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{001},0.31529879,0.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{100},-0.41209184,-0.50307125
+3,Copper,422,Tetragonal_High 4/mmm,{100},-0.41209184,-0.50307125
+3,Copper,422,Tetragonal_High 4/mmm,{100},-0.41209184,0.50307125
+3,Copper,422,Tetragonal_High 4/mmm,{100},-0.41209184,0.50307125
+3,Copper,422,Tetragonal_High 4/mmm,{110},-0.52056705,-0.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{110},-0.52056705,-0.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{110},-0.00000000,1.00000000
+3,Copper,422,Tetragonal_High 4/mmm,{110},-0.00000000,1.00000000
+3,Copper,4,Tetragonal_Low 4/m,{001},0.31529879,0.00000000
+3,Copper,4,Tetragonal_Low 4/m,{001},0.31529879,0.00000000
+3,Copper,4,Tetragonal_Low 4/m,{100},-0.41209184,-0.50307125
+3,Copper,4,Tetragonal_Low 4/m,{100},-0.41209184,-0.50307125
+3,Copper,4,Tetragonal_Low 4/m,{100},-0.41209184,0.50307125
+3,Copper,4,Tetragonal_Low 4/m,{100},-0.41209184,0.50307125
+3,Copper,4,Tetragonal_Low 4/m,{110},-0.52056705,-0.00000000
+3,Copper,4,Tetragonal_Low 4/m,{110},-0.52056705,-0.00000000
+3,Copper,4,Tetragonal_Low 4/m,{110},0.00000000,-1.00000000
+3,Copper,4,Tetragonal_Low 4/m,{110},-0.00000000,-1.00000000
+3,Copper,222,OrthoRhombic mmm,{001},0.31529879,0.00000000
+3,Copper,222,OrthoRhombic mmm,{001},0.31529879,0.00000000
+3,Copper,222,OrthoRhombic mmm,{100},-0.41209184,0.50307125
+3,Copper,222,OrthoRhombic mmm,{100},-0.41209184,0.50307125
+3,Copper,222,OrthoRhombic mmm,{010},-0.41209184,-0.50307125
+3,Copper,222,OrthoRhombic mmm,{010},-0.41209184,-0.50307125
+3,Copper,2,Monoclinic 2/m,{001},0.31529879,0.00000000
+3,Copper,2,Monoclinic 2/m,{001},0.31529879,0.00000000
+3,Copper,2,Monoclinic 2/m,{100},-0.41209184,0.50307125
+3,Copper,2,Monoclinic 2/m,{100},-0.41209184,0.50307125
+3,Copper,2,Monoclinic 2/m,{010},-0.41209184,-0.50307125
+3,Copper,2,Monoclinic 2/m,{010},-0.41209184,-0.50307125
+3,Copper,1,Triclinic -1,{001},0.31529879,0.00000000
+3,Copper,1,Triclinic -1,{001},0.31529879,0.00000000
+3,Copper,1,Triclinic -1,{100},-0.41209184,0.50307125
+3,Copper,1,Triclinic -1,{100},-0.41209184,0.50307125
+3,Copper,1,Triclinic -1,{010},-0.41209184,-0.50307125
+3,Copper,1,Triclinic -1,{010},-0.41209184,-0.50307125
+4,S,432,Cubic_High m-3m,{001},-0.60452159,-0.45318449
+4,S,432,Cubic_High m-3m,{001},-0.60452159,-0.45318449
+4,S,432,Cubic_High m-3m,{001},-0.24484029,0.49188327
+4,S,432,Cubic_High m-3m,{001},-0.24484029,0.49188327
+4,S,432,Cubic_High m-3m,{001},0.28680417,-0.17232933
+4,S,432,Cubic_High m-3m,{001},0.28680417,-0.17232933
+4,S,432,Cubic_High m-3m,{011},-0.51528578,0.08033568
+4,S,432,Cubic_High m-3m,{011},-0.51528578,0.08033568
+4,S,432,Cubic_High m-3m,{011},-0.10210173,-0.35677249
+4,S,432,Cubic_High m-3m,{011},-0.10210173,-0.35677249
+4,S,432,Cubic_High m-3m,{011},0.05082713,0.16212166
+4,S,432,Cubic_High m-3m,{011},0.05082713,0.16212166
+4,S,432,Cubic_High m-3m,{011},0.23465019,0.79455715
+4,S,432,Cubic_High m-3m,{011},0.23465019,0.79455715
+4,S,432,Cubic_High m-3m,{011},0.53201127,-0.63556087
+4,S,432,Cubic_High m-3m,{011},0.53201127,-0.63556087
+4,S,432,Cubic_High m-3m,{011},0.66277774,0.13767834
+4,S,432,Cubic_High m-3m,{011},0.66277774,0.13767834
+4,S,432,Cubic_High m-3m,{111},-0.95342022,0.28034255
+4,S,432,Cubic_High m-3m,{111},-0.95342022,0.28034255
+4,S,432,Cubic_High m-3m,{111},-0.18860386,-0.03931558
+4,S,432,Cubic_High m-3m,{111},-0.18860386,-0.03931558
+4,S,432,Cubic_High m-3m,{111},0.05393038,-0.72435237
+4,S,432,Cubic_High m-3m,{111},0.05393038,-0.72435237
+4,S,432,Cubic_High m-3m,{111},0.32552487,0.36607030
+4,S,432,Cubic_High m-3m,{111},0.32552487,0.36607030
+4,S,23,Cubic_Low m-3,{001},-0.60452159,-0.45318449
+4,S,23,Cubic_Low m-3,{001},-0.60452159,-0.45318449
+4,S,23,Cubic_Low m-3,{001},-0.24484029,0.49188327
+4,S,23,Cubic_Low m-3,{001},-0.24484029,0.49188327
+4,S,23,Cubic_Low m-3,{001},0.28680417,-0.17232933
+4,S,23,Cubic_Low m-3,{001},0.28680417,-0.17232933
+4,S,23,Cubic_Low m-3,{011},-0.51528578,0.08033568
+4,S,23,Cubic_Low m-3,{011},-0.51528578,0.08033568
+4,S,23,Cubic_Low m-3,{011},-0.10210173,-0.35677249
+4,S,23,Cubic_Low m-3,{011},-0.10210173,-0.35677249
+4,S,23,Cubic_Low m-3,{011},0.05082713,0.16212166
+4,S,23,Cubic_Low m-3,{011},0.05082713,0.16212166
+4,S,23,Cubic_Low m-3,{011},0.23465019,0.79455715
+4,S,23,Cubic_Low m-3,{011},0.23465019,0.79455715
+4,S,23,Cubic_Low m-3,{011},0.53201127,-0.63556087
+4,S,23,Cubic_Low m-3,{011},0.53201127,-0.63556087
+4,S,23,Cubic_Low m-3,{011},0.66277774,0.13767834
+4,S,23,Cubic_Low m-3,{011},0.66277774,0.13767834
+4,S,23,Cubic_Low m-3,{111},-0.95342022,0.28034255
+4,S,23,Cubic_Low m-3,{111},-0.95342022,0.28034255
+4,S,23,Cubic_Low m-3,{111},-0.18860386,-0.03931558
+4,S,23,Cubic_Low m-3,{111},-0.18860386,-0.03931558
+4,S,23,Cubic_Low m-3,{111},0.05393038,-0.72435237
+4,S,23,Cubic_Low m-3,{111},0.05393038,-0.72435237
+4,S,23,Cubic_Low m-3,{111},0.32552487,0.36607030
+4,S,23,Cubic_Low m-3,{111},0.32552487,0.36607030
+4,S,622,Hexagonal_High 6/mmm,{0001},0.28680417,-0.17232933
+4,S,622,Hexagonal_High 6/mmm,{0001},0.28680417,-0.17232933
+4,S,622,Hexagonal_High 6/mmm,{10-10},-0.60452159,-0.45318449
+4,S,622,Hexagonal_High 6/mmm,{10-10},-0.60452159,-0.45318449
+4,S,622,Hexagonal_High 6/mmm,{10-10},-0.44383848,0.22854812
+4,S,622,Hexagonal_High 6/mmm,{10-10},-0.44383848,0.22854812
+4,S,622,Hexagonal_High 6/mmm,{10-10},0.04451583,0.71014161
+4,S,622,Hexagonal_High 6/mmm,{10-10},0.04451583,0.71014161
+4,S,622,Hexagonal_High 6/mmm,{11-20},-0.56796689,-0.08099711
+4,S,622,Hexagonal_High 6/mmm,{11-20},-0.56796689,-0.08099711
+4,S,622,Hexagonal_High 6/mmm,{11-20},-0.24484029,0.49188327
+4,S,622,Hexagonal_High 6/mmm,{11-20},-0.24484029,0.49188327
+4,S,622,Hexagonal_High 6/mmm,{11-20},0.46389385,0.85072490
+4,S,622,Hexagonal_High 6/mmm,{11-20},0.46389385,0.85072490
+4,S,6,Hexagonal_Low 6/m,{0001},0.28680417,-0.17232933
+4,S,6,Hexagonal_Low 6/m,{0001},0.28680417,-0.17232933
+4,S,6,Hexagonal_Low 6/m,{10-10},-0.60452159,-0.45318449
+4,S,6,Hexagonal_Low 6/m,{10-10},-0.60452159,-0.45318449
+4,S,6,Hexagonal_Low 6/m,{10-10},-0.44383848,0.22854812
+4,S,6,Hexagonal_Low 6/m,{10-10},-0.44383848,0.22854812
+4,S,6,Hexagonal_Low 6/m,{10-10},0.04451583,0.71014161
+4,S,6,Hexagonal_Low 6/m,{10-10},0.04451583,0.71014161
+4,S,6,Hexagonal_Low 6/m,{11-20},-0.56796689,-0.08099711
+4,S,6,Hexagonal_Low 6/m,{11-20},-0.56796689,-0.08099711
+4,S,6,Hexagonal_Low 6/m,{11-20},-0.24484029,0.49188327
+4,S,6,Hexagonal_Low 6/m,{11-20},-0.24484029,0.49188327
+4,S,6,Hexagonal_Low 6/m,{11-20},0.46389385,0.85072490
+4,S,6,Hexagonal_Low 6/m,{11-20},0.46389385,0.85072490
+4,S,32,Trigonal_High -3m,{0001},0.28680417,-0.17232933
+4,S,32,Trigonal_High -3m,{0001},0.28680417,-0.17232933
+4,S,32,Trigonal_High -3m,{0-110},-0.60452159,-0.45318449
+4,S,32,Trigonal_High -3m,{0-110},-0.60452159,-0.45318449
+4,S,32,Trigonal_High -3m,{0-110},-0.44383848,0.22854812
+4,S,32,Trigonal_High -3m,{0-110},-0.44383848,0.22854812
+4,S,32,Trigonal_High -3m,{0-110},0.04451583,0.71014161
+4,S,32,Trigonal_High -3m,{0-110},0.04451583,0.71014161
+4,S,32,Trigonal_High -3m,{1-100},-0.60452159,-0.45318449
+4,S,32,Trigonal_High -3m,{1-100},-0.60452159,-0.45318449
+4,S,32,Trigonal_High -3m,{1-100},-0.44383848,0.22854812
+4,S,32,Trigonal_High -3m,{1-100},-0.44383848,0.22854812
+4,S,32,Trigonal_High -3m,{1-100},0.04451583,0.71014161
+4,S,32,Trigonal_High -3m,{1-100},0.04451583,0.71014161
+4,S,3,Trigonal_Low -3,{0001},0.28680417,-0.17232933
+4,S,3,Trigonal_Low -3,{0001},0.28680417,-0.17232933
+4,S,3,Trigonal_Low -3,{-1-120},-0.56796689,-0.08099711
+4,S,3,Trigonal_Low -3,{-1-120},-0.56796689,-0.08099711
+4,S,3,Trigonal_Low -3,{-1-120},-0.24484029,0.49188327
+4,S,3,Trigonal_Low -3,{-1-120},-0.24484029,0.49188327
+4,S,3,Trigonal_Low -3,{-1-120},0.46389385,0.85072490
+4,S,3,Trigonal_Low -3,{-1-120},0.46389385,0.85072490
+4,S,3,Trigonal_Low -3,{2-1-10},-0.56796689,-0.08099711
+4,S,3,Trigonal_Low -3,{2-1-10},-0.56796689,-0.08099711
+4,S,3,Trigonal_Low -3,{2-1-10},-0.24484029,0.49188327
+4,S,3,Trigonal_Low -3,{2-1-10},-0.24484029,0.49188327
+4,S,3,Trigonal_Low -3,{2-1-10},0.46389385,0.85072490
+4,S,3,Trigonal_Low -3,{2-1-10},0.46389385,0.85072490
+4,S,422,Tetragonal_High 4/mmm,{001},0.28680417,-0.17232933
+4,S,422,Tetragonal_High 4/mmm,{001},0.28680417,-0.17232933
+4,S,422,Tetragonal_High 4/mmm,{100},-0.60452159,-0.45318449
+4,S,422,Tetragonal_High 4/mmm,{100},-0.60452159,-0.45318449
+4,S,422,Tetragonal_High 4/mmm,{100},-0.24484029,0.49188327
+4,S,422,Tetragonal_High 4/mmm,{100},-0.24484029,0.49188327
+4,S,422,Tetragonal_High 4/mmm,{110},-0.51528578,0.08033568
+4,S,422,Tetragonal_High 4/mmm,{110},-0.51528578,0.08033568
+4,S,422,Tetragonal_High 4/mmm,{110},0.23465019,0.79455715
+4,S,422,Tetragonal_High 4/mmm,{110},0.23465019,0.79455715
+4,S,4,Tetragonal_Low 4/m,{001},0.28680417,-0.17232933
+4,S,4,Tetragonal_Low 4/m,{001},0.28680417,-0.17232933
+4,S,4,Tetragonal_Low 4/m,{100},-0.60452159,-0.45318449
+4,S,4,Tetragonal_Low 4/m,{100},-0.60452159,-0.45318449
+4,S,4,Tetragonal_Low 4/m,{100},-0.24484029,0.49188327
+4,S,4,Tetragonal_Low 4/m,{100},-0.24484029,0.49188327
+4,S,4,Tetragonal_Low 4/m,{110},-0.51528578,0.08033568
+4,S,4,Tetragonal_Low 4/m,{110},-0.51528578,0.08033568
+4,S,4,Tetragonal_Low 4/m,{110},0.23465019,0.79455715
+4,S,4,Tetragonal_Low 4/m,{110},0.23465019,0.79455715
+4,S,222,OrthoRhombic mmm,{001},0.28680417,-0.17232933
+4,S,222,OrthoRhombic mmm,{001},0.28680417,-0.17232933
+4,S,222,OrthoRhombic mmm,{100},-0.24484029,0.49188327
+4,S,222,OrthoRhombic mmm,{100},-0.24484029,0.49188327
+4,S,222,OrthoRhombic mmm,{010},-0.60452159,-0.45318449
+4,S,222,OrthoRhombic mmm,{010},-0.60452159,-0.45318449
+4,S,2,Monoclinic 2/m,{001},0.28680417,-0.17232933
+4,S,2,Monoclinic 2/m,{001},0.28680417,-0.17232933
+4,S,2,Monoclinic 2/m,{100},-0.24484029,0.49188327
+4,S,2,Monoclinic 2/m,{100},-0.24484029,0.49188327
+4,S,2,Monoclinic 2/m,{010},-0.60452159,-0.45318449
+4,S,2,Monoclinic 2/m,{010},-0.60452159,-0.45318449
+4,S,1,Triclinic -1,{001},0.28680417,-0.17232933
+4,S,1,Triclinic -1,{001},0.28680417,-0.17232933
+4,S,1,Triclinic -1,{100},-0.24484029,0.49188327
+4,S,1,Triclinic -1,{100},-0.24484029,0.49188327
+4,S,1,Triclinic -1,{010},-0.60452159,-0.45318449
+4,S,1,Triclinic -1,{010},-0.60452159,-0.45318449
+5,S1,432,Cubic_High m-3m,{001},-0.67666040,-0.43958718
+5,S1,432,Cubic_High m-3m,{001},-0.67666040,-0.43958718
+5,S1,432,Cubic_High m-3m,{001},-0.27563271,0.54803588
+5,S1,432,Cubic_High m-3m,{001},-0.27563271,0.54803588
+5,S1,432,Cubic_High m-3m,{001},0.21949113,-0.15368934
+5,S1,432,Cubic_High m-3m,{001},0.21949113,-0.15368934
+5,S1,432,Cubic_High m-3m,{011},-0.58699928,0.12695795
+5,S1,432,Cubic_High m-3m,{011},-0.58699928,0.12695795
+5,S1,432,Cubic_High m-3m,{011},-0.16458398,-0.32881732
+5,S1,432,Cubic_High m-3m,{011},-0.16458398,-0.32881732
+5,S1,432,Cubic_High m-3m,{011},0.00330698,0.18643213
+5,S1,432,Cubic_High m-3m,{011},0.00330698,0.18643213
+5,S1,432,Cubic_High m-3m,{011},0.25307574,0.80242128
+5,S1,432,Cubic_High m-3m,{011},0.25307574,0.80242128
+5,S1,432,Cubic_High m-3m,{011},0.44339083,-0.59283977
+5,S1,432,Cubic_High m-3m,{011},0.44339083,-0.59283977
+5,S1,432,Cubic_High m-3m,{011},0.59413370,0.11875112
+5,S1,432,Cubic_High m-3m,{011},0.59413370,0.11875112
+5,S1,432,Cubic_High m-3m,{111},-0.24845851,-0.00701408
+5,S1,432,Cubic_High m-3m,{111},-0.24845851,-0.00701408
+5,S1,432,Cubic_High m-3m,{111},-0.00404551,-0.68569013
+5,S1,432,Cubic_High m-3m,{111},-0.00404551,-0.68569013
+5,S1,432,Cubic_High m-3m,{111},0.29179833,0.36693564
+5,S1,432,Cubic_High m-3m,{111},0.29179833,0.36693564
+5,S1,432,Cubic_High m-3m,{111},0.84285611,-0.28479985
+5,S1,432,Cubic_High m-3m,{111},0.84285611,-0.28479985
+5,S1,23,Cubic_Low m-3,{001},-0.67666040,-0.43958718
+5,S1,23,Cubic_Low m-3,{001},-0.67666040,-0.43958718
+5,S1,23,Cubic_Low m-3,{001},-0.27563271,0.54803588
+5,S1,23,Cubic_Low m-3,{001},-0.27563271,0.54803588
+5,S1,23,Cubic_Low m-3,{001},0.21949113,-0.15368934
+5,S1,23,Cubic_Low m-3,{001},0.21949113,-0.15368934
+5,S1,23,Cubic_Low m-3,{011},-0.58699928,0.12695795
+5,S1,23,Cubic_Low m-3,{011},-0.58699928,0.12695795
+5,S1,23,Cubic_Low m-3,{011},-0.16458398,-0.32881732
+5,S1,23,Cubic_Low m-3,{011},-0.16458398,-0.32881732
+5,S1,23,Cubic_Low m-3,{011},0.00330698,0.18643213
+5,S1,23,Cubic_Low m-3,{011},0.00330698,0.18643213
+5,S1,23,Cubic_Low m-3,{011},0.25307574,0.80242128
+5,S1,23,Cubic_Low m-3,{011},0.25307574,0.80242128
+5,S1,23,Cubic_Low m-3,{011},0.44339083,-0.59283977
+5,S1,23,Cubic_Low m-3,{011},0.44339083,-0.59283977
+5,S1,23,Cubic_Low m-3,{011},0.59413370,0.11875112
+5,S1,23,Cubic_Low m-3,{011},0.59413370,0.11875112
+5,S1,23,Cubic_Low m-3,{111},-0.24845851,-0.00701408
+5,S1,23,Cubic_Low m-3,{111},-0.24845851,-0.00701408
+5,S1,23,Cubic_Low m-3,{111},-0.00404551,-0.68569013
+5,S1,23,Cubic_Low m-3,{111},-0.00404551,-0.68569013
+5,S1,23,Cubic_Low m-3,{111},0.29179833,0.36693564
+5,S1,23,Cubic_Low m-3,{111},0.29179833,0.36693564
+5,S1,23,Cubic_Low m-3,{111},0.84285611,-0.28479985
+5,S1,23,Cubic_Low m-3,{111},0.84285611,-0.28479985
+5,S1,622,Hexagonal_High 6/mmm,{0001},0.21949113,-0.15368934
+5,S1,622,Hexagonal_High 6/mmm,{0001},0.21949113,-0.15368934
+5,S1,622,Hexagonal_High 6/mmm,{10-10},-0.67666040,-0.43958718
+5,S1,622,Hexagonal_High 6/mmm,{10-10},-0.67666040,-0.43958718
+5,S1,622,Hexagonal_High 6/mmm,{10-10},-0.50510566,0.28265703
+5,S1,622,Hexagonal_High 6/mmm,{10-10},-0.50510566,0.28265703
+5,S1,622,Hexagonal_High 6/mmm,{10-10},0.04891828,0.74287571
+5,S1,622,Hexagonal_High 6/mmm,{10-10},0.04891828,0.74287571
+5,S1,622,Hexagonal_High 6/mmm,{11-20},-0.64565634,-0.04465702
+5,S1,622,Hexagonal_High 6/mmm,{11-20},-0.64565634,-0.04465702
+5,S1,622,Hexagonal_High 6/mmm,{11-20},-0.27563271,0.54803588
+5,S1,622,Hexagonal_High 6/mmm,{11-20},-0.27563271,0.54803588
+5,S1,622,Hexagonal_High 6/mmm,{11-20},0.48828647,0.82344401
+5,S1,622,Hexagonal_High 6/mmm,{11-20},0.48828647,0.82344401
+5,S1,6,Hexagonal_Low 6/m,{0001},0.21949113,-0.15368934
+5,S1,6,Hexagonal_Low 6/m,{0001},0.21949113,-0.15368934
+5,S1,6,Hexagonal_Low 6/m,{10-10},-0.67666040,-0.43958718
+5,S1,6,Hexagonal_Low 6/m,{10-10},-0.67666040,-0.43958718
+5,S1,6,Hexagonal_Low 6/m,{10-10},-0.50510566,0.28265703
+5,S1,6,Hexagonal_Low 6/m,{10-10},-0.50510566,0.28265703
+5,S1,6,Hexagonal_Low 6/m,{10-10},0.04891828,0.74287571
+5,S1,6,Hexagonal_Low 6/m,{10-10},0.04891828,0.74287571
+5,S1,6,Hexagonal_Low 6/m,{11-20},-0.64565634,-0.04465702
+5,S1,6,Hexagonal_Low 6/m,{11-20},-0.64565634,-0.04465702
+5,S1,6,Hexagonal_Low 6/m,{11-20},-0.27563271,0.54803588
+5,S1,6,Hexagonal_Low 6/m,{11-20},-0.27563271,0.54803588
+5,S1,6,Hexagonal_Low 6/m,{11-20},0.48828647,0.82344401
+5,S1,6,Hexagonal_Low 6/m,{11-20},0.48828647,0.82344401
+5,S1,32,Trigonal_High -3m,{0001},0.21949113,-0.15368934
+5,S1,32,Trigonal_High -3m,{0001},0.21949113,-0.15368934
+5,S1,32,Trigonal_High -3m,{0-110},-0.67666040,-0.43958718
+5,S1,32,Trigonal_High -3m,{0-110},-0.67666040,-0.43958718
+5,S1,32,Trigonal_High -3m,{0-110},-0.50510566,0.28265703
+5,S1,32,Trigonal_High -3m,{0-110},-0.50510566,0.28265703
+5,S1,32,Trigonal_High -3m,{0-110},0.04891828,0.74287571
+5,S1,32,Trigonal_High -3m,{0-110},0.04891828,0.74287571
+5,S1,32,Trigonal_High -3m,{1-100},-0.67666040,-0.43958718
+5,S1,32,Trigonal_High -3m,{1-100},-0.67666040,-0.43958718
+5,S1,32,Trigonal_High -3m,{1-100},-0.50510566,0.28265703
+5,S1,32,Trigonal_High -3m,{1-100},-0.50510566,0.28265703
+5,S1,32,Trigonal_High -3m,{1-100},0.04891828,0.74287571
+5,S1,32,Trigonal_High -3m,{1-100},0.04891828,0.74287571
+5,S1,3,Trigonal_Low -3,{0001},0.21949113,-0.15368934
+5,S1,3,Trigonal_Low -3,{0001},0.21949113,-0.15368934
+5,S1,3,Trigonal_Low -3,{-1-120},-0.64565634,-0.04465702
+5,S1,3,Trigonal_Low -3,{-1-120},-0.64565634,-0.04465702
+5,S1,3,Trigonal_Low -3,{-1-120},-0.27563271,0.54803588
+5,S1,3,Trigonal_Low -3,{-1-120},-0.27563271,0.54803588
+5,S1,3,Trigonal_Low -3,{-1-120},0.48828647,0.82344401
+5,S1,3,Trigonal_Low -3,{-1-120},0.48828647,0.82344401
+5,S1,3,Trigonal_Low -3,{2-1-10},-0.64565634,-0.04465702
+5,S1,3,Trigonal_Low -3,{2-1-10},-0.64565634,-0.04465702
+5,S1,3,Trigonal_Low -3,{2-1-10},-0.27563271,0.54803588
+5,S1,3,Trigonal_Low -3,{2-1-10},-0.27563271,0.54803588
+5,S1,3,Trigonal_Low -3,{2-1-10},0.48828647,0.82344401
+5,S1,3,Trigonal_Low -3,{2-1-10},0.48828647,0.82344401
+5,S1,422,Tetragonal_High 4/mmm,{001},0.21949113,-0.15368934
+5,S1,422,Tetragonal_High 4/mmm,{001},0.21949113,-0.15368934
+5,S1,422,Tetragonal_High 4/mmm,{100},-0.67666040,-0.43958718
+5,S1,422,Tetragonal_High 4/mmm,{100},-0.67666040,-0.43958718
+5,S1,422,Tetragonal_High 4/mmm,{100},-0.27563271,0.54803588
+5,S1,422,Tetragonal_High 4/mmm,{100},-0.27563271,0.54803588
+5,S1,422,Tetragonal_High 4/mmm,{110},-0.58699928,0.12695795
+5,S1,422,Tetragonal_High 4/mmm,{110},-0.58699928,0.12695795
+5,S1,422,Tetragonal_High 4/mmm,{110},0.25307574,0.80242128
+5,S1,422,Tetragonal_High 4/mmm,{110},0.25307574,0.80242128
+5,S1,4,Tetragonal_Low 4/m,{001},0.21949113,-0.15368934
+5,S1,4,Tetragonal_Low 4/m,{001},0.21949113,-0.15368934
+5,S1,4,Tetragonal_Low 4/m,{100},-0.67666040,-0.43958718
+5,S1,4,Tetragonal_Low 4/m,{100},-0.67666040,-0.43958718
+5,S1,4,Tetragonal_Low 4/m,{100},-0.27563271,0.54803588
+5,S1,4,Tetragonal_Low 4/m,{100},-0.27563271,0.54803588
+5,S1,4,Tetragonal_Low 4/m,{110},-0.58699928,0.12695795
+5,S1,4,Tetragonal_Low 4/m,{110},-0.58699928,0.12695795
+5,S1,4,Tetragonal_Low 4/m,{110},0.25307574,0.80242128
+5,S1,4,Tetragonal_Low 4/m,{110},0.25307574,0.80242128
+5,S1,222,OrthoRhombic mmm,{001},0.21949113,-0.15368934
+5,S1,222,OrthoRhombic mmm,{001},0.21949113,-0.15368934
+5,S1,222,OrthoRhombic mmm,{100},-0.27563271,0.54803588
+5,S1,222,OrthoRhombic mmm,{100},-0.27563271,0.54803588
+5,S1,222,OrthoRhombic mmm,{010},-0.67666040,-0.43958718
+5,S1,222,OrthoRhombic mmm,{010},-0.67666040,-0.43958718
+5,S1,2,Monoclinic 2/m,{001},0.21949113,-0.15368934
+5,S1,2,Monoclinic 2/m,{001},0.21949113,-0.15368934
+5,S1,2,Monoclinic 2/m,{100},-0.27563271,0.54803588
+5,S1,2,Monoclinic 2/m,{100},-0.27563271,0.54803588
+5,S1,2,Monoclinic 2/m,{010},-0.67666040,-0.43958718
+5,S1,2,Monoclinic 2/m,{010},-0.67666040,-0.43958718
+5,S1,1,Triclinic -1,{001},0.21949113,-0.15368934
+5,S1,1,Triclinic -1,{001},0.21949113,-0.15368934
+5,S1,1,Triclinic -1,{100},-0.27563271,0.54803588
+5,S1,1,Triclinic -1,{100},-0.27563271,0.54803588
+5,S1,1,Triclinic -1,{010},-0.67666040,-0.43958718
+5,S1,1,Triclinic -1,{010},-0.67666040,-0.43958718
+6,S2,432,Cubic_High m-3m,{001},-0.71285088,-0.31878850
+6,S2,432,Cubic_High m-3m,{001},-0.71285088,-0.31878850
+6,S2,432,Cubic_High m-3m,{001},-0.14878083,0.54202863
+6,S2,432,Cubic_High m-3m,{001},-0.14878083,0.54202863
+6,S2,432,Cubic_High m-3m,{001},0.22294991,-0.22294991
+6,S2,432,Cubic_High m-3m,{001},0.22294991,-0.22294991
+6,S2,432,Cubic_High m-3m,{011},-0.51081767,0.19652653
+6,S2,432,Cubic_High m-3m,{011},-0.51081767,0.19652653
+6,S2,432,Cubic_High m-3m,{011},-0.19390695,-0.32379584
+6,S2,432,Cubic_High m-3m,{011},-0.19390695,-0.32379584
+6,S2,432,Cubic_High m-3m,{011},0.06518126,0.15190139
+6,S2,432,Cubic_High m-3m,{011},0.06518126,0.15190139
+6,S2,432,Cubic_High m-3m,{011},0.36865582,-0.71745210
+6,S2,432,Cubic_High m-3m,{011},0.36865582,-0.71745210
+6,S2,432,Cubic_High m-3m,{011},0.38987231,0.72110759
+6,S2,432,Cubic_High m-3m,{011},0.38987231,0.72110759
+6,S2,432,Cubic_High m-3m,{011},0.64854511,-0.00477946
+6,S2,432,Cubic_High m-3m,{011},0.64854511,-0.00477946
+6,S2,432,Cubic_High m-3m,{111},-0.21312918,0.00668525
+6,S2,432,Cubic_High m-3m,{111},-0.21312918,0.00668525
+6,S2,432,Cubic_High m-3m,{111},-0.11168515,-0.71486516
+6,S2,432,Cubic_High m-3m,{111},-0.11168515,-0.71486516
+6,S2,432,Cubic_High m-3m,{111},0.37654403,0.28786998
+6,S2,432,Cubic_High m-3m,{111},0.37654403,0.28786998
+6,S2,432,Cubic_High m-3m,{111},0.84817392,-0.46580681
+6,S2,432,Cubic_High m-3m,{111},0.84817392,-0.46580681
+6,S2,23,Cubic_Low m-3,{001},-0.71285088,-0.31878850
+6,S2,23,Cubic_Low m-3,{001},-0.71285088,-0.31878850
+6,S2,23,Cubic_Low m-3,{001},-0.14878083,0.54202863
+6,S2,23,Cubic_Low m-3,{001},-0.14878083,0.54202863
+6,S2,23,Cubic_Low m-3,{001},0.22294991,-0.22294991
+6,S2,23,Cubic_Low m-3,{001},0.22294991,-0.22294991
+6,S2,23,Cubic_Low m-3,{011},-0.51081767,0.19652653
+6,S2,23,Cubic_Low m-3,{011},-0.51081767,0.19652653
+6,S2,23,Cubic_Low m-3,{011},-0.19390695,-0.32379584
+6,S2,23,Cubic_Low m-3,{011},-0.19390695,-0.32379584
+6,S2,23,Cubic_Low m-3,{011},0.06518126,0.15190139
+6,S2,23,Cubic_Low m-3,{011},0.06518126,0.15190139
+6,S2,23,Cubic_Low m-3,{011},0.36865582,-0.71745210
+6,S2,23,Cubic_Low m-3,{011},0.36865582,-0.71745210
+6,S2,23,Cubic_Low m-3,{011},0.38987231,0.72110759
+6,S2,23,Cubic_Low m-3,{011},0.38987231,0.72110759
+6,S2,23,Cubic_Low m-3,{011},0.64854511,-0.00477946
+6,S2,23,Cubic_Low m-3,{011},0.64854511,-0.00477946
+6,S2,23,Cubic_Low m-3,{111},-0.21312918,0.00668525
+6,S2,23,Cubic_Low m-3,{111},-0.21312918,0.00668525
+6,S2,23,Cubic_Low m-3,{111},-0.11168515,-0.71486516
+6,S2,23,Cubic_Low m-3,{111},-0.11168515,-0.71486516
+6,S2,23,Cubic_Low m-3,{111},0.37654403,0.28786998
+6,S2,23,Cubic_Low m-3,{111},0.37654403,0.28786998
+6,S2,23,Cubic_Low m-3,{111},0.84817392,-0.46580681
+6,S2,23,Cubic_Low m-3,{111},0.84817392,-0.46580681
+6,S2,622,Hexagonal_High 6/mmm,{0001},0.22294991,-0.22294991
+6,S2,622,Hexagonal_High 6/mmm,{0001},0.22294991,-0.22294991
+6,S2,622,Hexagonal_High 6/mmm,{10-10},-0.71285088,-0.31878850
+6,S2,622,Hexagonal_High 6/mmm,{10-10},-0.71285088,-0.31878850
+6,S2,622,Hexagonal_High 6/mmm,{10-10},-0.40642406,0.32798615
+6,S2,622,Hexagonal_High 6/mmm,{10-10},-0.40642406,0.32798615
+6,S2,622,Hexagonal_High 6/mmm,{10-10},0.18585277,0.68582873
+6,S2,622,Hexagonal_High 6/mmm,{10-10},0.18585277,0.68582873
+6,S2,622,Hexagonal_High 6/mmm,{11-20},-0.59873985,0.04687292
+6,S2,622,Hexagonal_High 6/mmm,{11-20},-0.59873985,0.04687292
+6,S2,622,Hexagonal_High 6/mmm,{11-20},-0.14878083,0.54202863
+6,S2,622,Hexagonal_High 6/mmm,{11-20},-0.14878083,0.54202863
+6,S2,622,Hexagonal_High 6/mmm,{11-20},0.62279896,0.71895801
+6,S2,622,Hexagonal_High 6/mmm,{11-20},0.62279896,0.71895801
+6,S2,6,Hexagonal_Low 6/m,{0001},0.22294991,-0.22294991
+6,S2,6,Hexagonal_Low 6/m,{0001},0.22294991,-0.22294991
+6,S2,6,Hexagonal_Low 6/m,{10-10},-0.71285088,-0.31878850
+6,S2,6,Hexagonal_Low 6/m,{10-10},-0.71285088,-0.31878850
+6,S2,6,Hexagonal_Low 6/m,{10-10},-0.40642406,0.32798615
+6,S2,6,Hexagonal_Low 6/m,{10-10},-0.40642406,0.32798615
+6,S2,6,Hexagonal_Low 6/m,{10-10},0.18585277,0.68582873
+6,S2,6,Hexagonal_Low 6/m,{10-10},0.18585277,0.68582873
+6,S2,6,Hexagonal_Low 6/m,{11-20},-0.59873985,0.04687292
+6,S2,6,Hexagonal_Low 6/m,{11-20},-0.59873985,0.04687292
+6,S2,6,Hexagonal_Low 6/m,{11-20},-0.14878083,0.54202863
+6,S2,6,Hexagonal_Low 6/m,{11-20},-0.14878083,0.54202863
+6,S2,6,Hexagonal_Low 6/m,{11-20},0.62279896,0.71895801
+6,S2,6,Hexagonal_Low 6/m,{11-20},0.62279896,0.71895801
+6,S2,32,Trigonal_High -3m,{0001},0.22294991,-0.22294991
+6,S2,32,Trigonal_High -3m,{0001},0.22294991,-0.22294991
+6,S2,32,Trigonal_High -3m,{0-110},-0.71285088,-0.31878850
+6,S2,32,Trigonal_High -3m,{0-110},-0.71285088,-0.31878850
+6,S2,32,Trigonal_High -3m,{0-110},-0.40642406,0.32798615
+6,S2,32,Trigonal_High -3m,{0-110},-0.40642406,0.32798615
+6,S2,32,Trigonal_High -3m,{0-110},0.18585277,0.68582873
+6,S2,32,Trigonal_High -3m,{0-110},0.18585277,0.68582873
+6,S2,32,Trigonal_High -3m,{1-100},-0.71285088,-0.31878850
+6,S2,32,Trigonal_High -3m,{1-100},-0.71285088,-0.31878850
+6,S2,32,Trigonal_High -3m,{1-100},-0.40642406,0.32798615
+6,S2,32,Trigonal_High -3m,{1-100},-0.40642406,0.32798615
+6,S2,32,Trigonal_High -3m,{1-100},0.18585277,0.68582873
+6,S2,32,Trigonal_High -3m,{1-100},0.18585277,0.68582873
+6,S2,3,Trigonal_Low -3,{0001},0.22294991,-0.22294991
+6,S2,3,Trigonal_Low -3,{0001},0.22294991,-0.22294991
+6,S2,3,Trigonal_Low -3,{-1-120},-0.59873985,0.04687292
+6,S2,3,Trigonal_Low -3,{-1-120},-0.59873985,0.04687292
+6,S2,3,Trigonal_Low -3,{-1-120},-0.14878083,0.54202863
+6,S2,3,Trigonal_Low -3,{-1-120},-0.14878083,0.54202863
+6,S2,3,Trigonal_Low -3,{-1-120},0.62279896,0.71895801
+6,S2,3,Trigonal_Low -3,{-1-120},0.62279896,0.71895801
+6,S2,3,Trigonal_Low -3,{2-1-10},-0.59873985,0.04687292
+6,S2,3,Trigonal_Low -3,{2-1-10},-0.59873985,0.04687292
+6,S2,3,Trigonal_Low -3,{2-1-10},-0.14878083,0.54202863
+6,S2,3,Trigonal_Low -3,{2-1-10},-0.14878083,0.54202863
+6,S2,3,Trigonal_Low -3,{2-1-10},0.62279896,0.71895801
+6,S2,3,Trigonal_Low -3,{2-1-10},0.62279896,0.71895801
+6,S2,422,Tetragonal_High 4/mmm,{001},0.22294991,-0.22294991
+6,S2,422,Tetragonal_High 4/mmm,{001},0.22294991,-0.22294991
+6,S2,422,Tetragonal_High 4/mmm,{100},-0.71285088,-0.31878850
+6,S2,422,Tetragonal_High 4/mmm,{100},-0.71285088,-0.31878850
+6,S2,422,Tetragonal_High 4/mmm,{100},-0.14878083,0.54202863
+6,S2,422,Tetragonal_High 4/mmm,{100},-0.14878083,0.54202863
+6,S2,422,Tetragonal_High 4/mmm,{110},-0.51081767,0.19652653
+6,S2,422,Tetragonal_High 4/mmm,{110},-0.51081767,0.19652653
+6,S2,422,Tetragonal_High 4/mmm,{110},0.38987231,0.72110759
+6,S2,422,Tetragonal_High 4/mmm,{110},0.38987231,0.72110759
+6,S2,4,Tetragonal_Low 4/m,{001},0.22294991,-0.22294991
+6,S2,4,Tetragonal_Low 4/m,{001},0.22294991,-0.22294991
+6,S2,4,Tetragonal_Low 4/m,{100},-0.71285088,-0.31878850
+6,S2,4,Tetragonal_Low 4/m,{100},-0.71285088,-0.31878850
+6,S2,4,Tetragonal_Low 4/m,{100},-0.14878083,0.54202863
+6,S2,4,Tetragonal_Low 4/m,{100},-0.14878083,0.54202863
+6,S2,4,Tetragonal_Low 4/m,{110},-0.51081767,0.19652653
+6,S2,4,Tetragonal_Low 4/m,{110},-0.51081767,0.19652653
+6,S2,4,Tetragonal_Low 4/m,{110},0.38987231,0.72110759
+6,S2,4,Tetragonal_Low 4/m,{110},0.38987231,0.72110759
+6,S2,222,OrthoRhombic mmm,{001},0.22294991,-0.22294991
+6,S2,222,OrthoRhombic mmm,{001},0.22294991,-0.22294991
+6,S2,222,OrthoRhombic mmm,{100},-0.14878083,0.54202863
+6,S2,222,OrthoRhombic mmm,{100},-0.14878083,0.54202863
+6,S2,222,OrthoRhombic mmm,{010},-0.71285088,-0.31878850
+6,S2,222,OrthoRhombic mmm,{010},-0.71285088,-0.31878850
+6,S2,2,Monoclinic 2/m,{001},0.22294991,-0.22294991
+6,S2,2,Monoclinic 2/m,{001},0.22294991,-0.22294991
+6,S2,2,Monoclinic 2/m,{100},-0.14878083,0.54202863
+6,S2,2,Monoclinic 2/m,{100},-0.14878083,0.54202863
+6,S2,2,Monoclinic 2/m,{010},-0.71285088,-0.31878850
+6,S2,2,Monoclinic 2/m,{010},-0.71285088,-0.31878850
+6,S2,1,Triclinic -1,{001},0.22294991,-0.22294991
+6,S2,1,Triclinic -1,{001},0.22294991,-0.22294991
+6,S2,1,Triclinic -1,{100},-0.14878083,0.54202863
+6,S2,1,Triclinic -1,{100},-0.14878083,0.54202863
+6,S2,1,Triclinic -1,{010},-0.71285088,-0.31878850
+6,S2,1,Triclinic -1,{010},-0.71285088,-0.31878850
+7,R,432,Cubic_High m-3m,{001},-0.23170848,-0.11285166
+7,R,432,Cubic_High m-3m,{001},-0.23170848,-0.11285166
+7,R,432,Cubic_High m-3m,{001},0.30551848,0.57174576
+7,R,432,Cubic_High m-3m,{001},0.30551848,0.57174576
+7,R,432,Cubic_High m-3m,{001},0.62855747,-0.44012068
+7,R,432,Cubic_High m-3m,{001},0.62855747,-0.44012068
+7,R,432,Cubic_High m-3m,{011},-0.60359455,0.16859556
+7,R,432,Cubic_High m-3m,{011},-0.60359455,0.16859556
+7,R,432,Cubic_High m-3m,{011},-0.45964639,-0.54043574
+7,R,432,Cubic_High m-3m,{011},-0.45964639,-0.54043574
+7,R,432,Cubic_High m-3m,{011},-0.23087789,0.86925308
+7,R,432,Cubic_High m-3m,{011},-0.23087789,0.86925308
+7,R,432,Cubic_High m-3m,{011},-0.00159962,0.21998851
+7,R,432,Cubic_High m-3m,{011},-0.00159962,0.21998851
+7,R,432,Cubic_High m-3m,{011},0.13996224,-0.30044719
+7,R,432,Cubic_High m-3m,{011},0.13996224,-0.30044719
+7,R,432,Cubic_High m-3m,{011},0.58689557,0.12065358
+7,R,432,Cubic_High m-3m,{011},0.58689557,0.12065358
+7,R,432,Cubic_High m-3m,{111},-0.85342957,-0.23847956
+7,R,432,Cubic_High m-3m,{111},-0.85342957,-0.23847956
+7,R,432,Cubic_High m-3m,{111},-0.28857146,0.41624290
+7,R,432,Cubic_High m-3m,{111},-0.28857146,0.41624290
+7,R,432,Cubic_High m-3m,{111},-0.02992118,-0.63904393
+7,R,432,Cubic_High m-3m,{111},-0.02992118,-0.63904393
+7,R,432,Cubic_High m-3m,{111},0.24031798,0.01205228
+7,R,432,Cubic_High m-3m,{111},0.24031798,0.01205228
+7,R,23,Cubic_Low m-3,{001},-0.23170848,-0.11285166
+7,R,23,Cubic_Low m-3,{001},-0.23170848,-0.11285166
+7,R,23,Cubic_Low m-3,{001},0.30551848,0.57174576
+7,R,23,Cubic_Low m-3,{001},0.30551848,0.57174576
+7,R,23,Cubic_Low m-3,{001},0.62855747,-0.44012068
+7,R,23,Cubic_Low m-3,{001},0.62855747,-0.44012068
+7,R,23,Cubic_Low m-3,{011},-0.60359455,0.16859556
+7,R,23,Cubic_Low m-3,{011},-0.60359455,0.16859556
+7,R,23,Cubic_Low m-3,{011},-0.45964639,-0.54043574
+7,R,23,Cubic_Low m-3,{011},-0.45964639,-0.54043574
+7,R,23,Cubic_Low m-3,{011},-0.23087789,0.86925308
+7,R,23,Cubic_Low m-3,{011},-0.23087789,0.86925308
+7,R,23,Cubic_Low m-3,{011},-0.00159962,0.21998851
+7,R,23,Cubic_Low m-3,{011},-0.00159962,0.21998851
+7,R,23,Cubic_Low m-3,{011},0.13996224,-0.30044719
+7,R,23,Cubic_Low m-3,{011},0.13996224,-0.30044719
+7,R,23,Cubic_Low m-3,{011},0.58689557,0.12065358
+7,R,23,Cubic_Low m-3,{011},0.58689557,0.12065358
+7,R,23,Cubic_Low m-3,{111},-0.85342957,-0.23847956
+7,R,23,Cubic_Low m-3,{111},-0.85342957,-0.23847956
+7,R,23,Cubic_Low m-3,{111},-0.28857146,0.41624290
+7,R,23,Cubic_Low m-3,{111},-0.28857146,0.41624290
+7,R,23,Cubic_Low m-3,{111},-0.02992118,-0.63904393
+7,R,23,Cubic_Low m-3,{111},-0.02992118,-0.63904393
+7,R,23,Cubic_Low m-3,{111},0.24031798,0.01205228
+7,R,23,Cubic_Low m-3,{111},0.24031798,0.01205228
+7,R,622,Hexagonal_High 6/mmm,{0001},0.62855747,-0.44012068
+7,R,622,Hexagonal_High 6/mmm,{0001},0.62855747,-0.44012068
+7,R,622,Hexagonal_High 6/mmm,{10-10},-0.54406891,-0.74073678
+7,R,622,Hexagonal_High 6/mmm,{10-10},-0.54406891,-0.74073678
+7,R,622,Hexagonal_High 6/mmm,{10-10},-0.23170848,-0.11285166
+7,R,622,Hexagonal_High 6/mmm,{10-10},-0.23170848,-0.11285166
+7,R,622,Hexagonal_High 6/mmm,{10-10},0.08671073,0.33019107
+7,R,622,Hexagonal_High 6/mmm,{10-10},0.08671073,0.33019107
+7,R,622,Hexagonal_High 6/mmm,{11-20},-0.38059150,-0.37699423
+7,R,622,Hexagonal_High 6/mmm,{11-20},-0.38059150,-0.37699423
+7,R,622,Hexagonal_High 6/mmm,{11-20},-0.08215818,0.11174997
+7,R,622,Hexagonal_High 6/mmm,{11-20},-0.08215818,0.11174997
+7,R,622,Hexagonal_High 6/mmm,{11-20},0.30551848,0.57174576
+7,R,622,Hexagonal_High 6/mmm,{11-20},0.30551848,0.57174576
+7,R,6,Hexagonal_Low 6/m,{0001},0.62855747,-0.44012068
+7,R,6,Hexagonal_Low 6/m,{0001},0.62855747,-0.44012068
+7,R,6,Hexagonal_Low 6/m,{10-10},-0.54406891,-0.74073678
+7,R,6,Hexagonal_Low 6/m,{10-10},-0.54406891,-0.74073678
+7,R,6,Hexagonal_Low 6/m,{10-10},-0.23170848,-0.11285166
+7,R,6,Hexagonal_Low 6/m,{10-10},-0.23170848,-0.11285166
+7,R,6,Hexagonal_Low 6/m,{10-10},0.08671073,0.33019107
+7,R,6,Hexagonal_Low 6/m,{10-10},0.08671073,0.33019107
+7,R,6,Hexagonal_Low 6/m,{11-20},-0.38059150,-0.37699423
+7,R,6,Hexagonal_Low 6/m,{11-20},-0.38059150,-0.37699423
+7,R,6,Hexagonal_Low 6/m,{11-20},-0.08215818,0.11174997
+7,R,6,Hexagonal_Low 6/m,{11-20},-0.08215818,0.11174997
+7,R,6,Hexagonal_Low 6/m,{11-20},0.30551848,0.57174576
+7,R,6,Hexagonal_Low 6/m,{11-20},0.30551848,0.57174576
+7,R,32,Trigonal_High -3m,{0001},0.62855747,-0.44012068
+7,R,32,Trigonal_High -3m,{0001},0.62855747,-0.44012068
+7,R,32,Trigonal_High -3m,{0-110},-0.54406891,-0.74073678
+7,R,32,Trigonal_High -3m,{0-110},-0.54406891,-0.74073678
+7,R,32,Trigonal_High -3m,{0-110},-0.23170848,-0.11285166
+7,R,32,Trigonal_High -3m,{0-110},-0.23170848,-0.11285166
+7,R,32,Trigonal_High -3m,{0-110},0.08671073,0.33019107
+7,R,32,Trigonal_High -3m,{0-110},0.08671073,0.33019107
+7,R,32,Trigonal_High -3m,{1-100},-0.54406891,-0.74073678
+7,R,32,Trigonal_High -3m,{1-100},-0.54406891,-0.74073678
+7,R,32,Trigonal_High -3m,{1-100},-0.23170848,-0.11285166
+7,R,32,Trigonal_High -3m,{1-100},-0.23170848,-0.11285166
