Changeset 1709 for sphinxdocs/build/html/_modules/GSASIIspc.html

Timestamp:

Mar 14, 2015 5:35:03 PM (8 years ago)

Author:

toby

Message:

change sphinx docs links; rebuild & fixing minor formatting

File:

• sphinxdocs/build/html/_modules/GSASIIspc.html (modified) (32 diffs)

sphinxdocs/build/html/_modules/GSASIIspc.html

@@ -59 +59 @@
 <span class="sd">&quot;&quot;&quot;</span>
 <span class="c">########### SVN repository information ###################</span>
-<span class="c"># $Date: 2014-09-07 14:37:26 -0400 (Sun, 07 Sep 2014) $</span>
+<span class="c"># $Date: 2015-03-13 15:46:05 -0500 (Fri, 13 Mar 2015) $</span>
 <span class="c"># $Author: vondreele $</span>
-<span class="c"># $Revision: 1489 $</span>
+<span class="c"># $Revision: 1699 $</span>
 <span class="c"># $URL: https://subversion.xray.aps.anl.gov/pyGSAS/trunk/GSASIIspc.py $</span>
-<span class="c"># $Id: GSASIIspc.py 1489 2014-09-07 18:37:26Z vondreele $</span>
+<span class="c"># $Id: GSASIIspc.py 1699 2015-03-13 20:46:05Z vondreele $</span>
 <span class="c">########### SVN repository information ###################</span>
 <span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
@@ -71 +71 @@
 <span class="kn">import</span> <span class="nn">math</span>
 <span class="kn">import</span> <span class="nn">sys</span>
+<span class="kn">import</span> <span class="nn">copy</span>
 <span class="kn">import</span> <span class="nn">os.path</span> <span class="kn">as</span> <span class="nn">ospath</span>
 
 <span class="kn">import</span> <span class="nn">GSASIIpath</span>
-<span class="n">GSASIIpath</span><span class="o">.</span><span class="n">SetVersionNumber</span><span class="p">(</span><span class="s">&quot;$Revision: 1489 $&quot;</span><span class="p">)</span>
+<span class="n">GSASIIpath</span><span class="o">.</span><span class="n">SetVersionNumber</span><span class="p">(</span><span class="s">&quot;$Revision: 1699 $&quot;</span><span class="p">)</span>
 <span class="kn">import</span> <span class="nn">pyspg</span>
 
 <span class="n">npsind</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">x</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">/</span><span class="mf">180.</span><span class="p">)</span>
 <span class="n">npcosd</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">x</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">/</span><span class="mf">180.</span><span class="p">)</span>
+<span class="n">DEBUG</span> <span class="o">=</span> <span class="bp">False</span>
+    
+<span class="c">################################################################################</span>
+<span class="c">#### Space group codes</span>
+<span class="c">################################################################################</span>
 
 <div class="viewcode-block" id="SpcGroup"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SpcGroup">[docs]</a><span class="k">def</span> <span class="nf">SpcGroup</span><span class="p">(</span><span class="n">SGSymbol</span><span class="p">):</span>
@@ -86 +92 @@
 <span class="sd">    :param SGSymbol: space group symbol (string) with spaces between axial fields</span>
 <span class="sd">    :returns: (SGError,SGData)</span>
+<span class="sd">    </span>
 <span class="sd">       * SGError = 0 for no errors; &gt;0 for errors (see SGErrors below for details)</span>
 <span class="sd">       * SGData - is a dict (see :ref:`Space Group object&lt;SGData_table&gt;`) with entries:</span>
 <span class="sd">       </span>
 <span class="sd">             * &#39;SpGrp&#39;: space group symbol, slightly cleaned up</span>
-<span class="sd">             * &#39;Laue&#39;:  one of &#39;-1&#39;, &#39;2/m&#39;, &#39;mmm&#39;, &#39;4/m&#39;, &#39;4/mmm&#39;, &#39;3R&#39;,</span>
+<span class="sd">             * &#39;SGLaue&#39;:  one of &#39;-1&#39;, &#39;2/m&#39;, &#39;mmm&#39;, &#39;4/m&#39;, &#39;4/mmm&#39;, &#39;3R&#39;,</span>
 <span class="sd">               &#39;3mR&#39;, &#39;3&#39;, &#39;3m1&#39;, &#39;31m&#39;, &#39;6/m&#39;, &#39;6/mmm&#39;, &#39;m3&#39;, &#39;m3m&#39;</span>
 <span class="sd">             * &#39;SGInv&#39;: boolean; True if centrosymmetric, False if not</span>
@@ -101 +108 @@
 <span class="sd">             * &#39;SGPolax&#39;: one of &#39;&#39;, &#39;x&#39;, &#39;y&#39;, &#39;x y&#39;, &#39;z&#39;, &#39;x z&#39;, &#39;y z&#39;,</span>
 <span class="sd">               &#39;xyz&#39;, &#39;111&#39; for arbitrary axes</span>
+<span class="sd">             * &#39;SGPtGrp&#39;: one of 32 point group symbols (with some permutations)</span>
+<span class="sd">                - filled by SGPtGroup - is external (KE) part of supersymmetry point group</span>
+<span class="sd">             * &#39;SSGKl&#39;: default internal (Kl) part of supersymmetry point group; modified </span>
+<span class="sd">                in supersymmetry stuff depending on chosen modulation vector for Mono &amp; Ortho</span>
 