+7,R,32,Trigonal_High -3m,{1-100},0.08671073,0.33019107
+7,R,32,Trigonal_High -3m,{1-100},0.08671073,0.33019107
+7,R,3,Trigonal_Low -3,{0001},0.62855747,-0.44012068
+7,R,3,Trigonal_Low -3,{0001},0.62855747,-0.44012068
+7,R,3,Trigonal_Low -3,{-1-120},-0.38059150,-0.37699423
+7,R,3,Trigonal_Low -3,{-1-120},-0.38059150,-0.37699423
+7,R,3,Trigonal_Low -3,{-1-120},-0.08215818,0.11174997
+7,R,3,Trigonal_Low -3,{-1-120},-0.08215818,0.11174997
+7,R,3,Trigonal_Low -3,{-1-120},0.30551848,0.57174576
+7,R,3,Trigonal_Low -3,{-1-120},0.30551848,0.57174576
+7,R,3,Trigonal_Low -3,{2-1-10},-0.38059150,-0.37699423
+7,R,3,Trigonal_Low -3,{2-1-10},-0.38059150,-0.37699423
+7,R,3,Trigonal_Low -3,{2-1-10},-0.08215818,0.11174997
+7,R,3,Trigonal_Low -3,{2-1-10},-0.08215818,0.11174997
+7,R,3,Trigonal_Low -3,{2-1-10},0.30551848,0.57174576
+7,R,3,Trigonal_Low -3,{2-1-10},0.30551848,0.57174576
+7,R,422,Tetragonal_High 4/mmm,{001},0.62855747,-0.44012068
+7,R,422,Tetragonal_High 4/mmm,{001},0.62855747,-0.44012068
+7,R,422,Tetragonal_High 4/mmm,{100},-0.23170848,-0.11285166
+7,R,422,Tetragonal_High 4/mmm,{100},-0.23170848,-0.11285166
+7,R,422,Tetragonal_High 4/mmm,{100},0.30551848,0.57174576
+7,R,422,Tetragonal_High 4/mmm,{100},0.30551848,0.57174576
+7,R,422,Tetragonal_High 4/mmm,{110},-0.45964639,-0.54043574
+7,R,422,Tetragonal_High 4/mmm,{110},-0.45964639,-0.54043574
+7,R,422,Tetragonal_High 4/mmm,{110},-0.00159962,0.21998851
+7,R,422,Tetragonal_High 4/mmm,{110},-0.00159962,0.21998851
+7,R,4,Tetragonal_Low 4/m,{001},0.62855747,-0.44012068
+7,R,4,Tetragonal_Low 4/m,{001},0.62855747,-0.44012068
+7,R,4,Tetragonal_Low 4/m,{100},-0.23170848,-0.11285166
+7,R,4,Tetragonal_Low 4/m,{100},-0.23170848,-0.11285166
+7,R,4,Tetragonal_Low 4/m,{100},0.30551848,0.57174576
+7,R,4,Tetragonal_Low 4/m,{100},0.30551848,0.57174576
+7,R,4,Tetragonal_Low 4/m,{110},-0.45964639,-0.54043574
+7,R,4,Tetragonal_Low 4/m,{110},-0.45964639,-0.54043574
+7,R,4,Tetragonal_Low 4/m,{110},-0.00159962,0.21998851
+7,R,4,Tetragonal_Low 4/m,{110},-0.00159962,0.21998851
+7,R,222,OrthoRhombic mmm,{001},0.62855747,-0.44012068
+7,R,222,OrthoRhombic mmm,{001},0.62855747,-0.44012068
+7,R,222,OrthoRhombic mmm,{100},0.30551848,0.57174576
+7,R,222,OrthoRhombic mmm,{100},0.30551848,0.57174576
+7,R,222,OrthoRhombic mmm,{010},-0.23170848,-0.11285166
+7,R,222,OrthoRhombic mmm,{010},-0.23170848,-0.11285166
+7,R,2,Monoclinic 2/m,{001},0.62855747,-0.44012068
+7,R,2,Monoclinic 2/m,{001},0.62855747,-0.44012068
+7,R,2,Monoclinic 2/m,{100},0.30551848,0.57174576
+7,R,2,Monoclinic 2/m,{100},0.30551848,0.57174576
+7,R,2,Monoclinic 2/m,{010},-0.23170848,-0.11285166
+7,R,2,Monoclinic 2/m,{010},-0.23170848,-0.11285166
+7,R,1,Triclinic -1,{001},0.62855747,-0.44012068
+7,R,1,Triclinic -1,{001},0.62855747,-0.44012068
+7,R,1,Triclinic -1,{100},0.30551848,0.57174576
+7,R,1,Triclinic -1,{100},0.30551848,0.57174576
+7,R,1,Triclinic -1,{010},-0.23170848,-0.11285166
+7,R,1,Triclinic -1,{010},-0.23170848,-0.11285166
+8,RC_rd1,432,Cubic_High m-3m,{001},-0.00000000,-0.17632698
+8,RC_rd1,432,Cubic_High m-3m,{001},-0.00000000,-0.17632698
+8,RC_rd1,432,Cubic_High m-3m,{001},0.00000000,0.70020754
+8,RC_rd1,432,Cubic_High m-3m,{001},0.00000000,0.70020754
+8,RC_rd1,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+8,RC_rd1,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.56940030,0.53506126
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.56940030,0.53506126
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.42482577,-0.14529897
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.42482577,-0.14529897
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.00000000,-0.63707026
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.00000000,-0.63707026
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.00000000,0.22169466
+8,RC_rd1,432,Cubic_High m-3m,{011},-0.00000000,0.22169466
+8,RC_rd1,432,Cubic_High m-3m,{011},0.42482577,-0.14529897
+8,RC_rd1,432,Cubic_High m-3m,{011},0.42482577,-0.14529897
+8,RC_rd1,432,Cubic_High m-3m,{011},0.56940030,0.53506126
+8,RC_rd1,432,Cubic_High m-3m,{011},0.56940030,0.53506126
+8,RC_rd1,432,Cubic_High m-3m,{111},-0.42923553,-0.55015665
+8,RC_rd1,432,Cubic_High m-3m,{111},-0.42923553,-0.55015665
+8,RC_rd1,432,Cubic_High m-3m,{111},-0.33181103,0.19831432
+8,RC_rd1,432,Cubic_High m-3m,{111},-0.33181103,0.19831432
+8,RC_rd1,432,Cubic_High m-3m,{111},0.33181103,0.19831432
+8,RC_rd1,432,Cubic_High m-3m,{111},0.33181103,0.19831432
+8,RC_rd1,432,Cubic_High m-3m,{111},0.42923553,-0.55015665
+8,RC_rd1,432,Cubic_High m-3m,{111},0.42923553,-0.55015665
+8,RC_rd1,23,Cubic_Low m-3,{001},-0.00000000,-0.17632698
+8,RC_rd1,23,Cubic_Low m-3,{001},-0.00000000,-0.17632698
+8,RC_rd1,23,Cubic_Low m-3,{001},0.00000000,0.70020754
+8,RC_rd1,23,Cubic_Low m-3,{001},0.00000000,0.70020754
+8,RC_rd1,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+8,RC_rd1,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.56940030,0.53506126
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.56940030,0.53506126
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.42482577,-0.14529897
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.42482577,-0.14529897
+8,RC_rd1,23,Cubic_Low m-3,{011},0.00000000,-0.63707026
+8,RC_rd1,23,Cubic_Low m-3,{011},0.00000000,-0.63707026
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.00000000,0.22169466
+8,RC_rd1,23,Cubic_Low m-3,{011},-0.00000000,0.22169466
+8,RC_rd1,23,Cubic_Low m-3,{011},0.42482577,-0.14529897
+8,RC_rd1,23,Cubic_Low m-3,{011},0.42482577,-0.14529897
+8,RC_rd1,23,Cubic_Low m-3,{011},0.56940030,0.53506126
+8,RC_rd1,23,Cubic_Low m-3,{011},0.56940030,0.53506126
+8,RC_rd1,23,Cubic_Low m-3,{111},-0.42923553,-0.55015665
+8,RC_rd1,23,Cubic_Low m-3,{111},-0.42923553,-0.55015665
+8,RC_rd1,23,Cubic_Low m-3,{111},-0.33181103,0.19831432
+8,RC_rd1,23,Cubic_Low m-3,{111},-0.33181103,0.19831432
+8,RC_rd1,23,Cubic_Low m-3,{111},0.33181103,0.19831432
+8,RC_rd1,23,Cubic_Low m-3,{111},0.33181103,0.19831432
+8,RC_rd1,23,Cubic_Low m-3,{111},0.42923553,-0.55015665
+8,RC_rd1,23,Cubic_Low m-3,{111},0.42923553,-0.55015665
+8,RC_rd1,622,Hexagonal_High 6/mmm,{0001},0.00000000,-0.17632698
+8,RC_rd1,622,Hexagonal_High 6/mmm,{0001},0.00000000,-0.17632698
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},-0.73955419,0.40123166
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},-0.73955419,0.40123166
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},0.00000000,0.70020754
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},0.00000000,0.70020754
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},0.73955419,0.40123166
+8,RC_rd1,622,Hexagonal_High 6/mmm,{10-10},0.73955419,0.40123166
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},-1.00000000,0.00000000
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},-1.00000000,0.00000000
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},-0.38574350,0.62783433
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},-0.38574350,0.62783433
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},0.38574350,0.62783433
+8,RC_rd1,622,Hexagonal_High 6/mmm,{11-20},0.38574350,0.62783433
+8,RC_rd1,6,Hexagonal_Low 6/m,{0001},0.00000000,-0.17632698
+8,RC_rd1,6,Hexagonal_Low 6/m,{0001},0.00000000,-0.17632698
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},-0.73955419,0.40123166
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},-0.73955419,0.40123166
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},0.00000000,0.70020754
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},0.00000000,0.70020754
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},0.73955419,0.40123166
+8,RC_rd1,6,Hexagonal_Low 6/m,{10-10},0.73955419,0.40123166
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},-1.00000000,0.00000000
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},-1.00000000,0.00000000
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},-0.38574350,0.62783433
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},-0.38574350,0.62783433
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},0.38574350,0.62783433
+8,RC_rd1,6,Hexagonal_Low 6/m,{11-20},0.38574350,0.62783433
+8,RC_rd1,32,Trigonal_High -3m,{0001},0.00000000,-0.17632698
+8,RC_rd1,32,Trigonal_High -3m,{0001},0.00000000,-0.17632698
+8,RC_rd1,32,Trigonal_High -3m,{0-110},-0.73955419,0.40123166
+8,RC_rd1,32,Trigonal_High -3m,{0-110},-0.73955419,0.40123166
+8,RC_rd1,32,Trigonal_High -3m,{0-110},-0.00000000,0.70020754
+8,RC_rd1,32,Trigonal_High -3m,{0-110},-0.00000000,0.70020754
+8,RC_rd1,32,Trigonal_High -3m,{0-110},0.73955419,0.40123166
+8,RC_rd1,32,Trigonal_High -3m,{0-110},0.73955419,0.40123166
+8,RC_rd1,32,Trigonal_High -3m,{1-100},-0.73955419,0.40123166
+8,RC_rd1,32,Trigonal_High -3m,{1-100},-0.73955419,0.40123166
+8,RC_rd1,32,Trigonal_High -3m,{1-100},0.00000000,0.70020754
+8,RC_rd1,32,Trigonal_High -3m,{1-100},0.00000000,0.70020754
+8,RC_rd1,32,Trigonal_High -3m,{1-100},0.73955419,0.40123166
+8,RC_rd1,32,Trigonal_High -3m,{1-100},0.73955419,0.40123166
+8,RC_rd1,3,Trigonal_Low -3,{0001},0.00000000,-0.17632698
+8,RC_rd1,3,Trigonal_Low -3,{0001},0.00000000,-0.17632698
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},-1.00000000,0.00000000
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},-1.00000000,0.00000000
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},-0.38574350,0.62783433
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},-0.38574350,0.62783433
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},0.38574350,0.62783433
+8,RC_rd1,3,Trigonal_Low -3,{-1-120},0.38574350,0.62783433
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},-1.00000000,-0.00000000
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},-1.00000000,-0.00000000
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},-0.38574350,0.62783433
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},-0.38574350,0.62783433
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},0.38574350,0.62783433
+8,RC_rd1,3,Trigonal_Low -3,{2-1-10},0.38574350,0.62783433
+8,RC_rd1,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.17632698
+8,RC_rd1,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.17632698
+8,RC_rd1,422,Tetragonal_High 4/mmm,{100},0.00000000,0.70020754
+8,RC_rd1,422,Tetragonal_High 4/mmm,{100},0.00000000,0.70020754
+8,RC_rd1,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+8,RC_rd1,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+8,RC_rd1,422,Tetragonal_High 4/mmm,{110},-0.56940030,0.53506126
+8,RC_rd1,422,Tetragonal_High 4/mmm,{110},-0.56940030,0.53506126
+8,RC_rd1,422,Tetragonal_High 4/mmm,{110},0.56940030,0.53506126
+8,RC_rd1,422,Tetragonal_High 4/mmm,{110},0.56940030,0.53506126
+8,RC_rd1,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.17632698
+8,RC_rd1,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.17632698
+8,RC_rd1,4,Tetragonal_Low 4/m,{100},0.00000000,0.70020754
+8,RC_rd1,4,Tetragonal_Low 4/m,{100},0.00000000,0.70020754
+8,RC_rd1,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+8,RC_rd1,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+8,RC_rd1,4,Tetragonal_Low 4/m,{110},-0.56940030,0.53506126
+8,RC_rd1,4,Tetragonal_Low 4/m,{110},-0.56940030,0.53506126
+8,RC_rd1,4,Tetragonal_Low 4/m,{110},0.56940030,0.53506126
+8,RC_rd1,4,Tetragonal_Low 4/m,{110},0.56940030,0.53506126
+8,RC_rd1,222,OrthoRhombic mmm,{001},-0.00000000,-0.17632698
+8,RC_rd1,222,OrthoRhombic mmm,{001},-0.00000000,-0.17632698
+8,RC_rd1,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+8,RC_rd1,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+8,RC_rd1,222,OrthoRhombic mmm,{010},-0.00000000,0.70020754
+8,RC_rd1,222,OrthoRhombic mmm,{010},-0.00000000,0.70020754
+8,RC_rd1,2,Monoclinic 2/m,{001},-0.00000000,-0.17632698
+8,RC_rd1,2,Monoclinic 2/m,{001},-0.00000000,-0.17632698
+8,RC_rd1,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+8,RC_rd1,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+8,RC_rd1,2,Monoclinic 2/m,{010},-0.00000000,0.70020754
+8,RC_rd1,2,Monoclinic 2/m,{010},-0.00000000,0.70020754
+8,RC_rd1,1,Triclinic -1,{001},-0.00000000,-0.17632698
+8,RC_rd1,1,Triclinic -1,{001},-0.00000000,-0.17632698
+8,RC_rd1,1,Triclinic -1,{100},1.00000000,0.00000000
+8,RC_rd1,1,Triclinic -1,{100},1.00000000,0.00000000
+8,RC_rd1,1,Triclinic -1,{010},-0.00000000,0.70020754
+8,RC_rd1,1,Triclinic -1,{010},-0.00000000,0.70020754
+9,RC_rd2,432,Cubic_High m-3m,{001},0.00000000,-0.31529879
+9,RC_rd2,432,Cubic_High m-3m,{001},0.00000000,-0.31529879
+9,RC_rd2,432,Cubic_High m-3m,{001},-0.00000000,0.52056705
+9,RC_rd2,432,Cubic_High m-3m,{001},-0.00000000,0.52056705
+9,RC_rd2,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+9,RC_rd2,432,Cubic_High m-3m,{001},1.00000000,0.00000000
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.50307125,0.41209184
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.50307125,0.41209184
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.44775472,-0.25682156
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.44775472,-0.25682156
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.00000000,-0.83909963
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.00000000,-0.83909963
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.00000000,0.08748866
+9,RC_rd2,432,Cubic_High m-3m,{011},-0.00000000,0.08748866
+9,RC_rd2,432,Cubic_High m-3m,{011},0.44775472,-0.25682156
+9,RC_rd2,432,Cubic_High m-3m,{011},0.44775472,-0.25682156
+9,RC_rd2,432,Cubic_High m-3m,{011},0.50307125,0.41209184
+9,RC_rd2,432,Cubic_High m-3m,{011},0.50307125,0.41209184
+9,RC_rd2,432,Cubic_High m-3m,{111},-0.50565668,-0.70424245
+9,RC_rd2,432,Cubic_High m-3m,{111},-0.50565668,-0.70424245
+9,RC_rd2,432,Cubic_High m-3m,{111},-0.32002260,0.07858975
+9,RC_rd2,432,Cubic_High m-3m,{111},-0.32002260,0.07858975
+9,RC_rd2,432,Cubic_High m-3m,{111},0.32002260,0.07858975
+9,RC_rd2,432,Cubic_High m-3m,{111},0.32002260,0.07858975
+9,RC_rd2,432,Cubic_High m-3m,{111},0.50565668,-0.70424245
+9,RC_rd2,432,Cubic_High m-3m,{111},0.50565668,-0.70424245
+9,RC_rd2,23,Cubic_Low m-3,{001},0.00000000,-0.31529879
+9,RC_rd2,23,Cubic_Low m-3,{001},0.00000000,-0.31529879
+9,RC_rd2,23,Cubic_Low m-3,{001},-0.00000000,0.52056705
+9,RC_rd2,23,Cubic_Low m-3,{001},-0.00000000,0.52056705
+9,RC_rd2,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+9,RC_rd2,23,Cubic_Low m-3,{001},1.00000000,0.00000000
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.50307125,0.41209184
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.50307125,0.41209184
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.44775472,-0.25682156
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.44775472,-0.25682156
+9,RC_rd2,23,Cubic_Low m-3,{011},0.00000000,-0.83909963
+9,RC_rd2,23,Cubic_Low m-3,{011},0.00000000,-0.83909963
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.00000000,0.08748866
+9,RC_rd2,23,Cubic_Low m-3,{011},-0.00000000,0.08748866
+9,RC_rd2,23,Cubic_Low m-3,{011},0.44775472,-0.25682156
+9,RC_rd2,23,Cubic_Low m-3,{011},0.44775472,-0.25682156
+9,RC_rd2,23,Cubic_Low m-3,{011},0.50307125,0.41209184
+9,RC_rd2,23,Cubic_Low m-3,{011},0.50307125,0.41209184
+9,RC_rd2,23,Cubic_Low m-3,{111},-0.50565668,-0.70424245
+9,RC_rd2,23,Cubic_Low m-3,{111},-0.50565668,-0.70424245
+9,RC_rd2,23,Cubic_Low m-3,{111},-0.32002260,0.07858975
+9,RC_rd2,23,Cubic_Low m-3,{111},-0.32002260,0.07858975
+9,RC_rd2,23,Cubic_Low m-3,{111},0.32002260,0.07858975
+9,RC_rd2,23,Cubic_Low m-3,{111},0.32002260,0.07858975
+9,RC_rd2,23,Cubic_Low m-3,{111},0.50565668,-0.70424245
+9,RC_rd2,23,Cubic_Low m-3,{111},0.50565668,-0.70424245
+9,RC_rd2,622,Hexagonal_High 6/mmm,{0001},0.00000000,-0.31529879
+9,RC_rd2,622,Hexagonal_High 6/mmm,{0001},0.00000000,-0.31529879
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},-0.67301316,0.31829326
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},-0.67301316,0.31829326
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},0.00000000,0.52056705
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},0.00000000,0.52056705
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},0.67301316,0.31829326
+9,RC_rd2,622,Hexagonal_High 6/mmm,{10-10},0.67301316,0.31829326
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},-1.00000000,-0.00000000
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},-1.00000000,-0.00000000
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},-0.33406119,0.47397035
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},-0.33406119,0.47397035
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},0.33406119,0.47397035
+9,RC_rd2,622,Hexagonal_High 6/mmm,{11-20},0.33406119,0.47397035
+9,RC_rd2,6,Hexagonal_Low 6/m,{0001},0.00000000,-0.31529879
+9,RC_rd2,6,Hexagonal_Low 6/m,{0001},0.00000000,-0.31529879
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},-0.67301316,0.31829326
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},-0.67301316,0.31829326
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},0.00000000,0.52056705
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},0.00000000,0.52056705
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},0.67301316,0.31829326
+9,RC_rd2,6,Hexagonal_Low 6/m,{10-10},0.67301316,0.31829326
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},-1.00000000,-0.00000000
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},-1.00000000,-0.00000000
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},-0.33406119,0.47397035
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},-0.33406119,0.47397035
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},0.33406119,0.47397035
+9,RC_rd2,6,Hexagonal_Low 6/m,{11-20},0.33406119,0.47397035
+9,RC_rd2,32,Trigonal_High -3m,{0001},0.00000000,-0.31529879
+9,RC_rd2,32,Trigonal_High -3m,{0001},0.00000000,-0.31529879
+9,RC_rd2,32,Trigonal_High -3m,{0-110},-0.67301316,0.31829326
+9,RC_rd2,32,Trigonal_High -3m,{0-110},-0.67301316,0.31829326
+9,RC_rd2,32,Trigonal_High -3m,{0-110},-0.00000000,0.52056705
+9,RC_rd2,32,Trigonal_High -3m,{0-110},-0.00000000,0.52056705
+9,RC_rd2,32,Trigonal_High -3m,{0-110},0.67301316,0.31829326
+9,RC_rd2,32,Trigonal_High -3m,{0-110},0.67301316,0.31829326
+9,RC_rd2,32,Trigonal_High -3m,{1-100},-0.67301316,0.31829326
+9,RC_rd2,32,Trigonal_High -3m,{1-100},-0.67301316,0.31829326
+9,RC_rd2,32,Trigonal_High -3m,{1-100},0.00000000,0.52056705
+9,RC_rd2,32,Trigonal_High -3m,{1-100},0.00000000,0.52056705
+9,RC_rd2,32,Trigonal_High -3m,{1-100},0.67301316,0.31829326
+9,RC_rd2,32,Trigonal_High -3m,{1-100},0.67301316,0.31829326
+9,RC_rd2,3,Trigonal_Low -3,{0001},0.00000000,-0.31529879
+9,RC_rd2,3,Trigonal_Low -3,{0001},0.00000000,-0.31529879
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},-1.00000000,-0.00000000
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},-1.00000000,-0.00000000
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},-0.33406119,0.47397035
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},-0.33406119,0.47397035
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},0.33406119,0.47397035
+9,RC_rd2,3,Trigonal_Low -3,{-1-120},0.33406119,0.47397035
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},-1.00000000,-0.00000000
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},-1.00000000,-0.00000000
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},-0.33406119,0.47397035
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},-0.33406119,0.47397035
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},0.33406119,0.47397035
+9,RC_rd2,3,Trigonal_Low -3,{2-1-10},0.33406119,0.47397035
+9,RC_rd2,422,Tetragonal_High 4/mmm,{001},0.00000000,-0.31529879
+9,RC_rd2,422,Tetragonal_High 4/mmm,{001},0.00000000,-0.31529879
+9,RC_rd2,422,Tetragonal_High 4/mmm,{100},-0.00000000,0.52056705
+9,RC_rd2,422,Tetragonal_High 4/mmm,{100},-0.00000000,0.52056705
+9,RC_rd2,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+9,RC_rd2,422,Tetragonal_High 4/mmm,{100},1.00000000,0.00000000
+9,RC_rd2,422,Tetragonal_High 4/mmm,{110},-0.50307125,0.41209184
+9,RC_rd2,422,Tetragonal_High 4/mmm,{110},-0.50307125,0.41209184
+9,RC_rd2,422,Tetragonal_High 4/mmm,{110},0.50307125,0.41209184
+9,RC_rd2,422,Tetragonal_High 4/mmm,{110},0.50307125,0.41209184
+9,RC_rd2,4,Tetragonal_Low 4/m,{001},0.00000000,-0.31529879
+9,RC_rd2,4,Tetragonal_Low 4/m,{001},0.00000000,-0.31529879
+9,RC_rd2,4,Tetragonal_Low 4/m,{100},-0.00000000,0.52056705
+9,RC_rd2,4,Tetragonal_Low 4/m,{100},-0.00000000,0.52056705
+9,RC_rd2,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+9,RC_rd2,4,Tetragonal_Low 4/m,{100},1.00000000,0.00000000
+9,RC_rd2,4,Tetragonal_Low 4/m,{110},-0.50307125,0.41209184
+9,RC_rd2,4,Tetragonal_Low 4/m,{110},-0.50307125,0.41209184
+9,RC_rd2,4,Tetragonal_Low 4/m,{110},0.50307125,0.41209184
+9,RC_rd2,4,Tetragonal_Low 4/m,{110},0.50307125,0.41209184
+9,RC_rd2,222,OrthoRhombic mmm,{001},0.00000000,-0.31529879
+9,RC_rd2,222,OrthoRhombic mmm,{001},0.00000000,-0.31529879
+9,RC_rd2,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+9,RC_rd2,222,OrthoRhombic mmm,{100},1.00000000,0.00000000
+9,RC_rd2,222,OrthoRhombic mmm,{010},-0.00000000,0.52056705
+9,RC_rd2,222,OrthoRhombic mmm,{010},-0.00000000,0.52056705
+9,RC_rd2,2,Monoclinic 2/m,{001},0.00000000,-0.31529879
+9,RC_rd2,2,Monoclinic 2/m,{001},0.00000000,-0.31529879
+9,RC_rd2,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+9,RC_rd2,2,Monoclinic 2/m,{100},1.00000000,0.00000000
+9,RC_rd2,2,Monoclinic 2/m,{010},-0.00000000,0.52056705
+9,RC_rd2,2,Monoclinic 2/m,{010},-0.00000000,0.52056705
+9,RC_rd2,1,Triclinic -1,{001},0.00000000,-0.31529879
+9,RC_rd2,1,Triclinic -1,{001},0.00000000,-0.31529879
+9,RC_rd2,1,Triclinic -1,{100},1.00000000,0.00000000
+9,RC_rd2,1,Triclinic -1,{100},1.00000000,0.00000000
+9,RC_rd2,1,Triclinic -1,{010},-0.00000000,0.52056705
+9,RC_rd2,1,Triclinic -1,{010},-0.00000000,0.52056705
+10,RC_nd1,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+10,RC_nd1,432,Cubic_High m-3m,{001},-0.00000000,-0.00000000
+10,RC_nd1,432,Cubic_High m-3m,{001},0.34202014,-0.93969262
+10,RC_nd1,432,Cubic_High m-3m,{001},0.34202014,-0.93969262
+10,RC_nd1,432,Cubic_High m-3m,{001},0.93969262,0.34202014
+10,RC_nd1,432,Cubic_High m-3m,{001},0.93969262,0.34202014
+10,RC_nd1,432,Cubic_High m-3m,{011},-0.38923343,-0.14166938
+10,RC_nd1,432,Cubic_High m-3m,{011},-0.38923343,-0.14166938
+10,RC_nd1,432,Cubic_High m-3m,{011},-0.14166938,0.38923343
+10,RC_nd1,432,Cubic_High m-3m,{011},-0.14166938,0.38923343
+10,RC_nd1,432,Cubic_High m-3m,{011},0.14166938,-0.38923343
+10,RC_nd1,432,Cubic_High m-3m,{011},0.14166938,-0.38923343
+10,RC_nd1,432,Cubic_High m-3m,{011},0.38923343,0.14166938
+10,RC_nd1,432,Cubic_High m-3m,{011},0.38923343,0.14166938
+10,RC_nd1,432,Cubic_High m-3m,{011},0.42261826,0.90630779
+10,RC_nd1,432,Cubic_High m-3m,{011},0.42261826,0.90630779
+10,RC_nd1,432,Cubic_High m-3m,{011},0.90630779,-0.42261826
+10,RC_nd1,432,Cubic_High m-3m,{011},0.90630779,-0.42261826
+10,RC_nd1,432,Cubic_High m-3m,{111},-0.46913943,0.21876331
+10,RC_nd1,432,Cubic_High m-3m,{111},-0.46913943,0.21876331
+10,RC_nd1,432,Cubic_High m-3m,{111},-0.21876331,-0.46913943
+10,RC_nd1,432,Cubic_High m-3m,{111},-0.21876331,-0.46913943
+10,RC_nd1,432,Cubic_High m-3m,{111},0.21876331,0.46913943
+10,RC_nd1,432,Cubic_High m-3m,{111},0.21876331,0.46913943
+10,RC_nd1,432,Cubic_High m-3m,{111},0.46913943,-0.21876331
+10,RC_nd1,432,Cubic_High m-3m,{111},0.46913943,-0.21876331
+10,RC_nd1,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+10,RC_nd1,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+10,RC_nd1,23,Cubic_Low m-3,{001},0.34202014,-0.93969262
+10,RC_nd1,23,Cubic_Low m-3,{001},0.34202014,-0.93969262
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+10,RC_nd1,3,Trigonal_Low -3,{2-1-10},0.76604444,-0.64278761
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+10,RC_nd1,422,Tetragonal_High 4/mmm,{110},0.42261826,0.90630779
+10,RC_nd1,422,Tetragonal_High 4/mmm,{110},0.90630779,-0.42261826
+10,RC_nd1,422,Tetragonal_High 4/mmm,{110},0.90630779,-0.42261826
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+11,RC_nd2,432,Cubic_High m-3m,{011},-0.33930389,-0.23758314
+11,RC_nd2,432,Cubic_High m-3m,{011},-0.33930389,-0.23758314
+11,RC_nd2,432,Cubic_High m-3m,{011},-0.23758314,0.33930389
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+11,RC_nd2,432,Cubic_High m-3m,{011},0.17364818,0.98480775
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+11,RC_nd2,432,Cubic_High m-3m,{011},0.33930389,0.23758314
+11,RC_nd2,432,Cubic_High m-3m,{011},0.33930389,0.23758314
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+11,RC_nd2,432,Cubic_High m-3m,{111},-0.50977400,0.08988691
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+11,RC_nd2,432,Cubic_High m-3m,{111},-0.08988691,-0.50977400
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+11,RC_nd2,432,Cubic_High m-3m,{111},0.08988691,0.50977400
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+11,RC_nd2,23,Cubic_Low m-3,{001},-0.00000000,-0.00000000
+11,RC_nd2,23,Cubic_Low m-3,{001},0.57357644,-0.81915204
+11,RC_nd2,23,Cubic_Low m-3,{001},0.57357644,-0.81915204
+11,RC_nd2,23,Cubic_Low m-3,{001},0.81915204,0.57357644
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+11,RC_nd2,23,Cubic_Low m-3,{011},-0.33930389,-0.23758314
+11,RC_nd2,23,Cubic_Low m-3,{011},-0.33930389,-0.23758314
+11,RC_nd2,23,Cubic_Low m-3,{011},-0.23758314,0.33930389
+11,RC_nd2,23,Cubic_Low m-3,{011},-0.23758314,0.33930389
+11,RC_nd2,23,Cubic_Low m-3,{011},0.17364818,0.98480775
+11,RC_nd2,23,Cubic_Low m-3,{011},0.17364818,0.98480775
+11,RC_nd2,23,Cubic_Low m-3,{011},0.23758314,-0.33930389
+11,RC_nd2,23,Cubic_Low m-3,{011},0.23758314,-0.33930389
+11,RC_nd2,23,Cubic_Low m-3,{011},0.33930389,0.23758314
+11,RC_nd2,23,Cubic_Low m-3,{011},0.33930389,0.23758314
+11,RC_nd2,23,Cubic_Low m-3,{011},0.98480775,-0.17364818
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+11,RC_nd2,23,Cubic_Low m-3,{111},-0.50977400,0.08988691
+11,RC_nd2,23,Cubic_Low m-3,{111},-0.50977400,0.08988691
+11,RC_nd2,23,Cubic_Low m-3,{111},-0.08988691,-0.50977400
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+11,RC_nd2,23,Cubic_Low m-3,{111},0.08988691,0.50977400
+11,RC_nd2,23,Cubic_Low m-3,{111},0.50977400,-0.08988691
+11,RC_nd2,23,Cubic_Low m-3,{111},0.50977400,-0.08988691
+11,RC_nd2,622,Hexagonal_High 6/mmm,{0001},0.00000000,0.00000000
+11,RC_nd2,622,Hexagonal_High 6/mmm,{0001},-0.00000000,-0.00000000
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},-0.42261826,-0.90630779
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},-0.42261826,-0.90630779
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},0.57357644,-0.81915204
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},0.57357644,-0.81915204
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},0.99619470,0.08715574
+11,RC_nd2,622,Hexagonal_High 6/mmm,{10-10},0.99619470,0.08715574
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},-0.81915204,-0.57357644
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},-0.81915204,-0.57357644
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},0.08715574,-0.99619470
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},0.08715574,-0.99619470
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},0.90630779,-0.42261826
+11,RC_nd2,622,Hexagonal_High 6/mmm,{11-20},0.90630779,-0.42261826
+11,RC_nd2,6,Hexagonal_Low 6/m,{0001},0.00000000,0.00000000
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+11,RC_nd2,6,Hexagonal_Low 6/m,{10-10},0.57357644,-0.81915204
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+11,RC_nd2,6,Hexagonal_Low 6/m,{11-20},0.08715574,-0.99619470
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+11,RC_nd2,32,Trigonal_High -3m,{0-110},-0.42261826,-0.90630779
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+11,RC_nd2,32,Trigonal_High -3m,{0-110},0.99619470,0.08715574
+11,RC_nd2,32,Trigonal_High -3m,{0-110},0.99619470,0.08715574
+11,RC_nd2,32,Trigonal_High -3m,{1-100},-0.99619470,-0.08715574
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+11,RC_nd2,32,Trigonal_High -3m,{1-100},0.57357644,-0.81915204
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+11,RC_nd2,32,Trigonal_High -3m,{1-100},0.99619470,0.08715574
+11,RC_nd2,3,Trigonal_Low -3,{0001},0.00000000,0.00000000
+11,RC_nd2,3,Trigonal_Low -3,{0001},-0.00000000,-0.00000000
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},-0.81915204,-0.57357644
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},-0.81915204,-0.57357644
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},0.08715574,-0.99619470
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},0.08715574,-0.99619470
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},0.90630779,-0.42261826
+11,RC_nd2,3,Trigonal_Low -3,{-1-120},0.90630779,-0.42261826
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},-0.81915204,-0.57357644
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},-0.81915204,-0.57357644
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},0.08715574,-0.99619470
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},0.08715574,-0.99619470
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},0.90630779,-0.42261826
+11,RC_nd2,3,Trigonal_Low -3,{2-1-10},0.90630779,-0.42261826
+11,RC_nd2,422,Tetragonal_High 4/mmm,{001},-0.00000000,-0.00000000
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+11,RC_nd2,422,Tetragonal_High 4/mmm,{100},-0.81915204,-0.57357644
+11,RC_nd2,422,Tetragonal_High 4/mmm,{100},-0.57357644,0.81915204
+11,RC_nd2,422,Tetragonal_High 4/mmm,{100},0.57357644,-0.81915204
+11,RC_nd2,422,Tetragonal_High 4/mmm,{100},0.81915204,0.57357644
+11,RC_nd2,422,Tetragonal_High 4/mmm,{110},-0.17364818,-0.98480775
+11,RC_nd2,422,Tetragonal_High 4/mmm,{110},0.17364818,0.98480775
+11,RC_nd2,422,Tetragonal_High 4/mmm,{110},0.98480775,-0.17364818
+11,RC_nd2,422,Tetragonal_High 4/mmm,{110},0.98480775,-0.17364818
+11,RC_nd2,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+11,RC_nd2,4,Tetragonal_Low 4/m,{001},-0.00000000,-0.00000000
+11,RC_nd2,4,Tetragonal_Low 4/m,{100},-0.81915204,-0.57357644
+11,RC_nd2,4,Tetragonal_Low 4/m,{100},-0.57357644,0.81915204
+11,RC_nd2,4,Tetragonal_Low 4/m,{100},0.57357644,-0.81915204
+11,RC_nd2,4,Tetragonal_Low 4/m,{100},0.81915204,0.57357644
+11,RC_nd2,4,Tetragonal_Low 4/m,{110},-0.98480775,0.17364818
+11,RC_nd2,4,Tetragonal_Low 4/m,{110},-0.17364818,-0.98480775
+11,RC_nd2,4,Tetragonal_Low 4/m,{110},0.17364818,0.98480775
+11,RC_nd2,4,Tetragonal_Low 4/m,{110},0.98480775,-0.17364818
+11,RC_nd2,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+11,RC_nd2,222,OrthoRhombic mmm,{001},-0.00000000,-0.00000000
+11,RC_nd2,222,OrthoRhombic mmm,{100},-0.81915204,-0.57357644
+11,RC_nd2,222,OrthoRhombic mmm,{100},0.81915204,0.57357644
+11,RC_nd2,222,OrthoRhombic mmm,{010},-0.57357644,0.81915204
+11,RC_nd2,222,OrthoRhombic mmm,{010},0.57357644,-0.81915204
+11,RC_nd2,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+11,RC_nd2,2,Monoclinic 2/m,{001},-0.00000000,-0.00000000
+11,RC_nd2,2,Monoclinic 2/m,{100},-0.81915204,-0.57357644
+11,RC_nd2,2,Monoclinic 2/m,{100},0.81915204,0.57357644
+11,RC_nd2,2,Monoclinic 2/m,{010},-0.57357644,0.81915204
+11,RC_nd2,2,Monoclinic 2/m,{010},0.57357644,-0.81915204
+11,RC_nd2,1,Triclinic -1,{001},-0.00000000,-0.00000000
+11,RC_nd2,1,Triclinic -1,{001},-0.00000000,-0.00000000
+11,RC_nd2,1,Triclinic -1,{100},-0.81915204,-0.57357644
+11,RC_nd2,1,Triclinic -1,{100},0.81915204,0.57357644
+11,RC_nd2,1,Triclinic -1,{010},-0.57357644,0.81915204
+11,RC_nd2,1,Triclinic -1,{010},0.57357644,-0.81915204
diff --git a/Docs/Index.md b/Docs/Index.md
index e669fea4..e58490e7 100644
--- a/Docs/Index.md
+++ b/Docs/Index.md
@@ -1,6 +1,6 @@
 # Various Bits of Documentation for EbsdLib
 
-EbsdLib is primarily used in the [DREAM3D](https://www.dream3d.io) family of applications and libraries.
+EbsdLib is primarily used in the [DREAM3D](https://www.bluequartz.net) family of applications and libraries.
 
 ## Rotation Point Groups
 
@@ -9,11 +9,17 @@ URL is [http://pajarito.materials.cmu.edu/lectures/L3-OD_symmetry-21Jan16-slide_
 
 ## Hexagonal Cartesian Conventions: X‖a vs X‖a*
 
-EbsdLib v3 aligned its hexagonal and trigonal direction conventions to `X‖a*`, matching
+EbsdLib v3.0 aligned its hexagonal and trigonal direction conventions to `X‖a*`, matching
 MTEX and Oxford Instruments / HKL acquisition systems. (EDAX/TSL/OIM Analysis use the
 other convention, `X‖a`.) The 30° rotation between the two conventions is what caused
 the original `(10-10)` and `(2-1-10)` pole-figure mismatches before the v3 changes.
 
+**As of 3.1.0 the public default is `X‖a` (TSL/EDAX)**, matching legacy DREAM3D and the
+rest of EbsdLib. The internal canonical SymOps tables remain `X‖a*` (MTEX-validated); only
+the *default* selected by the IPF/pole-figure APIs and config structs changed. IPF colors
+are convention-invariant — only pole-figure positions and the legend / pole-figure family
+labels follow the basis.
+
 ![X parallel a-star convention](x_parallel_a_star_convention.svg)
 
 Position-space validation across all 11 Laue classes lives in
@@ -21,6 +27,108 @@ Position-space validation across all 11 Laue classes lives in
 
 ---
 
+# Release Notes — EbsdLib 3.1.0
+
+EbsdLib 3.1 is the "discrete pole figures + TSL-by-default" release. It builds
+on the 3.0 MTEX-correctness work with a new vector-marker pole-figure renderer
+and a switch of the public default hexagonal/trigonal basis back to `X‖a`
+(TSL/EDAX). The two themes:
+
+1. **Discrete (vector-marker) pole figures.** A new renderer draws each pole as
+   a crisp, decimated vector marker instead of rasterizing it as pixels —
+   sharper figures, controllable marker size, and a hard cap on overdraw for
+   million-pole datasets.
+2. **`X‖a` (TSL) is the default convention again.** 3.0 shipped `X‖a*` (MTEX) as
+   the public default; 3.1 returns the default to `X‖a` to match legacy DREAM3D
+   and the rest of EbsdLib. The internal canonical tables are unchanged
+   (`X‖a*`); only the default the public APIs/structs select changed.
+
+Detailed API reference: [`v3_api_reference.md`](v3_api_reference.md).
+
+## Breaking changes
+
+### Default hexagonal/trigonal convention is now `X‖a` (TSL)
+
+The default value of `HexConvention` flipped from `XParallelAStar` (3.0) to
+`XParallelA` (3.1) in every public surface that selects it:
+
+- `LaueOps::generateIPFTriangleLegend(...)` — the `conv` parameter, which was
+  **required** in 3.0, now defaults to `ebsdlib::HexConvention::XParallelA`.
+- `PoleFigureConfiguration_t::hexConvention` — now defaults to `XParallelA`.
+- `CompositePoleFigureConfiguration_t::hexConvention` — now defaults to `XParallelA`.
+- `InversePoleFigureConfiguration_t::hexConvention` — now defaults to `XParallelA`
+  (affects only the SST label annotation; IPF colors are convention-invariant).
+
+Effect: hexagonal/trigonal **pole-figure positions** and **legend/family labels**
+render in the TSL basis by default. IPF *colors* are unaffected (convention-
+invariant). Callers that want the 3.0 behavior must now pass
+`HexConvention::XParallelAStar` explicitly (e.g. to compare side-by-side with
+MTEX). Cubic / tetragonal / orthorhombic / monoclinic / triclinic are unaffected.
+
+### Pole-figure family labels: brace notation, convention-independent
+
+`getDefaultPoleFigureNames()` now returns **plane-family brace notation** —
+`{0001}`, `{10-10}`, `{11-20}`, `{001}`, `{011}`, `{111}`, etc. — for every
+Laue class, and the labels are **identical under both conventions**. The 3.0
+behavior of switching the hexagonal a-family label (`<10-10>` ↔ `<2-1-10>`) with
+the convention is removed; both conventions now report `{11-20}` for that family
+(the family identity is convention-independent; only the on-figure dot positions
+rotate by 30°). Downstream code that parsed the old angle-bracket strings, or
+that relied on the per-convention label switch, must update.
+
+### Rendered-figure differences
+
+Pole figures now render **+Y-up** by default (`flipFinalImage`), and discrete
+figures use the vector-marker renderer rather than per-pixel stamping. Output is
+not byte-identical to 3.0. Any pixel-level exemplars pinned against 3.0 pole
+figures must be regenerated.
+
+## New features
+
+### Discrete vector-marker pole figure renderer
+
+- `DiscretePoleFigureCompositor` renders discrete pole figures by stamping
+  opaque marker sprites, with a `MarkerOccupancyGrid` that decimates
+  overlapping markers (bounded overdraw for >1M-pole inputs).
+- `ebsdlib::GeneratePoleFigureComposite(config)` is the dispatch entry point:
+  it routes `discrete && !discreteHeatMap` figures to the vector-marker
+  renderer and everything else to the raster `PoleFigureCompositor`. Prefer
+  this over calling a compositor directly.
+- `CompositePoleFigureConfiguration_t` gained a `DiscreteMarkerStyle`
+  (`markerStyle.radiusFraction`) to control marker size.
+- `StereographicProjectUpperHemisphere(...)` projection helper.
+- Shared title / axis / info-block chrome extracted into a reusable
+  `PoleFigureChrome` module.
+
+### IPF legends annotate their convention
+
+Hexagonal and trigonal IPF triangle legends now print a small
+`Convention: X||a (TSL)` (or `X||a* (MTEX/Oxford)`) sub-line under the title,
+so a legend is self-documenting. Non-hex/trig classes are unchanged.
+
+## Apps that changed
+
+| App | Status |
+| --- | ------ |
+| `generate_ipf_legends` | defaults to `X‖a`; prints the absolute output directory at start/finish; regenerates the per-class legend + pole-figure matrix as PNG |
+| `render_ebsd` | `--convention` now defaults to `x_a` (TSL) |
+
+## Validation evidence
+
+- **Strict IPF-color corners.** `LaueOpsTest::IPFColor_SSTCorners` asserts the
+  standard-stereographic-triangle corners render as pure primaries for **every**
+  Laue class: apex (`[0001]`/`[001]`) = red, η-min edge = green, η-max edge =
+  blue (exact primaries for cubic and hex 6/mmm; dominant-channel just inside the
+  edge for the wider-wedge classes, which sit on a fold boundary).
+- **Discrete-render performance guard.** A hidden test renders a >1M-pole
+  discrete figure to bound decimation cost.
+- **MTEX positions still validated.** `PoleFigurePositionTest` continues to pass
+  against the MTEX golden (`X‖a*`). `PoleFigureLaueComparisonTest` now routes
+  through `GeneratePoleFigureComposite` (vector markers) and pins `X‖a*` locally
+  to stay aligned with its MTEX comparison script.
+
+---
+
 # Release Notes — EbsdLib 3.0.0
 
 EbsdLib 3.0 is the "MTEX-compatible pole figures and IPF coloring" release.
diff --git a/Docs/v3_api_reference.md b/Docs/v3_api_reference.md
index 6f8c417d..0f109c85 100644
--- a/Docs/v3_api_reference.md
+++ b/Docs/v3_api_reference.md
@@ -1,10 +1,17 @@
 # EbsdLib v3 API Reference (LaueOps + supporting types)
 
-This is a hand-written reference for the public LaueOps surface as of
-v3.0.0, focused on the symbols that changed in v3. The full Doxygen
-header documentation is the source of truth for the per-parameter
-contracts; this file gives the high-level picture and the cross-references
-between symbols.
+This is a hand-written reference for the public LaueOps surface and the
+pole-figure rendering API as of v3.1.0, focused on the symbols that changed
+across the v3 line. The full Doxygen header documentation is the source of
+truth for the per-parameter contracts; this file gives the high-level
+picture and the cross-references between symbols.
+
+**v3.1.0 deltas** (called out inline below): the public default hex/trig
+convention flipped from `XParallelAStar` back to `XParallelA` (TSL);
+`getDefaultPoleFigureNames` now returns convention-independent brace-notation
+labels; `generateIPFTriangleLegend`'s base-virtual `conv` parameter gained a
+default; and a discrete vector-marker pole-figure renderer
+(`GeneratePoleFigureComposite` + `DiscretePoleFigureCompositor`) was added.
 
 For the release-notes view (what changed, why, and migration recipes), see
 [`Index.md`](Index.md).
@@ -130,7 +137,7 @@ virtual UInt8ArrayType::Pointer generateIPFTriangleLegend(
 
 - `imageDim` — square canvas size in pixels.
 - `generateEntirePlane=true` renders the full unit circle; `false` renders just the SST (the standard view).
-- `conv` — no default on the base virtual. Hex/trig overrides honor it (legend labels and basal-plane direction tables shuffle); non-hex/trig overrides ignore it.
+- `conv` — **v3.1.0:** the base virtual now defaults this to `XParallelA` (it had no default in v3.0). Hex/trig overrides default to `XParallelA`; non-hex/trig overrides default to `NotApplicable` and ignore the parameter. Hex/trig overrides honor it (basal-plane direction tables shuffle, and the legend draws a convention sub-line under the title).
 - `kind` — picks the per-class color key. Defaults to TSL.
 - `gridded=true` wraps the selected key in a `GriddedColorKey` (~1° eta × chi resolution) to produce MTEX-style flat-shaded cells. Only meaningful for legends.
 
@@ -149,7 +156,7 @@ virtual void generateSphereCoordsFromEulers(
 
 - `c1`, `c2`, `c3` receive one normalized direction per orientation per symmetry-equivalent pole, for plane families 0, 1, 2 respectively.
 - For cubic/tet/ortho/mono/triclinic, the three families are convention-invariant and `conv` is ignored.
-- For hex 6/mmm and 6/m, `conv` selects whether plane families 1 and 2 are the `X‖a*` basis (`<10-10>` and `<11-20>`) or the `X‖a` basis (the same families rotated 30°).
+- For hex 6/mmm and 6/m, `conv` selects whether plane families 1 and 2 are the `X‖a*` basis (`{10-10}` and `{11-20}` sitting at azimuths 0/60/… and 30/90/…) or the `X‖a` basis (the same families rotated 30° about c). Both bases are position-validated against MTEX in `PoleFigurePositionTest` (one golden CSV per convention).
 