 <span class="sd">    &quot;&quot;&quot;</span>
@@ -108 +119 @@
     <span class="n">SysSym</span> <span class="o">=</span> <span class="p">(</span><span class="s">&#39;triclinic&#39;</span><span class="p">,</span><span class="s">&#39;monoclinic&#39;</span><span class="p">,</span><span class="s">&#39;orthorhombic&#39;</span><span class="p">,</span><span class="s">&#39;tetragonal&#39;</span><span class="p">,</span><span class="s">&#39;rhombohedral&#39;</span><span class="p">,</span><span class="s">&#39;trigonal&#39;</span><span class="p">,</span><span class="s">&#39;hexagonal&#39;</span><span class="p">,</span><span class="s">&#39;cubic&#39;</span><span class="p">)</span>
     <span class="n">SGData</span> <span class="o">=</span> <span class="p">{}</span>
+    <span class="n">SGInfo</span> <span class="o">=</span> <span class="n">pyspg</span><span class="o">.</span><span class="n">sgforpy</span><span class="p">(</span><span class="n">SGSymbol</span><span class="p">)</span>
     <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">SGSymbol</span><span class="o">.</span><span class="n">strip</span><span class="p">()</span><span class="o">.</span><span class="n">lower</span><span class="p">()</span><span class="o">.</span><span class="n">capitalize</span><span class="p">()</span>
-    <span class="n">SGInfo</span> <span class="o">=</span> <span class="n">pyspg</span><span class="o">.</span><span class="n">sgforpy</span><span class="p">(</span><span class="n">SGSymbol</span><span class="p">)</span>
     <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">LaueSym</span><span class="p">[</span><span class="n">SGInfo</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
     <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGInv&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="nb">bool</span><span class="p">(</span><span class="n">SGInfo</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
@@ -150 +161 @@
         <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGSys&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">SysSym</span><span class="p">[</span><span class="mi">7</span><span class="p">]</span>
     <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPolax&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">SGpolar</span><span class="p">(</span><span class="n">SGData</span><span class="p">)</span>
+    <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">],</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SSGKl&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">SGPtGroup</span><span class="p">(</span><span class="n">SGData</span><span class="p">)</span>
     <span class="k">return</span> <span class="n">SGInfo</span><span class="p">[</span><span class="mi">8</span><span class="p">],</span><span class="n">SGData</span>
 </div>
@@ -208 +220 @@
     <span class="k">return</span> <span class="n">POL</span><span class="p">[</span><span class="n">NPol</span><span class="p">]</span>
     </div>
+<div class="viewcode-block" id="SGPtGroup"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SGPtGroup">[docs]</a><span class="k">def</span> <span class="nf">SGPtGroup</span><span class="p">(</span><span class="n">SGData</span><span class="p">):</span>
+    <span class="sd">&#39;&#39;&#39;</span>
+<span class="sd">    Determine point group of the space group - done after space group symbol has</span>
+<span class="sd">    been evaluated by SpcGroup. Only short symbols are allowed</span>
+<span class="sd">    </span>
+<span class="sd">    :param SGData: from :func SpcGroup</span>
+<span class="sd">    :returns: SSGPtGrp &amp; SSGKl (only defaults for Mono &amp; Ortho)</span>
+<span class="sd">    &#39;&#39;&#39;</span>
+    <span class="n">Flds</span> <span class="o">=</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">split</span><span class="p">()</span>
+    <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">Flds</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mi">2</span><span class="p">:</span>
+        <span class="k">return</span> <span class="s">&#39;&#39;</span><span class="p">,[]</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;-1&#39;</span><span class="p">:</span>    <span class="c">#triclinic</span>
+        <span class="k">if</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;-1&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;1&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;2/m&#39;</span><span class="p">:</span> <span class="c">#monoclinic - default for 2D modulation vector</span>
+        <span class="k">if</span> <span class="s">&#39;/&#39;</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;2/m&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;2&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;m&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;mmm&#39;</span><span class="p">:</span> <span class="c">#orthorhombic</span>
+        <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">count</span><span class="p">(</span><span class="s">&#39;2&#39;</span><span class="p">)</span> <span class="o">==</span> <span class="mi">3</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;222&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">count</span><span class="p">(</span><span class="s">&#39;2&#39;</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
+            <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPolax&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;x&#39;</span><span class="p">:</span>
+                <span class="k">return</span> <span class="s">&#39;2mm&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+            <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPolax&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;y&#39;</span><span class="p">:</span>
+                <span class="k">return</span> <span class="s">&#39;m2m&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+            <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPolax&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;z&#39;</span><span class="p">:</span>
+                <span class="k">return</span> <span class="s">&#39;mm2&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;mmm&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;4/m&#39;</span><span class="p">:</span> <span class="c">#tetragonal</span>
+        <span class="k">if</span> <span class="s">&#39;/&#39;</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;4/m&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;-4&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;4&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;4/mmm&#39;</span><span class="p">:</span>
+        <span class="k">if</span> <span class="s">&#39;/&#39;</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;4/mmm&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">if</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">2</span><span class="p">]:</span>
+                <span class="k">return</span> <span class="s">&#39;-42m&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="s">&#39;-4m2&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>              
+        <span class="k">elif</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">2</span><span class="p">:]:</span>
+            <span class="k">return</span> <span class="s">&#39;422&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;4mm&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;3&#39;</span><span class="p">,</span><span class="s">&#39;3R&#39;</span><span class="p">]:</span>  <span class="c">#trigonal/rhombohedral</span>
+        <span class="k">if</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;-3&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;3&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;3mR&#39;</span> <span class="ow">or</span> <span class="s">&#39;R&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">0</span><span class="p">]:</span>
+        <span class="k">if</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">2</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;32&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;-3m&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;3m&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;3m1&#39;</span><span class="p">:</span>
+        <span class="k">if</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">2</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;321&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;-3m1&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;3m1&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;31m&#39;</span><span class="p">:</span>
+        <span class="k">if</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">3</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;312&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;-31m&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;31m&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;6/m&#39;</span><span class="p">:</span> <span class="c">#hexagonal</span>
+        <span class="k">if</span> <span class="s">&#39;/&#39;</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;6/m&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;-6&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;6&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;6/mmm&#39;</span><span class="p">:</span>
+        <span class="k">if</span> <span class="s">&#39;/&#39;</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;6/mmm&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">if</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">2</span><span class="p">]:</span>
+                <span class="k">return</span> <span class="s">&#39;-62m&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="s">&#39;-6m2&#39;</span><span class="p">,[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>                 
+        <span class="k">elif</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">2</span><span class="p">:]:</span>
+            <span class="k">return</span> <span class="s">&#39;622&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;6mm&#39;</span><span class="p">,[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>   
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;m3&#39;</span><span class="p">:</span>      <span class="c">#cubic - no (3+1) supersymmetry</span>
+        <span class="k">if</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="s">&#39;23&#39;</span><span class="p">,[]</span>
+        <span class="k">else</span><span class="p">:</span>  
+            <span class="k">return</span> <span class="s">&#39;m3&#39;</span><span class="p">,[]</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;m3m&#39;</span><span class="p">:</span>
+        <span class="k">if</span> <span class="s">&#39;4&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="k">if</span> <span class="s">&#39;-&#39;</span> <span class="ow">in</span> <span class="n">Flds</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
+                <span class="k">return</span> <span class="s">&#39;-43m&#39;</span><span class="p">,[]</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="s">&#39;432&#39;</span><span class="p">,[]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="s">&#39;m-3m&#39;</span><span class="p">,[]</span>
+    </div>
 <div class="viewcode-block" id="SGPrint"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SGPrint">[docs]</a><span class="k">def</span> <span class="nf">SGPrint</span><span class="p">(</span><span class="n">SGData</span><span class="p">):</span>
     <span class="sd">&#39;&#39;&#39;</span>
@@ -215 +340 @@
 <span class="sd">    :returns:</span>
 <span class="sd">        SGText - list of strings with the space group details</span>
+<span class="sd">        SGTable - list of strings for each of the operations</span>
 <span class="sd">    &#39;&#39;&#39;</span>
     <span class="n">Mult</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGCen&#39;</span><span class="p">])</span><span class="o">*</span><span class="nb">len</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGOps&#39;</span><span class="p">])</span><span class="o">*</span><span class="p">(</span><span class="nb">int</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGInv&#39;</span><span class="p">])</span><span class="o">+</span><span class="mi">1</span><span class="p">)</span>
@@ -225 +351 @@
         <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The lattice is &#39;</span><span class="o">+</span><span class="n">CentStr</span><span class="o">+</span><span class="s">&#39; &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]</span><span class="o">+</span><span class="s">&#39;-centered &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGSys&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">lower</span><span class="p">())</span>
     <span class="k">else</span><span class="p">:</span>
-        <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The lattice is &#39;</span><span class="o">+</span><span class="n">CentStr</span><span class="o">+</span><span class="s">&#39; &#39;</span><span class="o">+</span><span class="s">&#39;primitive &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGSys&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">lower</span><span class="p">())</span>        
+        <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The lattice is &#39;</span><span class="o">+</span><span class="n">CentStr</span><span class="o">+</span><span class="s">&#39; &#39;</span><span class="o">+</span><span class="s">&#39;primitive &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGSys&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">lower</span><span class="p">())</span> 
+    <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The Laue symmetry is &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">])</span>
+    <span class="k">if</span> <span class="s">&#39;SGPtGrp&#39;</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">:</span>         <span class="c">#patch</span>
+        <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The lattice point group is &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">])</span>
     <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; Multiplicity of a general site is &#39;</span><span class="o">+</span><span class="nb">str</span><span class="p">(</span><span class="n">Mult</span><span class="p">))</span>
-    <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The Laue symmetry is &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">])</span>
     <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;a&#39;</span><span class="p">,</span><span class="s">&#39;b&#39;</span><span class="p">,</span><span class="s">&#39;c&#39;</span><span class="p">]:</span>
         <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The unique monoclinic axis is &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">])</span>
@@ -234 +362 @@
     <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPolax&#39;</span><span class="p">]:</span>
         <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The location of the origin is arbitrary in &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPolax&#39;</span><span class="p">])</span>
-    <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39;</span><span class="se">\n</span><span class="s">&#39;</span><span class="o">+</span><span class="s">&#39; The equivalent positions are:&#39;</span><span class="p">)</span>
-    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]</span> <span class="o">!=</span> <span class="s">&#39;P&#39;</span><span class="p">:</span>
-        <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39;</span><span class="se">\n</span><span class="s"> (&#39;</span><span class="o">+</span><span class="n">Latt2text</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">])</span><span class="o">+</span><span class="s">&#39;)+</span><span class="se">\n</span><span class="s">&#39;</span><span class="p">)</span>
-    <span class="n">Ncol</span> <span class="o">=</span> <span class="mi">2</span>
-    <span class="n">line</span> <span class="o">=</span> <span class="s">&#39; &#39;</span>
-    <span class="n">col</span> <span class="o">=</span> <span class="mi">0</span>
-    <span class="k">for</span> <span class="n">iop</span><span class="p">,[</span><span class="n">M</span><span class="p">,</span><span class="n">T</span><span class="p">]</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGOps&#39;</span><span class="p">]):</span>
-        <span class="n">OPtxt</span> <span class="o">=</span> <span class="n">MT2text</span><span class="p">(</span><span class="n">M</span><span class="p">,</span><span class="n">T</span><span class="p">)</span>
-        <span class="n">Fld</span> <span class="o">=</span> <span class="s">&#39;(</span><span class="si">%2i</span><span class="s">) &#39;</span><span class="o">%</span><span class="p">(</span><span class="n">iop</span><span class="o">+</span><span class="mi">1</span><span class="p">)</span><span class="o">+</span><span class="n">OPtxt</span><span class="o">+</span><span class="s">&#39;</span><span class="se">\t</span><span class="s">&#39;</span>
-        <span class="n">line</span> <span class="o">+=</span> <span class="n">Fld</span>
-        <span class="k">if</span> <span class="s">&#39;/&#39;</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">Fld</span><span class="p">:</span>
-            <span class="n">line</span> <span class="o">+=</span> <span class="s">&#39;</span><span class="se">\t</span><span class="s">&#39;</span>
-        <span class="n">col</span> <span class="o">+=</span> <span class="mi">1</span>
-        <span class="k">if</span> <span class="n">col</span> <span class="o">==</span> <span class="n">Ncol</span><span class="p">:</span>
-            <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">line</span><span class="p">)</span>        
-            <span class="n">line</span> <span class="o">=</span> <span class="s">&#39; &#39;</span>
-            <span class="n">col</span> <span class="o">=</span> <span class="mi">0</span>
-    <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">line</span><span class="p">)</span>        
-    <span class="k">return</span> <span class="n">SGText</span>
+    <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">)</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;P&#39;</span><span class="p">:</span>
+        <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The equivalent positions are:</span><span class="se">\n</span><span class="s">&#39;</span><span class="p">)</span>
+    <span class="k">else</span><span class="p">:</span>    
+        <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The equivalent positions are:&#39;</span><span class="p">)</span>
+        <span class="n">SGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; (&#39;</span><span class="o">+</span><span class="n">Latt2text</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">])</span><span class="o">+</span><span class="s">&#39;)+</span><span class="se">\n</span><span class="s">&#39;</span><span class="p">)</span>
+    <span class="n">SGTable</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">Opr</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGOps&#39;</span><span class="p">]):</span>
+        <span class="n">SGTable</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39;(</span><span class="si">%2d</span><span class="s">) </span><span class="si">%s</span><span class="s">&#39;</span><span class="o">%</span><span class="p">(</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="n">MT2text</span><span class="p">(</span><span class="n">Opr</span><span class="p">)))</span>
+    <span class="k">return</span> <span class="n">SGText</span><span class="p">,</span><span class="n">SGTable</span>
 </div>
 <div class="viewcode-block" id="AllOps"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.AllOps">[docs]</a><span class="k">def</span> <span class="nf">AllOps</span><span class="p">(</span><span class="n">SGData</span><span class="p">):</span>
@@ -297 +416 @@
                         <span class="n">Tprime</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">+=</span> <span class="o">-</span><span class="mi">1</span>
                         <span class="n">offset</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">+=</span> <span class="o">-</span><span class="mi">1</span>
-                <span class="n">OPtxt</span> <span class="o">=</span> <span class="n">MT2text</span><span class="p">(</span><span class="n">mult</span><span class="o">*</span><span class="n">M</span><span class="p">,</span><span class="n">Tprime</span><span class="p">)</span>
+                <span class="n">Opr</span> <span class="o">=</span> <span class="p">[</span><span class="n">mult</span><span class="o">*</span><span class="n">M</span><span class="p">,</span><span class="n">Tprime</span><span class="p">]</span>
+                <span class="n">OPtxt</span> <span class="o">=</span> <span class="n">MT2text</span><span class="p">(</span><span class="n">Opr</span><span class="p">)</span>
                 <span class="n">SGTextList</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">OPtxt</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">))</span>
                 <span class="n">offsetList</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="nb">tuple</span><span class="p">(</span><span class="n">offset</span><span class="p">))</span>
@@ -304 +424 @@
     <span class="k">return</span> <span class="n">SGTextList</span><span class="p">,</span><span class="n">offsetList</span><span class="p">,</span><span class="n">symOpList</span><span class="p">,</span><span class="n">G2oprList</span>
     </div>
-<div class="viewcode-block" id="MT2text"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.MT2text">[docs]</a><span class="k">def</span> <span class="nf">MT2text</span><span class="p">(</span><span class="n">M</span><span class="p">,</span><span class="n">T</span><span class="p">):</span>
+<div class="viewcode-block" id="MT2text"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.MT2text">[docs]</a><span class="k">def</span> <span class="nf">MT2text</span><span class="p">(</span><span class="n">Opr</span><span class="p">):</span>
     <span class="s">&quot;From space group matrix/translation operator returns text version&quot;</span>
     <span class="n">XYZ</span> <span class="o">=</span> <span class="p">(</span><span class="s">&#39;-Z&#39;</span><span class="p">,</span><span class="s">&#39;-Y&#39;</span><span class="p">,</span><span class="s">&#39;-X&#39;</span><span class="p">,</span><span class="s">&#39;X-Y&#39;</span><span class="p">,</span><span class="s">&#39;ERR&#39;</span><span class="p">,</span><span class="s">&#39;Y-X&#39;</span><span class="p">,</span><span class="s">&#39;X&#39;</span><span class="p">,</span><span class="s">&#39;Y&#39;</span><span class="p">,</span><span class="s">&#39;Z&#39;</span><span class="p">)</span>
     <span class="n">TRA</span> <span class="o">=</span> <span class="p">(</span><span class="s">&#39;   &#39;</span><span class="p">,</span><span class="s">&#39;ERR&#39;</span><span class="p">,</span><span class="s">&#39;1/6&#39;</span><span class="p">,</span><span class="s">&#39;1/4&#39;</span><span class="p">,</span><span class="s">&#39;1/3&#39;</span><span class="p">,</span><span class="s">&#39;ERR&#39;</span><span class="p">,</span><span class="s">&#39;1/2&#39;</span><span class="p">,</span><span class="s">&#39;ERR&#39;</span><span class="p">,</span><span class="s">&#39;2/3&#39;</span><span class="p">,</span><span class="s">&#39;3/4&#39;</span><span class="p">,</span><span class="s">&#39;5/6&#39;</span><span class="p">,</span><span class="s">&#39;ERR&#39;</span><span class="p">)</span>
     <span class="n">Fld</span> <span class="o">=</span> <span class="s">&#39;&#39;</span>
+    <span class="n">M</span><span class="p">,</span><span class="n">T</span> <span class="o">=</span> <span class="n">Opr</span>
     <span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
         <span class="n">IJ</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">M</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span><span class="o">+</span><span class="mi">3</span><span class="o">*</span><span class="n">M</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">]</span><span class="o">+</span><span class="mi">4</span><span class="o">*</span><span class="n">M</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">2</span><span class="p">]</span><span class="o">+</span><span class="mi">4</span><span class="p">))</span><span class="o">%</span><span class="mi">12</span>
@@ -314 +435 @@
         <span class="k">if</span> <span class="n">IK</span><span class="p">:</span>
             <span class="k">if</span> <span class="n">IJ</span> <span class="o">&lt;</span> <span class="mi">3</span><span class="p">:</span>
-                <span class="n">Fld</span> <span class="o">+=</span> <span class="n">TRA</span><span class="p">[</span><span class="n">IK</span><span class="p">]</span><span class="o">+</span><span class="n">XYZ</span><span class="p">[</span><span class="n">IJ</span><span class="p">]</span>
+                <span class="n">Fld</span> <span class="o">+=</span> <span class="p">(</span><span class="n">TRA</span><span class="p">[</span><span class="n">IK</span><span class="p">]</span><span class="o">+</span><span class="n">XYZ</span><span class="p">[</span><span class="n">IJ</span><span class="p">])</span><span class="o">.</span><span class="n">rjust</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>
             <span class="k">else</span><span class="p">:</span>
-                <span class="n">Fld</span> <span class="o">+=</span> <span class="n">TRA</span><span class="p">[</span><span class="n">IK</span><span class="p">]</span><span class="o">+</span><span class="s">&#39;+&#39;</span><span class="o">+</span><span class="n">XYZ</span><span class="p">[</span><span class="n">IJ</span><span class="p">]</span>
+                <span class="n">Fld</span> <span class="o">+=</span> <span class="p">(</span><span class="n">TRA</span><span class="p">[</span><span class="n">IK</span><span class="p">]</span><span class="o">+</span><span class="s">&#39;+&#39;</span><span class="o">+</span><span class="n">XYZ</span><span class="p">[</span><span class="n">IJ</span><span class="p">])</span><span class="o">.</span><span class="n">rjust</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>
         <span class="k">else</span><span class="p">:</span>
-            <span class="n">Fld</span> <span class="o">+=</span> <span class="n">XYZ</span><span class="p">[</span><span class="n">IJ</span><span class="p">]</span>
+            <span class="n">Fld</span> <span class="o">+=</span> <span class="n">XYZ</span><span class="p">[</span><span class="n">IJ</span><span class="p">]</span><span class="o">.</span><span class="n">rjust</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>
         <span class="k">if</span> <span class="n">j</span> <span class="o">!=</span> <span class="mi">2</span><span class="p">:</span> <span class="n">Fld</span> <span class="o">+=</span> <span class="s">&#39;, &#39;</span>
     <span class="k">return</span> <span class="n">Fld</span>
@@ -343 +464 @@
     <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="n">SGPrint</span><span class="p">(</span><span class="n">A</span><span class="p">):</span>
         <span class="k">print</span> <span class="n">l</span>
+        
+<span class="c">################################################################################</span>
+<span class="c">#### Superspace group codes</span>
+<span class="c">################################################################################</span>
+        </div>
+<div class="viewcode-block" id="SSpcGroup"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SSpcGroup">[docs]</a><span class="k">def</span> <span class="nf">SSpcGroup</span><span class="p">(</span><span class="n">SGData</span><span class="p">,</span><span class="n">SSymbol</span><span class="p">):</span>
+    <span class="sd">&quot;&quot;&quot;</span>
+<span class="sd">    Determines supersymmetry information from superspace group name; currently only for (3+1) superlattices</span>
+
+<span class="sd">    :param SGData: space group data structure as defined in SpcGroup above.</span>
+<span class="sd">    :param SSymbol: superspace group symbol extension (string) defining modulation direction &amp; generator info.</span>
+<span class="sd">    :returns: (SSGError,SSGData)</span>
+<span class="sd">    </span>
+<span class="sd">       * SGError = 0 for no errors; &gt;0 for errors (see SGErrors below for details)</span>
+<span class="sd">       * SSGData - is a dict (see :ref:`Superspace Group object&lt;SSGData_table&gt;`) with entries:</span>
+<span class="sd">       </span>
+<span class="sd">             * &#39;SSpGrp&#39;: superspace group symbol extension to space group symbol, accidental spaces removed</span>
+<span class="sd">             * &#39;SSGCen&#39;: 4D cell centering vectors [0,0,0,0] at least</span>
+<span class="sd">             * &#39;SSGOps&#39;: 4D symmetry operations as [M,T] so that M*x+T = x&#39;</span>
+
+<span class="sd">    &quot;&quot;&quot;</span>
+    
+    <span class="k">def</span> <span class="nf">checkModSym</span><span class="p">():</span>
+        <span class="sd">&#39;&#39;&#39; </span>
+<span class="sd">        Checks to see if proposed modulation form is allowed for Laue group</span>
+<span class="sd">        &#39;&#39;&#39;</span>
+        <span class="k">if</span> <span class="n">LaueId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">0</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">LaueModId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">0</span><span class="p">,]:</span>
+            <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">elif</span> <span class="n">LaueId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">1</span><span class="p">,]:</span>
+            <span class="k">try</span><span class="p">:</span>
+                <span class="k">if</span> <span class="n">modsym</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="s">&#39;1/2&#39;</span><span class="p">)</span> <span class="o">!=</span> <span class="p">[</span><span class="s">&#39;A&#39;</span><span class="p">,</span><span class="s">&#39;B&#39;</span><span class="p">,</span><span class="s">&#39;C&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]):</span>
+                    <span class="k">return</span> <span class="bp">False</span>
+                <span class="k">if</span> <span class="s">&#39;I&#39;</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">])</span> <span class="ow">and</span> <span class="n">modsym</span><span class="o">.</span><span class="n">count</span><span class="p">(</span><span class="s">&#39;1/2&#39;</span><span class="p">)</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">2</span><span class="p">]:</span>
+                    <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">except</span> <span class="ne">ValueError</span><span class="p">:</span>
+                <span class="k">pass</span>
+            <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;a&#39;</span> <span class="ow">and</span> <span class="n">LaueModId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">5</span><span class="p">,</span><span class="mi">6</span><span class="p">,</span><span class="mi">7</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">9</span><span class="p">,</span><span class="mi">10</span><span class="p">,]:</span>
+                <span class="k">return</span> <span class="bp">True</span>
+            <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;b&#39;</span> <span class="ow">and</span> <span class="n">LaueModId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">13</span><span class="p">,</span><span class="mi">14</span><span class="p">,</span><span class="mi">15</span><span class="p">,</span><span class="mi">16</span><span class="p">,]:</span>
+                <span class="k">return</span> <span class="bp">True</span>
+            <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;c&#39;</span> <span class="ow">and</span> <span class="n">LaueModId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">19</span><span class="p">,</span><span class="mi">20</span><span class="p">,</span><span class="mi">21</span><span class="p">,</span><span class="mi">22</span><span class="p">,]:</span>
+                <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">elif</span> <span class="n">LaueId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">2</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">LaueModId</span> <span class="ow">in</span> <span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">7</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">18</span><span class="p">)]:</span>
+            <span class="k">try</span><span class="p">:</span>
+                <span class="k">if</span> <span class="n">modsym</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="s">&#39;1/2&#39;</span><span class="p">)</span> <span class="o">!=</span> <span class="p">[</span><span class="s">&#39;A&#39;</span><span class="p">,</span><span class="s">&#39;B&#39;</span><span class="p">,</span><span class="s">&#39;C&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]):</span>
+                    <span class="k">return</span> <span class="bp">False</span>
+                <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;I&#39;</span><span class="p">,</span><span class="s">&#39;F&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">modsym</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="s">&#39;1/2&#39;</span><span class="p">):</span>
+                    <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">except</span> <span class="ne">ValueError</span><span class="p">:</span>
+                <span class="k">pass</span>
+            <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">elif</span> <span class="n">LaueId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">LaueModId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">19</span><span class="p">,</span><span class="mi">22</span><span class="p">,]:</span>
+            <span class="k">try</span><span class="p">:</span>
+                <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;I&#39;</span> <span class="ow">and</span> <span class="n">modsym</span><span class="o">.</span><span class="n">count</span><span class="p">(</span><span class="s">&#39;1/2&#39;</span><span class="p">):</span>
+                    <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">except</span> <span class="ne">ValueError</span><span class="p">:</span>
+                <span class="k">pass</span>
+            <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">elif</span> <span class="n">LaueId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">9</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">LaueModId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">19</span><span class="p">,</span><span class="mi">25</span><span class="p">,]:</span>
+            <span class="k">if</span> <span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;R&#39;</span> <span class="ow">or</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;3m1&#39;</span><span class="p">,</span><span class="s">&#39;-3m1&#39;</span><span class="p">])</span> <span class="ow">and</span> <span class="n">modsym</span><span class="o">.</span><span class="n">count</span><span class="p">(</span><span class="s">&#39;1/3&#39;</span><span class="p">):</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">elif</span> <span class="n">LaueId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">10</span><span class="p">,</span><span class="mi">11</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">LaueModId</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">19</span><span class="p">,]:</span>
+            <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">return</span> <span class="bp">False</span>
+        
+    <span class="k">def</span> <span class="nf">fixMonoOrtho</span><span class="p">():</span>
+        <span class="n">mod</span> <span class="o">=</span> <span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">modsym</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39;1/2&#39;</span><span class="p">,</span><span class="s">&#39;0&#39;</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39;1&#39;</span><span class="p">,</span><span class="s">&#39;0&#39;</span><span class="p">)</span>
+        <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;2&#39;</span><span class="p">,</span><span class="s">&#39;m&#39;</span><span class="p">]:</span>  <span class="c">#OK</span>
+            <span class="k">if</span> <span class="n">mod</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;a00&#39;</span><span class="p">,</span><span class="s">&#39;0b0&#39;</span><span class="p">,</span><span class="s">&#39;00g&#39;</span><span class="p">]:</span>
+                <span class="n">result</span> <span class="o">=</span> <span class="p">[</span><span class="n">i</span><span class="o">*-</span><span class="mi">1</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SSGKl&#39;</span><span class="p">]]</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="n">result</span> <span class="o">=</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SSGKl&#39;</span><span class="p">][:]</span>
+            <span class="k">if</span> <span class="s">&#39;/&#39;</span> <span class="ow">in</span> <span class="n">mod</span><span class="p">:</span>
+                <span class="k">return</span> <span class="p">[</span><span class="n">i</span><span class="o">*-</span><span class="mi">1</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">result</span><span class="p">]</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="n">result</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;2/m&#39;</span><span class="p">:</span>    <span class="c">#OK</span>
+            <span class="k">if</span> <span class="n">mod</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;a00&#39;</span><span class="p">,</span><span class="s">&#39;0b0&#39;</span><span class="p">,</span><span class="s">&#39;00g&#39;</span><span class="p">]:</span>
+                <span class="n">result</span> <span class="o">=</span>  <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SSGKl&#39;</span><span class="p">][:]</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="n">result</span> <span class="o">=</span> <span class="p">[</span><span class="n">i</span><span class="o">*-</span><span class="mi">1</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SSGKl&#39;</span><span class="p">]]</span>
+            <span class="k">if</span> <span class="s">&#39;/&#39;</span> <span class="ow">in</span> <span class="n">mod</span><span class="p">:</span>
+                <span class="k">return</span> <span class="p">[</span><span class="n">i</span><span class="o">*-</span><span class="mi">1</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">result</span><span class="p">]</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="n">result</span>
+        <span class="k">else</span><span class="p">:</span>   <span class="c">#orthorhombic</span>
+            <span class="k">return</span> <span class="p">[</span><span class="o">-</span><span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="k">if</span> <span class="n">mod</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;a&#39;</span><span class="p">,</span><span class="s">&#39;b&#39;</span><span class="p">,</span><span class="s">&#39;g&#39;</span><span class="p">]</span> <span class="k">else</span> <span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">)]</span>
+                
+    <span class="k">def</span> <span class="nf">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">):</span>