 ### Default pole-figure family labels
 
@@ -159,10 +166,16 @@ virtual std::array<std::string, 3> getDefaultPoleFigureNames(
 ```
 
 Returns the labels for the three default plane families EbsdLib renders.
-Hex/trig classes return *different* labels per convention; non-hex/trig
-classes return the same labels regardless. Always paired with a matching
-call to `generateSphereCoordsFromEulers(..., conv)` so the labels and the
-data agree.
+
+**v3.1.0:** labels are now **convention-independent** — the same
+brace-notation strings are returned for both conventions (e.g. hex returns
+`{0001}`, `{10-10}`, `{11-20}` regardless of `conv`). Previously the hex/trig
+classes returned *different* angle-bracket labels per convention; the
+brace-notation values were chosen because they are unambiguous in either
+basis. Only the rendered *positions* (from `generateSphereCoordsFromEulers`)
+differ between conventions, not the labels. The `conv` parameter is retained
+for API symmetry but no longer changes the returned strings. Still paired
+with `generateSphereCoordsFromEulers(..., conv)` so labels and data agree.
 
 ### Misorientation coloring (unchanged signature)
 
@@ -185,15 +198,115 @@ SymOps refactor.
   `LaueOps::generatePoleFigure()` and by the standalone family-emission
   renderer.
 - `ebsdlib::CompositePoleFigureConfiguration_t::hexConvention` — picked
-  up by `PoleFigureCompositor::generateCompositeImage()`. The simplnx
-  `WritePoleFigureFilter` learned to set this in v3.0; pre-v3 it was
-  silently default-constructed (PR 2g, commit `9395592`).
-- `ebsdlib::InversePoleFigureConfiguration_t::hexConvention` — added in
-  PR 2k.
-
-All three default to `XParallelAStar`. Callers that don't care should
-leave the default; the simplnx side exposes the choice as the
-`hex_convention_index` UI parameter.
+  up by `PoleFigureCompositor::generateCompositeImage()` and by the
+  discrete path. The simplnx `WritePoleFigureFilter` sets this for both the
+  intensity and composite configs.
+- `ebsdlib::InversePoleFigureConfiguration_t::hexConvention` — affects only
+  the SST label annotation (IPF colors are convention-invariant).
+
+**v3.1.0 default flip:** all three now default to **`XParallelA`** (TSL),
+down from `XParallelAStar` in v3.0. This is a behavioral change for any
+caller that default-constructed the config and rendered a hex/trig phase.
+The simplnx side exposes the choice as the `hex_convention_index` UI
+parameter and sets it explicitly, so it is unaffected.
+
+> **Migration:** to keep v3.0 (MTEX / `X‖a*`) pole figures, set
+> `config.hexConvention = ebsdlib::HexConvention::XParallelAStar` explicitly.
+> Colors and IPF maps are convention-invariant and need no change.
+
+---
+
+## Discrete vector-marker pole figures (new in v3.1.0)
+
+```cpp
+#include "EbsdLib/Utilities/PoleFigureCompositor.h"
+#include "EbsdLib/Utilities/DiscretePoleFigureCompositor.h"
+#include "EbsdLib/Utilities/PoleFigureProjection.h"
+```
+
+v3.0 rendered discrete pole figures by painting individual pixels, which
+aliased badly at the per-pole level. v3.1 adds a vector-marker renderer that
+draws each pole as a fully-opaque filled circle (anti-aliased sprite), plus a
+single dispatch entry point that routes a config to the right renderer.
+
+### Dispatch entry point
+
+```cpp
+EbsdLib_EXPORT CompositePoleFigureResult
+GeneratePoleFigureComposite(CompositePoleFigureConfiguration_t& config);
+```
+
+The function callers should prefer. It inspects `config.discrete` /
+`config.discreteHeatMap` and dispatches:
+
+| `discrete` | `discreteHeatMap` | Renderer |
+| ---------- | ----------------- | -------- |
+| `false` | — | `PoleFigureCompositor` (Lambert-interpolated intensity heatmap) |
+| `true` | `false` | `DiscretePoleFigureCompositor` (vector markers) |
+| `true` | `true` | discrete heatmap (per-pole binned color) |
+
+Returns a `CompositePoleFigureResult { UInt8ArrayType::Pointer image; int32_t height; int32_t width; }`
+holding an RGBA image. `WritePoleFigure` (simplnx) and the `make_pole_figure`
+app both route through this.
+
+### `DiscretePoleFigureCompositor`
+
+```cpp
+class EbsdLib_EXPORT DiscretePoleFigureCompositor
+{
+public:
+  CompositePoleFigureResult generateCompositeImage(CompositePoleFigureConfiguration_t& config);
+};
+```
+
+Non-copyable, non-movable, stateless per call. Reads
+`config.hexConvention` (via `generateSphereCoordsFromEulers`) and
+`config.markerStyle`, and uses a `MarkerOccupancyGrid` to decimate
+overlapping markers so dense clusters stay legible.
+
+### `DiscreteMarkerStyle`
+
+```cpp
+struct EbsdLib_EXPORT DiscreteMarkerStyle
+{
+  std::array<float, 3> color = {0.0f, 0.0f, 0.0f}; ///< marker RGB, default black (opaque)
+  float radiusFraction = 0.006f;                   ///< radius as a fraction of figure diameter (imageDim)
+};
+```
+
+A field on `CompositePoleFigureConfiguration_t` (`markerStyle`). simplnx
+exposes `radiusFraction` as a user parameter.
+
+### `StereographicProjectUpperHemisphere`
+
+```cpp
+EbsdLib_EXPORT std::array<float, 2>
+StereographicProjectUpperHemisphere(float x, float y, float z);
+```
+
+Upper-hemisphere stereographic projection helper (antipodal fold for `z<0`,
+then `x/(1+z)`, `y/(1+z)`) — the same rule the MTEX validation goldens use.
+Factored out so the discrete and raster paths project identically.
+
+### `PoleFigureChrome`
+
+```cpp
+#include "EbsdLib/Utilities/PoleFigureChrome.h"
+```
+
+Free functions that draw the shared chrome (background, title, info block,
+circular frame + axis labels) for both the raster and discrete paths, so the
+two renderers are visually consistent:
+
+```cpp
+void DrawPoleFigureBackground(canvas_ity::canvas&, const LayoutMetrics&);
+void DrawPoleFigureTitle(canvas_ity::canvas&, const std::string& title, ...);
+void DrawPoleFigureInfoBlock(canvas_ity::canvas&, const CompositePoleFigureConfiguration_t&, ...);
+void DrawPoleFigureFrame(canvas_ity::canvas&, const CompositePoleFigureConfiguration_t&, ...);
+```
+
+The subtitle/info block converts brace-notation family labels (`{10-10}`) to
+parenthesized form for display.
 
 ---
 
diff --git a/README.md b/README.md
index 194c6c67..a43f11c3 100644
--- a/README.md
+++ b/README.md
@@ -24,7 +24,7 @@ fundamental-zone reduction, **Inverse Pole Figure (IPF) coloring**,
 
 It is the crystallographic engine behind the
 [DREAM.3D](https://dream3d.bluequartz.net) and
-[DREAM3D-NX](https://www.dream3d.io) projects.
+[DREAM3D-NX](https://www.bluequartz.net) projects.
 
 ## Features
 
diff --git a/Source/Apps/SourceList.cmake b/Source/Apps/SourceList.cmake
index 5cec6620..4a31c8b8 100644
--- a/Source/Apps/SourceList.cmake
+++ b/Source/Apps/SourceList.cmake
@@ -76,17 +76,17 @@ set_target_properties(ParseAztecProject PROPERTIES FOLDER EbsdLib_Applications)
 
 if(EbsdLib_INSTALL_FILES)
   install(FILES
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Cubic m-3 (Th)/Cubic m-3 (Th).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Cubic m-3m (Oh)/Cubic m-3m (Oh).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Hexagonal 6_m (C6h)/Hexagonal 6_m (C6h).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Hexagonal 6_mmm (D6h)/Hexagonal 6_mmm (D6h).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Monoclinic 2_m (C2h)/Monoclinic 2_m (C2h).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Orthorhombic mmm (D2h)/Orthorhombic mmm (D2h).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Tetragonal 4_m (C4h)/Tetragonal 4_m (C4h).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Tetragonal 4_mmm (D4h)//Tetragonal 4_mmm (D4h).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Triclinic -1 (Ci)/Triclinic -1 (Ci).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Trigonal -3 (C3i)/Trigonal -3 (C3i).tiff"
-    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Trigonal -3m (D3d)/Trigonal -3m (D3d).tiff"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Cubic m-3 (Th)/Cubic m-3 (Th).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Cubic m-3m (Oh)/Cubic m-3m (Oh).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Hexagonal 6_m (C6h)/Hexagonal 6_m (C6h).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Hexagonal 6_mmm (D6h)/Hexagonal 6_mmm (D6h).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Monoclinic 2_m (C2h)/Monoclinic 2_m (C2h).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Orthorhombic mmm (D2h)/Orthorhombic mmm (D2h).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Tetragonal 4_m (C4h)/Tetragonal 4_m (C4h).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Tetragonal 4_mmm (D4h)//Tetragonal 4_mmm (D4h).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Triclinic -1 (Ci)/Triclinic -1 (Ci).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Trigonal -3 (C3i)/Trigonal -3 (C3i).png"
+    "${EbsdLibProj_SOURCE_DIR}/Data/IPF_Legend/Trigonal -3m (D3d)/Trigonal -3m (D3d).png"
     DESTINATION share/EbsdLib/Data
     COMPONENT Headers
   )
diff --git a/Source/Apps/generate_ipf_density.cpp b/Source/Apps/generate_ipf_density.cpp
index 61f48e9f..5bb83c41 100644
--- a/Source/Apps/generate_ipf_density.cpp
+++ b/Source/Apps/generate_ipf_density.cpp
@@ -174,7 +174,7 @@ void generateIPFForLaueClass(const LaueOps& ops, ebsdlib::FloatArrayType* eulers
   config.numColors = 64;
   config.colorMap = "Default";
   config.normalizeMRD = true;
-  config.labels = {"RD", "TD", "ND"};
+  config.labels = {"A1", "A2", "A3"};
   config.phaseName = className;
   config.FlipFinalImage = false;
 
@@ -191,11 +191,10 @@ void generateIPFForLaueClass(const LaueOps& ops, ebsdlib::FloatArrayType* eulers
   }
 
   int canvasDim = static_cast<int>(static_cast<float>(imageWidth) * 1.5f);
-  std::array<std::string, 3> dirLabels = {"RD", "TD", "ND"};
   for(size_t i = 0; i < images.size(); i++)
   {
     std::ostringstream filePath;
-    filePath << outputDir << "/" << safeName << "_IPF_" << dirLabels[i] << "_" << textureLabel << ".png";
+    filePath << outputDir << "/" << safeName << "_IPF_" << config.labels[i] << "_" << textureLabel << ".png";
     auto result = PngWriter::WriteColorImage(filePath.str(), canvasDim, canvasDim, 3, images[i]->data());
     if(result.first < 0)
     {
diff --git a/Source/Apps/generate_ipf_from_file.cpp b/Source/Apps/generate_ipf_from_file.cpp
index ce836b1b..1101fd56 100644
--- a/Source/Apps/generate_ipf_from_file.cpp
+++ b/Source/Apps/generate_ipf_from_file.cpp
@@ -84,7 +84,7 @@ void generateIPFForPhase(const LaueOps& ops, ebsdlib::FloatArrayType* eulers, co
   config.numColors = 64;
   config.colorMap = "Default";
   config.normalizeMRD = true;
-  config.labels = {"RD", "TD", "ND"};
+  config.labels = {"A1", "A2", "A3"};
   config.phaseName = phaseLabel;
   config.FlipFinalImage = false;
 
@@ -102,11 +102,10 @@ void generateIPFForPhase(const LaueOps& ops, ebsdlib::FloatArrayType* eulers, co
 
   // Images are RGB (3 components), canvasDim x canvasDim
   int canvasDim = static_cast<int>(static_cast<float>(imageWidth) * 1.5f);
-  std::array<std::string, 3> dirLabels = {"RD", "TD", "ND"};
   for(size_t i = 0; i < images.size(); i++)
   {
     std::ostringstream filePath;
-    filePath << outputDir << "/" << safeName << "_IPF_" << dirLabels[i] << ".png";
+    filePath << outputDir << "/" << safeName << "_IPF_" << config.labels[i] << ".png";
     auto result = PngWriter::WriteColorImage(filePath.str(), canvasDim, canvasDim, 3, images[i]->data());
     if(result.first < 0)
     {
diff --git a/Source/Apps/generate_ipf_legends.cpp b/Source/Apps/generate_ipf_legends.cpp
index 32b8a9c5..5a22a6b8 100644
--- a/Source/Apps/generate_ipf_legends.cpp
+++ b/Source/Apps/generate_ipf_legends.cpp
@@ -344,10 +344,11 @@ void GeneratePoleFigures(LaueOps& ops, int symType)
   // Read in the Quats File
   ConvertOrientations convertor;
   auto outputOrientations = convertor.execute(k_QuatsFilePath, "eulers_000_1_deg.csv", ",", "qu2eu", true);
-  auto poleFigureNames = ops.getDefaultPoleFigureNames(ebsdlib::HexConvention::XParallelAStar);
+  auto poleFigureNames = ops.getDefaultPoleFigureNames(ebsdlib::HexConvention::XParallelA);
 
   PoleFigureConfiguration_t config;
   config.eulers = outputOrientations.get();
+  config.hexConvention = ebsdlib::HexConvention::XParallelA; // TSL/EDAX
   config.imageDim = 512;
   config.lambertDim = 72;
   config.numColors = 32;
@@ -423,7 +424,7 @@ void GenerateNolzeHielscherLegends(int imageDim)
     std::string symName = EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_");
 
     // Generate full-circle NH legend
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar, ebsdlib::ColorKeyKind::NolzeHielscher, /*gridded=*/false);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA, ebsdlib::ColorKeyKind::NolzeHielscher, /*gridded=*/false);
     std::stringstream ss;
     ss << k_Output_Dir << "/" << symName << "/" << symName << "_NH_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
@@ -431,7 +432,7 @@ void GenerateNolzeHielscherLegends(int imageDim)
 
     // Generate triangle-only NH legend, cropped per-class to match the TSL
     // smooth output dimensions (see sstSmoothCropFor() at the top of this file).
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar, ebsdlib::ColorKeyKind::NolzeHielscher, /*gridded=*/false);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA, ebsdlib::ColorKeyKind::NolzeHielscher, /*gridded=*/false);
     {
       SstCropRect crop{};
       int outW = imageDim;
@@ -452,13 +453,13 @@ void GenerateNolzeHielscherLegends(int imageDim)
 
     // Generate gridded NH legends (MTEX-style flat shading, 2000x2000)
     constexpr int k_GriddedImageDim = 2000;
-    legend = ops.generateIPFTriangleLegend(k_GriddedImageDim, true, ebsdlib::HexConvention::XParallelAStar, ebsdlib::ColorKeyKind::NolzeHielscher, /*gridded=*/true);
+    legend = ops.generateIPFTriangleLegend(k_GriddedImageDim, true, ebsdlib::HexConvention::XParallelA, ebsdlib::ColorKeyKind::NolzeHielscher, /*gridded=*/true);
     ss.str("");
     ss << k_Output_Dir << "/" << symName << "/" << symName << "_NH_GRIDDED_FULL.png";
     result = PngWriter::WriteColorImage(ss.str(), k_GriddedImageDim, k_GriddedImageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " NH Gridded Full Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(k_GriddedImageDim, false, ebsdlib::HexConvention::XParallelAStar, ebsdlib::ColorKeyKind::NolzeHielscher, /*gridded=*/true);
+    legend = ops.generateIPFTriangleLegend(k_GriddedImageDim, false, ebsdlib::HexConvention::XParallelA, ebsdlib::ColorKeyKind::NolzeHielscher, /*gridded=*/true);
     ss.str("");
     ss << k_Output_Dir << "/" << symName << "/" << symName << "_NH_GRIDDED.png";
     result = PngWriter::WriteColorImage(ss.str(), k_GriddedImageDim, k_GriddedImageDim, 3, legend->getPointer(0));
@@ -470,13 +471,13 @@ void GenerateNolzeHielscherLegends(int imageDim)
     // key, so there's no external apples-to-apples reference. The Edax
     // exemplars at /Users/Shared/Data/Edax_IPF_Test/IPF\ PUCM.bmp are the
     // only third-party PUCM reference we know of.
-    legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar, ebsdlib::ColorKeyKind::PUCM, /*gridded=*/false);
+    legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA, ebsdlib::ColorKeyKind::PUCM, /*gridded=*/false);
     ss.str("");
     ss << k_Output_Dir << "/" << symName << "/" << symName << "_PUCM_FULL.png";
     result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " PUCM Full Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar, ebsdlib::ColorKeyKind::PUCM, /*gridded=*/false);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA, ebsdlib::ColorKeyKind::PUCM, /*gridded=*/false);
     {
       SstCropRect crop{};
       int outW = imageDim;
@@ -495,13 +496,13 @@ void GenerateNolzeHielscherLegends(int imageDim)
       std::cout << ops.getSymmetryName() << " PUCM Triangle Result: " << result.first << ": " << result.second << std::endl;
     }
 
-    legend = ops.generateIPFTriangleLegend(k_GriddedImageDim, true, ebsdlib::HexConvention::XParallelAStar, ebsdlib::ColorKeyKind::PUCM, /*gridded=*/true);
+    legend = ops.generateIPFTriangleLegend(k_GriddedImageDim, true, ebsdlib::HexConvention::XParallelA, ebsdlib::ColorKeyKind::PUCM, /*gridded=*/true);
     ss.str("");
     ss << k_Output_Dir << "/" << symName << "/" << symName << "_PUCM_GRIDDED_FULL.png";
     result = PngWriter::WriteColorImage(ss.str(), k_GriddedImageDim, k_GriddedImageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " PUCM Gridded Full Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(k_GriddedImageDim, false, ebsdlib::HexConvention::XParallelAStar, ebsdlib::ColorKeyKind::PUCM, /*gridded=*/true);
+    legend = ops.generateIPFTriangleLegend(k_GriddedImageDim, false, ebsdlib::HexConvention::XParallelA, ebsdlib::ColorKeyKind::PUCM, /*gridded=*/true);
     ss.str("");
     ss << k_Output_Dir << "/" << symName << "/" << symName << "_PUCM_GRIDDED.png";
     result = PngWriter::WriteColorImage(ss.str(), k_GriddedImageDim, k_GriddedImageDim, 3, legend->getPointer(0));
@@ -522,17 +523,25 @@ int main(int argc, char* argv[])
     std::filesystem::create_directories(ss.str());
   }
 
+  const std::string outputRoot = std::filesystem::absolute(k_Output_Dir).string();
+  std::cout << "=====================================================================\n"
+            << " generate_ipf_legends\n"
+            << " Hex/Trig convention: X||a (TSL/EDAX)\n"
+            << " Output directory (one subfolder per Laue class):\n"
+            << "   " << outputRoot << "\n"
+            << "=====================================================================" << std::endl;
+
   std::stringstream ss;
   int imageDim = 1500;
   {
     TrigonalOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     int xStart = imageDim * 0.05F;
     int yStart = 0;
     int numCols = imageDim * 0.75F;
@@ -560,13 +569,13 @@ int main(int argc, char* argv[])
 
   {
     TriclinicOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << ".png";
     result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
@@ -589,13 +598,13 @@ int main(int argc, char* argv[])
 
   {
     MonoclinicOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     int yCropped = imageDim * 0.6F;
     legend = ebsdlib::CropRGBImage<uint8_t>(legend, imageDim, imageDim, 0, 0, imageDim, yCropped);
     ss.str("");
@@ -621,13 +630,13 @@ int main(int argc, char* argv[])
   {
     CubicLowOps ops;
 
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << ".png";
     result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
@@ -650,13 +659,13 @@ int main(int argc, char* argv[])
 
   {
     CubicOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
 
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " Result: " << result.first << ": " << result.second << std::endl;
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << ".png";
     result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
@@ -679,7 +688,7 @@ int main(int argc, char* argv[])
 
   {
     OrthoRhombicOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
@@ -689,7 +698,7 @@ int main(int argc, char* argv[])
     int yStart = 0;
     int numCols = imageDim * 0.78F;
     int numRows = imageDim * 0.6F;
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     legend = ebsdlib::CropRGBImage<uint8_t>(legend, imageDim, imageDim, xStart, yStart, numCols, numRows);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << ".png";
@@ -713,7 +722,7 @@ int main(int argc, char* argv[])
 
   {
     TetragonalOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
 
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
@@ -724,7 +733,7 @@ int main(int argc, char* argv[])
     int yStart = 0;
     int numCols = imageDim * 0.78F;
     int numRows = imageDim * 0.6F;
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     legend = ebsdlib::CropRGBImage<uint8_t>(legend, imageDim, imageDim, xStart, yStart, numCols, numRows);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << ".png";
@@ -748,13 +757,13 @@ int main(int argc, char* argv[])
 
   {
     TetragonalLowOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     int xStart = imageDim * 0.10F;
     int yStart = 0;
     int numCols = imageDim * 0.70F;
@@ -782,13 +791,13 @@ int main(int argc, char* argv[])
 
   {
     HexagonalOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     int xStart = imageDim * 0.10F;
     int yStart = 0;
     int numCols = imageDim * 0.80F;
@@ -816,13 +825,13 @@ int main(int argc, char* argv[])
 
   {
     HexagonalLowOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     int xStart = imageDim * 0.10F;
     int yStart = 0;
     int numCols = imageDim * 0.70F;
@@ -850,13 +859,13 @@ int main(int argc, char* argv[])
 
   {
     TrigonalLowOps ops;
-    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelAStar);
+    auto legend = ops.generateIPFTriangleLegend(imageDim, true, ebsdlib::HexConvention::XParallelA);
     ss.str("");
     ss << k_Output_Dir << ops.getSymmetryName() << "/" << EbsdStringUtils::replace(ops.getSymmetryName(), "/", "_") << "_FULL.png";
     auto result = PngWriter::WriteColorImage(ss.str(), imageDim, imageDim, 3, legend->getPointer(0));
     std::cout << ops.getSymmetryName() << " Result: " << result.first << ": " << result.second << std::endl;
 
-    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelAStar);
+    legend = ops.generateIPFTriangleLegend(imageDim, false, ebsdlib::HexConvention::XParallelA);
     int xStart = imageDim * 0.00F;
     int yStart = 0;
     int numCols = imageDim * 0.90F;
@@ -884,5 +893,6 @@ int main(int argc, char* argv[])
 
   GenerateNolzeHielscherLegends(imageDim);
 
+  std::cout << "\nDone. All IPF legends and pole figures were written under:\n   " << outputRoot << std::endl;
   return 0;
 }
diff --git a/Source/Apps/make_pole_figure.cpp b/Source/Apps/make_pole_figure.cpp
index c5a63c24..ffe73f06 100644
--- a/Source/Apps/make_pole_figure.cpp
+++ b/Source/Apps/make_pole_figure.cpp
@@ -315,7 +315,7 @@ int main(int argc, char* argv[])
     config.title = pd.phaseName + " (" + op->getSymmetryName() + ")";
 
     auto pfNames = op->getDefaultPoleFigureNames(config.hexConvention);
-    config.labels = {pfNames[0], pfNames[1], pfNames[2]};
+    config.poleFigureNames = {pfNames[0], pfNames[1], pfNames[2]};
     config.order = {0, 1, 2};
 
     std::cout << std::endl;
diff --git a/Source/Apps/render_ebsd.cpp b/Source/Apps/render_ebsd.cpp
index 9c4a7f96..8e5f392a 100644
--- a/Source/Apps/render_ebsd.cpp
+++ b/Source/Apps/render_ebsd.cpp
@@ -16,7 +16,7 @@
  *
  * Usage:
  *   render_ebsd <input.ang|input.ctf> <output_dir>
- *               [--convention {x_a, x_astar}]            (default x_astar)
+ *               [--convention {x_a, x_astar}]            (default x_a)
  *               [--color-key  {tsl, pucm, nh}]           (default tsl)
  *               [--phase N]                              (default: all phases)
  *               [--ref-dir x,y,z]                        (default 0,0,1)
@@ -331,7 +331,7 @@ bool writePoleFigure(const Options& opts, PhaseScan& s, LaueOps::Pointer op, con
   config.hexConvention = opts.convention;
 
   auto names = op->getDefaultPoleFigureNames(opts.convention);
-  config.labels = {names[0], names[1], names[2]};
+  config.poleFigureNames = {names[0], names[1], names[2]};
   config.order = {0, 1, 2};
 
   PoleFigureCompositor compositor;
diff --git a/Source/Apps/render_ebsd.h b/Source/Apps/render_ebsd.h
index 1ca9c5b7..50993915 100644
--- a/Source/Apps/render_ebsd.h
+++ b/Source/Apps/render_ebsd.h
@@ -16,9 +16,9 @@ namespace ebsdlib::render_ebsd
 
 struct Options
 {
-  std::string inputFile; ///< .ang or .ctf path
-  std::string outputDir; ///< directory to write PNGs into (created if missing)
-  ebsdlib::HexConvention convention = ebsdlib::HexConvention::XParallelAStar;
+  std::string inputFile;                                                  ///< .ang or .ctf path
+  std::string outputDir;                                                  ///< directory to write PNGs into (created if missing)
+  ebsdlib::HexConvention convention = ebsdlib::HexConvention::XParallelA; // TSL/EDAX default
   ebsdlib::ColorKeyKind colorKey = ebsdlib::ColorKeyKind::TSL;
   int phaseFilter = -1;                             ///< -1 = render every indexed phase; otherwise only this phase index
   std::array<float, 3> refDir = {0.0F, 0.0F, 1.0F}; ///< Sample-frame reference direction for IPF map (default = +Z)
diff --git a/Source/EbsdLib/LaueOps/CubicLowOps.cpp b/Source/EbsdLib/LaueOps/CubicLowOps.cpp
index 575aed6a..b29ddd9f 100644
--- a/Source/EbsdLib/LaueOps/CubicLowOps.cpp
+++ b/Source/EbsdLib/LaueOps/CubicLowOps.cpp
@@ -805,7 +805,7 @@ ebsdlib::Rgb CubicLowOps::generateRodriguesColor(double r1, double r2, double r3
 // -----------------------------------------------------------------------------
 std::array<std::string, 3> CubicLowOps::getDefaultPoleFigureNames(ebsdlib::HexConvention conv) const
 {
-  return {"<001>", "<011>", "<111>"};
+  return {"{001}", "{011}", "{111}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/CubicOps.cpp b/Source/EbsdLib/LaueOps/CubicOps.cpp
index cd1a68f5..eb1f20bb 100644
--- a/Source/EbsdLib/LaueOps/CubicOps.cpp
+++ b/Source/EbsdLib/LaueOps/CubicOps.cpp
@@ -1731,7 +1731,7 @@ ebsdlib::Rgb CubicOps::generateRodriguesColor(double r1, double r2, double r3) c
 // -----------------------------------------------------------------------------
 std::array<std::string, 3> CubicOps::getDefaultPoleFigureNames(ebsdlib::HexConvention conv) const
 {
-  return {"<001>", "<011>", "<111>"};
+  return {"{001}", "{011}", "{111}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/HexagonalLowOps.cpp b/Source/EbsdLib/LaueOps/HexagonalLowOps.cpp
index 096ada38..bc24c4d8 100644
--- a/Source/EbsdLib/LaueOps/HexagonalLowOps.cpp
+++ b/Source/EbsdLib/LaueOps/HexagonalLowOps.cpp
@@ -1315,12 +1315,10 @@ ebsdlib::Rgb HexagonalLowOps::generateRodriguesColor(double r1, double r2, doubl
 // -----------------------------------------------------------------------------
 std::array<std::string, 3> HexagonalLowOps::getDefaultPoleFigureNames(ebsdlib::HexConvention conv) const
 {
-  // See HexagonalOps::getDefaultPoleFigureNames for the OIM/MTEX label rationale.
-  if(conv == ebsdlib::HexConvention::XParallelA)
-  {
-    return {"<0001>", "<10-10>", "<2-1-10>"};
-  }
-  return {"<0001>", "<10-10>", "<11-20>"};
+  // See HexagonalOps::getDefaultPoleFigureNames: the family identity does not
+  // depend on the X||a vs X||a* convention, so the labels are the same for both.
+  (void)conv;
+  return {"{0001}", "{10-10}", "{11-20}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/HexagonalLowOps.h b/Source/EbsdLib/LaueOps/HexagonalLowOps.h
index 5a3685d2..49f70737 100644
--- a/Source/EbsdLib/LaueOps/HexagonalLowOps.h
+++ b/Source/EbsdLib/LaueOps/HexagonalLowOps.h
@@ -259,8 +259,8 @@ class EbsdLib_EXPORT HexagonalLowOps : public LaueOps
    * @brief generateStandardTriangle Generates an RGBA array that is a color "Standard" IPF Triangle Legend used for IPF Color Maps.
    * @return
    */
-  ebsdlib::UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv, ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL,
-                                                             bool gridded = false) const override;
+  ebsdlib::UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv = ebsdlib::HexConvention::XParallelA,
+                                                             ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL, bool gridded = false) const override;
 
   bool mapPixelToSphereSST(int xPixel, int yPixel, int imageDim, std::array<float, 3>& sphereDir) const override;
 
diff --git a/Source/EbsdLib/LaueOps/HexagonalOps.cpp b/Source/EbsdLib/LaueOps/HexagonalOps.cpp
index 66922cfb..94557f49 100644
--- a/Source/EbsdLib/LaueOps/HexagonalOps.cpp
+++ b/Source/EbsdLib/LaueOps/HexagonalOps.cpp
@@ -238,11 +238,12 @@ struct SymOps
   //
   // Under X||a*, family-1's first member at (1, 0, 0) is the {10-10}
   // plane normal a*1, and family-2's first member at (cos30, sin30, 0)
-  // is the {2-1-10} direction. Under X||a, those Cartesian numbers
-  // change because the basis rotates 30° about c.
+  // is the {11-20} plane normal (the a-axis direction). Under X||a, those
+  // Cartesian numbers change because the basis rotates 30° about c, but the
+  // families themselves are unchanged.
   std::vector<ebsdlib::Matrix3X1D> dirsFamily0; // {0001} family
   std::vector<ebsdlib::Matrix3X1D> dirsFamily1; // {10-10} family
-  std::vector<ebsdlib::Matrix3X1D> dirsFamily2; // {2-1-10} family
+  std::vector<ebsdlib::Matrix3X1D> dirsFamily2; // {11-20} family (a-axis normals; == {2-1-10})
 
   template <ebsdlib::HexConvention Conv>
   static SymOps build()
@@ -1277,7 +1278,7 @@ class GenerateSphereCoordsImpl
       {
         emitDirAndAntipode(gTranspose, m_Sym->dirsFamily1[k], m_xyz011, i * f1Stride + k * 2);
       }
-      // {2-1-10} plane-normal family (3 unique under hex 6/mmm), offset 30° from {10-10}.
+      // {11-20} plane-normal family (3 unique under hex 6/mmm), offset 30° from {10-10}.
       for(size_t k = 0; k < m_Sym->dirsFamily2.size(); ++k)
       {
         emitDirAndAntipode(gTranspose, m_Sym->dirsFamily2[k], m_xyz111, i * f2Stride + k * 2);
@@ -1384,18 +1385,16 @@ ebsdlib::Rgb HexagonalOps::generateRodriguesColor(double r1, double r2, double r
 // -----------------------------------------------------------------------------
 std::array<std::string, 3> HexagonalOps::getDefaultPoleFigureNames(ebsdlib::HexConvention conv) const
 {
-  // The a-family slot is sym-equivalent under the 6-fold; <2-1-10> and
-  // <11-20> are different orbit members of the same physical family.
-  // Different software ecosystems pick different representatives:
-  //   X||a (OIM / EDAX / legacy DREAM3D): <2-1-10>  (the a-vector itself)
-  //   X||a* (MTEX / Oxford):              <11-20>
-  // Match the user's expected toolchain so the printed labels line up
-  // with what they see in OIM Analysis or MTEX side-by-side.
-  if(conv == ebsdlib::HexConvention::XParallelA)
-  {
-    return {"<0001>", "<10-10>", "<2-1-10>"};
-  }
-  return {"<0001>", "<10-10>", "<11-20>"};
+  // The three pole figures plot whole plane-normal families, so they are named
+  // with brace (plane-family) notation. The family identity does NOT depend on
+  // the X||a vs X||a* convention: that choice is a 30 deg rotation of the
+  // Cartesian basis about c, which only rotates where the poles land in the
+  // figure (handled in the direction tables / generateSphereCoordsFromEulers).
+  // The third family is the a-axis family; {2-1-10} and {11-20} are synonyms for
+  // it ((2-1-10) is a member of {11-20}), so we use the standard {11-20} for both
+  // conventions rather than switching the title. conv is unused for the labels.
+  (void)conv;
+  return {"{0001}", "{10-10}", "{11-20}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/HexagonalOps.h b/Source/EbsdLib/LaueOps/HexagonalOps.h
index 0193a09a..ef76dc37 100644
--- a/Source/EbsdLib/LaueOps/HexagonalOps.h
+++ b/Source/EbsdLib/LaueOps/HexagonalOps.h
@@ -259,8 +259,8 @@ class EbsdLib_EXPORT HexagonalOps : public LaueOps
    * @brief generateStandardTriangle Generates an RGBA array that is a color "Standard" IPF Triangle Legend used for IPF Color Maps.
    * @return
    */
-  ebsdlib::UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv, ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL,
-                                                             bool gridded = false) const override;
+  ebsdlib::UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv = ebsdlib::HexConvention::XParallelA,
+                                                             ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL, bool gridded = false) const override;
 
   bool mapPixelToSphereSST(int xPixel, int yPixel, int imageDim, std::array<float, 3>& sphereDir) const override;
 
diff --git a/Source/EbsdLib/LaueOps/LaueOps.cpp b/Source/EbsdLib/LaueOps/LaueOps.cpp
index d0bfffd3..d7e649fa 100644
--- a/Source/EbsdLib/LaueOps/LaueOps.cpp
+++ b/Source/EbsdLib/LaueOps/LaueOps.cpp
@@ -1022,10 +1022,29 @@ UInt8ArrayType::Pointer LaueOps::annotateIPFImage(UInt8ArrayType::Pointer triang