+        <span class="n">nOps</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+        <span class="k">for</span> <span class="n">OpA</span> <span class="ow">in</span> <span class="n">SSGOps</span><span class="p">:</span>
+            <span class="n">OpAtxt</span> <span class="o">=</span> <span class="n">SSMT2text</span><span class="p">(</span><span class="n">OpA</span><span class="p">)</span>
+            <span class="k">if</span> <span class="s">&#39;t&#39;</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">OpAtxt</span><span class="p">:</span>
+                <span class="k">continue</span>
+            <span class="k">for</span> <span class="n">OpB</span> <span class="ow">in</span> <span class="n">SSGOps</span><span class="p">:</span>
+                <span class="n">OpBtxt</span> <span class="o">=</span> <span class="n">SSMT2text</span><span class="p">(</span><span class="n">OpB</span><span class="p">)</span>
+                <span class="k">if</span> <span class="s">&#39;t&#39;</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">OpBtxt</span><span class="p">:</span>
+                    <span class="k">continue</span>
+                <span class="n">OpC</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">SGProd</span><span class="p">(</span><span class="n">OpB</span><span class="p">,</span><span class="n">OpA</span><span class="p">))</span>
+                <span class="n">OpC</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">%=</span> <span class="mf">1.</span>
+                <span class="n">OpCtxt</span> <span class="o">=</span> <span class="n">SSMT2text</span><span class="p">(</span><span class="n">OpC</span><span class="p">)</span>
+<span class="c">#                print OpAtxt.replace(&#39; &#39;,&#39;&#39;)+&#39; * &#39;+OpBtxt.replace(&#39; &#39;,&#39;&#39;)+&#39; = &#39;+OpCtxt.replace(&#39; &#39;,&#39;&#39;)</span>
+                <span class="k">for</span> <span class="n">k</span><span class="p">,</span><span class="n">OpD</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">):</span>
+                    <span class="n">OpDtxt</span> <span class="o">=</span> <span class="n">SSMT2text</span><span class="p">(</span><span class="n">OpD</span><span class="p">)</span>
+                    <span class="k">if</span> <span class="s">&#39;t&#39;</span> <span class="ow">in</span> <span class="n">OpDtxt</span><span class="p">:</span>
+                        <span class="k">continue</span>
+<span class="c">#                    print &#39;    (&#39;+OpCtxt.replace(&#39; &#39;,&#39;&#39;)+&#39; = ? &#39;+OpDtxt.replace(&#39; &#39;,&#39;&#39;)+&#39;)&#39;</span>
+                    <span class="k">if</span> <span class="n">OpCtxt</span> <span class="o">==</span> <span class="n">OpDtxt</span><span class="p">:</span>
+                        <span class="k">continue</span>
+                    <span class="k">elif</span> <span class="n">OpCtxt</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&#39;,&#39;</span><span class="p">)[:</span><span class="mi">3</span><span class="p">]</span> <span class="o">==</span> <span class="n">OpDtxt</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&#39;,&#39;</span><span class="p">)[:</span><span class="mi">3</span><span class="p">]:</span>
+                        <span class="k">if</span> <span class="s">&#39;t&#39;</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">OpDtxt</span><span class="p">:</span>
+                            <span class="n">SSGOps</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="o">=</span> <span class="n">OpC</span>
+<span class="c">#                            print k,&#39;   new:&#39;,OpCtxt.replace(&#39; &#39;,&#39;&#39;)</span>
+                            <span class="k">break</span>
+                        <span class="k">else</span><span class="p">:</span>
+                            <span class="n">OpCtxt</span> <span class="o">=</span> <span class="n">OpCtxt</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">)</span>
+                            <span class="n">OpDtxt</span> <span class="o">=</span> <span class="n">OpDtxt</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">)</span>
+                            <span class="n">Txt</span> <span class="o">=</span> <span class="n">OpCtxt</span><span class="o">+</span><span class="s">&#39; conflict with &#39;</span><span class="o">+</span><span class="n">OpDtxt</span>
+                            <span class="k">print</span> <span class="n">Txt</span>
+                            <span class="k">return</span> <span class="bp">False</span><span class="p">,</span><span class="n">Txt</span>
+        <span class="k">return</span> <span class="bp">True</span><span class="p">,</span><span class="n">SSGOps</span>
+        
+    <span class="k">def</span> <span class="nf">findMod</span><span class="p">(</span><span class="n">modSym</span><span class="p">):</span>
+        <span class="k">for</span> <span class="n">a</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;a&#39;</span><span class="p">,</span><span class="s">&#39;b&#39;</span><span class="p">,</span><span class="s">&#39;g&#39;</span><span class="p">]:</span>
+            <span class="k">if</span> <span class="n">a</span> <span class="ow">in</span> <span class="n">modSym</span><span class="p">:</span>
+                <span class="k">return</span> <span class="n">a</span>
+                
+    <span class="k">def</span> <span class="nf">genSSGOps</span><span class="p">():</span>
+        <span class="n">SSGOps</span> <span class="o">=</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGOps&#39;</span><span class="p">][:]</span>
+        <span class="n">iFrac</span> <span class="o">=</span> <span class="p">{}</span>
+        <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">frac</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]):</span>
+            <span class="k">if</span> <span class="n">frac</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;1/2&#39;</span><span class="p">,</span><span class="s">&#39;1/3&#39;</span><span class="p">,</span><span class="s">&#39;1/4&#39;</span><span class="p">,</span><span class="s">&#39;1/6&#39;</span><span class="p">,</span><span class="s">&#39;1&#39;</span><span class="p">]:</span>
+                <span class="n">iFrac</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">frac</span><span class="o">+</span><span class="s">&#39;.&#39;</span>
+<span class="c">#        print SGData[&#39;SpGrp&#39;]+SSymbol</span>
+<span class="c">#        print &#39;SSGKl&#39;,SSGKl,&#39;genQ&#39;,genQ,&#39;iFrac&#39;,iFrac,&#39;modSymb&#39;,SSGData[&#39;modSymb&#39;]</span>
+<span class="c"># set identity &amp; 1,-1; triclinic</span>
+        <span class="n">SSGOps</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mf">1.</span>
+<span class="c">## expand if centrosymmetric</span>
+<span class="c">#        if SGData[&#39;SGInv&#39;]:</span>
+<span class="c">#            SSGOps += [[-1*M,V] for M,V in SSGOps[:]]</span>
+<span class="c"># monoclinic - all done &amp; all checked</span>
+        <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;2&#39;</span><span class="p">,</span><span class="s">&#39;m&#39;</span><span class="p">]:</span>  <span class="c">#OK</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">iFrac</span><span class="p">:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;2/m&#39;</span><span class="p">:</span>    <span class="c">#OK</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
+            <span class="k">if</span> <span class="n">gensym</span><span class="p">:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mf">0.5</span>
+            <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">iFrac</span><span class="p">:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            
+<span class="c"># orthorhombic - all OK not fully checked</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;222&#39;</span><span class="p">,</span><span class="s">&#39;mm2&#39;</span><span class="p">,</span><span class="s">&#39;m2m&#39;</span><span class="p">,</span><span class="s">&#39;2mm&#39;</span><span class="p">]:</span>    <span class="c">#OK</span>
+            <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;222&#39;</span><span class="p">:</span>
+                <span class="n">OrOps</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;g&#39;</span><span class="p">:{</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">],</span><span class="mi">1</span><span class="p">:[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">]},</span><span class="s">&#39;a&#39;</span><span class="p">:{</span><span class="mi">1</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">],</span><span class="mi">2</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">]},</span><span class="s">&#39;b&#39;</span><span class="p">:{</span><span class="mi">2</span><span class="p">:[</span><span class="mi">3</span><span class="p">,</span><span class="mi">2</span><span class="p">],</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">]}}</span> <span class="c">#OK</span>
+            <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;mm2&#39;</span><span class="p">:</span>
+                <span class="n">OrOps</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;g&#39;</span><span class="p">:{</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">],</span><span class="mi">1</span><span class="p">:[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">]},</span><span class="s">&#39;a&#39;</span><span class="p">:{</span><span class="mi">1</span><span class="p">:[</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">],</span><span class="mi">2</span><span class="p">:[</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]},</span><span class="s">&#39;b&#39;</span><span class="p">:{</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">],</span><span class="mi">2</span><span class="p">:[</span><span class="mi">3</span><span class="p">,</span><span class="mi">2</span><span class="p">]}}</span> <span class="c">#OK</span>
+            <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;m2m&#39;</span><span class="p">:</span>
+                <span class="n">OrOps</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;b&#39;</span><span class="p">:{</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">],</span><span class="mi">2</span><span class="p">:[</span><span class="mi">3</span><span class="p">,</span><span class="mi">2</span><span class="p">]},</span><span class="s">&#39;g&#39;</span><span class="p">:{</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">],</span><span class="mi">1</span><span class="p">:[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">]},</span><span class="s">&#39;a&#39;</span><span class="p">:{</span><span class="mi">1</span><span class="p">:[</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">],</span><span class="mi">2</span><span class="p">:[</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]}}</span> <span class="c">#OK</span>
+            <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;2mm&#39;</span><span class="p">:</span>
+                <span class="n">OrOps</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;a&#39;</span><span class="p">:{</span><span class="mi">1</span><span class="p">:[</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">],</span><span class="mi">2</span><span class="p">:[</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]},</span><span class="s">&#39;b&#39;</span><span class="p">:{</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">],</span><span class="mi">2</span><span class="p">:[</span><span class="mi">3</span><span class="p">,</span><span class="mi">2</span><span class="p">]},</span><span class="s">&#39;g&#39;</span><span class="p">:{</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">],</span><span class="mi">1</span><span class="p">:[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">]}}</span> <span class="c">#OK</span>
+            <span class="n">a</span> <span class="o">=</span> <span class="n">findMod</span><span class="p">(</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">])</span>
+            <span class="n">OrFrac</span> <span class="o">=</span> <span class="n">OrOps</span><span class="p">[</span><span class="n">a</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="n">iFrac</span><span class="p">:</span>
+                <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">OrFrac</span><span class="p">[</span><span class="n">j</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="mf">2.</span><span class="o">*</span><span class="nb">eval</span><span class="p">(</span><span class="n">iFrac</span><span class="p">[</span><span class="n">j</span><span class="p">])</span><span class="o">*</span><span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span> <span class="o">=</span> <span class="n">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+                <span class="k">if</span> <span class="ow">not</span> <span class="n">E</span><span class="p">:</span>
+                    <span class="k">return</span> <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;mmm&#39;</span><span class="p">:</span>    <span class="c">#OK</span>
+            <span class="n">OrOps</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;g&#39;</span><span class="p">:{</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">],</span><span class="mi">1</span><span class="p">:[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">]},</span><span class="s">&#39;a&#39;</span><span class="p">:{</span><span class="mi">1</span><span class="p">:[</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">],</span><span class="mi">2</span><span class="p">:[</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]},</span><span class="s">&#39;b&#39;</span><span class="p">:{</span><span class="mi">0</span><span class="p">:[</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">],</span><span class="mi">2</span><span class="p">:[</span><span class="mi">3</span><span class="p">,</span><span class="mi">2</span><span class="p">]}}</span> 
+            <span class="n">a</span> <span class="o">=</span> <span class="n">findMod</span><span class="p">(</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">])</span>
+            <span class="k">if</span> <span class="n">a</span> <span class="o">==</span> <span class="s">&#39;g&#39;</span><span class="p">:</span>
+                <span class="n">SSkl</span> <span class="o">=</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+            <span class="k">elif</span> <span class="n">a</span> <span class="o">==</span> <span class="s">&#39;a&#39;</span><span class="p">:</span>
+                <span class="n">SSkl</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="n">SSkl</span> <span class="o">=</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+            <span class="n">OrFrac</span> <span class="o">=</span> <span class="n">OrOps</span><span class="p">[</span><span class="n">a</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="n">iFrac</span><span class="p">:</span>
+                <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">OrFrac</span><span class="p">[</span><span class="n">j</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="mf">2.</span><span class="o">*</span><span class="nb">eval</span><span class="p">(</span><span class="n">iFrac</span><span class="p">[</span><span class="n">j</span><span class="p">])</span><span class="o">*</span><span class="n">SSkl</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSkl</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span> <span class="o">=</span> <span class="n">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+                <span class="k">if</span> <span class="ow">not</span> <span class="n">E</span><span class="p">:</span>
+                    <span class="k">return</span> <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span>                
+<span class="c"># tetragonal - all done &amp; checked</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;4&#39;</span><span class="p">:</span>  <span class="c">#OK</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="k">if</span> <span class="s">&#39;1/2&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;-4&#39;</span><span class="p">:</span> <span class="c">#OK</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="k">if</span> <span class="s">&#39;1/2&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;4/m&#39;</span><span class="p">,]:</span> <span class="c">#OK</span>
+            <span class="k">if</span> <span class="s">&#39;1/2&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">]):</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                <span class="k">if</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span> <span class="o">=</span> <span class="n">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+                <span class="k">if</span> <span class="ow">not</span> <span class="n">E</span><span class="p">:</span>
+                    <span class="k">return</span> <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;422&#39;</span><span class="p">,</span><span class="s">&#39;4mm&#39;</span><span class="p">,</span><span class="s">&#39;-42m&#39;</span><span class="p">,</span><span class="s">&#39;-4m2&#39;</span><span class="p">,]:</span> <span class="c">#OK</span>
+            <span class="n">iGens</span> <span class="o">=</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">]</span>
+            <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;4mm&#39;</span><span class="p">,</span><span class="s">&#39;-4m2&#39;</span><span class="p">,]:</span>
+                <span class="n">iGens</span> <span class="o">=</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">6</span><span class="p">,</span><span class="mi">7</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">iGens</span><span class="p">):</span>
+                <span class="k">if</span> <span class="s">&#39;1/2&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">i</span> <span class="o">&lt;</span> <span class="mi">2</span><span class="p">:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="k">if</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                    <span class="k">if</span> <span class="s">&#39;s&#39;</span> <span class="ow">in</span> <span class="n">gensym</span> <span class="ow">and</span> <span class="n">j</span> <span class="o">==</span> <span class="mi">6</span><span class="p">:</span>
+                        <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                    <span class="k">else</span><span class="p">:</span>
+                        <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span> <span class="o">=</span> <span class="n">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+                <span class="k">if</span> <span class="ow">not</span> <span class="n">E</span><span class="p">:</span>
+                    <span class="k">return</span> <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;4/mmm&#39;</span><span class="p">,]:</span><span class="c">#OK</span>
+            <span class="k">if</span> <span class="s">&#39;1/2&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">6</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
+                <span class="k">if</span> <span class="n">modsym</span><span class="p">:</span>
+                   <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span>  <span class="o">=</span> <span class="o">-</span><span class="n">genQ</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">6</span><span class="p">,</span><span class="mi">7</span><span class="p">]):</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">E</span><span class="p">,</span><span class="n">Result</span> <span class="o">=</span> <span class="n">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+                <span class="k">if</span> <span class="ow">not</span> <span class="n">E</span><span class="p">:</span>
+                    <span class="k">return</span> <span class="n">E</span><span class="p">,</span><span class="n">Result</span>
+                <span class="k">else</span><span class="p">:</span>
+                    <span class="n">SSGOps</span> <span class="o">=</span> <span class="n">Result</span>
+                
+<span class="c"># trigonal - all done &amp; checked</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;3&#39;</span><span class="p">:</span>  <span class="c">#OK</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="k">if</span> <span class="s">&#39;1/3&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;-3&#39;</span><span class="p">:</span> <span class="c">#OK</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="k">if</span> <span class="s">&#39;1/3&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;312&#39;</span><span class="p">,</span><span class="s">&#39;3m&#39;</span><span class="p">,</span><span class="s">&#39;-3m&#39;</span><span class="p">,</span><span class="s">&#39;-3m1&#39;</span><span class="p">,</span><span class="s">&#39;3m1&#39;</span><span class="p">]:</span>   <span class="c">#OK</span>
+            <span class="k">if</span> <span class="s">&#39;1/3&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">5</span><span class="p">]):</span>
+                <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;3m&#39;</span><span class="p">,</span><span class="s">&#39;-3m&#39;</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                <span class="k">else</span><span class="p">:</span>                    
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span>
+                <span class="k">if</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;321&#39;</span><span class="p">,</span><span class="s">&#39;32&#39;</span><span class="p">]:</span>   <span class="c">#OK</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">4</span><span class="p">]):</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="k">if</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;31m&#39;</span><span class="p">,</span><span class="s">&#39;-31m&#39;</span><span class="p">]:</span>   <span class="c">#OK</span>
+            <span class="n">ids</span> <span class="o">=</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span>
+            <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;-31m&#39;</span><span class="p">:</span>
+                <span class="n">ids</span> <span class="o">=</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span>
+            <span class="k">if</span> <span class="s">&#39;1/3&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">ids</span><span class="p">[</span><span class="mi">0</span><span class="p">]][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">ids</span><span class="p">):</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                <span class="k">if</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span>
+                     
+<span class="c"># hexagonal all done &amp; checked</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;6&#39;</span><span class="p">:</span>  <span class="c">#OK</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;-6&#39;</span><span class="p">:</span> <span class="c">#OK</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;6/m&#39;</span><span class="p">,]:</span> <span class="c">#OK</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="n">SSGKl</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+            <span class="n">SSGOps</span><span class="p">[</span><span class="mi">2</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;622&#39;</span><span class="p">,]:</span> <span class="c">#OK</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">9</span><span class="p">]):</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="k">if</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span> <span class="o">=</span> <span class="n">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+            
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;6mm&#39;</span><span class="p">,</span><span class="s">&#39;-62m&#39;</span><span class="p">,</span><span class="s">&#39;-6m2&#39;</span><span class="p">,]:</span> <span class="c">#OK</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">6</span><span class="p">,</span><span class="mi">7</span><span class="p">]):</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSGKl</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="k">if</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span> <span class="o">=</span> <span class="n">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;6/mmm&#39;</span><span class="p">,]:</span> <span class="c"># OK</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">10</span><span class="p">,</span><span class="mi">11</span><span class="p">]):</span>
+                <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                <span class="k">if</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                    <span class="n">SSGOps</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">genQ</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+                <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span> <span class="o">=</span> <span class="n">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;1&#39;</span><span class="p">,</span><span class="s">&#39;-1&#39;</span><span class="p">]:</span> <span class="c">#triclinic - done</span>
+            <span class="k">return</span> <span class="bp">True</span><span class="p">,</span><span class="n">SSGOps</span>
+        <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span> <span class="o">=</span> <span class="n">extendSSGOps</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">)</span>
+        <span class="k">return</span> <span class="n">E</span><span class="p">,</span><span class="n">SSGOps</span>
+        
+    <span class="k">def</span> <span class="nf">specialGen</span><span class="p">(</span><span class="n">gensym</span><span class="p">,</span><span class="n">modsym</span><span class="p">):</span>
+        <span class="n">sym</span> <span class="o">=</span> <span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">gensym</span><span class="p">)</span>
+        <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;2/m&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="s">&#39;n&#39;</span> <span class="ow">in</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]:</span>
+            <span class="k">if</span> <span class="s">&#39;s&#39;</span> <span class="ow">in</span> <span class="n">sym</span><span class="p">:</span>
+                <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;ss&#39;</span>
+        <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;-62m&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;00s&#39;</span><span class="p">:</span>
+            <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;0ss&#39;</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;222&#39;</span><span class="p">,]:</span>
+            <span class="k">if</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;00s&#39;</span><span class="p">:</span>
+                <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;0ss&#39;</span>
+            <span class="k">elif</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;0s0&#39;</span><span class="p">:</span>
+                <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;ss0&#39;</span>
+            <span class="k">elif</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;s00&#39;</span><span class="p">:</span>
+                <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;s0s&#39;</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;mmm&#39;</span><span class="p">,]:</span>
+            <span class="k">if</span> <span class="s">&#39;g&#39;</span> <span class="ow">in</span> <span class="n">modsym</span><span class="p">:</span>
+                <span class="k">if</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;s00&#39;</span><span class="p">:</span>
+                    <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;s0s&#39;</span>
+                <span class="k">elif</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;0s0&#39;</span><span class="p">:</span>
+                    <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;0ss&#39;</span>
+            <span class="k">elif</span> <span class="s">&#39;a&#39;</span> <span class="ow">in</span> <span class="n">modsym</span><span class="p">:</span>
+                <span class="k">if</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;0s0&#39;</span><span class="p">:</span>
+                    <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;ss0&#39;</span>
+                <span class="k">elif</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;00s&#39;</span><span class="p">:</span>
+                    <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;s0s&#39;</span>
+            <span class="k">elif</span> <span class="s">&#39;b&#39;</span> <span class="ow">in</span> <span class="n">modsym</span><span class="p">:</span>
+                <span class="k">if</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;00s&#39;</span><span class="p">:</span>
+                    <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;0ss&#39;</span>
+                <span class="k">elif</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;s00&#39;</span><span class="p">:</span>
+                    <span class="n">gensym</span> <span class="o">=</span> <span class="s">&#39;ss0&#39;</span>
+        <span class="k">return</span> <span class="n">gensym</span>
+                    
+    <span class="k">def</span> <span class="nf">checkGen</span><span class="p">(</span><span class="n">gensym</span><span class="p">):</span>
+        <span class="n">sym</span> <span class="o">=</span> <span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">gensym</span><span class="p">)</span>
+<span class="c"># monoclinic - all done</span>
+        <span class="k">if</span> <span class="nb">str</span><span class="p">(</span><span class="n">SSGKl</span><span class="p">)</span> <span class="o">==</span> <span class="s">&#39;[-1]&#39;</span> <span class="ow">and</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;s&#39;</span><span class="p">:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;2/m&#39;</span><span class="p">,]:</span>
+            <span class="k">if</span> <span class="nb">str</span><span class="p">(</span><span class="n">SSGKl</span><span class="p">)</span> <span class="o">==</span> <span class="s">&#39;[-1, 1]&#39;</span> <span class="ow">and</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;0s&#39;</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">elif</span> <span class="nb">str</span><span class="p">(</span><span class="n">SSGKl</span><span class="p">)</span> <span class="o">==</span> <span class="s">&#39;[1, -1]&#39;</span> <span class="ow">and</span> <span class="n">sym</span> <span class="o">==</span> <span class="s">&#39;s0&#39;</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+<span class="c">#orthorhombic - all </span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;222&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;s00&#39;</span><span class="p">,</span><span class="s">&#39;0s0&#39;</span><span class="p">,</span><span class="s">&#39;00s&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;2mm&#39;</span><span class="p">,</span><span class="s">&#39;m2m&#39;</span><span class="p">,</span><span class="s">&#39;mm2&#39;</span><span class="p">,</span><span class="s">&#39;mmm&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,]</span><span class="o">+</span><span class="n">GenSymList</span><span class="p">[</span><span class="mi">4</span><span class="p">:</span><span class="mi">15</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+<span class="c">#tetragonal - all done</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;4&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;s&#39;</span><span class="p">,</span><span class="s">&#39;q&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;-4&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,]:</span>
+            <span class="k">return</span> <span class="bp">False</span>             
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;4/m&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;s0&#39;</span><span class="p">,</span><span class="s">&#39;q0&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;422&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;q00&#39;</span><span class="p">,</span><span class="s">&#39;s00&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>         
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;4mm&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;ss0&#39;</span><span class="p">,</span><span class="s">&#39;s0s&#39;</span><span class="p">,</span><span class="s">&#39;0ss&#39;</span><span class="p">,</span><span class="s">&#39;00s&#39;</span><span class="p">,</span><span class="s">&#39;qq0&#39;</span><span class="p">,</span><span class="s">&#39;qqs&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;-4m2&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;0s0&#39;</span><span class="p">,</span><span class="s">&#39;0q0&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;-42m&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;0ss&#39;</span><span class="p">,</span><span class="s">&#39;00q&#39;</span><span class="p">,]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;4/mmm&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;s00s&#39;</span><span class="p">,</span><span class="s">&#39;s0s0&#39;</span><span class="p">,</span><span class="s">&#39;00ss&#39;</span><span class="p">,</span><span class="s">&#39;000s&#39;</span><span class="p">,]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+<span class="c">#trigonal/rhombohedral - all done</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;3&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;t&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;-3&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;32&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;t0&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;321&#39;</span><span class="p">,</span><span class="s">&#39;312&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;t00&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;3m&#39;</span><span class="p">,</span><span class="s">&#39;-3m&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;0s&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;3m1&#39;</span><span class="p">,</span><span class="s">&#39;-3m1&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;0s0&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;31m&#39;</span><span class="p">,</span><span class="s">&#39;-31m&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;00s&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+<span class="c">#hexagonal - all done</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;6&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;s&#39;</span><span class="p">,</span><span class="s">&#39;h&#39;</span><span class="p">,</span><span class="s">&#39;t&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span> 
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;-6&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;6/m&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;s0&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;622&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;h00&#39;</span><span class="p">,</span><span class="s">&#39;t00&#39;</span><span class="p">,</span><span class="s">&#39;s00&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>         
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;6mm&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;ss0&#39;</span><span class="p">,</span><span class="s">&#39;s0s&#39;</span><span class="p">,</span><span class="s">&#39;0ss&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;-6m2&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;0s0&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;-62m&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;00s&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;6/mmm&#39;</span><span class="p">,]</span> <span class="ow">and</span> <span class="n">sym</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;s00s&#39;</span><span class="p">,</span><span class="s">&#39;s0s0&#39;</span><span class="p">,</span><span class="s">&#39;00ss&#39;</span><span class="p">]:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">return</span> <span class="bp">True</span>
+        
+    <span class="n">LaueModList</span> <span class="o">=</span> <span class="p">[</span>
+        <span class="s">&#39;abg&#39;</span><span class="p">,</span><span class="s">&#39;ab0&#39;</span><span class="p">,</span><span class="s">&#39;ab1/2&#39;</span><span class="p">,</span><span class="s">&#39;a0g&#39;</span><span class="p">,</span><span class="s">&#39;a1/2g&#39;</span><span class="p">,</span>  <span class="s">&#39;0bg&#39;</span><span class="p">,</span><span class="s">&#39;1/2bg&#39;</span><span class="p">,</span><span class="s">&#39;a00&#39;</span><span class="p">,</span><span class="s">&#39;a01/2&#39;</span><span class="p">,</span><span class="s">&#39;a1/20&#39;</span><span class="p">,</span>
+        <span class="s">&#39;a1/21/2&#39;</span><span class="p">,</span><span class="s">&#39;a01&#39;</span><span class="p">,</span><span class="s">&#39;a10&#39;</span><span class="p">,</span><span class="s">&#39;0b0&#39;</span><span class="p">,</span><span class="s">&#39;0b1/2&#39;</span><span class="p">,</span> <span class="s">&#39;1/2b0&#39;</span><span class="p">,</span><span class="s">&#39;1/2b1/2&#39;</span><span class="p">,</span><span class="s">&#39;0b1&#39;</span><span class="p">,</span><span class="s">&#39;1b0&#39;</span><span class="p">,</span><span class="s">&#39;00g&#39;</span><span class="p">,</span>
+        <span class="s">&#39;01/2g&#39;</span><span class="p">,</span><span class="s">&#39;1/20g&#39;</span><span class="p">,</span><span class="s">&#39;1/21/2g&#39;</span><span class="p">,</span><span class="s">&#39;01g&#39;</span><span class="p">,</span><span class="s">&#39;10g&#39;</span><span class="p">,</span> <span class="s">&#39;1/31/3g&#39;</span><span class="p">]</span>
+    <span class="n">LaueList</span> <span class="o">=</span> <span class="p">[</span><span class="s">&#39;-1&#39;</span><span class="p">,</span><span class="s">&#39;2/m&#39;</span><span class="p">,</span><span class="s">&#39;mmm&#39;</span><span class="p">,</span><span class="s">&#39;4/m&#39;</span><span class="p">,</span><span class="s">&#39;4/mmm&#39;</span><span class="p">,</span><span class="s">&#39;3R&#39;</span><span class="p">,</span><span class="s">&#39;3mR&#39;</span><span class="p">,</span><span class="s">&#39;3&#39;</span><span class="p">,</span><span class="s">&#39;3m1&#39;</span><span class="p">,</span><span class="s">&#39;31m&#39;</span><span class="p">,</span><span class="s">&#39;6/m&#39;</span><span class="p">,</span><span class="s">&#39;6/mmm&#39;</span><span class="p">,</span><span class="s">&#39;m3&#39;</span><span class="p">,</span><span class="s">&#39;m3m&#39;</span><span class="p">]</span>
+    <span class="n">GenSymList</span> <span class="o">=</span> <span class="p">[</span><span class="s">&#39;&#39;</span><span class="p">,</span><span class="s">&#39;s&#39;</span><span class="p">,</span><span class="s">&#39;0s&#39;</span><span class="p">,</span><span class="s">&#39;s0&#39;</span><span class="p">,</span> <span class="s">&#39;00s&#39;</span><span class="p">,</span><span class="s">&#39;0s0&#39;</span><span class="p">,</span><span class="s">&#39;s00&#39;</span><span class="p">,</span><span class="s">&#39;s0s&#39;</span><span class="p">,</span><span class="s">&#39;ss0&#39;</span><span class="p">,</span><span class="s">&#39;0ss&#39;</span><span class="p">,</span><span class="s">&#39;q00&#39;</span><span class="p">,</span><span class="s">&#39;0q0&#39;</span><span class="p">,</span><span class="s">&#39;00q&#39;</span><span class="p">,</span><span class="s">&#39;qq0&#39;</span><span class="p">,</span><span class="s">&#39;q0q&#39;</span><span class="p">,</span> <span class="s">&#39;0qq&#39;</span><span class="p">,</span>
+        <span class="s">&#39;q&#39;</span><span class="p">,</span><span class="s">&#39;qqs&#39;</span><span class="p">,</span><span class="s">&#39;s0s0&#39;</span><span class="p">,</span><span class="s">&#39;00ss&#39;</span><span class="p">,</span><span class="s">&#39;s00s&#39;</span><span class="p">,</span><span class="s">&#39;t&#39;</span><span class="p">,</span><span class="s">&#39;t00&#39;</span><span class="p">,</span><span class="s">&#39;t0&#39;</span><span class="p">,</span><span class="s">&#39;h&#39;</span><span class="p">,</span><span class="s">&#39;h00&#39;</span><span class="p">,</span><span class="s">&#39;000s&#39;</span><span class="p">]</span>
+    <span class="n">Fracs</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;1/2&#39;</span><span class="p">:</span><span class="mf">0.5</span><span class="p">,</span><span class="s">&#39;1/3&#39;</span><span class="p">:</span><span class="mf">1.</span><span class="o">/</span><span class="mi">3</span><span class="p">,</span><span class="s">&#39;1&#39;</span><span class="p">:</span><span class="mf">1.0</span><span class="p">,</span><span class="s">&#39;0&#39;</span><span class="p">:</span><span class="mf">0.</span><span class="p">,</span><span class="s">&#39;s&#39;</span><span class="p">:</span><span class="o">.</span><span class="mi">5</span><span class="p">,</span><span class="s">&#39;t&#39;</span><span class="p">:</span><span class="mf">1.</span><span class="o">/</span><span class="mi">3</span><span class="p">,</span><span class="s">&#39;q&#39;</span><span class="p">:</span><span class="o">.</span><span class="mi">25</span><span class="p">,</span><span class="s">&#39;h&#39;</span><span class="p">:</span><span class="mf">1.</span><span class="o">/</span><span class="mi">6</span><span class="p">,</span><span class="s">&#39;a&#39;</span><span class="p">:</span><span class="mf">0.</span><span class="p">,</span><span class="s">&#39;b&#39;</span><span class="p">:</span><span class="mf">0.</span><span class="p">,</span><span class="s">&#39;g&#39;</span><span class="p">:</span><span class="mf">0.</span><span class="p">}</span>
+    <span class="n">LaueId</span> <span class="o">=</span> <span class="n">LaueList</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">])</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;m3&#39;</span><span class="p">,</span><span class="s">&#39;m3m&#39;</span><span class="p">]:</span>
+        <span class="k">return</span> <span class="s">&#39;(3+1) superlattices not defined for cubic space groups&#39;</span><span class="p">,</span><span class="bp">None</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;3R&#39;</span><span class="p">,</span><span class="s">&#39;3mR&#39;</span><span class="p">]:</span>
+        <span class="k">return</span> <span class="s">&#39;(3+1) superlattices not defined for rhombohedral settings - use hexagonal setting&#39;</span><span class="p">,</span><span class="bp">None</span>
+    <span class="k">try</span><span class="p">:</span>
+        <span class="n">modsym</span><span class="p">,</span><span class="n">gensym</span> <span class="o">=</span> <span class="n">splitSSsym</span><span class="p">(</span><span class="n">SSymbol</span><span class="p">)</span>
+    <span class="k">except</span> <span class="ne">ValueError</span><span class="p">:</span>
+        <span class="k">return</span> <span class="s">&#39;Error in superspace symbol &#39;</span><span class="o">+</span><span class="n">SSymbol</span><span class="p">,</span><span class="bp">None</span>
+    <span class="k">if</span> <span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">gensym</span><span class="p">)</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">GenSymList</span><span class="p">:</span>
+        <span class="k">return</span> <span class="s">&#39;unknown generator symbol &#39;</span><span class="o">+</span><span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">gensym</span><span class="p">),</span><span class="bp">None</span>
+    <span class="k">try</span><span class="p">:</span>
+        <span class="n">LaueModId</span> <span class="o">=</span> <span class="n">LaueModList</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">modsym</span><span class="p">))</span>
+    <span class="k">except</span> <span class="ne">ValueError</span><span class="p">:</span>
+        <span class="k">return</span> <span class="s">&#39;Unknown modulation symbol &#39;</span><span class="o">+</span><span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">modsym</span><span class="p">),</span><span class="bp">None</span>
+    <span class="k">if</span> <span class="ow">not</span> <span class="n">checkModSym</span><span class="p">():</span>
+        <span class="k">return</span> <span class="s">&#39;Modulation &#39;</span><span class="o">+</span><span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">modsym</span><span class="p">)</span><span class="o">+</span><span class="s">&#39; not consistent with space group &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">],</span><span class="bp">None</span>
+    <span class="n">modQ</span> <span class="o">=</span> <span class="p">[</span><span class="n">Fracs</span><span class="p">[</span><span class="n">mod</span><span class="p">]</span> <span class="k">for</span> <span class="n">mod</span> <span class="ow">in</span> <span class="n">modsym</span><span class="p">]</span>
+    <span class="n">SSGKl</span> <span class="o">=</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SSGKl&#39;</span><span class="p">][:]</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;2/m&#39;</span><span class="p">,</span><span class="s">&#39;mmm&#39;</span><span class="p">]:</span>
+        <span class="n">SSGKl</span> <span class="o">=</span> <span class="n">fixMonoOrtho</span><span class="p">()</span>
+    <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">gensym</span><span class="p">)</span> <span class="ow">and</span> <span class="nb">len</span><span class="p">(</span><span class="n">gensym</span><span class="p">)</span> <span class="o">!=</span> <span class="nb">len</span><span class="p">(</span><span class="n">SSGKl</span><span class="p">):</span>
+        <span class="k">return</span> <span class="s">&#39;Wrong number of items in generator symbol &#39;</span><span class="o">+</span><span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">gensym</span><span class="p">),</span><span class="bp">None</span>
+    <span class="k">if</span> <span class="ow">not</span> <span class="n">checkGen</span><span class="p">(</span><span class="n">gensym</span><span class="p">):</span>
+        <span class="k">return</span> <span class="s">&#39;Generator &#39;</span><span class="o">+</span><span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">gensym</span><span class="p">)</span><span class="o">+</span><span class="s">&#39; not consistent with space group &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">],</span><span class="bp">None</span>
+    <span class="n">gensym</span> <span class="o">=</span> <span class="n">specialGen</span><span class="p">(</span><span class="n">gensym</span><span class="p">,</span><span class="n">modsym</span><span class="p">)</span>
+    <span class="n">genQ</span> <span class="o">=</span> <span class="p">[</span><span class="n">Fracs</span><span class="p">[</span><span class="n">mod</span><span class="p">]</span> <span class="k">for</span> <span class="n">mod</span> <span class="ow">in</span> <span class="n">gensym</span><span class="p">]</span>
+    <span class="k">if</span> <span class="ow">not</span> <span class="n">genQ</span><span class="p">:</span>
+        <span class="n">genQ</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]</span>
+    <span class="n">SSGData</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;SSpGrp&#39;</span><span class="p">:</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SpGrp&#39;</span><span class="p">]</span><span class="o">+</span><span class="n">SSymbol</span><span class="p">,</span><span class="s">&#39;modQ&#39;</span><span class="p">:</span><span class="n">modQ</span><span class="p">,</span><span class="s">&#39;modSymb&#39;</span><span class="p">:</span><span class="n">modsym</span><span class="p">,</span><span class="s">&#39;SSGKl&#39;</span><span class="p">:</span><span class="n">SSGKl</span><span class="p">}</span>
+    <span class="n">SSCen</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="nb">len</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGCen&#39;</span><span class="p">]),</span><span class="mi">4</span><span class="p">))</span>
+    <span class="k">for</span> <span class="n">icen</span><span class="p">,</span><span class="n">cen</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGCen&#39;</span><span class="p">]):</span>
+        <span class="n">SSCen</span><span class="p">[</span><span class="n">icen</span><span class="p">,</span><span class="mi">0</span><span class="p">:</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">cen</span>
+    <span class="n">SSCen</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="mi">4</span><span class="p">)</span>
+    <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGCen&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">SSCen</span>
+    <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGOps&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="k">for</span> <span class="n">iop</span><span class="p">,</span><span class="n">op</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGOps&#39;</span><span class="p">]):</span>
+        <span class="n">T</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="mi">4</span><span class="p">)</span>
+        <span class="n">ssop</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="mi">4</span><span class="p">,</span><span class="mi">4</span><span class="p">))</span>
+        <span class="n">ssop</span><span class="p">[:</span><span class="mi">3</span><span class="p">,:</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">op</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+        <span class="n">T</span><span class="p">[:</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">op</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
+        <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGOps&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">append</span><span class="p">([</span><span class="n">ssop</span><span class="p">,</span><span class="n">T</span><span class="p">])</span>
+    <span class="n">E</span><span class="p">,</span><span class="n">Result</span> <span class="o">=</span> <span class="n">genSSGOps</span><span class="p">()</span>
+    <span class="k">if</span> <span class="n">E</span><span class="p">:</span>
+        <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGOps&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">Result</span>
+        <span class="k">if</span> <span class="n">DEBUG</span><span class="p">:</span>
+            <span class="k">print</span> <span class="s">&#39;Super spacegroup operators for &#39;</span><span class="o">+</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSpGrp&#39;</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">Op</span> <span class="ow">in</span> <span class="n">Result</span><span class="p">:</span>
+                <span class="k">print</span> <span class="n">SSMT2text</span><span class="p">(</span><span class="n">Op</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">)</span>
+            <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGInv&#39;</span><span class="p">]:</span>                                 
+                <span class="k">for</span> <span class="n">Op</span> <span class="ow">in</span> <span class="n">Result</span><span class="p">:</span>
+                    <span class="n">Op</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="n">Op</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="o">-</span><span class="n">Op</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">%</span><span class="mf">1.</span><span class="p">]</span>
+                    <span class="k">print</span> <span class="n">SSMT2text</span><span class="p">(</span><span class="n">Op</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">)</span>                                 
+        <span class="k">return</span> <span class="bp">None</span><span class="p">,</span><span class="n">SSGData</span>
+    <span class="k">else</span><span class="p">:</span>
+        <span class="k">return</span> <span class="n">Result</span><span class="o">+</span><span class="s">&#39;</span><span class="se">\n</span><span class="s">Operator conflict - incorrect superspace symbol&#39;</span><span class="p">,</span><span class="bp">None</span>
 </div>
+<div class="viewcode-block" id="splitSSsym"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.splitSSsym">[docs]</a><span class="k">def</span> <span class="nf">splitSSsym</span><span class="p">(</span><span class="n">SSymbol</span><span class="p">):</span>
+    <span class="sd">&#39;&#39;&#39;</span>
+<span class="sd">    Splits supersymmetry symbol into two lists of strings</span>
+<span class="sd">    &#39;&#39;&#39;</span>
+    <span class="n">modsym</span><span class="p">,</span><span class="n">gensym</span> <span class="o">=</span> <span class="n">SSymbol</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">)</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&#39;)&#39;</span><span class="p">)</span>
+    <span class="n">nfrac</span> <span class="o">=</span> <span class="n">modsym</span><span class="o">.</span><span class="n">count</span><span class="p">(</span><span class="s">&#39;/&#39;</span><span class="p">)</span>
+    <span class="n">modsym</span> <span class="o">=</span> <span class="n">modsym</span><span class="o">.</span><span class="n">lstrip</span><span class="p">(</span><span class="s">&#39;(&#39;</span><span class="p">)</span>
+    <span class="k">if</span> <span class="n">nfrac</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
+        <span class="n">modsym</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">modsym</span><span class="p">)</span>
+    <span class="k">elif</span> <span class="n">nfrac</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
+        <span class="n">pos</span> <span class="o">=</span> <span class="n">modsym</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s">&#39;/&#39;</span><span class="p">)</span>
+        <span class="k">if</span> <span class="n">pos</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
+            <span class="n">modsym</span> <span class="o">=</span> <span class="p">[</span><span class="n">modsym</span><span class="p">[:</span><span class="mi">3</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">3</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">4</span><span class="p">]]</span>
+        <span class="k">elif</span> <span class="n">pos</span> <span class="o">==</span> <span class="mi">2</span><span class="p">:</span>
+            <span class="n">modsym</span> <span class="o">=</span> <span class="p">[</span><span class="n">modsym</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">4</span><span class="p">]]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="n">modsym</span> <span class="o">=</span> <span class="p">[</span><span class="n">modsym</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">2</span><span class="p">:]]</span>
+    <span class="k">else</span><span class="p">:</span>
+        <span class="n">lpos</span> <span class="o">=</span> <span class="n">modsym</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s">&#39;/&#39;</span><span class="p">)</span>
+        <span class="n">rpos</span> <span class="o">=</span> <span class="n">modsym</span><span class="o">.</span><span class="n">rfind</span><span class="p">(</span><span class="s">&#39;/&#39;</span><span class="p">)</span>
+        <span class="k">if</span> <span class="n">lpos</span> <span class="o">==</span> <span class="mi">1</span> <span class="ow">and</span> <span class="n">rpos</span> <span class="o">==</span> <span class="mi">4</span><span class="p">:</span>
+            <span class="n">modsym</span> <span class="o">=</span> <span class="p">[</span><span class="n">modsym</span><span class="p">[:</span><span class="mi">3</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">3</span><span class="p">:</span><span class="mi">6</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">6</span><span class="p">]]</span>
+        <span class="k">elif</span> <span class="n">lpos</span> <span class="o">==</span> <span class="mi">1</span> <span class="ow">and</span> <span class="n">rpos</span> <span class="o">==</span> <span class="mi">5</span><span class="p">:</span>
+            <span class="n">modsym</span> <span class="o">=</span> <span class="p">[</span><span class="n">modsym</span><span class="p">[:</span><span class="mi">3</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">3</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">4</span><span class="p">:]]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="n">modsym</span> <span class="o">=</span> <span class="p">[</span><span class="n">modsym</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span><span class="n">modsym</span><span class="p">[</span><span class="mi">4</span><span class="p">:]]</span>
+    <span class="n">gensym</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">gensym</span><span class="p">)</span>
+    <span class="k">return</span> <span class="n">modsym</span><span class="p">,</span><span class="n">gensym</span>
+        </div>
+<div class="viewcode-block" id="SSGPrint"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SSGPrint">[docs]</a><span class="k">def</span> <span class="nf">SSGPrint</span><span class="p">(</span><span class="n">SGData</span><span class="p">,</span><span class="n">SSGData</span><span class="p">):</span>
+    <span class="sd">&#39;&#39;&#39;</span>
+<span class="sd">    Print the output of SSpcGroup in a nicely formatted way. Used in SSpaceGroup</span>
+
+<span class="sd">    :param SGData: space group data structure as defined in SpcGroup above.</span>
+<span class="sd">    :param SSGData: from :func:`SSpcGroup`</span>
+<span class="sd">    :returns:</span>
+<span class="sd">        SSGText - list of strings with the superspace group details</span>
+<span class="sd">        SGTable - list of strings for each of the operations</span>
+<span class="sd">    &#39;&#39;&#39;</span>
+    <span class="n">Mult</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGCen&#39;</span><span class="p">])</span><span class="o">*</span><span class="nb">len</span><span class="p">(</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGOps&#39;</span><span class="p">])</span>
+    <span class="n">SSGText</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; Superspace Group: &#39;</span><span class="o">+</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSpGrp&#39;</span><span class="p">])</span>
+    <span class="n">CentStr</span> <span class="o">=</span> <span class="s">&#39;centrosymmetric&#39;</span>
+    <span class="k">if</span> <span class="ow">not</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGInv&#39;</span><span class="p">]:</span>
+        <span class="n">CentStr</span> <span class="o">=</span> <span class="s">&#39;non&#39;</span><span class="o">+</span><span class="n">CentStr</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="s">&#39;ABCIFR&#39;</span><span class="p">:</span>
+        <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The lattice is &#39;</span><span class="o">+</span><span class="n">CentStr</span><span class="o">+</span><span class="s">&#39; &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLatt&#39;</span><span class="p">]</span><span class="o">+</span><span class="s">&#39;-centered &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGSys&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">lower</span><span class="p">())</span>
+    <span class="k">else</span><span class="p">:</span>
+        <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The superlattice is &#39;</span><span class="o">+</span><span class="n">CentStr</span><span class="o">+</span><span class="s">&#39; &#39;</span><span class="o">+</span><span class="s">&#39;primitive &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGSys&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">lower</span><span class="p">())</span>        
+    <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The Laue symmetry is &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">])</span>
+    <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The superlattice point group is &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPtGrp&#39;</span><span class="p">]</span><span class="o">+</span><span class="s">&#39;,&#39;</span><span class="o">+</span><span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">([</span><span class="nb">str</span><span class="p">(</span><span class="n">i</span><span class="p">)</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGKl&#39;</span><span class="p">]]))</span>
+    <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The number of superspace group generators is &#39;</span><span class="o">+</span><span class="nb">str</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SSGKl&#39;</span><span class="p">])))</span>
+    <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; Multiplicity of a general site is &#39;</span><span class="o">+</span><span class="nb">str</span><span class="p">(</span><span class="n">Mult</span><span class="p">))</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">]</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;a&#39;</span><span class="p">,</span><span class="s">&#39;b&#39;</span><span class="p">,</span><span class="s">&#39;c&#39;</span><span class="p">]:</span>
+        <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The unique monoclinic axis is &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">])</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGInv&#39;</span><span class="p">]:</span>
+        <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The inversion center is located at 0,0,0&#39;</span><span class="p">)</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPolax&#39;</span><span class="p">]:</span>
+        <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The location of the origin is arbitrary in &#39;</span><span class="o">+</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGPolax&#39;</span><span class="p">])</span>
+    <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">)</span>
+    <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGCen&#39;</span><span class="p">])</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">:</span>
+        <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The equivalent positions are:&#39;</span><span class="p">)</span>
+        <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; (&#39;</span><span class="o">+</span><span class="n">SSLatt2text</span><span class="p">(</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGCen&#39;</span><span class="p">])</span><span class="o">+</span><span class="s">&#39;)+</span><span class="se">\n</span><span class="s">&#39;</span><span class="p">)</span>
+    <span class="k">else</span><span class="p">:</span>
+        <span class="n">SSGText</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39; The equivalent positions are:</span><span class="se">\n</span><span class="s">&#39;</span><span class="p">)</span>
+    <span class="n">SSGTable</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">Opr</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGOps&#39;</span><span class="p">]):</span>
+        <span class="n">SSGTable</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">&#39;(</span><span class="si">%2d</span><span class="s">) </span><span class="si">%s</span><span class="s">&#39;</span><span class="o">%</span><span class="p">(</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="n">SSMT2text</span><span class="p">(</span><span class="n">Opr</span><span class="p">)))</span>
+    <span class="k">return</span> <span class="n">SSGText</span><span class="p">,</span><span class="n">SSGTable</span>
+    </div>
+<div class="viewcode-block" id="SSGModCheck"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SSGModCheck">[docs]</a><span class="k">def</span> <span class="nf">SSGModCheck</span><span class="p">(</span><span class="n">Vec</span><span class="p">,</span><span class="n">modSymb</span><span class="p">):</span>
+    <span class="sd">&#39;&#39;&#39; Checks modulation vector compatibility with supersymmetry space group symbol. </span>
+<span class="sd">    Superspace group symbol takes precidence &amp; the vector will be modified accordingly</span>
+<span class="sd">    &#39;&#39;&#39;</span>
+    <span class="n">Fracs</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;1/2&#39;</span><span class="p">:</span><span class="mf">0.5</span><span class="p">,</span><span class="s">&#39;1/3&#39;</span><span class="p">:</span><span class="mf">1.</span><span class="o">/</span><span class="mi">3</span><span class="p">,</span><span class="s">&#39;1&#39;</span><span class="p">:</span><span class="mf">1.0</span><span class="p">,</span><span class="s">&#39;0&#39;</span><span class="p">:</span><span class="mf">0.</span><span class="p">,</span><span class="s">&#39;a&#39;</span><span class="p">:</span><span class="mf">0.</span><span class="p">,</span><span class="s">&#39;b&#39;</span><span class="p">:</span><span class="mf">0.</span><span class="p">,</span><span class="s">&#39;g&#39;</span><span class="p">:</span><span class="mf">0.</span><span class="p">}</span>
+    <span class="n">modQ</span> <span class="o">=</span> <span class="p">[</span><span class="n">Fracs</span><span class="p">[</span><span class="n">mod</span><span class="p">]</span> <span class="k">for</span> <span class="n">mod</span> <span class="ow">in</span> <span class="n">modSymb</span><span class="p">]</span>
+    <span class="n">Vec</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.1</span> <span class="k">if</span> <span class="p">(</span><span class="n">vec</span> <span class="o">==</span> <span class="mf">0.0</span> <span class="ow">and</span> <span class="n">mod</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;a&#39;</span><span class="p">,</span><span class="s">&#39;b&#39;</span><span class="p">,</span><span class="s">&#39;g&#39;</span><span class="p">])</span> <span class="k">else</span> <span class="n">vec</span> <span class="k">for</span> <span class="p">[</span><span class="n">vec</span><span class="p">,</span><span class="n">mod</span><span class="p">]</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">Vec</span><span class="p">,</span><span class="n">modSymb</span><span class="p">)]</span>
+    <span class="k">return</span> <span class="p">[</span><span class="n">Q</span> <span class="k">if</span> <span class="n">mod</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;a&#39;</span><span class="p">,</span><span class="s">&#39;b&#39;</span><span class="p">,</span><span class="s">&#39;g&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">vec</span> <span class="o">!=</span> <span class="n">Q</span> <span class="k">else</span> <span class="n">vec</span> <span class="k">for</span> <span class="p">[</span><span class="n">vec</span><span class="p">,</span><span class="n">mod</span><span class="p">,</span><span class="n">Q</span><span class="p">]</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">Vec</span><span class="p">,</span><span class="n">modSymb</span><span class="p">,</span><span class="n">modQ</span><span class="p">)],</span>  \
+        <span class="p">[</span><span class="bp">True</span> <span class="k">if</span> <span class="n">mod</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;a&#39;</span><span class="p">,</span><span class="s">&#39;b&#39;</span><span class="p">,</span><span class="s">&#39;g&#39;</span><span class="p">]</span> <span class="k">else</span> <span class="bp">False</span> <span class="k">for</span> <span class="n">mod</span> <span class="ow">in</span> <span class="n">modSymb</span><span class="p">]</span>
+</div>
+<div class="viewcode-block" id="SSMT2text"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SSMT2text">[docs]</a><span class="k">def</span> <span class="nf">SSMT2text</span><span class="p">(</span><span class="n">Opr</span><span class="p">):</span>
+    <span class="s">&quot;From superspace group matrix/translation operator returns text version&quot;</span>
+    <span class="n">XYZS</span> <span class="o">=</span> <span class="p">(</span><span class="s">&#39;x&#39;</span><span class="p">,</span><span class="s">&#39;y&#39;</span><span class="p">,</span><span class="s">&#39;z&#39;</span><span class="p">,</span><span class="s">&#39;t&#39;</span><span class="p">)</span>    <span class="c">#Stokes, Campbell &amp; van Smaalen notation</span>
+    <span class="n">TRA</span> <span class="o">=</span> <span class="p">(</span><span class="s">&#39;   &#39;</span><span class="p">,</span><span class="s">&#39;ERR&#39;</span><span class="p">,</span><span class="s">&#39;1/6&#39;</span><span class="p">,</span><span class="s">&#39;1/4&#39;</span><span class="p">,</span><span class="s">&#39;1/3&#39;</span><span class="p">,</span><span class="s">&#39;ERR&#39;</span><span class="p">,</span><span class="s">&#39;1/2&#39;</span><span class="p">,</span><span class="s">&#39;ERR&#39;</span><span class="p">,</span><span class="s">&#39;2/3&#39;</span><span class="p">,</span><span class="s">&#39;3/4&#39;</span><span class="p">,</span><span class="s">&#39;5/6&#39;</span><span class="p">,</span><span class="s">&#39;ERR&#39;</span><span class="p">)</span>
+    <span class="n">Fld</span> <span class="o">=</span> <span class="s">&#39;&#39;</span>
+    <span class="n">M</span><span class="p">,</span><span class="n">T</span> <span class="o">=</span> <span class="n">Opr</span>
+    <span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">4</span><span class="p">):</span>
+        <span class="n">IJ</span> <span class="o">=</span> <span class="s">&#39;&#39;</span>
+        <span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">4</span><span class="p">):</span>
+            <span class="n">txt</span> <span class="o">=</span> <span class="nb">str</span><span class="p">(</span><span class="nb">int</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">M</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">k</span><span class="p">])))</span>
+            <span class="n">txt</span> <span class="o">=</span> <span class="n">txt</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39;1&#39;</span><span class="p">,</span><span class="n">XYZS</span><span class="p">[</span><span class="n">k</span><span class="p">])</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39;0&#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">)</span>
+            <span class="k">if</span> <span class="s">&#39;2&#39;</span> <span class="ow">in</span> <span class="n">txt</span><span class="p">:</span>
+                <span class="n">txt</span> <span class="o">+=</span> <span class="n">XYZS</span><span class="p">[</span><span class="n">k</span><span class="p">]</span>
+            <span class="k">if</span> <span class="n">IJ</span> <span class="ow">and</span> <span class="n">M</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">k</span><span class="p">]</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="n">IJ</span> <span class="o">+=</span> <span class="s">&#39;+&#39;</span><span class="o">+</span><span class="n">txt</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="n">IJ</span> <span class="o">+=</span> <span class="n">txt</span>
+        <span class="n">IK</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">]</span><span class="o">*</span><span class="mi">12</span><span class="p">))</span><span class="o">%</span><span class="mi">12</span>
+        <span class="k">if</span> <span class="n">IK</span><span class="p">:</span>
+            <span class="k">if</span> <span class="ow">not</span> <span class="n">IJ</span><span class="p">:</span>
+                <span class="k">break</span>
+            <span class="k">if</span> <span class="n">IJ</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;-&#39;</span><span class="p">:</span>
+                <span class="n">Fld</span> <span class="o">+=</span> <span class="p">(</span><span class="n">TRA</span><span class="p">[</span><span class="n">IK</span><span class="p">]</span><span class="o">+</span><span class="n">IJ</span><span class="p">)</span><span class="o">.</span><span class="n">rjust</span><span class="p">(</span><span class="mi">8</span><span class="p">)</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="n">Fld</span> <span class="o">+=</span> <span class="p">(</span><span class="n">TRA</span><span class="p">[</span><span class="n">IK</span><span class="p">]</span><span class="o">+</span><span class="s">&#39;+&#39;</span><span class="o">+</span><span class="n">IJ</span><span class="p">)</span><span class="o">.</span><span class="n">rjust</span><span class="p">(</span><span class="mi">8</span><span class="p">)</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="n">Fld</span> <span class="o">+=</span> <span class="n">IJ</span><span class="o">.</span><span class="n">rjust</span><span class="p">(</span><span class="mi">8</span><span class="p">)</span>
+        <span class="k">if</span> <span class="n">j</span> <span class="o">!=</span> <span class="mi">3</span><span class="p">:</span> <span class="n">Fld</span> <span class="o">+=</span> <span class="s">&#39;, &#39;</span>
+    <span class="k">return</span> <span class="n">Fld</span>
+    </div>
+<div class="viewcode-block" id="SSLatt2text"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SSLatt2text">[docs]</a><span class="k">def</span> <span class="nf">SSLatt2text</span><span class="p">(</span><span class="n">SSGCen</span><span class="p">):</span>
+    <span class="s">&quot;Lattice centering vectors to text&quot;</span>
+    <span class="n">lattTxt</span> <span class="o">=</span> <span class="s">&#39;&#39;</span>
+    <span class="k">for</span> <span class="n">vec</span> <span class="ow">in</span> <span class="n">SSGCen</span><span class="p">:</span>
+        <span class="n">lattTxt</span> <span class="o">+=</span> <span class="s">&#39; &#39;</span>
+        <span class="k">for</span> <span class="n">item</span> <span class="ow">in</span> <span class="n">vec</span><span class="p">:</span>
+            <span class="k">if</span> <span class="nb">int</span><span class="p">(</span><span class="n">item</span><span class="o">*</span><span class="mf">12.</span><span class="p">):</span>
+                <span class="n">lattTxt</span> <span class="o">+=</span> <span class="s">&#39;1/</span><span class="si">%d</span><span class="s">,&#39;</span><span class="o">%</span><span class="p">(</span><span class="mi">12</span><span class="o">/</span><span class="nb">int</span><span class="p">(</span><span class="n">item</span><span class="o">*</span><span class="mi">12</span><span class="p">))</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="n">lattTxt</span> <span class="o">+=</span> <span class="s">&#39;0,&#39;</span>
+        <span class="n">lattTxt</span> <span class="o">=</span> <span class="n">lattTxt</span><span class="o">.</span><span class="n">rstrip</span><span class="p">(</span><span class="s">&#39;,&#39;</span><span class="p">)</span>
+        <span class="n">lattTxt</span> <span class="o">+=</span> <span class="s">&#39;;&#39;</span>
+    <span class="n">lattTxt</span> <span class="o">=</span> <span class="n">lattTxt</span><span class="o">.</span><span class="n">rstrip</span><span class="p">(</span><span class="s">&#39;;&#39;</span><span class="p">)</span><span class="o">.</span><span class="n">lstrip</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">)</span>
+    <span class="k">return</span> <span class="n">lattTxt</span>
+        </div>
+<div class="viewcode-block" id="SSpaceGroup"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SSpaceGroup">[docs]</a><span class="k">def</span> <span class="nf">SSpaceGroup</span><span class="p">(</span><span class="n">SGSymbol</span><span class="p">,</span><span class="n">SSymbol</span><span class="p">):</span>
+    <span class="sd">&#39;&#39;&#39;</span>
+<span class="sd">    Print the output of SSpcGroup in a nicely formatted way. </span>
+
+<span class="sd">    :param SGSymbol: space group symbol with spaces between axial fields.</span>
+<span class="sd">    :param SSymbol: superspace group symbol extension (string).</span>
+<span class="sd">    :returns: nothing</span>
+<span class="sd">    &#39;&#39;&#39;</span>
+
+    <span class="n">E</span><span class="p">,</span><span class="n">A</span> <span class="o">=</span> <span class="n">SpcGroup</span><span class="p">(</span><span class="n">SGSymbol</span><span class="p">)</span>
+    <span class="k">if</span> <span class="n">E</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
+        <span class="k">print</span> <span class="n">SGErrors</span><span class="p">(</span><span class="n">E</span><span class="p">)</span>
+        <span class="k">return</span>
+    <span class="n">E</span><span class="p">,</span><span class="n">B</span> <span class="o">=</span> <span class="n">SSpcGroup</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">SSymbol</span><span class="p">)</span>    
+    <span class="k">if</span> <span class="n">E</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
+        <span class="k">print</span> <span class="n">E</span>
+        <span class="k">return</span>
+    <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="n">SSGPrint</span><span class="p">(</span><span class="n">B</span><span class="p">):</span>
+        <span class="k">print</span> <span class="n">l</span>
+        </div>
+<div class="viewcode-block" id="SGProd"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.SGProd">[docs]</a><span class="k">def</span> <span class="nf">SGProd</span><span class="p">(</span><span class="n">OpA</span><span class="p">,</span><span class="n">OpB</span><span class="p">):</span>
+    <span class="sd">&#39;&#39;&#39;</span>
+<span class="sd">    Form space group operator product. OpA &amp; OpB are [M,V] pairs; </span>
+<span class="sd">        both must be of same dimension (3 or 4). Returns [M,V] pair</span>
+<span class="sd">    &#39;&#39;&#39;</span>
+    <span class="n">A</span><span class="p">,</span><span class="n">U</span> <span class="o">=</span> <span class="n">OpA</span>
+    <span class="n">B</span><span class="p">,</span><span class="n">V</span> <span class="o">=</span> <span class="n">OpB</span>
+    <span class="n">M</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">inner</span><span class="p">(</span><span class="n">B</span><span class="p">,</span><span class="n">A</span><span class="o">.</span><span class="n">T</span><span class="p">)</span>
+    <span class="n">W</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">inner</span><span class="p">(</span><span class="n">B</span><span class="p">,</span><span class="n">U</span><span class="p">)</span><span class="o">+</span><span class="n">V</span>
+    <span class="k">return</span> <span class="n">M</span><span class="p">,</span><span class="n">W</span>
+        </div>
 <div class="viewcode-block" id="MoveToUnitCell"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.MoveToUnitCell">[docs]</a><span class="k">def</span> <span class="nf">MoveToUnitCell</span><span class="p">(</span><span class="n">xyz</span><span class="p">):</span>
     <span class="sd">&#39;&#39;&#39;</span>
@@ -442 +1197 @@
 <span class="sd">    Uses old GSAS Fortran routine genhkl.for</span>
 