   context.draw_image(image->getPointer(0), imageDim, imageDim, imageDim * image->getNumberOfComponents(), figureOrigin[0], figureOrigin[1], static_cast<float>(legendWidth),
                      static_cast<float>(legendHeight));
 
-  // Draw title
+  // Draw title at the large font.
   context.set_font(latoBold.data(), static_cast<int>(latoBold.size()), fontPtSize * 1.5);
   ebsdlib::WriteText(context, title, {margins[0], static_cast<float>(fontPtSize * 1.5)}, fontPtSize * 1.5);
 
+  // Hex/trig basis convention on a small sub-line just under the title (smaller
+  // than the Miller-index annotation font) so it fits the cropped width and does
+  // not collide with the triangle labels.
+  std::string convLine;
+  if(conv == ebsdlib::HexConvention::XParallelA)
+  {
+    convLine = "Convention: X||a (TSL)";
+  }
+  else if(conv == ebsdlib::HexConvention::XParallelAStar)
+  {
+    convLine = "Convention: X||a* (MTEX/Oxford)";
+  }
+  if(!convLine.empty())
+  {
+    const float subFontSize = fontPtSize * 0.7F;
+    context.set_font(latoRegular.data(), static_cast<int>(latoRegular.size()), subFontSize);
+    ebsdlib::WriteText(context, convLine, {margins[0], static_cast<float>(fontPtSize * 2.6F)}, static_cast<int>(subFontSize));
+  }
+
   // Draw per-subclass annotations (Miller indices, SST boundary lines)
   context.set_font(latoRegular.data(), static_cast<int>(latoRegular.size()), fontPtSize);
   drawIPFAnnotations(context, canvasDim, fontPtSize, margins, figureOrigin, figureCenter, generateEntirePlane, conv);
diff --git a/Source/EbsdLib/LaueOps/LaueOps.h b/Source/EbsdLib/LaueOps/LaueOps.h
index 87aa43d5..fed35722 100644
--- a/Source/EbsdLib/LaueOps/LaueOps.h
+++ b/Source/EbsdLib/LaueOps/LaueOps.h
@@ -359,8 +359,8 @@ class EbsdLib_EXPORT LaueOps
    *                meaningful for legends; the per-pixel generateIPFColor
    *                path does not expose this knob.
    */
-  virtual UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv, ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL,
-                                                            bool gridded = false) const = 0;
+  virtual UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv = ebsdlib::HexConvention::XParallelA,
+                                                            ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL, bool gridded = false) const = 0;
 
   /**
    * @brief Computes the SST color for a Euler-rotated reference direction
diff --git a/Source/EbsdLib/LaueOps/MonoclinicOps.cpp b/Source/EbsdLib/LaueOps/MonoclinicOps.cpp
index ec8f626b..dd19774b 100644
--- a/Source/EbsdLib/LaueOps/MonoclinicOps.cpp
+++ b/Source/EbsdLib/LaueOps/MonoclinicOps.cpp
@@ -607,7 +607,7 @@ ebsdlib::Rgb MonoclinicOps::generateRodriguesColor(double r1, double r2, double
 // -----------------------------------------------------------------------------
 std::array<std::string, 3> MonoclinicOps::getDefaultPoleFigureNames(ebsdlib::HexConvention conv) const
 {
-  return {"<001>", "<100>", "<010>"};
+  return {"{001}", "{100}", "{010}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/OrthoRhombicOps.cpp b/Source/EbsdLib/LaueOps/OrthoRhombicOps.cpp
index 5e45fa0f..14a95670 100644
--- a/Source/EbsdLib/LaueOps/OrthoRhombicOps.cpp
+++ b/Source/EbsdLib/LaueOps/OrthoRhombicOps.cpp
@@ -617,7 +617,7 @@ ebsdlib::Rgb OrthoRhombicOps::generateRodriguesColor(double r1, double r2, doubl
 // -----------------------------------------------------------------------------
 std::array<std::string, 3> OrthoRhombicOps::getDefaultPoleFigureNames(ebsdlib::HexConvention conv) const
 {
-  return {"<001>", "<100>", "<010>"};
+  return {"{001}", "{100}", "{010}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/TetragonalLowOps.cpp b/Source/EbsdLib/LaueOps/TetragonalLowOps.cpp
index d96f7f7d..f135f32c 100644
--- a/Source/EbsdLib/LaueOps/TetragonalLowOps.cpp
+++ b/Source/EbsdLib/LaueOps/TetragonalLowOps.cpp
@@ -622,7 +622,7 @@ ebsdlib::Rgb TetragonalLowOps::generateRodriguesColor(double r1, double r2, doub
 // -----------------------------------------------------------------------------
 std::array<std::string, 3> TetragonalLowOps::getDefaultPoleFigureNames(ebsdlib::HexConvention conv) const
 {
-  return {"<001>", "<100>", "<110>"};
+  return {"{001}", "{100}", "{110}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/TetragonalOps.cpp b/Source/EbsdLib/LaueOps/TetragonalOps.cpp
index f1205478..f4296b0a 100644
--- a/Source/EbsdLib/LaueOps/TetragonalOps.cpp
+++ b/Source/EbsdLib/LaueOps/TetragonalOps.cpp
@@ -663,7 +663,7 @@ ebsdlib::Rgb TetragonalOps::generateRodriguesColor(double r1, double r2, double
 // -----------------------------------------------------------------------------
 std::array<std::string, 3> TetragonalOps::getDefaultPoleFigureNames(ebsdlib::HexConvention conv) const
 {
-  return {"<001>", "<100>", "<110>"};
+  return {"{001}", "{100}", "{110}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/TriclinicOps.cpp b/Source/EbsdLib/LaueOps/TriclinicOps.cpp
index b9376c10..46da46b8 100644
--- a/Source/EbsdLib/LaueOps/TriclinicOps.cpp
+++ b/Source/EbsdLib/LaueOps/TriclinicOps.cpp
@@ -604,7 +604,7 @@ ebsdlib::Rgb TriclinicOps::generateRodriguesColor(double r1, double r2, double r
 // -----------------------------------------------------------------------------
 std::array<std::string, 3> TriclinicOps::getDefaultPoleFigureNames(ebsdlib::HexConvention conv) const
 {
-  return {"<001>", "<100>", "<010>"};
+  return {"{001}", "{100}", "{010}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/TrigonalLowOps.cpp b/Source/EbsdLib/LaueOps/TrigonalLowOps.cpp
index 17e5ad39..a3da9133 100644
--- a/Source/EbsdLib/LaueOps/TrigonalLowOps.cpp
+++ b/Source/EbsdLib/LaueOps/TrigonalLowOps.cpp
@@ -734,7 +734,7 @@ std::array<std::string, 3> TrigonalLowOps::getDefaultPoleFigureNames(ebsdlib::He
   // See TrigonalOps::getDefaultPoleFigureNames for the rationale on why the
   // conv parameter is plumbed but does not change the returned strings here.
   (void)conv;
-  return {"<0001>", "<-1-120>", "<2-1-10>"};
+  return {"{0001}", "{-1-120}", "{2-1-10}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/TrigonalLowOps.h b/Source/EbsdLib/LaueOps/TrigonalLowOps.h
index fdc4ccc5..d83dec51 100644
--- a/Source/EbsdLib/LaueOps/TrigonalLowOps.h
+++ b/Source/EbsdLib/LaueOps/TrigonalLowOps.h
@@ -263,8 +263,8 @@ class EbsdLib_EXPORT TrigonalLowOps : public LaueOps
    * @brief generateStandardTriangle Generates an RGBA array that is a color "Standard" IPF Triangle Legend used for IPF Color Maps.
    * @return
    */
-  ebsdlib::UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv, ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL,
-                                                             bool gridded = false) const override;
+  ebsdlib::UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv = ebsdlib::HexConvention::XParallelA,
+                                                             ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL, bool gridded = false) const override;
 
   bool mapPixelToSphereSST(int xPixel, int yPixel, int imageDim, std::array<float, 3>& sphereDir) const override;
 
diff --git a/Source/EbsdLib/LaueOps/TrigonalOps.cpp b/Source/EbsdLib/LaueOps/TrigonalOps.cpp
index 66b5710b..84d08be1 100644
--- a/Source/EbsdLib/LaueOps/TrigonalOps.cpp
+++ b/Source/EbsdLib/LaueOps/TrigonalOps.cpp
@@ -756,7 +756,7 @@ std::array<std::string, 3> TrigonalOps::getDefaultPoleFigureNames(ebsdlib::HexCo
   // strings are the same under both conventions for now; revisit if a
   // user reports a specific OIM/MTEX label divergence here.
   (void)conv;
-  return {"<0001>", "<0-110>", "<1-100>"};
+  return {"{0001}", "{0-110}", "{1-100}"};
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/LaueOps/TrigonalOps.h b/Source/EbsdLib/LaueOps/TrigonalOps.h
index eb32b43c..7e327652 100644
--- a/Source/EbsdLib/LaueOps/TrigonalOps.h
+++ b/Source/EbsdLib/LaueOps/TrigonalOps.h
@@ -262,8 +262,8 @@ class EbsdLib_EXPORT TrigonalOps : public LaueOps
    * @brief generateStandardTriangle Generates an RGBA array that is a color "Standard" IPF Triangle Legend used for IPF Color Maps.
    * @return
    */
-  ebsdlib::UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv, ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL,
-                                                             bool gridded = false) const override;
+  ebsdlib::UInt8ArrayType::Pointer generateIPFTriangleLegend(int imageDim, bool generateEntirePlane, ebsdlib::HexConvention conv = ebsdlib::HexConvention::XParallelA,
+                                                             ebsdlib::ColorKeyKind kind = ebsdlib::ColorKeyKind::TSL, bool gridded = false) const override;
 
   bool mapPixelToSphereSST(int xPixel, int yPixel, int imageDim, std::array<float, 3>& sphereDir) const override;
 
diff --git a/Source/EbsdLib/Utilities/DiscretePoleFigureCompositor.cpp b/Source/EbsdLib/Utilities/DiscretePoleFigureCompositor.cpp
new file mode 100644
index 00000000..7b9d4376
--- /dev/null
+++ b/Source/EbsdLib/Utilities/DiscretePoleFigureCompositor.cpp
@@ -0,0 +1,157 @@
+#include "EbsdLib/Utilities/DiscretePoleFigureCompositor.h"
+
+#include "EbsdLib/LaueOps/LaueOps.h"
+#include "EbsdLib/Math/EbsdLibMath.h"
+#include "EbsdLib/Utilities/Fonts.hpp"
+#include "EbsdLib/Utilities/MarkerOccupancyGrid.h"
+#include "EbsdLib/Utilities/PoleFigureChrome.h"
+#include "EbsdLib/Utilities/PoleFigureCompositor.h"
+#include "EbsdLib/Utilities/PoleFigureProjection.h"
+
+#include <canvas_ity.hpp>
+
+#include <algorithm>
+#include <array>
+#include <cmath>
+#include <vector>
+
+namespace ebsdlib
+{
+// -----------------------------------------------------------------------------
+UInt8ArrayType::Pointer RenderDiscreteMarkerSprite(const std::array<float, 3>& color, float radiusPx, int& outSize)
+{
+  int diameter = static_cast<int>(std::ceil(2.0f * radiusPx + 2.0f)); // +2px AA padding
+  diameter = std::max(diameter, 2);
+  if(diameter % 2 != 0)
+  {
+    diameter++; // even => exact center for centered blits
+  }
+  outSize = diameter;
+
+  // Fresh canvas starts fully transparent; draw only the circle.
+  canvas_ity::canvas spriteCanvas(diameter, diameter);
+  spriteCanvas.set_color(canvas_ity::fill_style, color[0], color[1], color[2], 1.0f);
+  spriteCanvas.begin_path();
+  spriteCanvas.arc(static_cast<float>(diameter) / 2.0f, static_cast<float>(diameter) / 2.0f, radiusPx, 0.0f, ebsdlib::constants::k_2PiF);
+  spriteCanvas.fill();
+
+  auto sprite = UInt8ArrayType::CreateArray(static_cast<size_t>(diameter) * diameter, {4ULL}, "MarkerSprite", true);
+  spriteCanvas.get_image_data(sprite->getPointer(0), diameter, diameter, diameter * 4, 0, 0);
+  return sprite;
+}
+
+// -----------------------------------------------------------------------------
+CompositePoleFigureResult DiscretePoleFigureCompositor::generateCompositeImage(CompositePoleFigureConfiguration_t& config)
+{
+  CompositePoleFigureResult result;
+
+  std::vector<LaueOps::Pointer> ops = LaueOps::GetAllOrientationOps();
+  if(config.laueOpsIndex >= ops.size())
+  {
+    return result;
+  }
+  LaueOps::Pointer op = ops[config.laueOpsIndex];
+
+  // --- Crystallography: symmetric pole vectors for the 3 families ---
+  const std::array<int32_t, 3> symSizes = op->getNumSymmetry();
+  const size_t numOrientations = (config.eulers != nullptr) ? config.eulers->getNumberOfTuples() : 0;
+  std::vector<size_t> dims(1, 3);
+  std::array<FloatArrayType::Pointer, 3> families = {FloatArrayType::CreateArray(numOrientations * static_cast<size_t>(symSizes[0]), dims, "family0", true),
+                                                     FloatArrayType::CreateArray(numOrientations * static_cast<size_t>(symSizes[1]), dims, "family1", true),
+                                                     FloatArrayType::CreateArray(numOrientations * static_cast<size_t>(symSizes[2]), dims, "family2", true)};
+  if(numOrientations > 0)
+  {
+    op->generateSphereCoordsFromEulers(config.eulers, families[0].get(), families[1].get(), families[2].get(), config.hexConvention);
+  }
+
+  // --- Layout (shared with the raster compositor) ---
+  const LayoutMetrics layout = PoleFigureCompositor::computeLayoutMetrics(config);
+
+  const std::array<std::string, 3> defaultNames = op->getDefaultPoleFigureNames(config.hexConvention);
+  auto nameFor = [&](int familyIndex) -> std::string {
+    if(config.poleFigureNames.size() > static_cast<size_t>(familyIndex))
+    {
+      return config.poleFigureNames[static_cast<size_t>(familyIndex)];
+    }
+    return defaultNames[static_cast<size_t>(familyIndex)];
+  };
+
+  // --- Fonts ---
+  std::vector<unsigned char> latoBold = fonts::GetLatoBold();
+  std::vector<unsigned char> latoRegular = fonts::GetLatoRegular();
+  std::vector<unsigned char> firaSans = fonts::GetFiraSansRegular();
+
+  // --- Marker sprite (single color => render once) ---
+  const float halfSize = static_cast<float>(config.imageDim) / 2.0f;
+  const float markerR = std::max(0.5f, config.markerStyle.radiusFraction * static_cast<float>(config.imageDim));
+  const float cellSize = 1.0f; // std::max(1.0f, 2.0f * markerR);
+  int spriteSize = 0;
+  UInt8ArrayType::Pointer sprite = RenderDiscreteMarkerSprite(config.markerStyle.color, markerR, spriteSize);
+  const float spriteHalf = static_cast<float>(spriteSize) / 2.0f;
+
+  // --- Render ---
+  canvas_ity::canvas context(layout.pageWidth, layout.pageHeight);
+  DrawPoleFigureBackground(context, layout);
+  DrawPoleFigureTitle(context, config.title, static_cast<float>(layout.pageWidth), layout.fontPtSize, layout.margins, latoBold);
+
+  for(int familyIndex = 0; familyIndex < 3; familyIndex++)
+  {
+    const int slot = (config.order.size() == 3) ? static_cast<int>(config.order[static_cast<size_t>(familyIndex)]) : familyIndex;
+    const std::array<float, 2> origin = layout.origins[static_cast<size_t>(slot)];
+    const float x0 = origin[0] + layout.margins;
+    const float y0 = origin[1] + layout.fontPtSize * 2.0f + layout.margins * 2.0f;
+
+    MarkerOccupancyGrid grid(x0, y0, static_cast<float>(config.imageDim), static_cast<float>(config.imageDim), cellSize);
+
+    const FloatArrayType::Pointer fam = families[static_cast<size_t>(familyIndex)];
+    const size_t numPoles = fam->getNumberOfTuples();
+    for(size_t t = 0; t < numPoles; t++)
+    {
+      // Do Not Draw Negative Hemisphere.
+      if((*fam)[t * 3 + 2] < 0)
+      {
+        continue;
+      }
+      const std::array<float, 2> disk = StereographicProjectUpperHemisphere((*fam)[t * 3 + 0], (*fam)[t * 3 + 1], (*fam)[t * 3 + 2]);
+      if(disk[0] * disk[0] + disk[1] * disk[1] > 1.0f)
+      {
+        continue; // outside the unit disk
+      }
+      const float cx = x0 + halfSize + disk[0] * halfSize;
+      // flipFinalImage=true => +Y up (mirror of raw projection, matching the raster path's flip);
+      // flipFinalImage=false => +Y down (raw projection orientation, matching the unflipped raster path).
+      const float cy = config.flipFinalImage ? (y0 + halfSize - disk[1] * halfSize) : (y0 + halfSize + disk[1] * halfSize);
+      if(!grid.shouldDraw(cx, cy))
+      {
+        continue; // decimated: a marker already occupies this cell
+      }
+      context.draw_image(sprite->getPointer(0), spriteSize, spriteSize, spriteSize * 4, cx - spriteHalf, cy - spriteHalf, static_cast<float>(spriteSize), static_cast<float>(spriteSize));
+    }
+
+    DrawPoleFigureFrame(context, config, origin, nameFor(familyIndex), layout.fontPtSize, layout.margins, latoBold, firaSans);
+  }
+
+  const float legendFontPtSize = static_cast<float>(config.imageDim) / 20.0f;
+  DrawPoleFigureInfoBlock(context, config, layout.origins[3], layout.margins, legendFontPtSize, latoRegular);
+
+  auto image = UInt8ArrayType::CreateArray(static_cast<size_t>(layout.pageWidth) * layout.pageHeight, {4ULL}, "CompositePoleFigure", true);
+  context.get_image_data(image->getPointer(0), layout.pageWidth, layout.pageHeight, layout.pageWidth * 4, 0, 0);
+
+  result.image = image;
+  result.width = layout.pageWidth;
+  result.height = layout.pageHeight;
+  return result;
+}
+
+// -----------------------------------------------------------------------------
+CompositePoleFigureResult GeneratePoleFigureComposite(CompositePoleFigureConfiguration_t& config)
+{
+  if(config.discrete && !config.discreteHeatMap)
+  {
+    DiscretePoleFigureCompositor compositor;
+    return compositor.generateCompositeImage(config);
+  }
+  PoleFigureCompositor compositor;
+  return compositor.generateCompositeImage(config);
+}
+} // namespace ebsdlib
diff --git a/Source/EbsdLib/Utilities/DiscretePoleFigureCompositor.h b/Source/EbsdLib/Utilities/DiscretePoleFigureCompositor.h
new file mode 100644
index 00000000..0ceb208c
--- /dev/null
+++ b/Source/EbsdLib/Utilities/DiscretePoleFigureCompositor.h
@@ -0,0 +1,34 @@
+#pragma once
+
+#include <array>
+
+#include "EbsdLib/Core/EbsdDataArray.hpp"
+#include "EbsdLib/EbsdLib.h"
+#include "EbsdLib/Utilities/PoleFigureCompositor.h" // CompositePoleFigureConfiguration_t, CompositePoleFigureResult
+
+namespace ebsdlib
+{
+/**
+ * @brief Renders one opaque filled-circle marker into a square RGBA tile.
+ * The tile is transparent outside the circle. outSize receives the tile edge length.
+ */
+EbsdLib_EXPORT UInt8ArrayType::Pointer RenderDiscreteMarkerSprite(const std::array<float, 3>& color, float radiusPx, int& outSize);
+
+/**
+ * @brief Renders plain discrete pole figures as opaque filled-circle markers drawn
+ * directly into a canvas_ity context (no intermediate RGBA raster). Crystallography
+ * is delegated to the configured LaueOps. Use when config.discrete && !discreteHeatMap.
+ */
+class EbsdLib_EXPORT DiscretePoleFigureCompositor
+{
+public:
+  DiscretePoleFigureCompositor() = default;
+  ~DiscretePoleFigureCompositor() = default;
+  DiscretePoleFigureCompositor(const DiscretePoleFigureCompositor&) = delete;
+  DiscretePoleFigureCompositor(DiscretePoleFigureCompositor&&) = delete;
+  DiscretePoleFigureCompositor& operator=(const DiscretePoleFigureCompositor&) = delete;
+  DiscretePoleFigureCompositor& operator=(DiscretePoleFigureCompositor&&) = delete;
+
+  CompositePoleFigureResult generateCompositeImage(CompositePoleFigureConfiguration_t& config);
+};
+} // namespace ebsdlib
diff --git a/Source/EbsdLib/Utilities/InversePoleFigureUtilities.h b/Source/EbsdLib/Utilities/InversePoleFigureUtilities.h
index 79f8c60e..add68b01 100644
--- a/Source/EbsdLib/Utilities/InversePoleFigureUtilities.h
+++ b/Source/EbsdLib/Utilities/InversePoleFigureUtilities.h
@@ -64,14 +64,16 @@ struct InversePoleFigureConfiguration_t
   int numColors;                              ///<* The number of colors to use in the color map
   std::string colorMap;                       ///<* Name of the ColorMap to use
   bool normalizeMRD;                          ///<* true=normalize to MRD (Multiples of Random Distribution), false=raw counts
-  std::vector<std::string> labels;            ///<* The labels for each of the 3 inverse pole figures (e.g., "RD", "TD", "ND")
+  std::vector<std::string> labels;            ///<* The labels for each of the 3 inverse pole figures
   std::string phaseName;                      ///<* The name of the phase
   bool FlipFinalImage;                        ///<* If TRUE, the final image will be flipped across the X Axis so that +Y axis points UP
   /// Cartesian basis convention for hex/trig phases. Affects the Miller-
   /// index labels drawn around the SST in generateAnnotatedIPFDensity.
   /// Ignored for cubic / tetragonal / orthorhombic / monoclinic / triclinic.
+  /// Defaults to X||a (TSL) to match the pole-figure config structs (3.1).
+  /// IPF colors are convention-invariant; this only affects the SST labels.
   /// See ebsdlib::HexConvention.
-  ebsdlib::HexConvention hexConvention = ebsdlib::HexConvention::XParallelAStar;
+  ebsdlib::HexConvention hexConvention = ebsdlib::HexConvention::XParallelA;
 };
 
 /**
diff --git a/Source/EbsdLib/Utilities/MarkerOccupancyGrid.cpp b/Source/EbsdLib/Utilities/MarkerOccupancyGrid.cpp
new file mode 100644
index 00000000..743f2e2c
--- /dev/null
+++ b/Source/EbsdLib/Utilities/MarkerOccupancyGrid.cpp
@@ -0,0 +1,40 @@
+#include "EbsdLib/Utilities/MarkerOccupancyGrid.h"
+
+#include <algorithm>
+#include <cmath>
+
+namespace ebsdlib
+{
+MarkerOccupancyGrid::MarkerOccupancyGrid(float originX, float originY, float width, float height, float cellSize)
+: m_OriginX(originX)
+, m_OriginY(originY)
+, m_Right(originX + width)
+, m_Bottom(originY + height)
+, m_CellSize(std::max(cellSize, 1.0f))
+, m_Cols(static_cast<int>(std::ceil(width / std::max(cellSize, 1.0f))) + 1)
+, m_Rows(static_cast<int>(std::ceil(height / std::max(cellSize, 1.0f))) + 1)
+, m_Occupied(static_cast<size_t>(m_Cols) * static_cast<size_t>(m_Rows), false)
+{
+}
+
+bool MarkerOccupancyGrid::shouldDraw(float x, float y)
+{
+  if(x < m_OriginX || x > m_Right || y < m_OriginY || y > m_Bottom)
+  {
+    return false;
+  }
+  const int col = static_cast<int>((x - m_OriginX) / m_CellSize);
+  const int row = static_cast<int>((y - m_OriginY) / m_CellSize);
+  if(col < 0 || col >= m_Cols || row < 0 || row >= m_Rows)
+  {
+    return false;
+  }
+  const size_t idx = static_cast<size_t>(row) * static_cast<size_t>(m_Cols) + static_cast<size_t>(col);
+  if(m_Occupied[idx])
+  {
+    return false;
+  }
+  m_Occupied[idx] = true;
+  return true;
+}
+} // namespace ebsdlib
diff --git a/Source/EbsdLib/Utilities/MarkerOccupancyGrid.h b/Source/EbsdLib/Utilities/MarkerOccupancyGrid.h
new file mode 100644
index 00000000..946e3ae1
--- /dev/null
+++ b/Source/EbsdLib/Utilities/MarkerOccupancyGrid.h
@@ -0,0 +1,35 @@
+#pragma once
+
+#include <vector>
+
+#include "EbsdLib/EbsdLib.h"
+
+namespace ebsdlib
+{
+/**
+ * @brief Screen-space occupancy grid used to decimate overlapping markers.
+ *
+ * Sized to the marker footprint, only the first point that lands in a given cell
+ * is drawn; later points in that cell are skipped. This turns O(N) marker draws
+ * into O(area / cell_area) regardless of how many points exist. Modeled on
+ * McPlotty's PointDecimationGrid.
+ */
+class EbsdLib_EXPORT MarkerOccupancyGrid
+{
+public:
+  MarkerOccupancyGrid(float originX, float originY, float width, float height, float cellSize);
+
+  /** @brief True only the first time an in-bounds point lands in a cell (marks it). */
+  bool shouldDraw(float x, float y);
+
+private:
+  float m_OriginX;
+  float m_OriginY;
+  float m_Right;
+  float m_Bottom;
+  float m_CellSize;
+  int m_Cols;
+  int m_Rows;
+  std::vector<bool> m_Occupied;
+};
+} // namespace ebsdlib
diff --git a/Source/EbsdLib/Utilities/PoleFigureChrome.cpp b/Source/EbsdLib/Utilities/PoleFigureChrome.cpp
new file mode 100644
index 00000000..4063a0f7
--- /dev/null
+++ b/Source/EbsdLib/Utilities/PoleFigureChrome.cpp
@@ -0,0 +1,225 @@
+/* ============================================================================
+ * Copyright (c) 2009-2025 BlueQuartz Software, LLC
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * Redistributions of source code must retain the above copyright notice, this
+ * list of conditions and the following disclaimer.
+ *
+ * Redistributions in binary form must reproduce the above copyright notice, this
+ * list of conditions and the following disclaimer in the documentation and/or
+ * other materials provided with the distribution.
+ *
+ * Neither the name of BlueQuartz Software, the US Air Force, nor the names of its
+ * contributors may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+ * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+ * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+ * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+ * USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
+
+#include "EbsdLib/Utilities/PoleFigureChrome.h"
+
+#include "EbsdLib/Math/EbsdLibMath.h"
+#include "EbsdLib/Utilities/EbsdStringUtils.hpp"
+
+#include <canvas_ity.hpp>
+
+#include <fmt/format.h>
+
+#include "EbsdLib/LaueOps/LaueOps.h"
+
+namespace ebsdlib
+{
+
+// -----------------------------------------------------------------------------
+void DrawPoleFigureBackground(canvas_ity::canvas& context, const LayoutMetrics& layout)
+{
+  context.move_to(0.0f, 0.0f);
+  context.line_to(static_cast<float>(layout.pageWidth), 0.0f);
+  context.line_to(static_cast<float>(layout.pageWidth), static_cast<float>(layout.pageHeight));
+  context.line_to(0.0f, static_cast<float>(layout.pageHeight));
+  context.line_to(0.0f, 0.0f);
+  context.close_path();
+  context.set_color(canvas_ity::fill_style, 1.0f, 1.0f, 1.0f, 1.0f);
+  context.fill();
+}
+
+// -----------------------------------------------------------------------------
+void DrawPoleFigureTitle(canvas_ity::canvas& context, const std::string& title, float pageWidth, float fontPtSize, float margins, const std::vector<unsigned char>& latoBold)
+{
+  if(title.empty())
+  {
+    return;
+  }
+  context.begin_path();
+  context.set_font(const_cast<unsigned char*>(latoBold.data()), static_cast<int>(latoBold.size()), fontPtSize);
+  context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
+  context.text_baseline = canvas_ity::alphabetic;
+  context.fill_text(title.c_str(), margins, margins + fontPtSize);
+  context.close_path();
+}
+
+// -----------------------------------------------------------------------------
+void DrawPoleFigureInfoBlock(canvas_ity::canvas& context, const CompositePoleFigureConfiguration_t& config, std::array<float, 2> position, float margins, float fontPtSize,
+                             const std::vector<unsigned char>& latoRegular)
+{
+  const float scaleBarRelativeWidth = 0.10f;
+  const auto imageWidth = static_cast<float>(config.imageDim);
+  const float rectWidth = imageWidth * scaleBarRelativeWidth;
+
+  std::vector<std::string> laueNames = LaueOps::GetLaueNames();
+  std::string laueGroupName;
+  if(config.laueOpsIndex < laueNames.size())
+  {
+    laueGroupName = laueNames[config.laueOpsIndex];
+  }
+
+  std::vector<std::string> labels = {
+      fmt::format("Phase Num: {}", config.phaseNumber),
+      fmt::format("Material Name: {}", config.phaseName),
+      fmt::format("Laue Group: {}", laueGroupName),
+      fmt::format("Samples: {}", config.eulers != nullptr ? config.eulers->getNumberOfTuples() : 0),
+      fmt::format("Hex/Trig Convention: {}", config.hexConvention == ebsdlib::HexConvention::XParallelAStar ? "x||a*" : "x||a"),
+      // fmt::format("{} Right, {} Up", config.axisNames[0], config.axisNames[1])
+  };
+
+  if(!config.discrete)
+  {
+    labels.push_back(fmt::format("Lambert Sq. Dim: {}", config.lambertDim));
+  }
+
+  float heightInc = 1.0f;
+  for(const auto& label : labels)
+  {
+    context.begin_path();
+    context.set_font(const_cast<unsigned char*>(latoRegular.data()), static_cast<int>(latoRegular.size()), fontPtSize);
+    context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
+    context.text_baseline = canvas_ity::alphabetic;
+    context.fill_text(label.c_str(), position[0] + margins + rectWidth + margins, position[1] + margins + (static_cast<float>(config.imageDim) / 3.0f) + (heightInc * fontPtSize));
+    context.close_path();
+    heightInc++;
+  }
+}
+
+// -----------------------------------------------------------------------------
+void DrawPoleFigureFrame(canvas_ity::canvas& context, const CompositePoleFigureConfiguration_t& config, std::array<float, 2> origin, const std::string& poleFigureName, float fontPtSize, float margins,
+                         const std::vector<unsigned char>& latoBold, const std::vector<unsigned char>& firaSans)
+{
+  const auto imageSize = static_cast<float>(config.imageDim);
+
+  // Circle outline
+  context.begin_path();
+  context.line_cap = canvas_ity::circle;
+  context.set_line_width(1.0f);
+  context.set_color(canvas_ity::stroke_style, 0.0f, 0.0f, 0.0f, 1.0f);
+  context.arc(origin[0] + margins + imageSize / 2.0f, origin[1] + fontPtSize * 2.0f + margins * 2.0f + imageSize / 2.0f, imageSize / 2.0f, 0, ebsdlib::constants::k_2PiF);
+  context.stroke();
+  context.close_path();
+
+  // X axis line
+  context.begin_path();
+  context.line_cap = canvas_ity::square;
+  context.set_line_width(1.0f);
+  context.set_color(canvas_ity::stroke_style, 0.0f, 0.0f, 0.0f, 1.0f);
+  context.move_to(origin[0] + margins, origin[1] + fontPtSize * 2.0f + margins * 2.0f + imageSize / 2.0f);
+  context.line_to(origin[0] + margins + imageSize, origin[1] + fontPtSize * 2.0f + margins * 2.0f + imageSize / 2.0f);
+  context.stroke();
+  context.close_path();
+
+  // Y axis line
+  context.begin_path();
+  context.line_cap = canvas_ity::square;
+  context.set_line_width(1.0f);
+  context.set_color(canvas_ity::stroke_style, 0.0f, 0.0f, 0.0f, 1.0f);
+  context.move_to(origin[0] + margins + imageSize / 2.0f, origin[1] + fontPtSize * 2.0f + margins * 2.0f);
+  context.line_to(origin[0] + margins + imageSize / 2.0f, origin[1] + fontPtSize * 2.0f + margins * 2.0f + imageSize);
+  context.stroke();
+  context.close_path();
+
+  // "X" axis label
+  context.begin_path();
+  context.set_font(const_cast<unsigned char*>(latoBold.data()), static_cast<int>(latoBold.size()), fontPtSize);
+  context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
+  context.text_baseline = canvas_ity::alphabetic;
+  context.fill_text(config.axisNames[0].c_str(), origin[0] + margins * 1.5f + imageSize, origin[1] + fontPtSize * 2.25f + margins * 2.0f + imageSize / 2.0f);
+  context.close_path();
+
+  // "Y" axis label
+  context.begin_path();
+  context.set_font(const_cast<unsigned char*>(latoBold.data()), static_cast<int>(latoBold.size()), fontPtSize);
+  context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
+  context.text_baseline = canvas_ity::alphabetic;
+  const float yFontWidth = context.measure_text(config.axisNames[1].c_str());
+  if(config.flipFinalImage)
+  {
+    context.fill_text(config.axisNames[1].c_str(), origin[0] + margins - (0.5f * yFontWidth) + imageSize / 2.0f, origin[1] + fontPtSize * 1.9f + margins * 2.0f);
+  }
+  else
+  {
+    context.fill_text(config.axisNames[1].c_str(), origin[0] + margins - (0.5f * yFontWidth) + imageSize / 2.0f, origin[1] + fontPtSize * 3.0f + margins * 2.0f + imageSize);
+  }
+
+  context.close_path();
+
+  // Family label rendered as a parenthesized title, e.g. brace-notation
+  // "{0001}" (and any legacy angle-bracket "<0001>") is shown as "(0001)".
+  std::string subtitle = EbsdStringUtils::replace(poleFigureName, "{", "(");
+  subtitle = EbsdStringUtils::replace(subtitle, "}", ")");
+  subtitle = EbsdStringUtils::replace(subtitle, "<", "(");
+  subtitle = EbsdStringUtils::replace(subtitle, ">", ")");
+
+  std::string bottomPart;
+  std::array<float, 2> textOrigin = {origin[0] + margins, origin[1] + fontPtSize + 2.0f * margins};
+
+  // Handle overbar notation: "-" before a digit draws a line above the digit
+  for(size_t idx = 0; idx < subtitle.size(); idx++)
+  {
+    if(subtitle.at(idx) == '-' && idx + 1 < subtitle.size())
+    {
+      const char charBuf[] = {subtitle[idx + 1], 0};
+      context.set_font(const_cast<unsigned char*>(firaSans.data()), static_cast<int>(firaSans.size()), fontPtSize);
+      float tw = 0.0f;
+      if(!bottomPart.empty())
+      {
+        tw = context.measure_text(bottomPart.c_str());
+      }
+      const float charWidth = context.measure_text(charBuf);
+      const float dashWidth = charWidth * 0.5f;
+      const float dashOffset = charWidth * 0.25f;
+
+      context.begin_path();
+      context.line_cap = canvas_ity::square;
+      context.set_line_width(2.0f);
+      context.set_color(canvas_ity::stroke_style, 0.0f, 0.0f, 0.0f, 1.0f);
+      context.move_to(textOrigin[0] + tw + dashOffset, textOrigin[1] - (0.8f * fontPtSize));
+      context.line_to(textOrigin[0] + tw + dashOffset + dashWidth, textOrigin[1] - (0.8f * fontPtSize));
+      context.stroke();
+      context.close_path();
+    }
+    else
+    {
+      bottomPart.push_back(subtitle.at(idx));
+    }
+  }
+
+  // Draw the direction subtitle text
+  context.begin_path();
+  context.set_font(const_cast<unsigned char*>(firaSans.data()), static_cast<int>(firaSans.size()), fontPtSize);
+  context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