-<span class="sd">    :param HKL:  [h,k,l]</span>
+<span class="sd">    :param HKL:  [h,k,l] must be integral values for genhkl.for to work</span>
 <span class="sd">    :param SGData: space group data obtained from SpcGroup</span>
 <span class="sd">    :returns: iabsnt,mulp,Uniq,phi</span>
@@ -449 +1204 @@
 <span class="sd">     *   mulp = reflection multiplicity including Friedel pairs</span>
 <span class="sd">     *   Uniq = numpy array of equivalent hkl in descending order of h,k,l</span>
+<span class="sd">     *   phi = phase offset for each equivalent h,k,l</span>
 
 <span class="sd">    &#39;&#39;&#39;</span>
-    <span class="n">hklf</span> <span class="o">=</span> <span class="n">HKL</span><span class="o">+</span><span class="p">[</span><span class="mi">0</span><span class="p">,]</span>
+    <span class="n">hklf</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">HKL</span><span class="p">)</span><span class="o">+</span><span class="p">[</span><span class="mi">0</span><span class="p">,]</span>       <span class="c">#could be numpy array!</span>
     <span class="n">Ops</span> <span class="o">=</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGOps&#39;</span><span class="p">]</span>
     <span class="n">OpM</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">op</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">op</span> <span class="ow">in</span> <span class="n">Ops</span><span class="p">])</span>
@@ -464 +1220 @@
     
     <span class="k">return</span> <span class="n">iabsnt</span><span class="p">,</span><span class="n">mulp</span><span class="p">,</span><span class="n">Uniq</span><span class="p">,</span><span class="n">phi</span>
-                                  </div>
+    </div>
+<span class="k">def</span> <span class="nf">checkSSLaue</span><span class="p">(</span><span class="n">HKL</span><span class="p">,</span><span class="n">SGData</span><span class="p">,</span><span class="n">SSGData</span><span class="p">):</span>
+    <span class="c">#Laue check here - Toss HKL if outside unique Laue part</span>
+    <span class="n">h</span><span class="p">,</span><span class="n">k</span><span class="p">,</span><span class="n">l</span><span class="p">,</span><span class="n">m</span> <span class="o">=</span> <span class="n">HKL</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;2/m&#39;</span><span class="p">:</span>
+        <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;a&#39;</span><span class="p">:</span>
+            <span class="k">if</span> <span class="s">&#39;a&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">h</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">elif</span> <span class="s">&#39;b&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">k</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">l</span> <span class="o">==</span><span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;b&#39;</span><span class="p">:</span>
+            <span class="k">if</span> <span class="s">&#39;b&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">k</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">elif</span> <span class="s">&#39;a&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">h</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">l</span> <span class="o">==</span><span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;c&#39;</span><span class="p">:</span>
+            <span class="k">if</span> <span class="s">&#39;g&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">l</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">elif</span> <span class="s">&#39;a&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">and</span> <span class="n">h</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">k</span> <span class="o">==</span><span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">True</span>
+    <span class="k">elif</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="s">&#39;mmm&#39;</span><span class="p">:</span>
+        <span class="k">if</span> <span class="s">&#39;a&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+            <span class="k">if</span> <span class="n">h</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">elif</span> <span class="s">&#39;b&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+            <span class="k">if</span> <span class="n">k</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">True</span>
+        <span class="k">elif</span> <span class="s">&#39;g&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]:</span>
+            <span class="k">if</span> <span class="n">l</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">True</span>
+    <span class="k">else</span><span class="p">:</span>   <span class="c">#tetragonal, trigonal, hexagonal (&amp; triclinic?)</span>
+        <span class="k">if</span> <span class="n">l</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">m</span> <span class="o">&lt;</span> <span class="mi">0</span><span class="p">:</span>
+            <span class="k">return</span> <span class="bp">False</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="bp">True</span>
+        
+    
+<span class="k">def</span> <span class="nf">checkSSextc</span><span class="p">(</span><span class="n">HKL</span><span class="p">,</span><span class="n">SSGData</span><span class="p">):</span>
+    <span class="n">Ops</span> <span class="o">=</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGOps&#39;</span><span class="p">]</span>
+    <span class="n">OpM</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">op</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">op</span> <span class="ow">in</span> <span class="n">Ops</span><span class="p">])</span>
+    <span class="n">OpT</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">op</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="k">for</span> <span class="n">op</span> <span class="ow">in</span> <span class="n">Ops</span><span class="p">])</span>
+    <span class="n">HKLS</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">HKL</span><span class="p">,</span><span class="o">-</span><span class="n">HKL</span><span class="p">])</span>     <span class="c">#Freidel&#39;s Law</span>
+    <span class="n">DHKL</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">inner</span><span class="p">(</span><span class="n">HKLS</span><span class="p">,</span><span class="n">OpM</span><span class="p">)</span><span class="o">-</span><span class="n">HKL</span><span class="p">,(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">4</span><span class="p">))</span>
+    <span class="n">PHKL</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">inner</span><span class="p">(</span><span class="n">HKLS</span><span class="p">,</span><span class="n">OpT</span><span class="p">),(</span><span class="o">-</span><span class="mi">1</span><span class="p">,))</span>
+    <span class="k">for</span> <span class="n">dhkl</span><span class="p">,</span><span class="n">phkl</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">DHKL</span><span class="p">,</span><span class="n">PHKL</span><span class="p">)[</span><span class="mi">1</span><span class="p">:]:</span>    <span class="c">#skip identity</span>
+        <span class="k">if</span> <span class="n">dhkl</span><span class="o">.</span><span class="n">any</span><span class="p">():</span>
+            <span class="k">continue</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">if</span> <span class="n">phkl</span><span class="o">%</span><span class="mf">1.</span><span class="p">:</span>
+                <span class="k">return</span> <span class="bp">False</span>
+    <span class="k">return</span> <span class="bp">True</span>
+                                  
 <div class="viewcode-block" id="GetOprPtrName"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.GetOprPtrName">[docs]</a><span class="k">def</span> <span class="nf">GetOprPtrName</span><span class="p">(</span><span class="n">key</span><span class="p">):</span>
     <span class="s">&#39;Needs a doc string&#39;</span>
@@ -538 +1357 @@
     <span class="k">return</span> <span class="n">KNsym</span><span class="p">[</span><span class="n">key</span><span class="p">]</span>        
 </div>
-<div class="viewcode-block" id="GetNXUPQsym"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.GetNXUPQsym">[docs]</a><span class="k">def</span> <span class="nf">GetNXUPQsym</span><span class="p">(</span><span class="n">siteSym</span><span class="p">):</span>        
-    <span class="s">&#39;Needs a doc string&#39;</span>
+<div class="viewcode-block" id="GetNXUPQsym"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.GetNXUPQsym">[docs]</a><span class="k">def</span> <span class="nf">GetNXUPQsym</span><span class="p">(</span><span class="n">siteSym</span><span class="p">):</span>
+    <span class="sd">&#39;&#39;&#39;        </span>
+<span class="sd">    The codes XUPQ are for lookup of symmetry constraints for position(X), thermal parm(U) &amp; magnetic moments </span>
+<span class="sd">    (P&amp;Q-not used in GSAS-II)</span>
+<span class="sd">    &#39;&#39;&#39;</span>
     <span class="n">NXUPQsym</span> <span class="o">=</span> <span class="p">{</span>
         <span class="s">&#39;    1   &#39;</span><span class="p">:(</span><span class="mi">28</span><span class="p">,</span><span class="mi">29</span><span class="p">,</span><span class="mi">28</span><span class="p">,</span><span class="mi">28</span><span class="p">),</span><span class="s">&#39;   -1   &#39;</span><span class="p">:(</span> <span class="mi">1</span><span class="p">,</span><span class="mi">29</span><span class="p">,</span><span class="mi">28</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span><span class="s">&#39;    2(x)&#39;</span><span class="p">:(</span><span class="mi">12</span><span class="p">,</span><span class="mi">18</span><span class="p">,</span><span class="mi">12</span><span class="p">,</span><span class="mi">25</span><span class="p">),</span><span class="s">&#39;    m(x)&#39;</span><span class="p">:(</span><span class="mi">25</span><span class="p">,</span><span class="mi">18</span><span class="p">,</span><span class="mi">12</span><span class="p">,</span><span class="mi">25</span><span class="p">),</span>
@@ -653 +1475 @@
     <span class="k">return</span> <span class="n">CSuinel</span><span class="p">[</span><span class="n">indx</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span>
     </div>
+<span class="k">def</span> <span class="nf">GetSSfxuinel</span><span class="p">(</span><span class="n">waveType</span><span class="p">,</span><span class="n">nH</span><span class="p">,</span><span class="n">XYZ</span><span class="p">,</span><span class="n">SGData</span><span class="p">,</span><span class="n">SSGData</span><span class="p">,</span><span class="n">debug</span><span class="o">=</span><span class="bp">False</span><span class="p">):</span>
+    
+    <span class="k">def</span> <span class="nf">orderParms</span><span class="p">(</span><span class="n">CSI</span><span class="p">):</span>
+        <span class="n">parms</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,]</span>
+        <span class="k">for</span> <span class="n">csi</span> <span class="ow">in</span> <span class="n">CSI</span><span class="p">:</span>
+            <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">]:</span>
+                <span class="k">if</span> <span class="n">csi</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">parms</span><span class="p">:</span>
+                    <span class="n">parms</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">csi</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
+        <span class="k">for</span> <span class="n">csi</span> <span class="ow">in</span> <span class="n">CSI</span><span class="p">:</span>
+            <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">]:</span>
+                <span class="n">csi</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">parms</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">csi</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
+        <span class="k">return</span> <span class="n">CSI</span>
+    
+    <span class="k">def</span> <span class="nf">fracCrenel</span><span class="p">(</span><span class="n">tau</span><span class="p">,</span><span class="n">Toff</span><span class="p">,</span><span class="n">Twid</span><span class="p">):</span>
+        <span class="n">Tau</span> <span class="o">=</span> <span class="p">(</span><span class="n">tau</span><span class="o">-</span><span class="n">Toff</span><span class="p">)</span><span class="o">%</span><span class="mf">1.</span>
+        <span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">where</span><span class="p">(</span><span class="n">Tau</span><span class="o">&lt;</span><span class="n">Twid</span><span class="p">,</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">)</span>
+        <span class="k">return</span> <span class="n">A</span>
+        
+    <span class="k">def</span> <span class="nf">fracFourier</span><span class="p">(</span><span class="n">tau</span><span class="p">,</span><span class="n">nH</span><span class="p">,</span><span class="n">fsin</span><span class="p">,</span><span class="n">fcos</span><span class="p">):</span>
+        <span class="n">SA</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mf">2.</span><span class="o">*</span><span class="n">nH</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">*</span><span class="n">tau</span><span class="p">)</span>
+        <span class="n">CB</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="mf">2.</span><span class="o">*</span><span class="n">nH</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">*</span><span class="n">tau</span><span class="p">)</span>
+        <span class="n">A</span> <span class="o">=</span> <span class="n">SA</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,:]</span><span class="o">*</span><span class="n">fsin</span><span class="p">[:,:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">]</span>
+        <span class="n">B</span> <span class="o">=</span> <span class="n">CB</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,:]</span><span class="o">*</span><span class="n">fcos</span><span class="p">[:,:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">]</span>
+        <span class="k">return</span> <span class="n">A</span><span class="o">+</span><span class="n">B</span>
+        
+    <span class="k">def</span> <span class="nf">posFourier</span><span class="p">(</span><span class="n">tau</span><span class="p">,</span><span class="n">nH</span><span class="p">,</span><span class="n">psin</span><span class="p">,</span><span class="n">pcos</span><span class="p">):</span>
+        <span class="n">SA</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">nH</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">*</span><span class="n">tau</span><span class="p">)</span>
+        <span class="n">CB</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">nH</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">*</span><span class="n">tau</span><span class="p">)</span>
+        <span class="n">A</span> <span class="o">=</span> <span class="n">SA</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,:]</span><span class="o">*</span><span class="n">psin</span><span class="p">[:,:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">]</span>
+        <span class="n">B</span> <span class="o">=</span> <span class="n">CB</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,:]</span><span class="o">*</span><span class="n">pcos</span><span class="p">[:,:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">]</span>
+        <span class="k">return</span> <span class="n">A</span><span class="o">+</span><span class="n">B</span>    
+
+    <span class="k">def</span> <span class="nf">posSawtooth</span><span class="p">(</span><span class="n">tau</span><span class="p">,</span><span class="n">Toff</span><span class="p">,</span><span class="n">slopes</span><span class="p">):</span>
+        <span class="n">Tau</span> <span class="o">=</span> <span class="p">(</span><span class="n">tau</span><span class="o">-</span><span class="n">Toff</span><span class="p">[:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">])</span><span class="o">%</span><span class="mf">1.</span>
+        <span class="n">A</span> <span class="o">=</span> <span class="n">slopes</span><span class="p">[:,:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">]</span><span class="o">*</span><span class="n">Tau</span>
+        <span class="k">return</span> <span class="n">A</span>
+    
+    <span class="k">def</span> <span class="nf">posZigZag</span><span class="p">(</span><span class="n">tau</span><span class="p">,</span><span class="n">Toff</span><span class="p">,</span><span class="n">slopes</span><span class="p">):</span>
+        <span class="n">Tau</span> <span class="o">=</span> <span class="p">(</span><span class="n">tau</span><span class="o">-</span><span class="n">Toff</span><span class="p">[:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">])</span><span class="o">%</span><span class="mf">1.</span>
+        <span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">where</span><span class="p">(</span><span class="n">Tau</span> <span class="o">&lt;=</span> <span class="mf">0.5</span><span class="p">,</span><span class="n">slopes</span><span class="p">[:,:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">]</span><span class="o">*</span><span class="n">Tau</span><span class="p">,</span><span class="n">slopes</span><span class="p">[:,:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">]</span><span class="o">*</span><span class="p">(</span><span class="mf">1.</span><span class="o">-</span><span class="n">Tau</span><span class="p">))</span>
+        <span class="k">return</span> <span class="n">A</span>
+        
+    <span class="k">print</span> <span class="s">&#39;super space group: &#39;</span><span class="p">,</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSpGrp&#39;</span><span class="p">]</span>
+    <span class="n">CSI</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;Sfrac&#39;</span><span class="p">:[[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">]],[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]],</span>
+        <span class="s">&#39;Spos&#39;</span><span class="p">:[[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">5</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">6</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]],</span>
+            <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]],</span>    <span class="c">#sin &amp; cos</span>
+        <span class="s">&#39;Sadp&#39;</span><span class="p">:[[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">4</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">5</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">6</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> 
+            <span class="p">[</span><span class="mi">7</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">8</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">9</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">10</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">11</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">12</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]],</span>
+            <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],</span>
+            <span class="p">[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]],</span>
+        <span class="s">&#39;Smag&#39;</span><span class="p">:[[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">5</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">6</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]],</span>
+            <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]],}</span>
+    <span class="n">xyz</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">XYZ</span><span class="p">)</span><span class="o">%</span><span class="mf">1.</span>
+    <span class="n">xyzt</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">XYZ</span><span class="o">+</span><span class="p">[</span><span class="mi">0</span><span class="p">,])</span><span class="o">%</span><span class="mf">1.</span>
+    <span class="n">SGOps</span> <span class="o">=</span> <span class="n">copy</span><span class="o">.</span><span class="n">deepcopy</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGOps&#39;</span><span class="p">])</span>
+    <span class="n">siteSym</span> <span class="o">=</span> <span class="n">SytSym</span><span class="p">(</span><span class="n">XYZ</span><span class="p">,</span><span class="n">SGData</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">strip</span><span class="p">()</span>
+    <span class="k">print</span> <span class="s">&#39;siteSym: &#39;</span><span class="p">,</span><span class="n">siteSym</span>
+    <span class="k">if</span> <span class="n">siteSym</span> <span class="o">==</span> <span class="s">&#39;1&#39;</span><span class="p">:</span>   <span class="c">#&quot;1&quot; site symmetry</span>
+        <span class="k">if</span> <span class="n">debug</span><span class="p">:</span>
+            <span class="k">return</span> <span class="n">CSI</span><span class="p">,</span><span class="bp">None</span><span class="p">,</span><span class="bp">None</span><span class="p">,</span><span class="bp">None</span><span class="p">,</span><span class="bp">None</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="n">CSI</span>
+    <span class="k">elif</span> <span class="n">siteSym</span> <span class="o">==</span> <span class="s">&#39;-1&#39;</span><span class="p">:</span>   <span class="c">#&quot;-1&quot; site symmetry</span>
+        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sfrac&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> 
+        <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">4</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">5</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">6</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+        <span class="k">if</span> <span class="n">debug</span><span class="p">:</span>
+            <span class="k">return</span> <span class="n">CSI</span><span class="p">,</span><span class="bp">None</span><span class="p">,</span><span class="bp">None</span><span class="p">,</span><span class="bp">None</span><span class="p">,</span><span class="bp">None</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">return</span> <span class="n">CSI</span>
+    <span class="n">SSGOps</span> <span class="o">=</span> <span class="n">copy</span><span class="o">.</span><span class="n">deepcopy</span><span class="p">(</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGOps&#39;</span><span class="p">])</span>
+    <span class="c">#expand ops to include inversions if any</span>
+    <span class="k">if</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGInv&#39;</span><span class="p">]:</span>
+        <span class="k">for</span> <span class="n">op</span><span class="p">,</span><span class="n">sop</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGOps&#39;</span><span class="p">],</span><span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;SSGOps&#39;</span><span class="p">]):</span>
+            <span class="n">SGOps</span><span class="o">.</span><span class="n">append</span><span class="p">([</span><span class="o">-</span><span class="n">op</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="o">-</span><span class="n">op</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">%</span><span class="mf">1.</span><span class="p">])</span>
+            <span class="n">SSGOps</span><span class="o">.</span><span class="n">append</span><span class="p">([</span><span class="o">-</span><span class="n">sop</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="o">-</span><span class="n">sop</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">%</span><span class="mf">1.</span><span class="p">])</span>
+    <span class="c">#build set of sym ops around special poasition        </span>
+    <span class="n">SSop</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="n">Sop</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="n">Sdtau</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="k">for</span> <span class="n">iop</span><span class="p">,</span><span class="n">Op</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">SGOps</span><span class="p">):</span>         
+        <span class="n">nxyz</span> <span class="o">=</span> <span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">inner</span><span class="p">(</span><span class="n">Op</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">xyz</span><span class="p">)</span><span class="o">+</span><span class="n">Op</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span><span class="o">%</span><span class="mf">1.</span>
+        <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">xyz</span><span class="p">,</span><span class="n">nxyz</span><span class="p">,</span><span class="mf">1.e-4</span><span class="p">)</span> <span class="ow">and</span> <span class="n">iop</span> <span class="ow">and</span> <span class="n">MT2text</span><span class="p">(</span><span class="n">Op</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">)</span> <span class="o">!=</span> <span class="s">&#39;-X,-Y,-Z&#39;</span><span class="p">:</span>
+            <span class="n">SSop</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">[</span><span class="n">iop</span><span class="p">])</span>
+            <span class="n">Sop</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">SGOps</span><span class="p">[</span><span class="n">iop</span><span class="p">])</span>
+            <span class="n">ssopinv</span> <span class="o">=</span> <span class="n">nl</span><span class="o">.</span><span class="n">inv</span><span class="p">(</span><span class="n">SSGOps</span><span class="p">[</span><span class="n">iop</span><span class="p">][</span><span class="mi">0</span><span class="p">])</span>
+            <span class="n">mst</span> <span class="o">=</span> <span class="n">ssopinv</span><span class="p">[</span><span class="mi">3</span><span class="p">][:</span><span class="mi">3</span><span class="p">]</span>
+            <span class="n">epsinv</span> <span class="o">=</span> <span class="n">ssopinv</span><span class="p">[</span><span class="mi">3</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span>
+            <span class="n">Sdtau</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">mst</span><span class="o">*</span><span class="p">(</span><span class="n">XYZ</span><span class="o">-</span><span class="n">SGOps</span><span class="p">[</span><span class="n">iop</span><span class="p">][</span><span class="mi">1</span><span class="p">])</span><span class="o">-</span><span class="n">epsinv</span><span class="o">*</span><span class="n">SSGOps</span><span class="p">[</span><span class="n">iop</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]))</span>
+    <span class="n">SdIndx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">argsort</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">Sdtau</span><span class="p">))</span>     <span class="c"># just to do in sensible order</span>
+    <span class="n">OpText</span> <span class="o">=</span>  <span class="p">[</span><span class="n">MT2text</span><span class="p">(</span><span class="n">s</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">)</span> <span class="k">for</span> <span class="n">s</span> <span class="ow">in</span> <span class="n">Sop</span><span class="p">]</span>         <span class="c">#debug?</span>
+    <span class="n">SSOpText</span> <span class="o">=</span> <span class="p">[</span><span class="n">SSMT2text</span><span class="p">(</span><span class="n">ss</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">)</span> <span class="k">for</span> <span class="n">ss</span> <span class="ow">in</span> <span class="n">SSop</span><span class="p">]</span>   <span class="c">#debug?</span>
+    <span class="k">print</span> <span class="s">&#39;special pos super operators: &#39;</span><span class="p">,</span><span class="n">SSOpText</span>
+    <span class="c">#setup displacement arrays</span>
+    <span class="n">tau</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">49</span><span class="p">,</span><span class="bp">True</span><span class="p">)</span>
+    <span class="n">delt2</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">eye</span><span class="p">(</span><span class="mi">2</span><span class="p">)</span><span class="o">*</span><span class="mf">0.001</span>
+    <span class="n">delt4</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">eye</span><span class="p">(</span><span class="mi">4</span><span class="p">)</span><span class="o">*</span><span class="mf">0.001</span>
+    <span class="n">delt6</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">eye</span><span class="p">(</span><span class="mi">6</span><span class="p">)</span><span class="o">*</span><span class="mf">0.001</span>
+    <span class="n">delt12</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">eye</span><span class="p">(</span><span class="mi">12</span><span class="p">)</span><span class="o">*</span><span class="mf">0.0001</span>
+    <span class="c">#make modulation arrays - one parameter at a time</span>
+    <span class="c">#site fractions</span>
+    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sfrac&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="mi">2</span><span class="p">),</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">),</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">2</span><span class="p">)]</span>
+    <span class="k">if</span> <span class="s">&#39;Crenel&#39;</span> <span class="ow">in</span> <span class="n">waveType</span><span class="p">:</span>
+        <span class="n">dF</span> <span class="o">=</span> <span class="n">fracCrenel</span><span class="p">(</span><span class="n">tau</span><span class="p">,</span><span class="n">delt2</span><span class="p">[:</span><span class="mi">1</span><span class="p">],</span><span class="n">delt2</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span><span class="o">.</span><span class="n">squeeze</span><span class="p">()</span>
+    <span class="k">else</span><span class="p">:</span>
+        <span class="n">dF</span> <span class="o">=</span> <span class="n">fracFourier</span><span class="p">(</span><span class="n">tau</span><span class="p">,</span><span class="n">nH</span><span class="p">,</span><span class="n">delt2</span><span class="p">[:</span><span class="mi">1</span><span class="p">],</span><span class="n">delt2</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span><span class="o">.</span><span class="n">squeeze</span><span class="p">()</span>
+    <span class="n">dFT</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros_like</span><span class="p">(</span><span class="n">dF</span><span class="p">)</span>
+    <span class="c">#positions        </span>
+    <span class="k">if</span> <span class="s">&#39;Fourier&#39;</span> <span class="ow">in</span> <span class="n">waveType</span><span class="p">:</span>
+        <span class="n">dX</span> <span class="o">=</span> <span class="n">posFourier</span><span class="p">(</span><span class="n">tau</span><span class="p">,</span><span class="n">nH</span><span class="p">,</span><span class="n">delt6</span><span class="p">[:</span><span class="mi">3</span><span class="p">],</span><span class="n">delt6</span><span class="p">[</span><span class="mi">3</span><span class="p">:])</span> <span class="c">#+np.array(XYZ)[:,np.newaxis,np.newaxis]</span>
+          <span class="c">#3x6x12 modulated position array (X,Spos,tau)&amp; force positive</span>
+        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="mi">6</span><span class="p">,</span><span class="mi">3</span><span class="p">),</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">),</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="mi">6</span><span class="p">,</span><span class="mi">3</span><span class="p">))]</span>
+    <span class="k">elif</span> <span class="n">waveType</span> <span class="o">==</span> <span class="s">&#39;Sawtooth&#39;</span><span class="p">:</span>
+        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="mi">1</span><span class="p">,],[</span><span class="mi">2</span><span class="p">,],[</span><span class="mi">3</span><span class="p">,],[</span><span class="mi">4</span><span class="p">,]]),</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">,],[</span><span class="mf">1.0</span><span class="p">,],[</span><span class="mf">1.0</span><span class="p">,],[</span><span class="mf">1.0</span><span class="p">,]])]</span>
+    <span class="k">elif</span> <span class="n">waveType</span> <span class="o">==</span> <span class="s">&#39;ZigZag&#39;</span><span class="p">:</span>
+        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="mi">1</span><span class="p">,],[</span><span class="mi">2</span><span class="p">,],[</span><span class="mi">3</span><span class="p">,],[</span><span class="mi">4</span><span class="p">,]]),</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">,],[</span><span class="mf">1.0</span><span class="p">,],[</span><span class="mf">1.0</span><span class="p">,],[</span><span class="mf">1.0</span><span class="p">,]])]</span>
+    <span class="c">#anisotropic thermal motion</span>
+    <span class="n">dU</span> <span class="o">=</span> <span class="n">posFourier</span><span class="p">(</span><span class="n">tau</span><span class="p">,</span><span class="n">nH</span><span class="p">,</span><span class="n">delt12</span><span class="p">[:</span><span class="mi">6</span><span class="p">],</span><span class="n">delt12</span><span class="p">[</span><span class="mi">6</span><span class="p">:])</span>                  <span class="c">#Uij modulations - 6x12x12 array</span>
+    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="mi">12</span><span class="p">,</span><span class="mi">3</span><span class="p">),</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">),</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="mi">12</span><span class="p">,</span><span class="mi">3</span><span class="p">))]</span>
+        
+    <span class="n">FSC</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">)</span>
+    <span class="n">VFSC</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">2</span><span class="p">)</span>
+    <span class="n">XSC</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">)</span>
+    <span class="n">USC</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">12</span><span class="p">,</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">)</span>
+    <span class="n">dFTP</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="n">dXTP</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="n">dUTP</span> <span class="o">=</span> <span class="p">[]</span>
+    <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">SdIndx</span><span class="p">:</span>
+        <span class="n">sop</span> <span class="o">=</span> <span class="n">Sop</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+        <span class="n">ssop</span> <span class="o">=</span> <span class="n">SSop</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
+        <span class="n">fsc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">)</span>
+        <span class="n">xsc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">)</span>
+        <span class="n">ssopinv</span> <span class="o">=</span> <span class="n">nl</span><span class="o">.</span><span class="n">inv</span><span class="p">(</span><span class="n">ssop</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
+        <span class="n">mst</span> <span class="o">=</span> <span class="n">ssopinv</span><span class="p">[</span><span class="mi">3</span><span class="p">][:</span><span class="mi">3</span><span class="p">]</span>
+        <span class="n">epsinv</span> <span class="o">=</span> <span class="n">ssopinv</span><span class="p">[</span><span class="mi">3</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span>
+        <span class="n">sdet</span> <span class="o">=</span> <span class="n">nl</span><span class="o">.</span><span class="n">det</span><span class="p">(</span><span class="n">sop</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
+        <span class="n">ssdet</span> <span class="o">=</span> <span class="n">nl</span><span class="o">.</span><span class="n">det</span><span class="p">(</span><span class="n">ssop</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
+        <span class="n">dtau</span> <span class="o">=</span> <span class="n">mst</span><span class="o">*</span><span class="p">(</span><span class="n">XYZ</span><span class="o">-</span><span class="n">sop</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span><span class="o">-</span><span class="n">epsinv</span><span class="o">*</span><span class="n">ssop</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]</span>
+        <span class="n">dT</span> <span class="o">=</span> <span class="mf">1.0</span>
+        <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">any</span><span class="p">(</span><span class="n">dtau</span><span class="o">%.</span><span class="mi">5</span><span class="p">):</span>
+            <span class="n">dT</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">tan</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">dtau</span><span class="o">%.</span><span class="mi">5</span><span class="p">))</span>
+        <span class="n">tauT</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">inner</span><span class="p">(</span><span class="n">mst</span><span class="p">,</span><span class="n">XYZ</span><span class="o">-</span><span class="n">sop</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span><span class="o">+</span><span class="n">epsinv</span><span class="o">*</span><span class="p">(</span><span class="n">tau</span><span class="o">-</span><span class="n">ssop</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">])</span>
+        <span class="k">if</span> <span class="n">waveType</span> <span class="o">==</span> <span class="s">&#39;Fourier&#39;</span><span class="p">:</span>
+            <span class="n">dXT</span> <span class="o">=</span> <span class="n">posFourier</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sort</span><span class="p">(</span><span class="n">tauT</span><span class="p">),</span><span class="n">nH</span><span class="p">,</span><span class="n">delt6</span><span class="p">[:</span><span class="mi">3</span><span class="p">],</span><span class="n">delt6</span><span class="p">[</span><span class="mi">3</span><span class="p">:])</span>   <span class="c">#+np.array(XYZ)[:,np.newaxis,np.newaxis]</span>
+        <span class="k">elif</span> <span class="n">waveType</span> <span class="o">==</span> <span class="s">&#39;Sawtooth&#39;</span><span class="p">:</span>
+            <span class="n">dXT</span> <span class="o">=</span> <span class="n">posSawtooth</span><span class="p">(</span><span class="n">tauT</span><span class="p">,</span><span class="n">delt4</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">delt4</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span><span class="o">+</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">XYZ</span><span class="p">)[:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">waveType</span> <span class="o">==</span> <span class="s">&#39;ZigZag&#39;</span><span class="p">:</span>
+            <span class="n">dXT</span> <span class="o">=</span> <span class="n">posZigZag</span><span class="p">(</span><span class="n">tauT</span><span class="p">,</span><span class="n">delt4</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">delt4</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span><span class="o">+</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">XYZ</span><span class="p">)[:,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">newaxis</span><span class="p">]</span>            
+        <span class="n">dXT</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">inner</span><span class="p">(</span><span class="n">sop</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">dXT</span><span class="o">.</span><span class="n">T</span><span class="p">)</span>
+        <span class="n">dXT</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">swapaxes</span><span class="p">(</span><span class="n">dXT</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">)</span>
+        <span class="n">dXT</span><span class="p">[:,:</span><span class="mi">3</span><span class="p">,:]</span> <span class="o">*=</span> <span class="n">ssdet</span>
+        <span class="n">dXTP</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">dXT</span><span class="p">)</span>
+        <span class="k">if</span> <span class="n">waveType</span> <span class="o">==</span> <span class="s">&#39;Fourier&#39;</span><span class="p">:</span>
+            <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">any</span><span class="p">(</span><span class="n">dtau</span><span class="o">%.</span><span class="mi">5</span><span class="p">)</span> <span class="ow">and</span> <span class="p">(</span><span class="s">&#39;1/2&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">or</span> <span class="s">&#39;1&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]):</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]],</span>
+                    <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]]</span>                    
+                <span class="k">if</span> <span class="s">&#39;(x)&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+                    <span class="k">if</span> <span class="s">&#39;m&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span> <span class="ow">and</span> <span class="nb">len</span><span class="p">(</span><span class="n">SdIndx</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+                <span class="k">elif</span> <span class="s">&#39;(y)&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+                    <span class="k">if</span> <span class="s">&#39;m&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span> <span class="ow">and</span> <span class="nb">len</span><span class="p">(</span><span class="n">SdIndx</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+                <span class="k">elif</span> <span class="s">&#39;(z)&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+                    <span class="k">if</span> <span class="s">&#39;m&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span> <span class="ow">and</span> <span class="nb">len</span><span class="p">(</span><span class="n">SdIndx</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+                <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
+                    <span class="k">if</span> <span class="ow">not</span> <span class="n">XSC</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="n">i</span><span class="o">+</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="n">i</span><span class="o">+</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+            <span class="k">elif</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">dX</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,:],</span><span class="n">dXT</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,:]</span><span class="o">*</span><span class="n">sdet</span><span class="p">):</span>
+                <span class="k">if</span> <span class="s">&#39;xy&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span> <span class="ow">or</span> <span class="s">&#39;+-0&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">3</span><span class="p">:</span><span class="mi">5</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mi">12</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">12</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">:</span><span class="mi">5</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="o">-</span><span class="n">sdet</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+                    <span class="n">xsc</span><span class="p">[</span><span class="mi">3</span><span class="p">:</span><span class="mi">5</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
+                    <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">dX</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">i</span><span class="p">,:],</span><span class="n">dXT</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">i</span><span class="p">,:]</span><span class="o">*</span><span class="n">sdet</span><span class="p">):</span>
+                        <span class="n">xsc</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                    <span class="k">else</span><span class="p">:</span>
+                        <span class="n">xsc</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+                    <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">dX</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">i</span><span class="o">+</span><span class="mi">3</span><span class="p">,:],</span><span class="n">dXT</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">i</span><span class="o">+</span><span class="mi">3</span><span class="p">,:]):</span>
+                        <span class="n">xsc</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                    <span class="k">else</span><span class="p">:</span>
+                        <span class="n">xsc</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+            <span class="n">XSC</span> <span class="o">&amp;=</span> <span class="n">xsc</span>
+            
+        <span class="n">fsc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">)</span>
+        <span class="k">if</span> <span class="s">&#39;Crenel&#39;</span> <span class="ow">in</span> <span class="n">waveType</span><span class="p">:</span>
+            <span class="n">dFT</span> <span class="o">=</span> <span class="n">fracCrenel</span><span class="p">(</span><span class="n">tauT</span><span class="p">,</span><span class="n">delt2</span><span class="p">[:</span><span class="mi">1</span><span class="p">],</span><span class="n">delt2</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span><span class="o">.</span><span class="n">squeeze</span><span class="p">()</span>
+            <span class="n">fsc</span> <span class="o">=</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="n">dFT</span> <span class="o">=</span> <span class="n">fracFourier</span><span class="p">(</span><span class="n">tauT</span><span class="p">,</span><span class="n">nH</span><span class="p">,</span><span class="n">delt2</span><span class="p">[:</span><span class="mi">1</span><span class="p">],</span><span class="n">delt2</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span><span class="o">.</span><span class="n">squeeze</span><span class="p">()</span>
+            <span class="n">dFT</span> <span class="o">=</span> <span class="n">nl</span><span class="o">.</span><span class="n">det</span><span class="p">(</span><span class="n">sop</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span><span class="o">*</span><span class="n">dFT</span>
+            <span class="n">dFT</span> <span class="o">=</span> <span class="n">dFT</span><span class="p">[:,</span><span class="n">np</span><span class="o">.</span><span class="n">argsort</span><span class="p">(</span><span class="n">tauT</span><span class="p">)]</span>
+            <span class="n">dFT</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">*=</span> <span class="n">ssdet</span>
+            <span class="n">dFT</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">*=</span> <span class="n">sdet</span>
+            <span class="n">dFTP</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">dFT</span><span class="p">)</span>
+        
+            <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">any</span><span class="p">(</span><span class="n">dtau</span><span class="o">%.</span><span class="mi">5</span><span class="p">)</span> <span class="ow">and</span> <span class="p">(</span><span class="s">&#39;1/2&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">or</span> <span class="s">&#39;1&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]):</span>
+                <span class="n">fsc</span> <span class="o">=</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sfrac&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">]],[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mi">1</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]]</span>
+                <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">):</span>
+                    <span class="k">if</span> <span class="ow">not</span> <span class="n">FSC</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sfrac&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sfrac&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">):</span>
+                    <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">dF</span><span class="p">[</span><span class="n">i</span><span class="p">,:],</span><span class="n">dFT</span><span class="p">[</span><span class="n">i</span><span class="p">,:],</span><span class="n">atol</span><span class="o">=</span><span class="mf">1.e-6</span><span class="p">):</span>
+                        <span class="n">fsc</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                    <span class="k">else</span><span class="p">:</span>
+                        <span class="n">fsc</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+        <span class="n">FSC</span> <span class="o">&amp;=</span> <span class="n">fsc</span>
+            
+        <span class="n">usc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">12</span><span class="p">,</span><span class="n">dtype</span><span class="o">=</span><span class="s">&#39;i&#39;</span><span class="p">)</span>
+        <span class="n">dUT</span> <span class="o">=</span> <span class="n">posFourier</span><span class="p">(</span><span class="n">tauT</span><span class="p">,</span><span class="n">nH</span><span class="p">,</span><span class="n">delt12</span><span class="p">[:</span><span class="mi">6</span><span class="p">],</span><span class="n">delt12</span><span class="p">[</span><span class="mi">6</span><span class="p">:])</span>                  <span class="c">#Uij modulations - 6x12x49 array</span>
+        <span class="n">dUijT</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">rollaxis</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">rollaxis</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">Uij2U</span><span class="p">(</span><span class="n">dUT</span><span class="p">)),</span><span class="mi">3</span><span class="p">),</span><span class="mi">3</span><span class="p">)</span>    <span class="c">#convert dUT to 12x49x3x3 </span>
+        <span class="n">dUijT</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">rollaxis</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">inner</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">inner</span><span class="p">(</span><span class="n">sop</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">dUijT</span><span class="p">),</span><span class="n">sop</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">T</span><span class="p">),</span><span class="mi">3</span><span class="p">)</span>
+        <span class="n">dUT</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">U2Uij</span><span class="p">(</span><span class="n">dUijT</span><span class="p">))</span>
+        <span class="n">dUT</span> <span class="o">=</span> <span class="n">dUT</span><span class="p">[:,:,</span><span class="n">np</span><span class="o">.</span><span class="n">argsort</span><span class="p">(</span><span class="n">tauT</span><span class="p">)]</span>
+        <span class="n">dUTP</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">dUT</span><span class="p">)</span>
+        <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">any</span><span class="p">(</span><span class="n">dtau</span><span class="o">%.</span><span class="mi">5</span><span class="p">)</span> <span class="ow">and</span> <span class="p">(</span><span class="s">&#39;1/2&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]</span> <span class="ow">or</span> <span class="s">&#39;1&#39;</span> <span class="ow">in</span> <span class="n">SSGData</span><span class="p">[</span><span class="s">&#39;modSymb&#39;</span><span class="p">]):</span>
+            <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">4</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">5</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">6</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> 
+            <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">2</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">4</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">5</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">6</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]],</span>
+            <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],</span>
+            <span class="p">[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]]</span>
+            <span class="k">if</span> <span class="s">&#39;(x)&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">9</span><span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+            <span class="k">elif</span> <span class="s">&#39;(y)&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">9</span><span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+            <span class="k">elif</span> <span class="s">&#39;(z)&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">9</span><span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">1.</span><span class="o">/</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="n">dT</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+            <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">6</span><span class="p">):</span>
+                <span class="k">if</span> <span class="ow">not</span> <span class="n">USC</span><span class="p">[</span><span class="n">i</span><span class="p">]:</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="n">i</span><span class="o">+</span><span class="mi">6</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="n">i</span><span class="o">+</span><span class="mi">6</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]</span>
+        <span class="k">else</span><span class="p">:</span>
+                        
+            <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">6</span><span class="p">):</span>
+                <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">dU</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">i</span><span class="p">,:],</span><span class="n">dUT</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">i</span><span class="p">,:]</span><span class="o">*</span><span class="n">sdet</span><span class="p">):</span>
+                    <span class="n">usc</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                <span class="k">else</span><span class="p">:</span>
+                    <span class="n">usc</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+                <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">dU</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">i</span><span class="o">+</span><span class="mi">6</span><span class="p">,:],</span><span class="n">dUT</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">i</span><span class="o">+</span><span class="mi">6</span><span class="p">,:]):</span>
+                    <span class="n">usc</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">6</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                <span class="k">else</span><span class="p">:</span>
+                    <span class="n">usc</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">6</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+            <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">any</span><span class="p">(</span><span class="n">dUT</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,:]):</span>
+                <span class="k">if</span> <span class="s">&#39;4/m&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">6</span><span class="p">:</span><span class="mi">8</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mi">12</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">12</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+                    <span class="k">if</span> <span class="n">ssop</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]:</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">6</span><span class="p">:</span><span class="mi">8</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]</span>
+                        <span class="n">usc</span><span class="p">[</span><span class="mi">9</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                    <span class="k">else</span><span class="p">:</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">6</span><span class="p">:</span><span class="mi">8</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]</span>
+                        <span class="n">usc</span><span class="p">[</span><span class="mi">9</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+                <span class="k">elif</span> <span class="s">&#39;4&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">6</span><span class="p">:</span><span class="mi">8</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mi">12</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">12</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][:</span><span class="mi">2</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mi">11</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">11</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+                    <span class="k">if</span> <span class="n">ssop</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">3</span><span class="p">]:</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][:</span><span class="mi">2</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">6</span><span class="p">:</span><span class="mi">8</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="o">-</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]</span>
+                        <span class="n">usc</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                        <span class="n">usc</span><span class="p">[</span><span class="mi">9</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
+                    <span class="k">else</span><span class="p">:</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][:</span><span class="mi">2</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">6</span><span class="p">:</span><span class="mi">8</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]</span>
+                        <span class="n">usc</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>                
+                        <span class="n">usc</span><span class="p">[</span><span class="mi">9</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+                <span class="k">elif</span> <span class="s">&#39;xy&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span> <span class="ow">or</span> <span class="s">&#39;+-0&#39;</span> <span class="ow">in</span> <span class="n">siteSym</span><span class="p">:</span>
+                    <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">dU</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,:],</span><span class="n">dUT</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,:]</span><span class="o">*</span><span class="n">sdet</span><span class="p">):</span>
+                        <span class="k">print</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">dU</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,:],</span><span class="n">dUT</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,:]</span><span class="o">*</span><span class="n">sdet</span><span class="p">),</span><span class="n">sdet</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">4</span><span class="p">:</span><span class="mi">6</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mi">12</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">12</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="mi">6</span><span class="p">:</span><span class="mi">8</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mi">11</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],[</span><span class="mi">11</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">4</span><span class="p">:</span><span class="mi">6</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="n">sdet</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]</span>
+                        <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">6</span><span class="p">:</span><span class="mi">8</span><span class="p">]</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">1.</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">],[</span><span class="n">sdet</span><span class="p">,</span><span class="mf">0.</span><span class="p">,</span><span class="mf">0.</span><span class="p">]]</span>
+                        <span class="n">usc</span><span class="p">[</span><span class="mi">4</span><span class="p">:</span><span class="mi">6</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+                        <span class="n">usc</span><span class="p">[</span><span class="mi">6</span><span class="p">:</span><span class="mi">8</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+                    
+            <span class="k">print</span> <span class="n">SSMT2text</span><span class="p">(</span><span class="n">ssop</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">,</span><span class="s">&#39;&#39;</span><span class="p">),</span><span class="n">sdet</span><span class="p">,</span><span class="n">ssdet</span><span class="p">,</span><span class="n">epsinv</span><span class="p">,</span><span class="n">usc</span>
+        <span class="n">USC</span> <span class="o">&amp;=</span> <span class="n">usc</span>
+    <span class="k">if</span> <span class="ow">not</span> <span class="n">np</span><span class="o">.</span><span class="n">any</span><span class="p">(</span><span class="n">dtau</span><span class="o">%.</span><span class="mi">5</span><span class="p">):</span>
+        <span class="n">n</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span>
+        <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">U</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">USC</span><span class="p">):</span>
+            <span class="k">if</span> <span class="n">U</span><span class="p">:</span>
+                <span class="n">n</span> <span class="o">+=</span> <span class="mi">1</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="n">i</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">n</span><span class="o">+</span><span class="mi">1</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="n">i</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="mf">1.0</span>
+        <span class="k">if</span> <span class="n">waveType</span> <span class="o">==</span> <span class="s">&#39;Fourier&#39;</span><span class="p">:</span>
+            <span class="n">n</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span>
+            <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">X</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">XSC</span><span class="p">):</span>
+                <span class="k">if</span> <span class="n">X</span><span class="p">:</span>
+                    <span class="n">n</span> <span class="o">+=</span> <span class="mi">1</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="n">i</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">n</span><span class="o">+</span><span class="mi">1</span>
+                    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="n">i</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="mf">1.0</span>
+        <span class="n">n</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span>
+        <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">F</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">FSC</span><span class="p">):</span>
+            <span class="k">if</span> <span class="n">F</span><span class="p">:</span>
+                <span class="n">n</span> <span class="o">+=</span> <span class="mi">1</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sfrac&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">n</span><span class="o">+</span><span class="mi">1</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sfrac&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mf">1.0</span>
+            <span class="k">else</span><span class="p">:</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sfrac&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
+                <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sfrac&#39;</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mf">0.</span>
+    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">orderParms</span><span class="p">(</span><span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Spos&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">])</span>
+    <span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">orderParms</span><span class="p">(</span><span class="n">CSI</span><span class="p">[</span><span class="s">&#39;Sadp&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">])</span>            
+    <span class="k">if</span> <span class="n">debug</span><span class="p">:</span>
+        <span class="k">return</span> <span class="n">CSI</span><span class="p">,[</span><span class="n">tau</span><span class="p">,</span><span class="n">tauT</span><span class="p">],[</span><span class="n">dF</span><span class="p">,</span><span class="n">dFTP</span><span class="p">],[</span><span class="n">dX</span><span class="p">,</span><span class="n">dXTP</span><span class="p">],[</span><span class="n">dU</span><span class="p">,</span><span class="n">dUTP</span><span class="p">]</span>
+    <span class="k">else</span><span class="p">:</span>
+        <span class="k">return</span> <span class="n">CSI</span>
+    
 <div class="viewcode-block" id="MustrainNames"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.MustrainNames">[docs]</a><span class="k">def</span> <span class="nf">MustrainNames</span><span class="p">(</span><span class="n">SGData</span><span class="p">):</span>
     <span class="s">&#39;Needs a doc string&#39;</span>
@@ -683 +1823 @@
         <span class="n">SHKL</span> <span class="o">+=</span> <span class="p">[</span><span class="s">&#39;S211&#39;</span><span class="p">,</span><span class="s">&#39;S121&#39;</span><span class="p">,</span><span class="s">&#39;S112&#39;</span><span class="p">]</span>
         <span class="k">return</span> <span class="n">SHKL</span>
-</div>
+        </div>
+<span class="k">def</span> <span class="nf">HStrainVals</span><span class="p">(</span><span class="n">HSvals</span><span class="p">,</span><span class="n">SGData</span><span class="p">):</span>
+    <span class="n">laue</span> <span class="o">=</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGLaue&#39;</span><span class="p">]</span>
+    <span class="n">uniq</span> <span class="o">=</span> <span class="n">SGData</span><span class="p">[</span><span class="s">&#39;SGUniq&#39;</span><span class="p">]</span>
+    <span class="n">DIJ</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="mi">6</span><span class="p">)</span>
+    <span class="k">if</span> <span class="n">laue</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;m3&#39;</span><span class="p">,</span><span class="s">&#39;m3m&#39;</span><span class="p">]:</span>
+        <span class="n">DIJ</span><span class="p">[:</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span>
+    <span class="k">elif</span> <span class="n">laue</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;6/m&#39;</span><span class="p">,</span><span class="s">&#39;6/mmm&#39;</span><span class="p">,</span><span class="s">&#39;3m1&#39;</span><span class="p">,</span><span class="s">&#39;31m&#39;</span><span class="p">,</span><span class="s">&#39;3&#39;</span><span class="p">]:</span>
+        <span class="n">DIJ</span><span class="p">[:</span><span class="mi">4</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span>
+    <span class="k">elif</span> <span class="n">laue</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;3R&#39;</span><span class="p">,</span><span class="s">&#39;3mR&#39;</span><span class="p">]:</span>
+        <span class="n">DIJ</span> <span class="o">=</span> <span class="p">[</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span>
+    <span class="k">elif</span> <span class="n">laue</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;4/m&#39;</span><span class="p">,</span><span class="s">&#39;4/mmm&#39;</span><span class="p">]:</span>
+        <span class="n">DIJ</span><span class="p">[:</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span>
+    <span class="k">elif</span> <span class="n">laue</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;mmm&#39;</span><span class="p">]:</span>
+        <span class="n">DIJ</span><span class="p">[:</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">2</span><span class="p">]]</span>
+    <span class="k">elif</span> <span class="n">laue</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&#39;2/m&#39;</span><span class="p">]:</span>
+        <span class="n">DIJ</span><span class="p">[:</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">2</span><span class="p">]]</span>
+        <span class="k">if</span> <span class="n">uniq</span> <span class="o">==</span> <span class="s">&#39;a&#39;</span><span class="p">:</span>
+            <span class="n">DIJ</span><span class="p">[</span><span class="mi">5</span><span class="p">]</span> <span class="o">=</span> <span class="n">HSvals</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">uniq</span> <span class="o">==</span> <span class="s">&#39;b&#39;</span><span class="p">:</span>
+            <span class="n">DIJ</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span> <span class="o">=</span> <span class="n">HSvals</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span>
+        <span class="k">elif</span> <span class="n">uniq</span> <span class="o">==</span> <span class="s">&#39;c&#39;</span><span class="p">:</span>
+            <span class="n">DIJ</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="n">HSvals</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span>
+    <span class="k">else</span><span class="p">:</span>
+        <span class="n">DIJ</span> <span class="o">=</span> <span class="p">[</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">2</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">3</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">4</span><span class="p">],</span><span class="n">HSvals</span><span class="p">[</span><span class="mi">5</span><span class="p">]]</span>
+    <span class="k">return</span> <span class="n">DIJ</span>
+
 <div class="viewcode-block" id="HStrainNames"><a class="viewcode-back" href="../GSASIIutil.html#GSASIIspc.HStrainNames">[docs]</a><span class="k">def</span> <span class="nf">HStrainNames</span><span class="p">(</span><span class="n">SGData</span><span class="p">):</span>
     <span class="s">&#39;Needs a doc string&#39;</span>
@@ -917 +2083 @@
                 <span class="k">print</span> <span class="n">M2</span>
                 <span class="n">X</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
-                
-            
-            
         <span class="k">else</span><span class="p">:</span>               <span class="c">#rotations</span>
             <span class="k">print</span> <span class="s">&#39;rotation&#39;</span><span class="p">,</span><span class="n">Es</span>
@@ -1021 +2184 @@
         <span class="n">rspc</span> <span class="o">=</span> <span class="n">rspc</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
         <span class="n">rhomb</span> <span class="o">=</span> <span class="s">&#39; R&#39;</span>
-    <span class="k">if</span> <span class="n">rspc</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">:]</span> <span class="o">==</span> <span class="s">&#39;H&#39;</span><span class="p">:</span> <span class="c"># hexagonal is assumed and thus can be ignored</span>
+    <span class="k">elif</span> <span class="n">rspc</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">:]</span> <span class="o">==</span> <span class="s">&#39;H&#39;</span><span class="p">:</span> <span class="c"># hexagonal is assumed and thus can be ignored</span>
         <span class="n">rspc</span> <span class="o">=</span> <span class="n">rspc</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
     <span class="c"># look for a match in the spacegroup lists</span>
@@ -1036 +2199 @@
 