+  context.text_baseline = canvas_ity::alphabetic;
+  context.fill_text(bottomPart.c_str(), textOrigin[0], textOrigin[1]);
+  context.close_path();
+}
+
+} // namespace ebsdlib
diff --git a/Source/EbsdLib/Utilities/PoleFigureChrome.h b/Source/EbsdLib/Utilities/PoleFigureChrome.h
new file mode 100644
index 00000000..0acbc918
--- /dev/null
+++ b/Source/EbsdLib/Utilities/PoleFigureChrome.h
@@ -0,0 +1,64 @@
+/* ============================================================================
+ * Copyright (c) 2009-2025 BlueQuartz Software, LLC
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * Redistributions of source code must retain the above copyright notice, this
+ * list of conditions and the following disclaimer.
+ *
+ * Redistributions in binary form must reproduce the above copyright notice, this
+ * list of conditions and the following disclaimer in the documentation and/or
+ * other materials provided with the distribution.
+ *
+ * Neither the name of BlueQuartz Software, the US Air Force, nor the names of its
+ * contributors may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+ * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+ * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+ * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+ * USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
+
+#pragma once
+
+#include <array>
+#include <string>
+#include <vector>
+
+#include "EbsdLib/EbsdLib.h"
+#include "EbsdLib/Utilities/PoleFigureCompositor.h" // CompositePoleFigureConfiguration_t, LayoutMetrics
+
+namespace canvas_ity
+{
+class canvas;
+} // namespace canvas_ity
+
+namespace ebsdlib
+{
+/** @brief Fills the entire page with a white background. */
+EbsdLib_EXPORT void DrawPoleFigureBackground(canvas_ity::canvas& context, const LayoutMetrics& layout);
+
+/** @brief Draws the composite title at the top of the page. */
+EbsdLib_EXPORT void DrawPoleFigureTitle(canvas_ity::canvas& context, const std::string& title, float pageWidth, float fontPtSize, float margins, const std::vector<unsigned char>& latoBold);
+
+/** @brief Draws the phase/sample info block used in the legend slot for discrete figures. */
+EbsdLib_EXPORT void DrawPoleFigureInfoBlock(canvas_ity::canvas& context, const CompositePoleFigureConfiguration_t& config, std::array<float, 2> position, float margins, float fontPtSize,
+                                            const std::vector<unsigned char>& latoRegular);
+
+/**
+ * @brief Draws the bounding circle, X/Y axis lines, axis labels, and direction
+ * subtitle for one pole figure at the given origin. Does NOT draw the figure data
+ * (raster blit or markers) — the caller draws that first.
+ */
+EbsdLib_EXPORT void DrawPoleFigureFrame(canvas_ity::canvas& context, const CompositePoleFigureConfiguration_t& config, std::array<float, 2> origin, const std::string& poleFigureName, float fontPtSize,
+                                        float margins, const std::vector<unsigned char>& latoBold, const std::vector<unsigned char>& firaSans);
+} // namespace ebsdlib
diff --git a/Source/EbsdLib/Utilities/PoleFigureCompositor.cpp b/Source/EbsdLib/Utilities/PoleFigureCompositor.cpp
index 0f9a0ad3..b7e62f8f 100644
--- a/Source/EbsdLib/Utilities/PoleFigureCompositor.cpp
+++ b/Source/EbsdLib/Utilities/PoleFigureCompositor.cpp
@@ -4,8 +4,8 @@
 #include "EbsdLib/Math/EbsdLibMath.h"
 #include "EbsdLib/Utilities/CanvasUtilities.hpp"
 #include "EbsdLib/Utilities/ColorTable.h"
-#include "EbsdLib/Utilities/EbsdStringUtils.hpp"
 #include "EbsdLib/Utilities/Fonts.hpp"
+#include "EbsdLib/Utilities/PoleFigureChrome.h"
 #include "EbsdLib/Utilities/PoleFigureUtilities.h"
 
 #include <fmt/format.h>
@@ -119,11 +119,12 @@ std::vector<UInt8ArrayType::Pointer> PoleFigureCompositor::generatePoleFigures(C
   pfConfig.discrete = config.discrete;
   pfConfig.discreteHeatMap = config.discreteHeatMap;
   pfConfig.colorMap = config.colorMap;
-  pfConfig.labels = config.labels;
+  pfConfig.labels = config.poleFigureNames;
   pfConfig.order = config.order;
   pfConfig.phaseName = config.phaseName;
-  pfConfig.FlipFinalImage = config.flipFinalImage;
+  pfConfig.flipFinalImage = config.flipFinalImage;
   pfConfig.hexConvention = config.hexConvention;
+  pfConfig.axisNames = config.axisNames;
 
   std::vector<LaueOps::Pointer> orientationOps = LaueOps::GetAllOrientationOps();
   if(config.laueOpsIndex >= orientationOps.size())
@@ -134,7 +135,7 @@ std::vector<UInt8ArrayType::Pointer> PoleFigureCompositor::generatePoleFigures(C
   auto result = orientationOps[config.laueOpsIndex]->generatePoleFigure(pfConfig);
 
   // LaueOps::generatePoleFigure updates minScale/maxScale to reflect the actual
-  // data range. Propagate these back so the scalar bar shows correct values.
+  // data range. Propagate these back so the scalar bar shows the correct values.
   config.minScale = pfConfig.minScale;
   config.maxScale = pfConfig.maxScale;
 
@@ -151,7 +152,8 @@ void PoleFigureCompositor::preprocessImages(std::vector<UInt8ArrayType::Pointer>
     g.run([&image, imageDim, flip]() {
       if(flip)
       {
-        image = flipAndMirror(image.get(), imageDim);
+        // Rotate 180 degrees about the horizontal (X) axis, i.e. a vertical flip.
+        image = MirrorImage<uint8_t>(image.get(), imageDim);
       }
       image = convertColorOrder(image.get(), imageDim);
     });
@@ -162,7 +164,8 @@ void PoleFigureCompositor::preprocessImages(std::vector<UInt8ArrayType::Pointer>
   {
     if(flip)
     {
-      image = flipAndMirror(image.get(), imageDim);
+      // Rotate 180 degrees about the horizontal (X) axis, i.e. a vertical flip.
+      image = MirrorImage<uint8_t>(image.get(), imageDim);
     }
     image = convertColorOrder(image.get(), imageDim);
   }
@@ -183,30 +186,23 @@ UInt8ArrayType::Pointer PoleFigureCompositor::compositeToCanvas(const CompositeP
   context.text_baseline = canvas_ity::alphabetic;
 
   // White background
-  context.move_to(0.0f, 0.0f);
-  context.line_to(static_cast<float>(layout.pageWidth), 0.0f);
-  context.line_to(static_cast<float>(layout.pageWidth), static_cast<float>(layout.pageHeight));
-  context.line_to(0.0f, static_cast<float>(layout.pageHeight));
-  context.line_to(0.0f, 0.0f);
-  context.close_path();
-  context.set_color(canvas_ity::fill_style, 1.0f, 1.0f, 1.0f, 1.0f);
-  context.fill();
+  DrawPoleFigureBackground(context, layout);
 
   // Draw each of the 3 pole figures
   for(int i = 0; i < 3 && i < static_cast<int>(images.size()); i++)
   {
-    std::string directionLabel = images[i]->getName();
-    drawPoleFigure(context, *images[i], layout.origins[i], config.imageDim, directionLabel, layout.fontPtSize, layout.margins, latoBold, firaSans);
+    std::string poleFigureName = images[i]->getName();
+    drawPoleFigure(context, config, *images[i], layout.origins[i], poleFigureName, layout.fontPtSize, layout.margins, latoBold, firaSans);
   }
 
   // Title
-  drawTitle(context, config.title, static_cast<float>(layout.pageWidth), layout.fontPtSize, layout.margins, latoBold);
+  DrawPoleFigureTitle(context, config.title, static_cast<float>(layout.pageWidth), layout.fontPtSize, layout.margins, latoBold);
 
   // Legend at 4th position
   const float legendFontPtSize = static_cast<float>(config.imageDim) / 20.0f;
   if(config.discrete)
   {
-    drawInfoBlock(context, config, layout.origins[3], layout.margins, legendFontPtSize, latoRegular);
+    DrawPoleFigureInfoBlock(context, config, layout.origins[3], layout.margins, legendFontPtSize, latoRegular);
   }
   else
   {
@@ -221,106 +217,16 @@ UInt8ArrayType::Pointer PoleFigureCompositor::compositeToCanvas(const CompositeP
 }
 
 // -----------------------------------------------------------------------------
-void PoleFigureCompositor::drawPoleFigure(canvas_ity::canvas& context, const UInt8ArrayType& image, std::array<float, 2> origin, int imageDim, const std::string& directionLabel, float fontPtSize,
-                                          float margins, const std::vector<unsigned char>& latoBold, const std::vector<unsigned char>& firaSans)
+void PoleFigureCompositor::drawPoleFigure(canvas_ity::canvas& context, const CompositePoleFigureConfiguration_t& config, const UInt8ArrayType& image, std::array<float, 2> origin,
+                                          const std::string& poleFigureName, float fontPtSize, float margins, const std::vector<unsigned char>& latoBold, const std::vector<unsigned char>& firaSans)
 {
-  const auto imageSize = static_cast<float>(imageDim);
+  const auto imageSize = static_cast<float>(config.imageDim);
 
   // Draw the pole figure image
-  context.draw_image(const_cast<uint8_t*>(image.getPointer(0)), imageDim, imageDim, imageDim * static_cast<int>(image.getNumberOfComponents()), origin[0] + margins,
+  context.draw_image(const_cast<uint8_t*>(image.getPointer(0)), config.imageDim, config.imageDim, config.imageDim * static_cast<int>(image.getNumberOfComponents()), origin[0] + margins,
                      origin[1] + fontPtSize * 2.0f + margins * 2.0f, imageSize, imageSize);
 
-  // Circle outline
-  context.begin_path();
-  context.line_cap = canvas_ity::circle;
-  context.set_line_width(3.0f);
-  context.set_color(canvas_ity::stroke_style, 0.0f, 0.0f, 0.0f, 1.0f);
-  context.arc(origin[0] + margins + imageSize / 2.0f, origin[1] + fontPtSize * 2.0f + margins * 2.0f + imageSize / 2.0f, imageSize / 2.0f, 0, ebsdlib::constants::k_2PiF);
-  context.stroke();
-  context.close_path();
-
-  // X axis line
-  context.begin_path();
-  context.line_cap = canvas_ity::square;
-  context.set_line_width(2.0f);
-  context.set_color(canvas_ity::stroke_style, 0.0f, 0.0f, 0.0f, 1.0f);
-  context.move_to(origin[0] + margins, origin[1] + fontPtSize * 2.0f + margins * 2.0f + imageSize / 2.0f);
-  context.line_to(origin[0] + margins + imageSize, origin[1] + fontPtSize * 2.0f + margins * 2.0f + imageSize / 2.0f);
-  context.stroke();
-  context.close_path();
-
-  // Y axis line
-  context.begin_path();
-  context.line_cap = canvas_ity::square;
-  context.set_line_width(2.0f);
-  context.set_color(canvas_ity::stroke_style, 0.0f, 0.0f, 0.0f, 1.0f);
-  context.move_to(origin[0] + margins + imageSize / 2.0f, origin[1] + fontPtSize * 2.0f + margins * 2.0f);
-  context.line_to(origin[0] + margins + imageSize / 2.0f, origin[1] + fontPtSize * 2.0f + margins * 2.0f + imageSize);
-  context.stroke();
-  context.close_path();
-
-  // "X" axis label
-  context.begin_path();
-  context.set_font(const_cast<unsigned char*>(latoBold.data()), static_cast<int>(latoBold.size()), fontPtSize);
-  context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
-  context.text_baseline = canvas_ity::alphabetic;
-  context.fill_text("TD", origin[0] + margins * 1.5f + imageSize, origin[1] + fontPtSize * 2.25f + margins * 2.0f + imageSize / 2.0f);
-  context.close_path();
-
-  // "Y" axis label
-  context.begin_path();
-  context.set_font(const_cast<unsigned char*>(latoBold.data()), static_cast<int>(latoBold.size()), fontPtSize);
-  context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
-  context.text_baseline = canvas_ity::alphabetic;
-  const float yFontWidth = context.measure_text("RD");
-  context.fill_text("RD", origin[0] + margins - (0.5f * yFontWidth) + imageSize / 2.0f, origin[1] + fontPtSize * 2.0f + margins);
-  context.close_path();
-
-  // Direction label (e.g., "<001>" displayed as "(001)")
-  std::string subtitle = EbsdStringUtils::replace(directionLabel, "<", "(");
-  subtitle = EbsdStringUtils::replace(subtitle, ">", ")");
-
-  std::string bottomPart;
-  std::array<float, 2> textOrigin = {origin[0] + margins, origin[1] + fontPtSize + 2.0f * margins};
-
-  // Handle overbar notation: "-" before a digit draws a line above the digit
-  for(size_t idx = 0; idx < subtitle.size(); idx++)
-  {
-    if(subtitle.at(idx) == '-' && idx + 1 < subtitle.size())
-    {
-      const char charBuf[] = {subtitle[idx + 1], 0};
-      context.set_font(const_cast<unsigned char*>(firaSans.data()), static_cast<int>(firaSans.size()), fontPtSize);
-      float tw = 0.0f;
-      if(!bottomPart.empty())
-      {
-        tw = context.measure_text(bottomPart.c_str());
-      }
-      const float charWidth = context.measure_text(charBuf);
-      const float dashWidth = charWidth * 0.5f;
-      const float dashOffset = charWidth * 0.25f;
-
-      context.begin_path();
-      context.line_cap = canvas_ity::square;
-      context.set_line_width(2.0f);
-      context.set_color(canvas_ity::stroke_style, 0.0f, 0.0f, 0.0f, 1.0f);
-      context.move_to(textOrigin[0] + tw + dashOffset, textOrigin[1] - (0.8f * fontPtSize));
-      context.line_to(textOrigin[0] + tw + dashOffset + dashWidth, textOrigin[1] - (0.8f * fontPtSize));
-      context.stroke();
-      context.close_path();
-    }
-    else
-    {
-      bottomPart.push_back(subtitle.at(idx));
-    }
-  }
-
-  // Draw the direction subtitle text
-  context.begin_path();
-  context.set_font(const_cast<unsigned char*>(firaSans.data()), static_cast<int>(firaSans.size()), fontPtSize);
-  context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
-  context.text_baseline = canvas_ity::alphabetic;
-  context.fill_text(bottomPart.c_str(), textOrigin[0], textOrigin[1]);
-  context.close_path();
+  DrawPoleFigureFrame(context, config, origin, poleFigureName, fontPtSize, margins, latoBold, firaSans);
 }
 
 // -----------------------------------------------------------------------------
@@ -379,76 +285,7 @@ void PoleFigureCompositor::drawScalarBar(canvas_ity::canvas& context, const Comp
     context.stroke_rectangle(x, y, rectWidth, colorHeight);
   }
 
-  drawInfoBlock(context, config, position, margins, fontPtSize, latoRegular);
-}
-
-// -----------------------------------------------------------------------------
-void PoleFigureCompositor::drawInfoBlock(canvas_ity::canvas& context, const CompositePoleFigureConfiguration_t& config, std::array<float, 2> position, float margins, float fontPtSize,
-                                         const std::vector<unsigned char>& latoRegular)
-{
-  const float scaleBarRelativeWidth = 0.10f;
-  const auto imageWidth = static_cast<float>(config.imageDim);
-  const float rectWidth = imageWidth * scaleBarRelativeWidth;
-
-  std::vector<std::string> laueNames = LaueOps::GetLaueNames();
-  std::string laueGroupName;
-  if(config.laueOpsIndex < laueNames.size())
-  {
-    laueGroupName = laueNames[config.laueOpsIndex];
-  }
-
-  const std::vector<std::string> labels = {fmt::format("Phase Num: {}", config.phaseNumber),
-                                           fmt::format("Material Name: {}", config.phaseName),
-                                           fmt::format("Laue Group: {}", laueGroupName),
-                                           fmt::format("Upper & Lower:"),
-                                           fmt::format("Samples: {}", config.eulers != nullptr ? config.eulers->getNumberOfTuples() : 0),
-                                           fmt::format("Lambert Sq. Dim: {}", config.lambertDim),
-                                           fmt::format("Hex/Trig Convention: {}", config.hexConvention == ebsdlib::HexConvention::XParallelAStar ? "x||a*" : "x||a")};
-
-  float heightInc = 1.0f;
-  for(const auto& label : labels)
-  {
-    context.begin_path();
-    context.set_font(const_cast<unsigned char*>(latoRegular.data()), static_cast<int>(latoRegular.size()), fontPtSize);
-    context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
-    context.text_baseline = canvas_ity::alphabetic;
-    context.fill_text(label.c_str(), position[0] + margins + rectWidth + margins, position[1] + margins + (static_cast<float>(config.imageDim) / 3.0f) + (heightInc * fontPtSize));
-    context.close_path();
-    heightInc++;
-  }
-}
-
-// -----------------------------------------------------------------------------
-void PoleFigureCompositor::drawTitle(canvas_ity::canvas& context, const std::string& title, float pageWidth, float fontPtSize, float margins, const std::vector<unsigned char>& latoBold)
-{
-  if(title.empty())
-  {
-    return;
-  }
-  context.begin_path();
-  context.set_font(const_cast<unsigned char*>(latoBold.data()), static_cast<int>(latoBold.size()), fontPtSize);
-  context.set_color(canvas_ity::fill_style, 0.0f, 0.0f, 0.0f, 1.0f);
-  context.text_baseline = canvas_ity::alphabetic;
-  context.fill_text(title.c_str(), margins, margins + fontPtSize);
-  context.close_path();
-}
-
-// -----------------------------------------------------------------------------
-UInt8ArrayType::Pointer PoleFigureCompositor::flipAndMirror(UInt8ArrayType* src, int imageDim)
-{
-  UInt8ArrayType::Pointer converted = UInt8ArrayType::CreateArray(static_cast<size_t>(imageDim) * imageDim, src->getComponentDimensions(), src->getName(), true);
-  for(int y = 0; y < imageDim; y++)
-  {
-    const int destY = imageDim - 1 - y;
-    for(int x = 0; x < imageDim; x++)
-    {
-      const size_t indexSrc = static_cast<size_t>(y) * imageDim + x;
-      const size_t indexDest = static_cast<size_t>(destY) * imageDim + x;
-      uint8_t* srcPtr = src->getTuplePointer(indexSrc);
-      converted->setTuple(indexDest, srcPtr);
-    }
-  }
-  return converted;
+  DrawPoleFigureInfoBlock(context, config, position, margins, fontPtSize, latoRegular);
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Source/EbsdLib/Utilities/PoleFigureCompositor.h b/Source/EbsdLib/Utilities/PoleFigureCompositor.h
index 247a8086..497d5007 100644
--- a/Source/EbsdLib/Utilities/PoleFigureCompositor.h
+++ b/Source/EbsdLib/Utilities/PoleFigureCompositor.h
@@ -38,6 +38,7 @@
 #include "EbsdLib/Core/EbsdDataArray.hpp"
 #include "EbsdLib/Core/EbsdLibConstants.h"
 #include "EbsdLib/EbsdLib.h"
+#include "EbsdLib/Utilities/PoleFigureUtilities.h"
 
 namespace canvas_ity
 {
@@ -57,6 +58,15 @@ enum class PoleFigureLayoutType : uint32_t
   Square = 2      ///< 2x2 grid arrangement
 };
 
+/**
+ * @brief Visual style for discrete pole figure markers (fully opaque filled circles).
+ */
+struct EbsdLib_EXPORT DiscreteMarkerStyle
+{
+  std::array<float, 3> color = {0.0f, 0.0f, 0.0f}; ///< Marker RGB color, default black (markers are opaque)
+  float radiusFraction = 0.006f;                   ///< Marker radius as a fraction of the figure diameter (imageDim)
+};
+
 /**
  * @brief Configuration for generating a complete composite pole figure image.
  *
@@ -67,19 +77,21 @@ enum class PoleFigureLayoutType : uint32_t
 struct EbsdLib_EXPORT CompositePoleFigureConfiguration_t
 {
   // --- Pole figure generation parameters ---
-  ebsdlib::FloatArrayType* eulers = nullptr;   ///< Euler angles in radians (3-component tuples)
-  int imageDim = 512;                          ///< Height/width of each individual pole figure in pixels
-  int lambertDim = 256;                        ///< Lambert square dimension for interpolation
-  int numColors = 32;                          ///< Number of colors in the color table
-  double minScale = 0.0;                       ///< Minimum intensity scale value
-  double maxScale = 1.0;                       ///< Maximum intensity scale value
-  float sphereRadius = 1.0f;                   ///< Sphere radius (should always be 1.0)
-  bool discrete = false;                       ///< Use discrete point sampling instead of Lambert projection
-  bool discreteHeatMap = false;                ///< Use heat map coloring for discrete mode
-  std::string colorMap;                        ///< Name of the color map to use
-  std::vector<std::string> labels;             ///< Labels for the 3 pole figures (e.g., "<001>", "<011>", "<111>")
-  std::vector<unsigned int> order = {0, 1, 2}; ///< Display order of the 3 pole figures
-  bool flipFinalImage = true;                  ///< Flip individual images so +Y points up
+  ebsdlib::FloatArrayType* eulers = nullptr;               ///< Euler angles in radians (3-component tuples)
+  int imageDim = 512;                                      ///< Height/width of each individual pole figure in pixels
+  int lambertDim = 256;                                    ///< Lambert square dimension for interpolation
+  int numColors = 32;                                      ///< Number of colors in the color table
+  double minScale = 0.0;                                   ///< Minimum intensity scale value
+  double maxScale = 1.0;                                   ///< Maximum intensity scale value
+  float sphereRadius = 1.0f;                               ///< Sphere radius (should always be 1.0)
+  bool discrete = false;                                   ///< Use discrete point sampling instead of Lambert projection
+  bool discreteHeatMap = false;                            ///< Use heat map coloring for discrete mode
+  std::string colorMap;                                    ///< Name of the color map to use
+  std::vector<std::string> poleFigureNames;                ///< Labels for the 3 pole figures (e.g., "<001>", "<011>", "<111>")
+  std::vector<unsigned int> order = {0, 1, 2};             ///< Display order of the 3 pole figures
+  bool flipFinalImage = true;                              ///<* If TRUE, the final image will be flipped across the X Axis so that +Y axis points UP
+  std::vector<std::string> axisNames = {"A1", "A2", "A3"}; ///< The string to use for each axis of the pole figure
+  DiscreteMarkerStyle markerStyle;                         ///< Marker style for the discrete (non-heatmap) vector path
 
   // --- Composition parameters ---
   PoleFigureLayoutType layoutType = PoleFigureLayoutType::Horizontal; ///< How to arrange figures and legend
@@ -89,12 +101,11 @@ struct EbsdLib_EXPORT CompositePoleFigureConfiguration_t
   std::string title;                                                  ///< Title text drawn at the top of the composite image
 
   // --- Convention parameters ---
-  /// Cartesian basis convention for hex/trig phases. Default preserves
-  /// current EbsdLib v3 behavior (X||a*) while plumbing is being added;
-  /// this default flips to XParallelA in PR 3 once internal SymOps tables
-  /// are reorganized. Ignored for cubic / tetragonal / orthorhombic /
-  /// monoclinic / triclinic Laue classes. See ebsdlib::HexConvention.
-  ebsdlib::HexConvention hexConvention = ebsdlib::HexConvention::XParallelAStar;
+  /// Cartesian basis convention for hex/trig phases. Defaults to X||a
+  /// (TSL/EDAX/legacy DREAM3D), matching the rest of EbsdLib. Ignored for
+  /// cubic / tetragonal / orthorhombic / monoclinic / triclinic Laue classes.
+  /// See ebsdlib::HexConvention.
+  ebsdlib::HexConvention hexConvention = ebsdlib::HexConvention::XParallelA;
 };
 
 /**
@@ -190,15 +201,18 @@ class EbsdLib_EXPORT PoleFigureCompositor
   void preprocessImages(std::vector<UInt8ArrayType::Pointer>& images, int imageDim, bool flipFinalImage);
   UInt8ArrayType::Pointer compositeToCanvas(const CompositePoleFigureConfiguration_t& config, const std::vector<UInt8ArrayType::Pointer>& images, const LayoutMetrics& layout);
 
-  static void drawPoleFigure(canvas_ity::canvas& context, const UInt8ArrayType& image, std::array<float, 2> origin, int imageDim, const std::string& directionLabel, float fontPtSize, float margins,
-                             const std::vector<unsigned char>& latoBold, const std::vector<unsigned char>& firaSans);
+  static void drawPoleFigure(canvas_ity::canvas& context, const CompositePoleFigureConfiguration_t& config, const UInt8ArrayType& image, std::array<float, 2> origin, const std::string& directionLabel,
+                             float fontPtSize, float margins, const std::vector<unsigned char>& latoBold, const std::vector<unsigned char>& firaSans);
   static void drawScalarBar(canvas_ity::canvas& context, const CompositePoleFigureConfiguration_t& config, std::array<float, 2> position, float margins, float fontPtSize,
                             const std::vector<unsigned char>& latoRegular);
-  static void drawInfoBlock(canvas_ity::canvas& context, const CompositePoleFigureConfiguration_t& config, std::array<float, 2> position, float margins, float fontPtSize,
-                            const std::vector<unsigned char>& latoRegular);
-  static void drawTitle(canvas_ity::canvas& context, const std::string& title, float pageWidth, float fontPtSize, float margins, const std::vector<unsigned char>& latoBold);
-  static UInt8ArrayType::Pointer flipAndMirror(UInt8ArrayType* src, int imageDim);
   static UInt8ArrayType::Pointer convertColorOrder(UInt8ArrayType* src, int imageDim);
 };
 
+/**
+ * @brief Generates a composite pole figure, routing to the correct compositor:
+ * discrete && !discreteHeatMap -> DiscretePoleFigureCompositor (vector markers),
+ * otherwise -> PoleFigureCompositor (raster).
+ */
+EbsdLib_EXPORT CompositePoleFigureResult GeneratePoleFigureComposite(CompositePoleFigureConfiguration_t& config);
+
 } // namespace ebsdlib
diff --git a/Source/EbsdLib/Utilities/PoleFigureProjection.cpp b/Source/EbsdLib/Utilities/PoleFigureProjection.cpp
new file mode 100644
index 00000000..9c2cbcf0
--- /dev/null
+++ b/Source/EbsdLib/Utilities/PoleFigureProjection.cpp
@@ -0,0 +1,16 @@
+#include "EbsdLib/Utilities/PoleFigureProjection.h"
+
+namespace ebsdlib
+{
+std::array<float, 2> StereographicProjectUpperHemisphere(float x, float y, float z)
+{
+  if(z < 0.0f)
+  {
+    x = -x;
+    y = -y;
+    z = -z;
+  }
+  const float denom = 1.0f + z; // z >= 0 here, so denom >= 1 (never zero)
+  return {x / denom, y / denom};
+}
+} // namespace ebsdlib
diff --git a/Source/EbsdLib/Utilities/PoleFigureProjection.h b/Source/EbsdLib/Utilities/PoleFigureProjection.h
new file mode 100644
index 00000000..69473fad
--- /dev/null
+++ b/Source/EbsdLib/Utilities/PoleFigureProjection.h
@@ -0,0 +1,15 @@
+#pragma once
+
+#include <array>
+
+#include "EbsdLib/EbsdLib.h"
+
+namespace ebsdlib
+{
+/**
+ * @brief Projects a unit direction vector to the upper-hemisphere stereographic disk.
+ * Folds any pole with z<0 into the upper hemisphere (negates the vector), then applies
+ * dx=x/(1+z), dy=y/(1+z). Returned coords lie within the unit disk (|d| <= 1).
+ */
+EbsdLib_EXPORT std::array<float, 2> StereographicProjectUpperHemisphere(float x, float y, float z);
+} // namespace ebsdlib
diff --git a/Source/EbsdLib/Utilities/PoleFigureUtilities.h b/Source/EbsdLib/Utilities/PoleFigureUtilities.h
index 72653619..47601676 100644
--- a/Source/EbsdLib/Utilities/PoleFigureUtilities.h
+++ b/Source/EbsdLib/Utilities/PoleFigureUtilities.h
@@ -54,36 +54,36 @@ namespace ebsdlib
  * developer needs to create a 3 element std::vector and set the order index for the
  * Pole Figure. For example the OrthorhombicOps generates 3 Pole Figures in the order
  * of <001>, <100>, <010>. If the developer would like the Pole Figures to appear
- * in the order of <100>, <010>, <100> then the oder needs to be set as [2, 0, 1].
+ * in the order of <100>, <010>, <100> then the order needs to be set as [2, 0, 1].
  *
  * The other interesting item is the Labels. Each LaueOps subclass uses a default
  * label for each Pole Figure. If the developer would like to over ride those labels
  * then this member can be set with a 3 Element std::vector<std::string> with the new labels.
- * Note that the new lables will REPLACE the default labels.
+ * Note that the new labels will REPLACE the default labels.
  */
 struct PoleFigureConfiguration_t
 {
-  ebsdlib::FloatArrayType* eulers; ///<* The Euler Angles (in Radians) to use for the pole figure
-  int imageDim;                    ///<* The height/width of the generated pole figure
-  int lambertDim;                  ///<* The dimensions in voxels of the Lambert Square used for interpolation
-  int numColors;                   ///<* The number of colors to use in the Pole figure
-  double minScale;                 ///<* The minimum scale of the Pole Figure
-  double maxScale;                 ///<* The maximum scale of the Pole Figure
-  float sphereRadius;              ///<* The radius of the Sphere to compute XYZ coords. Should ALWAYS be 1.0
-  bool discrete;                   ///<* Should the Pole Figure be generated as a discrete plot
-  bool discreteHeatMap;            ///<* Should the discrete be colored via a heat map style coloring
-  std::string colorMap;            ///<* Name of the ColorMap to use
-  std::vector<std::string> labels; ///<* The labels for each of the 3 Pole Figures
-  std::vector<unsigned int> order; ///<* The order that the pole figures should appear in.
-  std::string phaseName;           ///<* The Names of the phase
-  bool FlipFinalImage;             ///<* If TRUE, the final image will be flipped across the X Axis so that +Y axis points UP
+  ebsdlib::FloatArrayType* eulers;                         ///<* The Euler Angles (in Radians) to use for the pole figure
+  int imageDim;                                            ///<* The height/width of the generated pole figure
+  int lambertDim;                                          ///<* The dimensions in voxels of the Lambert Square used for interpolation
+  int numColors;                                           ///<* The number of colors to use in the Pole figure
+  double minScale;                                         ///<* The minimum scale of the Pole Figure
+  double maxScale;                                         ///<* The maximum scale of the Pole Figure
+  float sphereRadius;                                      ///<* The radius of the Sphere to compute XYZ coords. Should ALWAYS be 1.0
+  bool discrete;                                           ///<* Should the Pole Figure be generated as a discrete plot
+  bool discreteHeatMap;                                    ///<* Should the discrete be colored via a heat map style coloring
+  std::string colorMap;                                    ///<* Name of the ColorMap to use
+  std::vector<std::string> labels;                         ///<* The labels for each of the 3 Pole Figures
+  std::vector<unsigned int> order;                         ///<* The order that the pole figures should appear in.
+  std::string phaseName;                                   ///<* The Names of the phase
+  bool flipFinalImage = false;                             ///<* If TRUE, the final image will be flipped across the X Axis so that +Y axis points UP
+  std::vector<std::string> axisNames = {"A1", "A2", "A3"}; ///< The string to use for each axis of the pole figure
 
-  ///<* Cartesian basis convention for hex/trig phases. Default preserves
-  /// current EbsdLib v3 behavior (X||a*) while plumbing is being added;
-  /// this default flips to XParallelA in PR 3 once internal SymOps tables
-  /// are reorganized. Ignored for cubic / tetragonal / orthorhombic /
-  /// monoclinic / triclinic Laue classes. See ebsdlib::HexConvention.
-  ebsdlib::HexConvention hexConvention = ebsdlib::HexConvention::XParallelAStar;
+  ///<* Cartesian basis convention for hex/trig phases. Defaults to X||a
+  /// (TSL/EDAX/legacy DREAM3D), matching the rest of EbsdLib. Ignored for
+  /// cubic / tetragonal / orthorhombic / monoclinic / triclinic Laue classes.
+  /// See ebsdlib::HexConvention.
+  ebsdlib::HexConvention hexConvention = ebsdlib::HexConvention::XParallelA;
 };
 
 /**
diff --git a/Source/EbsdLib/Utilities/SourceList.cmake b/Source/EbsdLib/Utilities/SourceList.cmake
index bcf04484..3551cacb 100644
--- a/Source/EbsdLib/Utilities/SourceList.cmake
+++ b/Source/EbsdLib/Utilities/SourceList.cmake
@@ -11,6 +11,7 @@ set(EbsdLib_${DIR_NAME}_HDRS
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ModifiedLambertProjectionArray.h
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ModifiedLambertProjection3D.hpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ComputeStereographicProjection.h
+  ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/PoleFigureProjection.h
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/LambertUtilities.h
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ColorTable.h
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ColorUtilities.h
@@ -24,6 +25,8 @@ set(EbsdLib_${DIR_NAME}_HDRS
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/LatoRegular.hpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/CanvasUtilities.hpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/PoleFigureCompositor.h