     </div>
+<span class="n">spglist</span> <span class="o">=</span> <span class="p">{}</span>
 <span class="sd">&#39;&#39;&#39;A dictionary of space groups as ordered and named in the pre-2002 International </span>
 <span class="sd">Tables Volume A, except that spaces are used following the GSAS convention to </span>
@@ -1049 +2213 @@
         <span class="s">&#39;C 2/m&#39;</span><span class="p">,</span><span class="s">&#39;C 2/c&#39;</span><span class="p">,</span><span class="s">&#39;C 2/n&#39;</span><span class="p">,),</span>
     <span class="s">&#39;Pmmm&#39;</span><span class="p">:(</span><span class="s">&#39;P 2 2 2&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P 2 2 21&#39;</span><span class="p">,</span><span class="s">&#39;P 2 21 2&#39;</span><span class="p">,</span><span class="s">&#39;P 21 2 2&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P 21 21 2&#39;</span><span class="p">,</span><span class="s">&#39;P 21 2 21&#39;</span><span class="p">,</span><span class="s">&#39;P 2 21 21&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P 2 2 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 2 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 21 2&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P 21 21 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 21 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 2 21&#39;</span><span class="p">,</span>
         <span class="s">&#39;P 21 21 21&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P m m 2&#39;</span><span class="p">,</span><span class="s">&#39;P m 2 m&#39;</span><span class="p">,</span><span class="s">&#39;P 2 m m&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P m c 21&#39;</span><span class="p">,</span><span class="s">&#39;P c m 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 m a&#39;</span><span class="p">,</span><span class="s">&#39;P 21 a m&#39;</span><span class="p">,</span><span class="s">&#39;P b 21 m&#39;</span><span class="p">,</span><span class="s">&#39;P m 21 b&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P m m 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 m m&#39;</span><span class="p">,</span><span class="s">&#39;P m 2 m&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P m c 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 m a&#39;</span><span class="p">,</span><span class="s">&#39;P b 21 m&#39;</span><span class="p">,</span><span class="s">&#39;P m 21 b&#39;</span><span class="p">,</span><span class="s">&#39;P c m 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 a m&#39;</span><span class="p">,</span>
         <span class="s">&#39;P c c 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 a a&#39;</span><span class="p">,</span><span class="s">&#39;P b 2 b&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P m a 2&#39;</span><span class="p">,</span><span class="s">&#39;P b m 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 m b&#39;</span><span class="p">,</span><span class="s">&#39;P 2 c m&#39;</span><span class="p">,</span><span class="s">&#39;P c 2 m&#39;</span><span class="p">,</span><span class="s">&#39;P m 2 a&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P c a 21&#39;</span><span class="p">,</span><span class="s">&#39;P b c 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 a b&#39;</span><span class="p">,</span><span class="s">&#39;P 21 c a&#39;</span><span class="p">,</span><span class="s">&#39;P c 21 b&#39;</span><span class="p">,</span><span class="s">&#39;P b 21 a&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P n c 2&#39;</span><span class="p">,</span><span class="s">&#39;P c n 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 n a&#39;</span><span class="p">,</span><span class="s">&#39;P 2 a n&#39;</span><span class="p">,</span><span class="s">&#39;P b 2 n&#39;</span><span class="p">,</span><span class="s">&#39;P n 2 b&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P m n 21&#39;</span><span class="p">,</span><span class="s">&#39;P n m 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 m n&#39;</span><span class="p">,</span><span class="s">&#39;P 21 n m&#39;</span><span class="p">,</span><span class="s">&#39;P n 21 m&#39;</span><span class="p">,</span><span class="s">&#39;P m 21 n&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P m a 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 m b&#39;</span><span class="p">,</span><span class="s">&#39;P c 2 m&#39;</span><span class="p">,</span><span class="s">&#39;P m 2 a&#39;</span><span class="p">,</span><span class="s">&#39;P b m 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 c m&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P c a 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 a b&#39;</span><span class="p">,</span><span class="s">&#39;P c 21 b&#39;</span><span class="p">,</span><span class="s">&#39;P b 21 a&#39;</span><span class="p">,</span><span class="s">&#39;P b c 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 c a&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P n c 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 n a&#39;</span><span class="p">,</span><span class="s">&#39;P b 2 n&#39;</span><span class="p">,</span><span class="s">&#39;P n 2 b&#39;</span><span class="p">,</span><span class="s">&#39;P c n 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 a n&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P m n 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 m n&#39;</span><span class="p">,</span><span class="s">&#39;P n 21 m&#39;</span><span class="p">,</span><span class="s">&#39;P m 21 n&#39;</span><span class="p">,</span><span class="s">&#39;P n m 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 n m&#39;</span><span class="p">,</span>
         <span class="s">&#39;P b a 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 c b&#39;</span><span class="p">,</span><span class="s">&#39;P c 2 a&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P n a 21&#39;</span><span class="p">,</span><span class="s">&#39;P b n 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 n b&#39;</span><span class="p">,</span><span class="s">&#39;P 21 c n&#39;</span><span class="p">,</span><span class="s">&#39;P c 21 n&#39;</span><span class="p">,</span><span class="s">&#39;P n 21 a&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P n a 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 n b&#39;</span><span class="p">,</span><span class="s">&#39;P c 21 n&#39;</span><span class="p">,</span><span class="s">&#39;P n 21 a&#39;</span><span class="p">,</span><span class="s">&#39;P b n 21&#39;</span><span class="p">,</span><span class="s">&#39;P 21 c n&#39;</span><span class="p">,</span>
         <span class="s">&#39;P n n 2&#39;</span><span class="p">,</span><span class="s">&#39;P 2 n n&#39;</span><span class="p">,</span><span class="s">&#39;P n 2 n&#39;</span><span class="p">,</span>
         <span class="s">&#39;P m m m&#39;</span><span class="p">,</span><span class="s">&#39;P n n n&#39;</span><span class="p">,</span>
         <span class="s">&#39;P c c m&#39;</span><span class="p">,</span><span class="s">&#39;P m a a&#39;</span><span class="p">,</span><span class="s">&#39;P b m b&#39;</span><span class="p">,</span>
         <span class="s">&#39;P b a n&#39;</span><span class="p">,</span><span class="s">&#39;P n c b&#39;</span><span class="p">,</span><span class="s">&#39;P c n a&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P m m a&#39;</span><span class="p">,</span><span class="s">&#39;P m m b&#39;</span><span class="p">,</span><span class="s">&#39;P b m m&#39;</span><span class="p">,</span><span class="s">&#39;P c m m&#39;</span><span class="p">,</span><span class="s">&#39;P m c m&#39;</span><span class="p">,</span><span class="s">&#39;P m a m&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P n n a&#39;</span><span class="p">,</span><span class="s">&#39;P n n b&#39;</span><span class="p">,</span><span class="s">&#39;P b n n&#39;</span><span class="p">,</span><span class="s">&#39;P c n n&#39;</span><span class="p">,</span><span class="s">&#39;P n c n&#39;</span><span class="p">,</span><span class="s">&#39;P n a n&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P m n a&#39;</span><span class="p">,</span><span class="s">&#39;P n m b&#39;</span><span class="p">,</span><span class="s">&#39;P b m n&#39;</span><span class="p">,</span><span class="s">&#39;P c n m&#39;</span><span class="p">,</span><span class="s">&#39;P n c m&#39;</span><span class="p">,</span><span class="s">&#39;P m a n&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P c c a&#39;</span><span class="p">,</span><span class="s">&#39;P c c b&#39;</span><span class="p">,</span><span class="s">&#39;P b a a&#39;</span><span class="p">,</span><span class="s">&#39;P c a a&#39;</span><span class="p">,</span><span class="s">&#39;P b c b&#39;</span><span class="p">,</span><span class="s">&#39;P b a b&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P m m a&#39;</span><span class="p">,</span><span class="s">&#39;P b m m&#39;</span><span class="p">,</span><span class="s">&#39;P m c m&#39;</span><span class="p">,</span><span class="s">&#39;P m a m&#39;</span><span class="p">,</span><span class="s">&#39;P m m b&#39;</span><span class="p">,</span><span class="s">&#39;P c m m&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P n n a&#39;</span><span class="p">,</span><span class="s">&#39;P b n n&#39;</span><span class="p">,</span><span class="s">&#39;P n c n&#39;</span><span class="p">,</span><span class="s">&#39;P n a n&#39;</span><span class="p">,</span><span class="s">&#39;P n n b&#39;</span><span class="p">,</span><span class="s">&#39;P c n n&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P m n a&#39;</span><span class="p">,</span><span class="s">&#39;P b m n&#39;</span><span class="p">,</span><span class="s">&#39;P n c m&#39;</span><span class="p">,</span><span class="s">&#39;P m a n&#39;</span><span class="p">,</span><span class="s">&#39;P n m b&#39;</span><span class="p">,</span><span class="s">&#39;P c n m&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P c c a&#39;</span><span class="p">,</span><span class="s">&#39;P b a a&#39;</span><span class="p">,</span><span class="s">&#39;P b c b&#39;</span><span class="p">,</span><span class="s">&#39;P b a b&#39;</span><span class="p">,</span><span class="s">&#39;P c c b&#39;</span><span class="p">,</span><span class="s">&#39;P c a a&#39;</span><span class="p">,</span>
         <span class="s">&#39;P b a m&#39;</span><span class="p">,</span><span class="s">&#39;P m c b&#39;</span><span class="p">,</span><span class="s">&#39;P c m a&#39;</span><span class="p">,</span>
         <span class="s">&#39;P c c n&#39;</span><span class="p">,</span><span class="s">&#39;P n a a&#39;</span><span class="p">,</span><span class="s">&#39;P b n b&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P b c m&#39;</span><span class="p">,</span><span class="s">&#39;P c a m&#39;</span><span class="p">,</span><span class="s">&#39;P m c a&#39;</span><span class="p">,</span><span class="s">&#39;P m a b&#39;</span><span class="p">,</span><span class="s">&#39;P b m a&#39;</span><span class="p">,</span><span class="s">&#39;P c m b&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P b c m&#39;</span><span class="p">,</span><span class="s">&#39;P m c a&#39;</span><span class="p">,</span><span class="s">&#39;P b m a&#39;</span><span class="p">,</span><span class="s">&#39;P c m b&#39;</span><span class="p">,</span><span class="s">&#39;P c a m&#39;</span><span class="p">,</span><span class="s">&#39;P m a b&#39;</span><span class="p">,</span>
         <span class="s">&#39;P n n m&#39;</span><span class="p">,</span><span class="s">&#39;P m n n&#39;</span><span class="p">,</span><span class="s">&#39;P n m n&#39;</span><span class="p">,</span>
         <span class="s">&#39;P m m n&#39;</span><span class="p">,</span><span class="s">&#39;P n m m&#39;</span><span class="p">,</span><span class="s">&#39;P m n m&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P b c n&#39;</span><span class="p">,</span><span class="s">&#39;P c a n&#39;</span><span class="p">,</span><span class="s">&#39;P n c a&#39;</span><span class="p">,</span><span class="s">&#39;P n a b&#39;</span><span class="p">,</span><span class="s">&#39;P b n a&#39;</span><span class="p">,</span><span class="s">&#39;P c n b&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P b c n&#39;</span><span class="p">,</span><span class="s">&#39;P n c a&#39;</span><span class="p">,</span><span class="s">&#39;P b n a&#39;</span><span class="p">,</span><span class="s">&#39;P c n b&#39;</span><span class="p">,</span><span class="s">&#39;P c a n&#39;</span><span class="p">,</span><span class="s">&#39;P n a b&#39;</span><span class="p">,</span>
         <span class="s">&#39;P b c a&#39;</span><span class="p">,</span><span class="s">&#39;P c a b&#39;</span><span class="p">,</span>
-        <span class="s">&#39;P n m a&#39;</span><span class="p">,</span><span class="s">&#39;P m n b&#39;</span><span class="p">,</span><span class="s">&#39;P b n m&#39;</span><span class="p">,</span><span class="s">&#39;P c m n&#39;</span><span class="p">,</span><span class="s">&#39;P m c n&#39;</span><span class="p">,</span><span class="s">&#39;P n a m&#39;</span><span class="p">,</span>
+        <span class="s">&#39;P n m a&#39;</span><span class="p">,</span><span class="s">&#39;P b n m&#39;</span><span class="p">,</span><span class="s">&#39;P m c n&#39;</span><span class="p">,</span><span class="s">&#39;P n a m&#39;</span><span class="p">,</span><span class="s">&#39;P m n b&#39;</span><span class="p">,</span><span class="s">&#39;P c m n&#39;</span><span class="p">,</span>
         <span class="p">),</span>
-    <span class="s">&#39;Cmmm&#39;</span><span class="p">:(</span><span class="s">&#39;C 2 2 21&#39;</span><span class="p">,</span><span class="s">&#39;C 2 2 2&#39;</span><span class="p">,</span><span class="s">&#39;C m m 2&#39;</span><span class="p">,</span><span class="s">&#39;C m c 21&#39;</span><span class="p">,</span><span class="s">&#39;C c c 2&#39;</span><span class="p">,</span><span class="s">&#39;C m 2 m&#39;</span><span class="p">,</span><span class="s">&#39;C 2 m m&#39;</span><span class="p">,</span>
-        <span class="s">&#39;C m 2 a&#39;</span><span class="p">,</span><span class="s">&#39;C 2 m b&#39;</span><span class="p">,</span><span class="s">&#39;C 2 c m&#39;</span><span class="p">,</span><span class="s">&#39;C c 2 m&#39;</span><span class="p">,</span><span class="s">&#39;C 2 c m&#39;</span><span class="p">,</span><span class="s">&#39;C c 2 m&#39;</span><span class="p">,</span> <span class="c"># check: C c 2 m &amp; C c 2 m twice</span>
-        <span class="s">&#39;C m c a&#39;</span><span class="p">,</span><span class="s">&#39;C m m m&#39;</span><span class="p">,</span><span class="s">&#39;C c c m&#39;</span><span class="p">,</span><span class="s">&#39;C m m a&#39;</span><span class="p">,</span><span class="s">&#39;C c c a&#39;</span><span class="p">,</span><span class="s">&#39;C m c m&#39;</span><span class="p">,),</span>
-    <span class="s">&#39;Immm&#39;</span><span class="p">:(</span><span class="s">&#39;I 2 2 2&#39;</span><span class="p">,</span><span class="s">&#39;I 21 21 21&#39;</span><span class="p">,</span><span class="s">&#39;I m m m&#39;</span><span class="p">,</span>
+    <span class="s">&#39;Cmmm&#39;</span><span class="p">:(</span><span class="s">&#39;C 2 2 21&#39;</span><span class="p">,</span><span class="s">&#39;C 2 2 2&#39;</span><span class="p">,</span><span class="s">&#39;C m m 2&#39;</span><span class="p">,</span>
+        <span class="s">&#39;C m c 21&#39;</span><span class="p">,</span><span class="s">&#39;C c m 21&#39;</span><span class="p">,</span><span class="s">&#39;C c c 2&#39;</span><span class="p">,</span><span class="s">&#39;C m 2 m&#39;</span><span class="p">,</span><span class="s">&#39;C 2 m m&#39;</span><span class="p">,</span>
+        <span class="s">&#39;C m 2 a&#39;</span><span class="p">,</span><span class="s">&#39;C 2 m b&#39;</span><span class="p">,</span><span class="s">&#39;C c 2 m&#39;</span><span class="p">,</span><span class="s">&#39;C 2 c m&#39;</span><span class="p">,</span><span class="s">&#39;C c 2 a&#39;</span><span class="p">,</span><span class="s">&#39;C 2 c b&#39;</span><span class="p">,</span>
+        <span class="s">&#39;C m c m&#39;</span><span class="p">,</span><span class="s">&#39;C m c a&#39;</span><span class="p">,</span><span class="s">&#39;C c m b&#39;</span><span class="p">,</span>
+        <span class="s">&#39;C m m m&#39;</span><span class="p">,</span><span class="s">&#39;C c c m&#39;</span><span class="p">,</span><span class="s">&#39;C m m a&#39;</span><span class="p">,</span><span class="s">&#39;C m m b&#39;</span><span class="p">,</span><span class="s">&#39;C c c a&#39;</span><span class="p">,</span><span class="s">&#39;C c c b&#39;</span><span class="p">,),</span>
+    <span class="s">&#39;Immm&#39;</span><span class="p">:(</span><span class="s">&#39;I 2 2 2&#39;</span><span class="p">,</span><span class="s">&#39;I 21 21 21&#39;</span><span class="p">,</span>
         <span class="s">&#39;I m m 2&#39;</span><span class="p">,</span><span class="s">&#39;I m 2 m&#39;</span><span class="p">,</span><span class="s">&#39;I 2 m m&#39;</span><span class="p">,</span>
         <span class="s">&#39;I b a 2&#39;</span><span class="p">,</span><span class="s">&#39;I 2 c b&#39;</span><span class="p">,</span><span class="s">&#39;I c 2 a&#39;</span><span class="p">,</span>
-        <span class="s">&#39;I m a 2&#39;</span><span class="p">,</span><span class="s">&#39;I b m 2&#39;</span><span class="p">,</span><span class="s">&#39;I 2 m b&#39;</span><span class="p">,</span><span class="s">&#39;I 2 c m&#39;</span><span class="p">,</span><span class="s">&#39;I c 2 m&#39;</span><span class="p">,</span><span class="s">&#39;I m 2 a&#39;</span><span class="p">,</span>
-        <span class="s">&#39;I b a m&#39;</span><span class="p">,</span><span class="s">&#39;I m c b&#39;</span><span class="p">,</span><span class="s">&#39;I c m a&#39;</span><span class="p">,</span>
+        <span class="s">&#39;I m a 2&#39;</span><span class="p">,</span><span class="s">&#39;I 2 m b&#39;</span><span class="p">,</span><span class="s">&#39;I c 2 m&#39;</span><span class="p">,</span><span class="s">&#39;I m 2 a&#39;</span><span class="p">,</span><span class="s">&#39;I b m 2&#39;</span><span class="p">,</span><span class="s">&#39;I 2 c m&#39;</span><span class="p">,</span>
+        <span class="s">&#39;I m m m&#39;</span><span class="p">,</span><span class="s">&#39;I b a m&#39;</span><span class="p">,</span><span class="s">&#39;I m c b&#39;</span><span class="p">,</span><span class="s">&#39;I c m a&#39;</span><span class="p">,</span>
         <span class="s">&#39;I b c a&#39;</span><span class="p">,</span><span class="s">&#39;I c a b&#39;</span><span class="p">,</span>
-        <span class="s">&#39;I m m a&#39;</span><span class="p">,</span><span class="s">&#39;I m m b&#39;</span><span class="p">,</span><span class="s">&#39;I b m m &#39;</span><span class="p">,</span><span class="s">&#39;I c m m&#39;</span><span class="p">,</span><span class="s">&#39;I m c m&#39;</span><span class="p">,</span><span class="s">&#39;I m a m&#39;</span><span class="p">,),</span>
+        <span class="s">&#39;I m m a&#39;</span><span class="p">,</span><span class="s">&#39;I b m m &#39;</span><span class="p">,</span><span class="s">&#39;I m c m&#39;</span><span class="p">,</span><span class="s">&#39;I m a m&#39;</span><span class="p">,</span><span class="s">&#39;I m m b&#39;</span><span class="p">,</span><span class="s">&#39;I c m m&#39;</span><span class="p">,),</span>
     <span class="s">&#39;Fmmm&#39;</span><span class="p">:(</span><span class="s">&#39;F 2 2 2&#39;</span><span class="p">,</span><span class="s">&#39;F m m m&#39;</span><span class="p">,</span> <span class="s">&#39;F d d d&#39;</span><span class="p">,</span>
         <span class="s">&#39;F m m 2&#39;</span><span class="p">,</span><span class="s">&#39;F m 2 m&#39;</span><span class="p">,</span><span class="s">&#39;F 2 m m&#39;</span><span class="p">,</span>
@@ -1121 +2287 @@
 <span class="p">}</span>
 