+  ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/DiscretePoleFigureCompositor.h
+  ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/PoleFigureChrome.h
     ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/inipp.h
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ColorSpaceUtils.hpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/IColorKey.hpp
@@ -34,6 +37,7 @@ set(EbsdLib_${DIR_NAME}_HDRS
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/PUCMColorKey.hpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/wlenthe_orientation_coloring.hpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ImageCrop.hpp
+  ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/MarkerOccupancyGrid.h
 )
 
 set(EbsdLib_${DIR_NAME}_SRCS
@@ -43,6 +47,7 @@ set(EbsdLib_${DIR_NAME}_SRCS
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ModifiedLambertProjectionArray.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/PoleFigureData.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ComputeStereographicProjection.cpp
+  ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/PoleFigureProjection.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/LambertUtilities.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ColorTable.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ColorUtilities.cpp
@@ -52,12 +57,15 @@ set(EbsdLib_${DIR_NAME}_SRCS
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/CanvasUtilities.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/Fonts.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/PoleFigureCompositor.cpp
+  ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/DiscretePoleFigureCompositor.cpp
+  ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/PoleFigureChrome.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/FundamentalSectorGeometry.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/TSLColorKey.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/NolzeHielscherColorKey.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/GriddedColorKey.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/PUCMColorKey.cpp
   ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/ImageCrop.cpp
+  ${EbsdLibProj_SOURCE_DIR}/Source/EbsdLib/${DIR_NAME}/MarkerOccupancyGrid.cpp
 )
 # # QT5_WRAP_CPP( EbsdLib_Generated_MOC_SRCS ${EbsdLib_Utilities_MOC_HDRS} )
 # set_source_files_properties( ${EbsdLib_Generated_MOC_SRCS} PROPERTIES HEADER_FILE_ONLY TRUE)
diff --git a/Source/Test/CMakeLists.txt b/Source/Test/CMakeLists.txt
index 824b7fe3..7c0e0647 100644
--- a/Source/Test/CMakeLists.txt
+++ b/Source/Test/CMakeLists.txt
@@ -49,6 +49,8 @@ set(EbsdLib_UnitTest_SRCS
     ${EbsdLibProj_SOURCE_DIR}/Source/Test/ModifiedLambertProjectionArrayTest.cpp
     ${EbsdLibProj_SOURCE_DIR}/Source/Test/PoleFigureUtilitiesTest.cpp
     ${EbsdLibProj_SOURCE_DIR}/Source/Test/PoleFigureCompositorTest.cpp
+    ${EbsdLibProj_SOURCE_DIR}/Source/Test/DiscretePoleFigureCompositorTest.cpp
+    ${EbsdLibProj_SOURCE_DIR}/Source/Test/PoleFigureProjectionTest.cpp
     ${EbsdLibProj_SOURCE_DIR}/Source/Test/PoleFigureLaueComparisonTest.cpp
     ${EbsdLibProj_SOURCE_DIR}/Source/Test/PoleFigurePositionTest.cpp
     ${EbsdLibProj_SOURCE_DIR}/Source/Test/RenderEbsdSmokeTest.cpp
@@ -66,6 +68,7 @@ set(EbsdLib_UnitTest_SRCS
     ${EbsdLibProj_SOURCE_DIR}/Source/Test/GriddedColorKeyTest.cpp
     ${EbsdLibProj_SOURCE_DIR}/Source/Test/PUCMColorKeyTest.cpp
     ${EbsdLibProj_SOURCE_DIR}/Source/Test/ColorKeyKindTest.cpp
+    ${EbsdLibProj_SOURCE_DIR}/Source/Test/MarkerOccupancyGridTest.cpp
 )
 
 
@@ -90,8 +93,8 @@ if(EBSDLIB_DOWNLOAD_TEST_FILES)
     file(MAKE_DIRECTORY "${EBSDLIB_DATA_DIR}/TestFiles/")
   endif()
 
-  ebsdlib_download_test_data(EBSDLIB_DATA_DIR ${EBSDLIB_DATA_DIR} ARCHIVE_NAME Laue_Orientation_Clusters_v6.tar.gz SHA512 f327d3d2a86d539b3c1f3fc755d8f5741d8eb68aab45fc1ab54d9e5db48643903f9a37898366203e6eb2e7585ce57c6e186cca2107acb1a53318b813345cb10a)
-  ebsdlib_download_test_data(EBSDLIB_DATA_DIR ${EBSDLIB_DATA_DIR} ARCHIVE_NAME Pole_Figure_Images_v2.tar.gz SHA512 f272af212fa634d702129721de4b5bbb62a89a0cf872f4230df3ad809cf5c7c6c075847d93efe9c1866c2a832893602b9486937679bb0a1d5987df26f9766799)
+ ebsdlib_download_test_data(EBSDLIB_DATA_DIR ${EBSDLIB_DATA_DIR} ARCHIVE_NAME Laue_Orientation_Clusters_v6.tar.gz SHA512 f327d3d2a86d539b3c1f3fc755d8f5741d8eb68aab45fc1ab54d9e5db48643903f9a37898366203e6eb2e7585ce57c6e186cca2107acb1a53318b813345cb10a)
+ ebsdlib_download_test_data(EBSDLIB_DATA_DIR ${EBSDLIB_DATA_DIR} ARCHIVE_NAME Pole_Figure_Images_v3.tar.gz SHA512 0930baa54ceb7c1d468e6f9b1ee0ffffbdf63b881b7199484136377cc30e7049e94f4cb37b9f199fd53da32c4aac1dd448d5e0b7ef86314696561f07e4ba6ea9)
 
 endif()
 
diff --git a/Source/Test/CanvasUtilitiesTest.cpp b/Source/Test/CanvasUtilitiesTest.cpp
index 66cd7eff..0754ba65 100644
--- a/Source/Test/CanvasUtilitiesTest.cpp
+++ b/Source/Test/CanvasUtilitiesTest.cpp
@@ -2,8 +2,10 @@
 
 #include "EbsdLib/Core/EbsdDataArray.hpp"
 #include "EbsdLib/Utilities/CanvasUtilities.hpp"
+#include "EbsdLib/Utilities/PngWriter.h"
 
 #include <cmath>
+#include <string>
 #include <vector>
 
 using namespace ebsdlib;
@@ -36,6 +38,69 @@ TEST_CASE("ebsdlib::CanvasUtilitiesTest::MirrorImage", "[EbsdLib][CanvasUtilitie
   REQUIRE(bottomPixel[2] == 0);   // B
 }
 
+// -----------------------------------------------------------------------------
+// Pins down EXACTLY what MirrorImage() does to known pixel data. This is the
+// "rotate 180 degrees about the horizontal (X) axis" operation used by
+// PoleFigureCompositor when flipFinalImage is set.
+//
+// Each source pixel encodes its own coordinates: R = x (column), G = y (row).
+// After the transform we read each destination pixel and recover which source
+// pixel landed there. A 180-degree rotation about the X axis is a vertical
+// flip: column x is preserved, row y is reversed (y -> dim-1-y).
+//
+//   For comparison, the alternatives this test distinguishes:
+//     * vertical flip   (about X):  dest(x,y) == src(x, dim-1-y)   <-- expected
+//     * horizontal flip (about Y):  dest(x,y) == src(dim-1-x, y)
+//     * 180 in-plane    (about Z):  dest(x,y) == src(dim-1-x, dim-1-y)
+// -----------------------------------------------------------------------------
+TEST_CASE("ebsdlib::CanvasUtilitiesTest::MirrorImageCoordinateMapping", "[EbsdLib][CanvasUtilitiesTest]")
+{
+  const int dim = 4;
+  std::vector<size_t> cDims = {4}; // RGBA
+  auto src = EbsdDataArray<uint8_t>::CreateArray(static_cast<size_t>(dim) * dim, cDims, "MirrorCoordSrc", true);
+
+  // Encode each pixel's coordinates into its color so the mapping is observable.
+  for(int y = 0; y < dim; y++)
+  {
+    for(int x = 0; x < dim; x++)
+    {
+      uint8_t tuple[4] = {static_cast<uint8_t>(x), static_cast<uint8_t>(y), 0, 255};
+      src->setTuple(static_cast<size_t>(y) * dim + x, tuple);
+    }
+  }
+
+  auto result = MirrorImage<uint8_t>(src.get(), dim);
+  REQUIRE(result != nullptr);
+  REQUIRE(result->getNumberOfTuples() == static_cast<size_t>(dim) * dim);
+  REQUIRE(result->getNumberOfComponents() == 4);
+
+  // Every destination pixel must hold the source pixel from the vertically
+  // mirrored row: dest(x,y) == src(x, dim-1-y).
+  for(int y = 0; y < dim; y++)
+  {
+    for(int x = 0; x < dim; x++)
+    {
+      uint8_t* destPixel = result->getTuplePointer(static_cast<size_t>(y) * dim + x);
+      const int recoveredSrcX = destPixel[0];
+      const int recoveredSrcY = destPixel[1];
+      REQUIRE(recoveredSrcX == x);             // column preserved
+      REQUIRE(recoveredSrcY == (dim - 1 - y)); // row reversed
+      REQUIRE(destPixel[3] == 255);            // alpha preserved
+    }
+  }
+
+  // Explicit corner checks make the handedness unambiguous:
+  //   top-left  dest(0,0)     <- src(0, dim-1)     (bottom-left)
+  //   top-right dest(dim-1,0) <- src(dim-1, dim-1) (bottom-right)
+  uint8_t* topLeft = result->getTuplePointer(0);
+  REQUIRE(topLeft[0] == 0);
+  REQUIRE(topLeft[1] == dim - 1);
+
+  uint8_t* topRight = result->getTuplePointer(static_cast<size_t>(dim) - 1);
+  REQUIRE(topRight[0] == dim - 1);
+  REQUIRE(topRight[1] == dim - 1);
+}
+
 // -----------------------------------------------------------------------------
 TEST_CASE("ebsdlib::CanvasUtilitiesTest::RotateImage90About001", "[EbsdLib][CanvasUtilitiesTest]")
 {
@@ -149,3 +214,70 @@ TEST_CASE("ebsdlib::CanvasUtilitiesTest::GeneratePointsOnUnitCircle", "[EbsdLib]
     REQUIRE(dot == Approx(0.0).margin(1e-10));
   }
 }
+
+// -----------------------------------------------------------------------------
+// Hidden test (note the leading '.' in the tag): does NOT run as part of the
+// normal suite. Run explicitly with:
+//   ./Bin/EbsdLibUnitTest "[MirrorVisual]"
+//
+// Renders a recognizable, deliberately asymmetric RGBA image, applies
+// MirrorImage() (the "rotate 180 about X" / vertical-flip used by the pole
+// figure compositor), and writes both the input and output as PNG files so the
+// flip can be inspected by eye.
+// -----------------------------------------------------------------------------
+TEST_CASE("ebsdlib::CanvasUtilitiesTest::MirrorImageVisualExport", "[.][MirrorVisual]")
+{
+  const int dim = 256;
+  const std::string outDir = "/private/tmp/claude-501/-Users-mjackson-Workspace9-DREAM3DNX/485763c8-b0c7-48d6-aa56-f82ab8220d1b/scratchpad";
+
+  std::vector<size_t> cDims = {4}; // RGBA
+  auto src = EbsdDataArray<uint8_t>::CreateArray(static_cast<size_t>(dim) * dim, cDims, "MirrorVisualSrc", true);
+
+  // Base pattern: a gradient that is unmistakable about orientation.
+  //   R increases left -> right (encodes column x)
+  //   G increases top  -> bottom (encodes row y)
+  for(int y = 0; y < dim; y++)
+  {
+    for(int x = 0; x < dim; x++)
+    {
+      uint8_t r = static_cast<uint8_t>((x * 255) / (dim - 1));
+      uint8_t g = static_cast<uint8_t>((y * 255) / (dim - 1));
+      uint8_t tuple[4] = {r, g, 0, 255};
+      src->setTuple(static_cast<size_t>(y) * dim + x, tuple);
+    }
+  }
+
+  // Solid BLUE horizontal bar across the TOP 1/8 of the image.
+  for(int y = 0; y < dim / 8; y++)
+  {
+    for(int x = 0; x < dim; x++)
+    {
+      uint8_t tuple[4] = {0, 0, 255, 255};
+      src->setTuple(static_cast<size_t>(y) * dim + x, tuple);
+    }
+  }
+
+  // Solid WHITE square marker in the TOP-LEFT corner.
+  for(int y = 0; y < dim / 8; y++)
+  {
+    for(int x = 0; x < dim / 8; x++)
+    {
+      uint8_t tuple[4] = {255, 255, 255, 255};
+      src->setTuple(static_cast<size_t>(y) * dim + x, tuple);
+    }
+  }
+
+  auto result = MirrorImage<uint8_t>(src.get(), dim);
+  REQUIRE(result != nullptr);
+
+  auto inResult = PngWriter::WriteColorImage(outDir + "/mirror_input.png", dim, dim, 4, src->data());
+  auto outResult = PngWriter::WriteColorImage(outDir + "/mirror_output.png", dim, dim, 4, result->data());
+  REQUIRE(inResult.first == 0);
+  REQUIRE(outResult.first == 0);
+
+  // After a vertical flip, the BLUE bar and WHITE marker should be at the BOTTOM.
+  uint8_t* bottomLeft = result->getTuplePointer(static_cast<size_t>(dim - 1) * dim);
+  REQUIRE(bottomLeft[0] == 255); // white marker now bottom-left
+  REQUIRE(bottomLeft[1] == 255);
+  REQUIRE(bottomLeft[2] == 255);
+}
diff --git a/Source/Test/DiscretePoleFigureCompositorTest.cpp b/Source/Test/DiscretePoleFigureCompositorTest.cpp
new file mode 100644
index 00000000..7ab40bbf
--- /dev/null
+++ b/Source/Test/DiscretePoleFigureCompositorTest.cpp
@@ -0,0 +1,221 @@
+#include <catch2/catch.hpp>
+
+#include "EbsdLib/Core/EbsdDataArray.hpp"
+#include "EbsdLib/Utilities/DiscretePoleFigureCompositor.h"
+#include "EbsdLib/Utilities/PngWriter.h"
+#include "EbsdLib/Utilities/PoleFigureCompositor.h"
+
+#include <array>
+#include <chrono>
+#include <iostream>
+#include <vector>
+
+using namespace ebsdlib;
+
+namespace
+{
+FloatArrayType::Pointer MakeEulers(size_t n)
+{
+  std::vector<size_t> compDims = {3};
+  auto eulers = FloatArrayType::CreateArray(n, compDims, "TestEulers", true);
+  for(size_t i = 0; i < n; i++)
+  {
+    float* ptr = eulers->getTuplePointer(i);
+    ptr[0] = static_cast<float>((i * 7 + 3) % 360) * 0.0174533f;
+    ptr[1] = static_cast<float>((i * 13 + 5) % 180) * 0.0174533f;
+    ptr[2] = static_cast<float>((i * 19 + 11) % 360) * 0.0174533f;
+  }
+  return eulers;
+}
+
+CompositePoleFigureConfiguration_t MakeConfig(FloatArrayType* eulers)
+{
+  CompositePoleFigureConfiguration_t config;
+  config.eulers = eulers;
+  config.imageDim = 256;
+  config.discrete = true;
+  config.discreteHeatMap = false;
+  config.laueOpsIndex = 0; // Hexagonal-High (6/mmm)
+  config.layoutType = PoleFigureLayoutType::Horizontal;
+  config.phaseName = "TestPhase";
+  config.phaseNumber = 1;
+  config.title = "Discrete Vector Test";
+  return config;
+}
+} // namespace
+
+TEST_CASE("ebsdlib::DiscretePoleFigureCompositorTest::MarkerSprite", "[EbsdLib][DiscretePoleFigureCompositorTest]")
+{
+  int size = 0;
+  std::array<float, 3> red = {1.0f, 0.0f, 0.0f};
+  UInt8ArrayType::Pointer sprite = RenderDiscreteMarkerSprite(red, 6.0f, size);
+
+  REQUIRE(sprite != nullptr);
+  REQUIRE(size >= 12);    // diameter ~ 2*r + padding
+  REQUIRE(size % 2 == 0); // even for centered blits
+  REQUIRE(sprite->getNumberOfTuples() == static_cast<size_t>(size) * size);
+  REQUIRE(sprite->getNumberOfComponents() == 4);
+
+  // Center pixel is opaque red.
+  uint8_t* center = sprite->getTuplePointer(static_cast<size_t>(size / 2) * size + size / 2);
+  REQUIRE(center[3] == 255);
+  REQUIRE(center[0] > 200); // red channel high
+  REQUIRE(center[2] < 60);  // blue channel low
+
+  // Corner pixel is fully transparent (outside the circle).
+  uint8_t* corner = sprite->getTuplePointer(0);
+  REQUIRE(corner[3] == 0);
+}
+
+TEST_CASE("ebsdlib::DiscretePoleFigureCompositorTest::ProducesImage", "[EbsdLib][DiscretePoleFigureCompositorTest]")
+{
+  auto eulers = MakeEulers(500);
+  CompositePoleFigureConfiguration_t config = MakeConfig(eulers.get());
+
+  DiscretePoleFigureCompositor compositor;
+  CompositePoleFigureResult result = compositor.generateCompositeImage(config);
+
+  REQUIRE(result.image != nullptr);
+  REQUIRE(result.width > 0);
+  REQUIRE(result.height > 0);
+  REQUIRE(result.image->getNumberOfComponents() == 4);
+  REQUIRE(result.image->getNumberOfTuples() == static_cast<size_t>(result.width) * result.height);
+
+  bool hasNonWhite = false;
+  for(size_t i = 0; i < result.image->getNumberOfTuples() && !hasNonWhite; i++)
+  {
+    uint8_t* px = result.image->getTuplePointer(i);
+    if(px[0] != 255 || px[1] != 255 || px[2] != 255)
+    {
+      hasNonWhite = true;
+    }
+  }
+  REQUIRE(hasNonWhite);
+}
+
+TEST_CASE("ebsdlib::DiscretePoleFigureCompositorTest::IsDeterministic", "[EbsdLib][DiscretePoleFigureCompositorTest]")
+{
+  auto eulers = MakeEulers(800);
+  UInt8ArrayType::Pointer reference;
+  for(int run = 0; run < 10; run++)
+  {
+    CompositePoleFigureConfiguration_t config = MakeConfig(eulers.get());
+    DiscretePoleFigureCompositor compositor;
+    CompositePoleFigureResult result = compositor.generateCompositeImage(config);
+    REQUIRE(result.image != nullptr);
+    if(run == 0)
+    {
+      reference = result.image;
+      continue;
+    }
+    REQUIRE(result.image->getSize() == reference->getSize());
+    size_t mismatches = 0;
+    for(size_t i = 0; i < reference->getSize(); i++)
+    {
+      if((*reference)[i] != (*result.image)[i])
+      {
+        mismatches++;
+      }
+    }
+    REQUIRE(mismatches == 0);
+  }
+}
+
+TEST_CASE("ebsdlib::DiscretePoleFigureCompositorTest::DispatchRoutesByConfig", "[EbsdLib][DiscretePoleFigureCompositorTest]")
+{
+  auto eulers = MakeEulers(400);
+
+  {
+    CompositePoleFigureConfiguration_t config = MakeConfig(eulers.get());
+    config.discrete = true;
+    config.discreteHeatMap = false;
+    CompositePoleFigureResult result = GeneratePoleFigureComposite(config);
+    REQUIRE(result.image != nullptr);
+    REQUIRE(result.width > 0);
+  }
+  {
+    CompositePoleFigureConfiguration_t config = MakeConfig(eulers.get());
+    config.discrete = false;
+    config.discreteHeatMap = false;
+    CompositePoleFigureResult result = GeneratePoleFigureComposite(config);
+    REQUIRE(result.image != nullptr);
+    REQUIRE(result.width > 0);
+  }
+}
+
+TEST_CASE("ebsdlib::DiscretePoleFigureCompositorTest::LargePointCountPerformance", "[EbsdLib][DiscretePoleFigureCompositorTest]")
+{
+  // 250k orientations * (hex symmetry multiplicities up to 6) => >1M poles per figure.
+  auto eulers = MakeEulers(250000);
+  CompositePoleFigureConfiguration_t config = MakeConfig(eulers.get());
+  config.imageDim = 512;
+
+  const auto start = std::chrono::steady_clock::now();
+  CompositePoleFigureResult result = GeneratePoleFigureComposite(config);
+  const auto elapsed = std::chrono::steady_clock::now() - start;
+  const double seconds = std::chrono::duration<double>(elapsed).count();
+  std::cout << "Discrete >1M-pole render: " << seconds << " s" << std::endl;
+
+  REQUIRE(result.image != nullptr);
+  // Generous regression guard: decimation+sprite must keep this well under a minute.
+  // A per-point arc+fill regression would take many minutes and trip this.
+  REQUIRE(seconds < 60.0);
+}
+
+TEST_CASE("ebsdlib::DiscretePoleFigureCompositorTest::HonorsFlipFinalImage", "[EbsdLib][DiscretePoleFigureCompositorTest]")
+{
+  auto eulers = MakeEulers(1500);
+
+  auto render = [&](bool flip) {
+    CompositePoleFigureConfiguration_t config = MakeConfig(eulers.get());
+    config.flipFinalImage = flip;
+    return GeneratePoleFigureComposite(config);
+  };
+  CompositePoleFigureResult up = render(true);
+  CompositePoleFigureResult down = render(false);
+  REQUIRE(up.image != nullptr);
+  REQUIRE(down.image != nullptr);
+  REQUIRE(up.width == down.width);
+
+  // Figure box for family 1 (default order {0,1,2} => display slot 1).
+  CompositePoleFigureConfiguration_t cfg = MakeConfig(eulers.get());
+  LayoutMetrics layout = PoleFigureCompositor::computeLayoutMetrics(cfg);
+  const auto origin = layout.origins[1];
+  const int x0 = static_cast<int>(origin[0] + layout.margins);
+  const int y0 = static_cast<int>(origin[1] + layout.fontPtSize * 2.0f + layout.margins * 2.0f);
+  const int dim = cfg.imageDim;
+  const int W = up.width;
+
+  // Count bytes that differ within the figure-1 box; the marker layer must move.
+  size_t boxDiffs = 0;
+  for(int y = y0; y < y0 + dim; y++)
+  {
+    for(int x = x0; x < x0 + dim; x++)
+    {
+      const size_t idx = (static_cast<size_t>(y) * W + x) * 4;
+      for(int c = 0; c < 4; c++)
+      {
+        if((*up.image)[idx + c] != (*down.image)[idx + c])
+        {
+          boxDiffs++;
+        }
+      }
+    }
+  }
+  REQUIRE(boxDiffs > 0); // markers are vertically mirrored by the flag
+}
+
+// Hidden manual-validation aid. Run explicitly:
+//   ./Bin/EbsdLibUnitTest "[DiscreteVisual]"
+// Writes discrete_markers.png in the current directory for eyeballing vs MTEX/OIM.
+TEST_CASE("ebsdlib::DiscretePoleFigureCompositorTest::VisualExport", "[.][DiscreteVisual]")
+{
+  auto eulers = MakeEulers(2600);
+  CompositePoleFigureConfiguration_t config = MakeConfig(eulers.get());
+  config.imageDim = 512;
+
+  CompositePoleFigureResult result = GeneratePoleFigureComposite(config);
+  REQUIRE(result.image != nullptr);
+  auto r = PngWriter::WriteColorImage("./discrete_markers.png", result.width, result.height, 4, result.image->data());
+  REQUIRE(r.first == 0);
+}
diff --git a/Source/Test/FundamentalSectorGeometryTest.cpp b/Source/Test/FundamentalSectorGeometryTest.cpp
index 2e8f1101..13899ad1 100644
--- a/Source/Test/FundamentalSectorGeometryTest.cpp
+++ b/Source/Test/FundamentalSectorGeometryTest.cpp
@@ -1,7 +1,7 @@
 #include <catch2/catch.hpp>
 
-#include "EbsdLib/Utilities/FundamentalSectorGeometry.hpp"
 #include "EbsdLib/Math/EbsdLibMath.h"
+#include "EbsdLib/Utilities/FundamentalSectorGeometry.hpp"
 
 #include <cmath>
 
diff --git a/Source/Test/ImageCropTest.cpp b/Source/Test/ImageCropTest.cpp
index 4152c1e5..35842ed1 100644
--- a/Source/Test/ImageCropTest.cpp
+++ b/Source/Test/ImageCropTest.cpp
@@ -12,9 +12,9 @@
 #include "EbsdLib/Core/EbsdDataArray.hpp"
 #include "EbsdLib/Utilities/ImageCrop.hpp"
 
+#include <array>
 #include <cstdint>
 #include <vector>
-#include <array>
 
 using namespace ebsdlib;
 
diff --git a/Source/Test/InversePoleFigureTest.cpp b/Source/Test/InversePoleFigureTest.cpp
index c24a61ed..85563807 100644
--- a/Source/Test/InversePoleFigureTest.cpp
+++ b/Source/Test/InversePoleFigureTest.cpp
@@ -85,7 +85,7 @@ ebsdlib::FloatArrayType::Pointer generateSingleCrystalEulers(size_t numOrientati
   return eulers;
 }
 
-// Standard orthogonal sample directions: RD=[1,0,0], TD=[0,1,0], ND=[0,0,1]
+// Standard orthogonal sample directions: A1=[1,0,0], A2=[0,1,0], A3=[0,0,1]
 InversePoleFigureConfiguration_t createDefaultConfig(ebsdlib::FloatArrayType* eulers)
 {
   InversePoleFigureConfiguration_t config;
@@ -97,7 +97,7 @@ InversePoleFigureConfiguration_t createDefaultConfig(ebsdlib::FloatArrayType* eu
   config.numColors = 32;
   config.colorMap = "Default";
   config.normalizeMRD = true;
-  config.labels = {"RD", "TD", "ND"};
+  config.labels = {"A1", "A2", "A3"};
   config.phaseName = "TestPhase";
   config.FlipFinalImage = false;
   return config;
@@ -117,7 +117,7 @@ TEST_CASE("ebsdlib::InversePoleFigureTest::Configuration_Fields", "[EbsdLib][Inv
   config.numColors = 32;
   config.colorMap = "Default";
   config.normalizeMRD = true;
-  config.labels = {"RD", "TD", "ND"};
+  config.labels = {"A1", "A2", "A3"};
   config.phaseName = "Phase1";
   config.FlipFinalImage = false;
 
@@ -321,7 +321,7 @@ TEST_CASE("ebsdlib::InversePoleFigureTest::GenerateInversePoleFigure_MRD_vs_Coun
 TEST_CASE("ebsdlib::InversePoleFigureTest::SingleCrystalTexture_Cubic", "[EbsdLib][InversePoleFigureTest]")
 {
   // All orientations are identity (0, 0, 0 Euler angles)
-  // For ND=[0,0,1], the crystal direction in the SST should be [001]
+  // For A3=[0,0,1], the crystal direction in the SST should be [001]
   auto eulers = generateSingleCrystalEulers(500, 0.0f, 0.0f, 0.0f);
   auto ops = LaueOps::GetAllOrientationOps();
   auto& cubicOps = *ops[1];
@@ -393,7 +393,7 @@ TEST_CASE("ebsdlib::InversePoleFigureTest::AnnotatedIPFDensity_PropagatesHexConv
   configAStar.numColors = 16;
   configAStar.colorMap = "Default";
   configAStar.normalizeMRD = false;
-  configAStar.labels = {"RD", "TD", "ND"};
+  configAStar.labels = {"A1", "A2", "A3"};
   configAStar.phaseName = "TestHex";
   configAStar.FlipFinalImage = false;
   configAStar.hexConvention = ebsdlib::HexConvention::XParallelAStar;
diff --git a/Source/Test/LaueOpsTest.cpp b/Source/Test/LaueOpsTest.cpp
index b84583c1..69103121 100644
--- a/Source/Test/LaueOpsTest.cpp
+++ b/Source/Test/LaueOpsTest.cpp
@@ -24,42 +24,38 @@
 using namespace ebsdlib;
 
 // -----------------------------------------------------------------------------
-// PR 2i regression tests: getDefaultPoleFigureNames must honor HexConvention.
-// Under X||a we follow the OIM/EDAX naming convention for the a-family
-// ({"<2-1-10>"}); under X||a* we follow MTEX's choice ({"<11-20>"}). The
-// labels are sym-equivalent representatives of the same orbit, but they're
-// what the corresponding software ecosystem prints, and a user reading
-// EbsdLib output expects to see what their toolchain (OIM vs MTEX) labels.
+// getDefaultPoleFigureNames returns the plotted plane-normal families in brace
+// (plane-family) notation. The family identity does NOT depend on HexConvention:
+// X||a vs X||a* is a 30 deg rotation of the Cartesian basis about c, which only
+// moves where the poles land in the figure (handled in the direction tables),
+// not which family is plotted. So the labels are identical for both conventions:
+// {0001}, {10-10}, {11-20}. ({2-1-10} is a synonym for the a-axis family {11-20};
+// we use the standard {11-20} for both conventions rather than switching titles.)
 //
-// Trigonal classes have two distinct prism families and the OIM/MTEX label
-// dichotomy doesn't apply cleanly there — we don't assert difference between
-// conventions for those, only that the conv parameter is plumbed (no crash,
-// returns three non-empty strings).
+// Trigonal classes have their own prism-family structure; we only assert that the
+// conv parameter is plumbed (no crash, three non-empty strings).
 TEST_CASE("ebsdlib::LaueOpsTest::GetDefaultPoleFigureNames_HexConvention", "[EbsdLib][LaueOpsTest]")
 {
-  SECTION("HexagonalHigh: a-family label flips between conventions")
+  SECTION("HexagonalHigh: family labels are convention-independent")
   {
     HexagonalOps ops;
     auto labelsA = ops.getDefaultPoleFigureNames(ebsdlib::HexConvention::XParallelA);
     auto labelsAStar = ops.getDefaultPoleFigureNames(ebsdlib::HexConvention::XParallelAStar);
-    CHECK(labelsA[0] == "<0001>");
-    CHECK(labelsAStar[0] == "<0001>");
-    CHECK(labelsA[1] == labelsAStar[1]); // prism slot identical
-    CHECK(labelsA[2] != labelsAStar[2]); // a-family slot differs
-    CHECK(labelsA[2] == "<2-1-10>");
-    CHECK(labelsAStar[2] == "<11-20>");
+    CHECK(labelsA == labelsAStar); // family identity is convention-independent
+    CHECK(labelsA[0] == "{0001}");
+    CHECK(labelsA[1] == "{10-10}");
+    CHECK(labelsA[2] == "{11-20}");
   }
 
-  SECTION("HexagonalLow: same a-family flip as HexagonalHigh")
+  SECTION("HexagonalLow: same convention-independent labels as HexagonalHigh")
   {
     HexagonalLowOps ops;
     auto labelsA = ops.getDefaultPoleFigureNames(ebsdlib::HexConvention::XParallelA);
     auto labelsAStar = ops.getDefaultPoleFigureNames(ebsdlib::HexConvention::XParallelAStar);
-    CHECK(labelsA[0] == "<0001>");
-    CHECK(labelsA[1] == labelsAStar[1]);
-    CHECK(labelsA[2] != labelsAStar[2]);
-    CHECK(labelsA[2] == "<2-1-10>");
-    CHECK(labelsAStar[2] == "<11-20>");
+    CHECK(labelsA == labelsAStar);
+    CHECK(labelsA[0] == "{0001}");
+    CHECK(labelsA[1] == "{10-10}");
+    CHECK(labelsA[2] == "{11-20}");
   }
 
   SECTION("Trigonal classes: conv parameter is plumbed without crash")
@@ -92,11 +88,11 @@ TEST_CASE("ebsdlib::LaueOpsTest::GetDefaultPoleFigureNames_HexConvention", "[Ebs
 }
 
 // -----------------------------------------------------------------------------
-// PR 2i regression test: HexagonalOps::generatePoleFigure must propagate
-// config.hexConvention into its internal getDefaultPoleFigureNames() call.
-// Without this, the rendered PF panel labels are stuck on whatever the
-// no-arg default returns regardless of caller intent.
-TEST_CASE("ebsdlib::LaueOpsTest::GeneratePoleFigure_PropagatesHexConvention", "[EbsdLib][LaueOpsTest]")
+// HexagonalOps::generatePoleFigure must assign the correct family labels to the
+// three rendered figures. Family labels are convention-independent (the X||a vs
+// X||a* choice only rotates pole positions, not family identity), so both
+// conventions must yield the standard {0001}/{10-10}/{11-20} titles.
+TEST_CASE("ebsdlib::LaueOpsTest::GeneratePoleFigure_AssignsFamilyLabels", "[EbsdLib][LaueOpsTest]")
 {
   HexagonalOps ops;
 
@@ -121,12 +117,12 @@ TEST_CASE("ebsdlib::LaueOpsTest::GeneratePoleFigure_PropagatesHexConvention", "[
   auto figuresA = ops.generatePoleFigure(cfgA);
   auto figuresAStar = ops.generatePoleFigure(cfgAStar);
 
-  // The renderer assigns the names array to figuresA[i]->getName(); we use
-  // those to verify the convention-aware string is what made it through.
+  // The renderer assigns the names array to figuresA[i]->getName(); the family
+  // labels are convention-independent, so both conventions yield {11-20}.
   REQUIRE(figuresA.size() == 3ULL);
   REQUIRE(figuresAStar.size() == 3ULL);
-  CHECK(figuresA[2]->getName() == "<2-1-10>");
-  CHECK(figuresAStar[2]->getName() == "<11-20>");
+  CHECK(figuresA[2]->getName() == "{11-20}");
+  CHECK(figuresAStar[2]->getName() == "{11-20}");
 }
 
 // -----------------------------------------------------------------------------
@@ -690,3 +686,136 @@ TEST_CASE("ebsdlib::LaueOpsTest::SymOpGroupClosure", "[EbsdLib][LaueOpsTest]")
     }
   }
 }
+
+// -----------------------------------------------------------------------------
+// Strict IPF-color assertions for the standard-stereographic-triangle (SST)
+// corners of EVERY Laue class. At the identity orientation the crystal frame
+// equals the sample frame, so a reference direction maps directly onto that
+// crystal direction; the IPF color key then paints the three SST corners as the
+// pure primaries. The mapping is universal:
+//
+//   IPF legend corner -> color (TSL key)
+//   -------------------------------------------------------------------------
+//   SST apex (principal axis, chi = 0)        -> RED   (255,  0,  0)
+//   eta = etaMin edge corner (chi = chiMax)   -> GREEN (  0,255,  0)
+//   eta = etaMax edge corner (chi = chiMax)   -> BLUE  (  0,  0,255)
+//
+//   Laue class            eta[min,max] deg   apex    green(etaMin)  blue(etaMax)
+//   Cubic       m-3m       [   0,  45]        [001]   [101]          [111]
+//   Cubic-Low   m-3        [   0,  90]        [001]   [011]          eta-max edge
+//   Hexagonal   6/mmm      [   0,  30]        [0001]  [2-1-10]       [10-10]
+//   Hexagonal-L 6/m        [   0,  60]        [0001]  [2-1-10]       [11-20]
+//   Tetragonal  4/mmm      [   0,  45]        [001]   [100]          [110]
+//   Tetragonal-L 4/m       [   0,  90]        [001]   [100]          [010]
+//   Trigonal    -3m        [ -90, -30]        [0001]  eta-min edge   eta-max edge
+//   Trigonal-L  -3         [-120,   0]        [0001]  eta-min edge   eta-max edge
+//   Orthorhombic mmm       [   0,  90]        [001]   [100]          [010]
+//   Monoclinic  2/m        [   0, 180]        [001]   eta-min edge   eta-max edge
+//   Triclinic   -1         [   0, 180]        [001]   eta-min edge   eta-max edge
+//
+// The all-class section below derives each class's eta range and chiMax from
+// getIpfColorAngleLimits() and asserts the universal mapping. Exact pure-primary
+// values are additionally asserted at the canonical corners of the high-symmetry
+// cubic (m-3m) and hexagonal (6/mmm) triangles. (The exact corners lie on a
+// symmetry fold boundary, so the all-class checks sample a hair inside each edge
+// and assert the expected primary strictly dominates.) Confirmed against the
+// built library; the IPF color is independent of the X||a / X||a* convention.
+namespace
+{
+ebsdlib::Rgb ipfColorAtDir(const ebsdlib::LaueOps& ops, double x, double y, double z)
+{
+  double e[3] = {0.0, 0.0, 0.0}; // identity orientation
+  const double n = std::sqrt(x * x + y * y + z * z);
+  double d[3] = {x / n, y / n, z / n};
+  return ops.generateIPFColor(e, d, false); // default TSL color key
+}
+
+// Direction at azimuth eta and polar angle chi from the c-axis (radians).
+ebsdlib::Rgb ipfColorAtEtaChi(const ebsdlib::LaueOps& ops, double eta, double chi)
+{
+  return ipfColorAtDir(ops, std::sin(chi) * std::cos(eta), std::sin(chi) * std::sin(eta), std::cos(chi));
+}
+
+void checkExact(ebsdlib::Rgb c, int r, int g, int b, const std::string& what)
+{
+  INFO(what << " -> R=" << RgbColor::dRed(c) << " G=" << RgbColor::dGreen(c) << " B=" << RgbColor::dBlue(c));
+  CHECK(RgbColor::dRed(c) == r);
+  CHECK(RgbColor::dGreen(c) == g);
+  CHECK(RgbColor::dBlue(c) == b);
+}
+
+// Assert channel `ch` (0=R, 1=G, 2=B) is the strong, strict dominant.
+void checkDominant(ebsdlib::Rgb c, int ch, const std::string& what)
+{
+  const int v[3] = {RgbColor::dRed(c), RgbColor::dGreen(c), RgbColor::dBlue(c)};
+  INFO(what << " -> R=" << v[0] << " G=" << v[1] << " B=" << v[2]);
+  CHECK(v[ch] >= 200);
+  CHECK(v[ch] > v[(ch + 1) % 3]);
+  CHECK(v[ch] > v[(ch + 2) % 3]);
+}
+} // namespace
+
+TEST_CASE("ebsdlib::LaueOpsTest::IPFColor_SSTCorners", "[EbsdLib][LaueOpsTest]")
+{
+  const double c30 = std::sqrt(3.0) / 2.0; // cos(30) == sin(60)
+
+  SECTION("All Laue classes: SST apex=red, eta-min edge=green, eta-max edge=blue")
+  {
+    std::vector<LaueOps::Pointer> allOps = LaueOps::GetAllOrientationOps();
+    int checked = 0;
+    for(const auto& op : allOps)
+    {
+      if(op == nullptr)
+      {
+        continue;
+      }
+      const std::string name = op->getNameOfClass();
+      const std::array<double, 3> lim = op->getIpfColorAngleLimits(0.0);
+      const double etaMin = lim[0];
+      const double etaMax = lim[1];
+      if(!(etaMax > etaMin))
+      {
+        continue; // class has no eta-parameterized SST (skip)
+      }
+      // Sample a hair inside each edge to avoid the fold-boundary ambiguity.
+      const double d = (etaMax - etaMin) * 0.03;
+      const double gEta = etaMin + d;
+      const double bEta = etaMax - d;
+      const double gChi = op->getIpfColorAngleLimits(gEta)[2] * 0.97;
+      const double bChi = op->getIpfColorAngleLimits(bEta)[2] * 0.97;
+
+      checkExact(ipfColorAtEtaChi(*op, 0.0, 0.0), 255, 0, 0, name + " apex");
+      checkDominant(ipfColorAtEtaChi(*op, gEta, gChi), 1, name + " eta-min edge (green)");
+      checkDominant(ipfColorAtEtaChi(*op, bEta, bChi), 2, name + " eta-max edge (blue)");
+      ++checked;
+    }
+    INFO("Laue classes checked: " << checked);
+    CHECK(checked >= 11); // every Laue class must be exercised
+  }
+
+  SECTION("Cubic m-3m canonical corners are exact primaries: [001]=R, [011]=G, [111]=B")
+  {
+    CubicOps ops;
+    checkExact(ipfColorAtDir(ops, 0, 0, 1), 255, 0, 0, "[001]");
+    checkExact(ipfColorAtDir(ops, 0, 1, 1), 0, 255, 0, "[011]");
+    checkExact(ipfColorAtDir(ops, 1, 1, 1), 0, 0, 255, "[111]");
+  }
+
+  SECTION("Hexagonal 6/mmm canonical corners are exact primaries: [0001]=R, [2-1-10]=G, [10-10]=B")
+  {
+    HexagonalOps ops;
+    checkExact(ipfColorAtDir(ops, 0, 0, 1), 255, 0, 0, "[0001]");
+    checkExact(ipfColorAtDir(ops, 1, 0, 0), 0, 255, 0, "[2-1-10] eta=0");
+    checkExact(ipfColorAtDir(ops, c30, 0.5, 0), 0, 0, 255, "[10-10] eta=30");
+  }
+
+  // Cross-class contrast: a basal direction near eta=0 is the GREEN side of the
+  // 6/m wedge [0,60] but the BLUE side of the -3 wedge [-120,0].
+  SECTION("Same eta region, different class -> different color")
+  {
+    const double oneDeg = ebsdlib::constants::k_PiOver180D;
+    const double chi90 = ebsdlib::constants::k_PiOver2D;
+    checkDominant(ipfColorAtEtaChi(HexagonalLowOps(), 1.0 * oneDeg, chi90), 1, "HexLow eta~0 (green)");
+    checkDominant(ipfColorAtEtaChi(TrigonalLowOps(), -1.0 * oneDeg, chi90), 2, "TrigLow eta~0 (blue)");
+  }
+}
diff --git a/Source/Test/MarkerOccupancyGridTest.cpp b/Source/Test/MarkerOccupancyGridTest.cpp
new file mode 100644
index 00000000..a0ed018a
--- /dev/null
+++ b/Source/Test/MarkerOccupancyGridTest.cpp
@@ -0,0 +1,23 @@
+#include <catch2/catch.hpp>
+
+#include "EbsdLib/Utilities/MarkerOccupancyGrid.h"
+
+using namespace ebsdlib;
+
+TEST_CASE("ebsdlib::MarkerOccupancyGridTest::Decimation", "[EbsdLib][MarkerOccupancyGridTest]")
+{
+  // 100x100 area at origin (0,0), 10px cells.
+  MarkerOccupancyGrid grid(0.0f, 0.0f, 100.0f, 100.0f, 10.0f);
+
+  // First point in a cell draws; a second point in the same cell does not.
+  REQUIRE(grid.shouldDraw(5.0f, 5.0f) == true);
+  REQUIRE(grid.shouldDraw(6.0f, 4.0f) == false); // same 10px cell
+
+  // A point in a different cell draws.
+  REQUIRE(grid.shouldDraw(55.0f, 55.0f) == true);
+  REQUIRE(grid.shouldDraw(59.0f, 51.0f) == false); // same cell as (55,55)
+
+  // Out-of-bounds points never draw.
+  REQUIRE(grid.shouldDraw(-1.0f, 5.0f) == false);
+  REQUIRE(grid.shouldDraw(5.0f, 1000.0f) == false);
+}
diff --git a/Source/Test/PoleFigureCompositorTest.cpp b/Source/Test/PoleFigureCompositorTest.cpp
index 0556086e..89f06463 100644
--- a/Source/Test/PoleFigureCompositorTest.cpp
+++ b/Source/Test/PoleFigureCompositorTest.cpp
@@ -104,7 +104,7 @@ TEST_CASE("ebsdlib::PoleFigureCompositorTest::ConfigDefaults", "[EbsdLib][PoleFi
   REQUIRE(config.discrete == false);
   REQUIRE(config.discreteHeatMap == false);
   REQUIRE(config.colorMap.empty());
-  REQUIRE(config.labels.empty());
+  REQUIRE(config.poleFigureNames.empty());
   REQUIRE(config.order.size() == 3);
   REQUIRE(config.order[0] == 0);
   REQUIRE(config.order[1] == 1);
@@ -194,8 +194,7 @@ void GeneratePoleFigures(const std::string& phaseName, size_t opsIndex, hid_t ex
       config.title = fmt::format("Laue Symmetry:{} Rotation Point Group: {}", op->getSymmetryName(), op->getRotationPointGroup());
       config.hexConvention = hexConventions[idx];
 
-      PoleFigureCompositor compositor;
-      CompositePoleFigureResult result = compositor.generateCompositeImage(config);
+      CompositePoleFigureResult result = GeneratePoleFigureComposite(config);
 
       REQUIRE(result.image != nullptr);
       REQUIRE(result.width > 0);
@@ -235,8 +234,8 @@ void GeneratePoleFigures(const std::string& phaseName, size_t opsIndex, hid_t ex
       const double misMatchFraction = static_cast<double>(misMatchCount) / static_cast<double>(exemplarData.size());
       if(misMatchCount > 0)
       {
-        std::cout << phaseName << " [" << datasetName << "]: byte mismatches (>1) = " << misMatchCount << " / " << exemplarData.size() << " (" << std::setprecision(4)
-                  << (misMatchFraction * 100.0) << "%)" << std::endl;
+        std::cout << phaseName << " [" << datasetName << "]: byte mismatches (>1) = " << misMatchCount << " / " << exemplarData.size() << " (" << std::setprecision(4) << (misMatchFraction * 100.0)
+                  << "%)" << std::endl;
       }
       REQUIRE(misMatchFraction <= k_PixelMismatchTolerance);
 #endif
@@ -248,14 +247,14 @@ void GeneratePoleFigures(const std::string& phaseName, size_t opsIndex, hid_t ex
 TEST_CASE("ebsdlib::PoleFigureCompositorTest::All_Laue_Classes", "[EbsdLib][PoleFigureCompositorTest]")
 {
   const ebsdlib::unit_test::TestFileSentinel testDataSentinel(ebsdlib::unit_test::k_TestFilesDir, "Laue_Orientation_Clusters_v6.tar.gz", "Laue_Orientation_Clusters_v6", true, true);
-  const ebsdlib::unit_test::TestFileSentinel testDataSentinel1(ebsdlib::unit_test::k_TestFilesDir, "Pole_Figure_Images_v2.tar.gz", "Pole_Figure_Images_v2"
+  const ebsdlib::unit_test::TestFileSentinel testDataSentinel1(ebsdlib::unit_test::k_TestFilesDir, "Pole_Figure_Images_v3.tar.gz", "Pole_Figure_Images_v3"
 #if WRITE_EXEMPLAR_IMAGES
                                                                ,
                                                                false, false
 #endif
   );
 
-  const std::string hdfInputFile = fmt::format("{}/Pole_Figure_Images_v2/Exemplar_Data.h5", ebsdlib::unit_test::k_TestFilesDir);
+  const std::string hdfInputFile = fmt::format("{}/Pole_Figure_Images_v3/Exemplar_Data.h5", ebsdlib::unit_test::k_TestFilesDir);
   hid_t fileId = -1;
 #if WRITE_EXEMPLAR_IMAGES
   if(!std::filesystem::exists(hdfInputFile))
@@ -411,6 +410,188 @@ TEST_CASE("ebsdlib::PoleFigureCompositorTest::LayoutMetrics_Square", "[EbsdLib][
   REQUIRE(metrics.origins[2][1] == Approx(metrics.origins[0][1] + metrics.subCanvasHeight));
 }
 
+// -----------------------------------------------------------------------------
+// Repeatedly generating the same composite from identical inputs must produce a
+// byte-for-byte identical image. The pipeline (sphere coords, Lambert binning,
+// stereographic projection, canvas_ity render, flip + color convert) has no RNG,
+// no time-seeding, and every parallel boundary writes to DISJOINT outputs, so the
+// result must not vary run-to-run within a single binary.
+// -----------------------------------------------------------------------------
+// Hidden cross-process determinism probe. Run explicitly (twice, to different
+// files) to confirm separate process invocations are byte-identical:
+//   ./Bin/EbsdLibUnitTest "[PFDeterminism]"   (writes scratchpad/pf_run.png)
+// -----------------------------------------------------------------------------
+TEST_CASE("ebsdlib::PoleFigureCompositorTest::CrossProcessDeterminismProbe", "[.][PFDeterminism]")
+{
+  const size_t numOrientations = 250;
+  std::vector<size_t> compDims = {3};
+  auto eulers = FloatArrayType::CreateArray(numOrientations, compDims, "TestEulers", true);
+  for(size_t i = 0; i < numOrientations; i++)
+  {
+    float* ptr = eulers->getTuplePointer(i);
+    ptr[0] = static_cast<float>((i * 7 + 3) % 360) * 0.0174533f;
+    ptr[1] = static_cast<float>((i * 13 + 5) % 180) * 0.0174533f;
+    ptr[2] = static_cast<float>((i * 19 + 11) % 360) * 0.0174533f;
+  }
+
+  CompositePoleFigureConfiguration_t config;
+  config.eulers = eulers.get();
+  config.imageDim = 256;
+  config.lambertDim = 32;
+  config.numColors = 16;
+  config.laueOpsIndex = 1;
+  config.layoutType = PoleFigureLayoutType::Horizontal;
+  config.phaseName = "TestPhase";
+  config.phaseNumber = 1;
+  config.title = "Determinism Probe";
+
+  PoleFigureCompositor compositor;
+  CompositePoleFigureResult result = compositor.generateCompositeImage(config);
+  REQUIRE(result.image != nullptr);
+
+  const std::string outDir = "/private/tmp/claude-501/-Users-mjackson-Workspace9-DREAM3DNX/485763c8-b0c7-48d6-aa56-f82ab8220d1b/scratchpad";
+  auto writeResult = PngWriter::WriteColorImage(outDir + "/pf_run.png", result.width, result.height, 4, result.image->data());
+  REQUIRE(writeResult.first == 0);
+}
+
+// -----------------------------------------------------------------------------
+// Same determinism requirement, but for the DISCRETE pole figure path
+// (config.discrete = true), which uses the direct intensity[index]++ accumulation
+// in ComputeStereographicProjection rather than the Lambert/MRD path.
+// -----------------------------------------------------------------------------
+TEST_CASE("ebsdlib::PoleFigureCompositorTest::RepeatedDiscreteGenerationIsDeterministic", "[EbsdLib][PoleFigureCompositorTest]")
+{
+  const size_t numOrientations = 2600;
+  std::vector<size_t> compDims = {3};
+  auto eulers = FloatArrayType::CreateArray(numOrientations, compDims, "TestEulers", true);
+  for(size_t i = 0; i < numOrientations; i++)
+  {
+    float* ptr = eulers->getTuplePointer(i);
+    ptr[0] = static_cast<float>((i * 7 + 3) % 360) * 0.0174533f;
+    ptr[1] = static_cast<float>((i * 13 + 5) % 180) * 0.0174533f;
+    ptr[2] = static_cast<float>((i * 19 + 11) % 360) * 0.0174533f;
+  }
+
+  auto makeConfig = [&]() {
+    CompositePoleFigureConfiguration_t config;
+    config.eulers = eulers.get();
+    config.imageDim = 256;
+    config.lambertDim = 64;
+    config.numColors = 16;
+    config.discrete = true;  // <-- exercise the discrete accumulation path
+    config.laueOpsIndex = 0; // Hexagonal-High (6/mmm) to match the reported data
+    config.layoutType = PoleFigureLayoutType::Horizontal;
+    config.phaseName = "TestPhase";
+    config.phaseNumber = 1;
+    config.title = "Discrete Determinism Test";
+    return config;
+  };
+
+  const int numRuns = 25;
+  UInt8ArrayType::Pointer reference;
+  size_t worstMismatch = 0;
+  for(int run = 0; run < numRuns; run++)
+  {
+    CompositePoleFigureConfiguration_t config = makeConfig();
+    PoleFigureCompositor compositor;
+    CompositePoleFigureResult result = compositor.generateCompositeImage(config);
+    REQUIRE(result.image != nullptr);
+
+    if(run == 0)
+    {
+      reference = result.image;
+      continue;
+    }
+
+    REQUIRE(result.image->getNumberOfTuples() == reference->getNumberOfTuples());
+    size_t mismatches = 0;
+    const size_t total = reference->getSize();
+    for(size_t i = 0; i < total; i++)
+    {
+      if((*reference)[i] != (*result.image)[i])
+      {
+        mismatches++;
+      }
+    }
+    if(mismatches > worstMismatch)
+    {
+      worstMismatch = mismatches;
+    }
+    if(mismatches > 0)
+    {
+      std::cout << "DISCRETE run " << run << ": " << mismatches << " / " << total << " bytes differ from run 0" << std::endl;
+    }
+  }
+  std::cout << "DISCRETE worst-case mismatch across " << numRuns << " runs: " << worstMismatch << " bytes" << std::endl;
+  REQUIRE(worstMismatch == 0);
+}
+
+// -----------------------------------------------------------------------------
+TEST_CASE("ebsdlib::PoleFigureCompositorTest::RepeatedGenerationIsDeterministic", "[EbsdLib][PoleFigureCompositorTest]")
+{
+  const size_t numOrientations = 250;
+  std::vector<size_t> compDims = {3};
+  auto eulers = FloatArrayType::CreateArray(numOrientations, compDims, "TestEulers", true);
+  for(size_t i = 0; i < numOrientations; i++)
+  {
+    float* ptr = eulers->getTuplePointer(i);
+    ptr[0] = static_cast<float>((i * 7 + 3) % 360) * 0.0174533f;
+    ptr[1] = static_cast<float>((i * 13 + 5) % 180) * 0.0174533f;
+    ptr[2] = static_cast<float>((i * 19 + 11) % 360) * 0.0174533f;
+  }
+
+  auto makeConfig = [&]() {
+    CompositePoleFigureConfiguration_t config;
+    config.eulers = eulers.get();
+    config.imageDim = 128;
+    config.lambertDim = 32;
+    config.numColors = 16;
+    config.laueOpsIndex = 1; // CubicOps
+    config.layoutType = PoleFigureLayoutType::Horizontal;
+    config.phaseName = "TestPhase";
+    config.phaseNumber = 1;
+    config.title = "Determinism Test";
+    return config;
+  };
+
+  const int numRuns = 5;
+  UInt8ArrayType::Pointer reference;
+  for(int run = 0; run < numRuns; run++)
+  {
+    CompositePoleFigureConfiguration_t config = makeConfig();
+    PoleFigureCompositor compositor;
+    CompositePoleFigureResult result = compositor.generateCompositeImage(config);
+    REQUIRE(result.image != nullptr);
+
+    if(run == 0)
+    {
+      reference = result.image;
+      continue;
+    }
+
+    REQUIRE(result.image->getNumberOfTuples() == reference->getNumberOfTuples());
+    size_t mismatches = 0;
+    size_t firstMismatch = 0;
+    const size_t total = reference->getSize();
+    for(size_t i = 0; i < total; i++)
+    {
+      if((*reference)[i] != (*result.image)[i])
+      {
+        if(mismatches == 0)
+        {
+          firstMismatch = i;
+        }
+        mismatches++;
+      }
+    }
+    if(mismatches > 0)
+    {
+      std::cout << "Run " << run << ": " << mismatches << " / " << total << " bytes differ from run 0 (first at byte " << firstMismatch << ")" << std::endl;
+    }
+    REQUIRE(mismatches == 0);
+  }
+}
+
 // -----------------------------------------------------------------------------
 TEST_CASE("ebsdlib::PoleFigureCompositorTest::GenerateComposite_Cubic_Horizontal", "[EbsdLib][PoleFigureCompositorTest]")
 {
diff --git a/Source/Test/PoleFigureLaueComparisonTest.cpp b/Source/Test/PoleFigureLaueComparisonTest.cpp
index db997dee..268d152a 100644
--- a/Source/Test/PoleFigureLaueComparisonTest.cpp
+++ b/Source/Test/PoleFigureLaueComparisonTest.cpp
@@ -118,14 +118,18 @@ TEST_CASE("ebsdlib::PoleFigureLaueComparisonTest::GenerateAllLaueClasses", "[Ebs
     config.numColors = 16;
     config.discrete = true;
     config.discreteHeatMap = false;
+    // This test is compared side-by-side against MTEX (compare_pole_figures_all_laue.m),
+    // which uses the X||a* basis, so pin X||a* here even though the library default is X||a.
+    config.hexConvention = ebsdlib::HexConvention::XParallelAStar;
     config.laueOpsIndex = static_cast<uint32_t>(opsIndex);
     config.layoutType = ebsdlib::PoleFigureLayoutType::Horizontal;
     config.phaseName = rpg;
     config.phaseNumber = 1;
     config.title = fmt::format("{} <{}, {}, {}>", op->getSymmetryName(), k_RefPhi1Deg, k_RefPhiDeg, k_RefPhi2Deg);
 
-    PoleFigureCompositor compositor;
-    CompositePoleFigureResult result = compositor.generateCompositeImage(config);
+    // Use the routing entry point so discrete (non-heatmap) figures go through the
+    // vector marker renderer, matching WritePoleFigure / PoleFigureCompositorTest.
+    CompositePoleFigureResult result = ebsdlib::GeneratePoleFigureComposite(config);
     REQUIRE(result.image != nullptr);
 
     const std::string tifPath = fmt::format("{}/ebsdlib_pole_figure.png", dir);
diff --git a/Source/Test/PoleFigurePositionTest.cpp b/Source/Test/PoleFigurePositionTest.cpp
index b9763792..d3f14e2e 100644
--- a/Source/Test/PoleFigurePositionTest.cpp
+++ b/Source/Test/PoleFigurePositionTest.cpp
@@ -215,24 +215,28 @@ BucketMatchResult greedyMatch(const std::vector<std::pair<double, double>>& a, c
 }
 } // namespace
 
-TEST_CASE("ebsdlib::PoleFigurePositionTest::EmitCsv", "[EbsdLib][PoleFigurePositionTest]")
+// -----------------------------------------------------------------------------
+// Emit EbsdLib pole-figure positions for one hexagonal/trigonal Cartesian
+// convention and validate every bucket (orientation x Laue class x plane
+// family) against the matching MTEX golden CSV.
+//
+// The convention only changes the hex/trig families (a 30 deg basis rotation
+// about c); for all other Laue classes the convention is ignored, so those
+// buckets are identical between conventions. Each convention therefore needs
+// its own MTEX golden, generated by Data/Pole_Figure_Validation/
+// mtex_pole_figure_positions.m with the matching crystalSymmetry alignment.
+// -----------------------------------------------------------------------------
+static void validatePositionsAgainstMtex(const std::vector<LaueOps::Pointer>& ops, const std::vector<size_t>& uniqueOpsIndices, ebsdlib::HexConvention conv, const std::string& goldenPath,
+                                         const std::string& ebCsvPath)
 {
-  const std::string baseDir = fmt::format("{}PoleFigurePositions", ebsdlib::unit_test::k_TestTempDir);
-  const std::string csvPath = fmt::format("{}/ebsdlib_pole_figure_positions.csv", baseDir);
-  REQUIRE(EnsureParentDirectoryExists(csvPath));
+  REQUIRE(EnsureParentDirectoryExists(ebCsvPath));
 
-  std::ofstream csv(csvPath);
+  std::ofstream csv(ebCsvPath);
   REQUIRE(csv.is_open());
   csv << "orient_id,orient_name,rotation_point_group,symmetry_name,plane_family,x,y\n";
   csv << std::fixed;
   csv.precision(8);
 
-  std::vector<LaueOps::Pointer> ops = LaueOps::GetAllOrientationOps();
-  std::vector<size_t> uniqueOpsIndices = uniqueLaueOpsIndices(ops);
-
-  // Captured during emission so we can hand-verify Cube/m-3m/{001} below.
-  std::vector<std::pair<double, double>> cubeM3mFamily0;
-
   // Per-bucket (canonicalized) point list, populated during the emission
   // loop and compared against the MTEX golden after.
   BucketMap ebMap;
@@ -250,14 +254,14 @@ TEST_CASE("ebsdlib::PoleFigurePositionTest::EmitCsv", "[EbsdLib][PoleFigurePosit
       const std::string rpg = op->getRotationPointGroup();
       const std::string symName = op->getSymmetryName();
       const std::array<int32_t, 3> symSizes = op->getNumSymmetry();
-      const std::array<std::string, 3> familyNames = op->getDefaultPoleFigureNames(ebsdlib::HexConvention::XParallelAStar);
+      const std::array<std::string, 3> familyNames = op->getDefaultPoleFigureNames(conv);
 
       // The three output buffers grow to 1 * symSize_i tuples each.
       std::vector<size_t> dims = {3ULL};
       ebsdlib::FloatArrayType::Pointer xyz0 = ebsdlib::FloatArrayType::CreateArray(static_cast<size_t>(symSizes[0]), dims, "xyz0", true);
       ebsdlib::FloatArrayType::Pointer xyz1 = ebsdlib::FloatArrayType::CreateArray(static_cast<size_t>(symSizes[1]), dims, "xyz1", true);
       ebsdlib::FloatArrayType::Pointer xyz2 = ebsdlib::FloatArrayType::CreateArray(static_cast<size_t>(symSizes[2]), dims, "xyz2", true);
-      op->generateSphereCoordsFromEulers(eulersArr.get(), xyz0.get(), xyz1.get(), xyz2.get(), ebsdlib::HexConvention::XParallelAStar);
+      op->generateSphereCoordsFromEulers(eulersArr.get(), xyz0.get(), xyz1.get(), xyz2.get(), conv);
 
       ebsdlib::FloatArrayType* buffers[3] = {xyz0.get(), xyz1.get(), xyz2.get()};
       for(int family = 0; family < 3; ++family)
@@ -273,50 +277,12 @@ TEST_CASE("ebsdlib::PoleFigurePositionTest::EmitCsv", "[EbsdLib][PoleFigurePosit
           // Populate the canonicalized per-bucket map for the MTEX comparison.
           auto canonPt = canonicalizeEquator(px, py);
           ebMap[{static_cast<int>(orientId), rpg, familyNames[family]}].emplace_back(canonPt.first, canonPt.second);
-
-          if(canon.name == "Cube" && rpg == "432" && family == 0)
-          {
-            cubeM3mFamily0.emplace_back(px, py);
-          }
         }
       }
     }
   }
   csv.close();
-  std::cout << "Wrote " << csvPath << std::endl;
-
-  // Hand-verifiable sanity check: Cube (Bunge 0,0,0) under m-3m {001} produces
-  // the six crystal directions [±100], [0±10], [0,0,±1]. After stereographic
-  // projection with antipodal folding, those land at:
-  //   (1, 0), (-1, 0), (0, 1), (0, -1), (0, 0), (0, 0)
-  // (the [001] / [00-1] pair both fold to the disk center).
-  REQUIRE(cubeM3mFamily0.size() == 6);
-
-  const std::vector<std::pair<double, double>> expected = {{1.0, 0.0}, {-1.0, 0.0}, {0.0, 1.0}, {0.0, -1.0}, {0.0, 0.0}, {0.0, 0.0}};
-
-  // Match by greedy nearest-neighbor — the order in which generateSphereCoords
-  // emits poles is a private implementation detail we shouldn't pin to.
-  std::vector<bool> matched(expected.size(), false);
-  for(const auto& got : cubeM3mFamily0)
-  {
-    bool foundMatch = false;
-    for(size_t e = 0; e < expected.size(); ++e)
-    {
-      if(matched[e])
-      {
-        continue;
-      }
-      if(nearlyEqual(got.first, expected[e].first) && nearlyEqual(got.second, expected[e].second))
-      {
-        matched[e] = true;
-        foundMatch = true;
-        break;
-      }
-    }
-    INFO("Cube/m-3m/{001} pole (" << got.first << ", " << got.second << ") had no match in expected set");
-    REQUIRE(foundMatch);
-  }
-  REQUIRE(std::all_of(matched.begin(), matched.end(), [](bool b) { return b; }));
+  std::cout << "Wrote " << ebCsvPath << std::endl;
 
   // ---------------------------------------------------------------------------
   // Compare every bucket against the MTEX golden CSV. Tolerance of 1e-5 is
@@ -324,7 +290,6 @@ TEST_CASE("ebsdlib::PoleFigurePositionTest::EmitCsv", "[EbsdLib][PoleFigurePosit
   // sphere coords as float; MTEX writes to 8 decimals) and well below any
   // crystallographic discrepancy worth investigating.
   // ---------------------------------------------------------------------------
-  const std::string goldenPath = ebsdlib::unit_test::DataDir + "Pole_Figure_Validation/mtex_pole_figure_positions.csv";
   std::cout << "Loading MTEX golden: " << goldenPath << std::endl;
   BucketMap mtexMap = parseGoldenCsv(goldenPath);
   REQUIRE(!mtexMap.empty());
@@ -366,3 +331,98 @@ TEST_CASE("ebsdlib::PoleFigurePositionTest::EmitCsv", "[EbsdLib][PoleFigurePosit
   }
   std::cout << "Compared " << bucketsCompared << " buckets against MTEX golden; worst max-distance = " << globalMax << " (tolerance = " << k_BucketTol << ")" << std::endl;
 }
+
+TEST_CASE("ebsdlib::PoleFigurePositionTest::EmitCsv", "[EbsdLib][PoleFigurePositionTest]")
+{
+  const std::string baseDir = fmt::format("{}PoleFigurePositions", ebsdlib::unit_test::k_TestTempDir);
+
+  std::vector<LaueOps::Pointer> ops = LaueOps::GetAllOrientationOps();
+  std::vector<size_t> uniqueOpsIndices = uniqueLaueOpsIndices(ops);
+
+  // ---------------------------------------------------------------------------
+  // Hand-verifiable, convention-independent sanity check: Cube (Bunge 0,0,0)
+  // under m-3m {001} produces the six crystal directions [±100], [0±10],
+  // [0,0,±1]. After stereographic projection with antipodal folding, those land
+  // at (1,0), (-1,0), (0,1), (0,-1), (0,0), (0,0) (the [001]/[00-1] pair both
+  // fold to the disk center). Cubic ignores the hex convention.
+  // ---------------------------------------------------------------------------
+  {
+    LaueOps::Pointer cubic;
+    for(size_t i : uniqueOpsIndices)
+    {
+      if(ops[i]->getRotationPointGroup() == "432")
+      {
+        cubic = ops[i];
+        break;
+      }
+    }
+    REQUIRE(cubic != nullptr);
+
+    std::vector<float> eulerVec = {0.0F, 0.0F, 0.0F};
+    ebsdlib::FloatArrayType::Pointer eulersArr = ebsdlib::FloatArrayType::FromStdVector(eulerVec, 1ULL, 3ULL, "Eulers");
+    const std::array<int32_t, 3> symSizes = cubic->getNumSymmetry();
+    std::vector<size_t> dims = {3ULL};
+    ebsdlib::FloatArrayType::Pointer xyz0 = ebsdlib::FloatArrayType::CreateArray(static_cast<size_t>(symSizes[0]), dims, "xyz0", true);
+    ebsdlib::FloatArrayType::Pointer xyz1 = ebsdlib::FloatArrayType::CreateArray(static_cast<size_t>(symSizes[1]), dims, "xyz1", true);
+    ebsdlib::FloatArrayType::Pointer xyz2 = ebsdlib::FloatArrayType::CreateArray(static_cast<size_t>(symSizes[2]), dims, "xyz2", true);
+    cubic->generateSphereCoordsFromEulers(eulersArr.get(), xyz0.get(), xyz1.get(), xyz2.get(), ebsdlib::HexConvention::NotApplicable);
+
+    std::vector<std::pair<double, double>> cubeM3mFamily0;
+    for(int32_t s = 0; s < symSizes[0]; ++s)
+    {
+      float* p = xyz0->getPointer(static_cast<size_t>(s) * 3);
+      cubeM3mFamily0.emplace_back(projectStereographic(static_cast<double>(p[0]), static_cast<double>(p[1]), static_cast<double>(p[2])));
+    }
+    REQUIRE(cubeM3mFamily0.size() == 6);
+
+    const std::vector<std::pair<double, double>> expected = {{1.0, 0.0}, {-1.0, 0.0}, {0.0, 1.0}, {0.0, -1.0}, {0.0, 0.0}, {0.0, 0.0}};
+
+    // Match by greedy nearest-neighbor — the order in which generateSphereCoords
+    // emits poles is a private implementation detail we shouldn't pin to.
+    std::vector<bool> matched(expected.size(), false);
+    for(const auto& got : cubeM3mFamily0)
+    {
+      bool foundMatch = false;
+      for(size_t e = 0; e < expected.size(); ++e)
+      {
+        if(matched[e])
+        {
+          continue;
+        }
+        if(nearlyEqual(got.first, expected[e].first) && nearlyEqual(got.second, expected[e].second))
+        {
+          matched[e] = true;
+          foundMatch = true;
+          break;
+        }
+      }
+      INFO("Cube/m-3m/{001} pole (" << got.first << ", " << got.second << ") had no match in expected set");
+      REQUIRE(foundMatch);
+    }
+    REQUIRE(std::all_of(matched.begin(), matched.end(), [](bool b) { return b; }));
+  }
+
+  // ---------------------------------------------------------------------------
+  // X||a* (MTEX/Oxford) — the long-standing golden. Always validated.
+  // ---------------------------------------------------------------------------
+  validatePositionsAgainstMtex(ops, uniqueOpsIndices, ebsdlib::HexConvention::XParallelAStar, ebsdlib::unit_test::DataDir + "Pole_Figure_Validation/mtex_pole_figure_positions.csv",
+                               fmt::format("{}/ebsdlib_pole_figure_positions.csv", baseDir));
+
+  // ---------------------------------------------------------------------------
+  // X||a (TSL/EDAX) — the 3.1 public default. Validated against a second MTEX
+  // golden produced by the same script with the X||a alignment. Until that
+  // golden is generated + committed, skip with a loud warning rather than fail
+  // so the suite stays green during the release stabilization window.
+  // ---------------------------------------------------------------------------
+  const std::string xaGolden = ebsdlib::unit_test::DataDir + "Pole_Figure_Validation/mtex_pole_figure_positions_xa.csv";
+  if(std::filesystem::exists(xaGolden))
+  {
+    validatePositionsAgainstMtex(ops, uniqueOpsIndices, ebsdlib::HexConvention::XParallelA, xaGolden, fmt::format("{}/ebsdlib_pole_figure_positions_xa.csv", baseDir));
+  }
+  else
+  {
+    WARN("X||a MTEX golden not found (" << xaGolden
+                                        << "); skipping X||a position validation. Generate it by running "
+                                           "Data/Pole_Figure_Validation/mtex_pole_figure_positions.m with the X||a alignment.");
+  }
+}
diff --git a/Source/Test/PoleFigureProjectionTest.cpp b/Source/Test/PoleFigureProjectionTest.cpp
new file mode 100644
index 00000000..495363fd
--- /dev/null
+++ b/Source/Test/PoleFigureProjectionTest.cpp
@@ -0,0 +1,36 @@
+#include <catch2/catch.hpp>
+
+#include "EbsdLib/Utilities/PoleFigureProjection.h"
+
+#include <array>
+
+using namespace ebsdlib;
+
+TEST_CASE("ebsdlib::PoleFigureProjectionTest::UpperHemisphere", "[EbsdLib][PoleFigureProjectionTest]")
+{
+  auto north = StereographicProjectUpperHemisphere(0.0f, 0.0f, 1.0f);
+  REQUIRE(north[0] == Approx(0.0f));
+  REQUIRE(north[1] == Approx(0.0f));
+
+  auto eqX = StereographicProjectUpperHemisphere(1.0f, 0.0f, 0.0f);
+  REQUIRE(eqX[0] == Approx(1.0f));
+  REQUIRE(eqX[1] == Approx(0.0f));
+
+  auto eqY = StereographicProjectUpperHemisphere(0.0f, 1.0f, 0.0f);
+  REQUIRE(eqY[0] == Approx(0.0f));
+  REQUIRE(eqY[1] == Approx(1.0f));
+
+  auto south = StereographicProjectUpperHemisphere(0.0f, 0.0f, -1.0f); // folded up
+  REQUIRE(south[0] == Approx(0.0f));
+  REQUIRE(south[1] == Approx(0.0f));
+
+  const float s = 0.70710678f;
+  auto mid = StereographicProjectUpperHemisphere(s, 0.0f, s);
+  REQUIRE(mid[0] == Approx(s / (1.0f + s)));
+  REQUIRE(mid[1] == Approx(0.0f));
+
+  auto folded = StereographicProjectUpperHemisphere(0.5f, -0.5f, -0.70710678f);
+  auto expected = StereographicProjectUpperHemisphere(-0.5f, 0.5f, 0.70710678f);
+  REQUIRE(folded[0] == Approx(expected[0]));
+  REQUIRE(folded[1] == Approx(expected[1]));
+}
diff --git a/Source/Test/PoleFigureUtilitiesTest.cpp b/Source/Test/PoleFigureUtilitiesTest.cpp
index 3d87b9e6..3d1c9508 100644
--- a/Source/Test/PoleFigureUtilitiesTest.cpp
+++ b/Source/Test/PoleFigureUtilitiesTest.cpp
@@ -25,7 +25,7 @@ TEST_CASE("ebsdlib::PoleFigureUtilitiesTest::PoleFigureConfiguration_t_Fields",
   config.labels = {"A", "B", "C"};
   config.order = {0, 1, 2};
   config.phaseName = "Phase1";
-  config.FlipFinalImage = true;
+  config.flipFinalImage = true;
 
   REQUIRE(config.imageDim == 256);
   REQUIRE(config.lambertDim == 64);
@@ -39,7 +39,7 @@ TEST_CASE("ebsdlib::PoleFigureUtilitiesTest::PoleFigureConfiguration_t_Fields",
   REQUIRE(config.labels.size() == 3);
   REQUIRE(config.order.size() == 3);
   REQUIRE(config.phaseName == "Phase1");
-  REQUIRE(config.FlipFinalImage == true);
+  REQUIRE(config.flipFinalImage == true);
 }
 
 // -----------------------------------------------------------------------------
diff --git a/Support/mtex_scripts/compare_pole_figures_all_laue.m b/Support/mtex_scripts/compare_pole_figures_all_laue.m
index 7c88f325..868c627a 100644
--- a/Support/mtex_scripts/compare_pole_figures_all_laue.m
+++ b/Support/mtex_scripts/compare_pole_figures_all_laue.m
@@ -25,8 +25,12 @@
 setMTEXpref('zAxisDirection', 'outOfPlane');
 
 % Map EbsdLib rotation point group → MTEX crystalSymmetry Laue class string
-% plus the 3 Miller-Bravais / Miller indices to plot. EbsdLib now uses
-% X||a* for hexagonal/trigonal crystals (MTEX default).
+% plus the 3 Miller-Bravais / Miller indices to plot. The hex/trig classes
+% pin the alignment EXPLICITLY to 'X||a*' so this side-by-side stays
+% apples-to-apples with PoleFigureLaueComparisonTest, which renders X||a*.
+% (Do not rely on the MTEX default alignment — it is not guaranteed X||a*.)
+% Note: EbsdLib's public default convention is X||a (TSL) as of 3.1; this
+% diagnostic deliberately compares the X||a* path that the C++ test pins.
 laueMap = containers.Map();
 % cubic
 laueMap('432') = struct('cs', crystalSymmetry('m-3m'), ...
@@ -34,9 +38,9 @@
 laueMap('23')  = struct('cs', crystalSymmetry('m-3'), ...
     'h', {{[0 0 1], [0 1 1], [1 1 1]}});
 % hexagonal
-laueMap('622') = struct('cs', crystalSymmetry('6/mmm', [1 1 1.6]), ...
+laueMap('622') = struct('cs', crystalSymmetry('6/mmm', [1 1 1.6], 'X||a*'), ...
     'h', {{[0 0 0 1], [1 0 -1 0], [2 -1 -1 0]}});
-laueMap('6')   = struct('cs', crystalSymmetry('6/m', [1 1 1.6]), ...
+laueMap('6')   = struct('cs', crystalSymmetry('6/m', [1 1 1.6], 'X||a*'), ...
     'h', {{[0 0 0 1], [1 0 -1 0], [1 1 -2 0]}});
 % tetragonal
 laueMap('422') = struct('cs', crystalSymmetry('4/mmm'), ...
@@ -44,9 +48,9 @@
 laueMap('4')   = struct('cs', crystalSymmetry('4/m'), ...
     'h', {{[0 0 1], [1 0 0], [1 1 0]}});
 % trigonal
-laueMap('32')  = struct('cs', crystalSymmetry('-3m', [1 1 1.6]), ...
+laueMap('32')  = struct('cs', crystalSymmetry('-3m', [1 1 1.6], 'X||a*'), ...
     'h', {{[0 0 0 1], [0 -1 1 0], [1 -1 0 0]}});
-laueMap('3')   = struct('cs', crystalSymmetry('-3', [1 1 1.6]), ...
+laueMap('3')   = struct('cs', crystalSymmetry('-3', [1 1 1.6], 'X||a*'), ...
     'h', {{[0 0 0 1], [-1 -1 2 0], [2 -1 -1 0]}});
 % orthorhombic
 laueMap('222') = struct('cs', crystalSymmetry('mmm'), ...