+<span class="n">ssdict</span> <span class="o">=</span> <span class="p">{}</span>
+<span class="sd">&#39;&#39;&#39;A dictionary of superspace group symbols allowed for each entry in spglist</span>
+<span class="sd">(except cubics). Monoclinics are all b-unique setting.</span>
+<span class="sd">&#39;&#39;&#39;</span>
+<span class="n">ssdict</span> <span class="o">=</span> <span class="p">{</span>
+<span class="c">#1,2</span>
+    <span class="s">&#39;P 1&#39;</span><span class="p">:[</span><span class="s">&#39;(abg)&#39;</span><span class="p">,],</span><span class="s">&#39;P -1&#39;</span><span class="p">:[</span><span class="s">&#39;(abg)&#39;</span><span class="p">,],</span>
+<span class="c">#monoclinic - done</span>
+<span class="c">#3</span>
+    <span class="s">&#39;P 2&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#4        </span>
+    <span class="s">&#39;P 21&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#5</span>
+    <span class="s">&#39;C 2&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#6</span>
+    <span class="s">&#39;P m&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#7</span>
+    <span class="s">&#39;P a&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P c&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P n&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#8        </span>
+    <span class="s">&#39;C m&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#9        </span>
+    <span class="s">&#39;C c&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;C n&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,],</span>
+<span class="c">#10        </span>
+    <span class="s">&#39;P 2/m&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)0s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#11</span>
+    <span class="s">&#39;P 21/m&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#12        </span>
+    <span class="s">&#39;C 2/m&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#13</span>
+    <span class="s">&#39;P 2/c&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)0s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 2/a&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)0s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 2/n&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(a0g)0s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#14</span>
+    <span class="s">&#39;P 21/c&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 21/a&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 21/n&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#15</span>
+    <span class="s">&#39;C 2/c&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;C 2/n&#39;</span><span class="p">:[</span><span class="s">&#39;(a0g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0&#39;</span><span class="p">,],</span>
+<span class="c">#orthorhombic</span>
+<span class="c">#16    </span>
+    <span class="s">&#39;P 2 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#17        </span>
+    <span class="s">&#39;P 2 2 21&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 21 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 2 21 2&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,],</span>
+<span class="c">#18        </span>
+    <span class="s">&#39;P 21 21 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 2 21 21&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 21 2 21&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,],</span>
+<span class="c">#19        </span>
+    <span class="s">&#39;P 21 21 21&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,],</span>
+<span class="c">#20        </span>
+    <span class="s">&#39;C 2 2 21&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;A 21 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;B 2 21 2&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,],</span>
+<span class="c">#21        </span>
+    <span class="s">&#39;C 2 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;A 2 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;B 2 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,],</span>
+<span class="c">#22        </span>
+    <span class="s">&#39;F 2 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,],</span>
+<span class="c">#23        </span>
+    <span class="s">&#39;I 2 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#24        </span>
+    <span class="s">&#39;I 21 21 21&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#25        </span>
+    <span class="s">&#39;P m m 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,],</span>        
+    <span class="s">&#39;P 2 m m&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P m 2 m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,],</span>        
+<span class="c">#26        </span>
+    <span class="s">&#39;P m c 21&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 21 m a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P b 21 m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P m 21 b&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P c m 21&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0a0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 21 a m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,],</span>
+<span class="c">#27        </span>
+    <span class="s">&#39;P c c 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 2 a a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P b 2 b&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,],</span>
+<span class="c">#28        </span>
+    <span class="s">&#39;P m a 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P 2 m b&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P c 2 m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)s00&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P m 2 a&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P b m 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P 2 c m&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">],</span>
+<span class="c">#29        </span>
+    <span class="s">&#39;P c a 21&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 21 a b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P c 21 b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b 21 a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b c 21&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P 21 c a&#39;</span><span class="p">:[],</span>
+<span class="c">#30        </span>
+    <span class="s">&#39;P c n 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P 2 a n&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P n 2 b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b 2 n&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P n c 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P 2 n a&#39;</span><span class="p">:[],</span>
+<span class="c">#31        </span>
+    <span class="s">&#39;P m n 21&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P 21 m n&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P n 21 m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P m 21 n&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P n m 21&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P 21 n m&#39;</span><span class="p">:[],</span>
+<span class="c">#32        </span>
+    <span class="s">&#39;P b a 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)qq0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 2 c b&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)0qq&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P c 2 a&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)q0q&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,],</span>
+<span class="c">#33        </span>
+    <span class="s">&#39;P n a 21&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P 21 n b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P c 21 n&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P n 21 a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b n 21&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P 21 c n&#39;</span><span class="p">:[],</span>
+<span class="c">#34        </span>
+    <span class="s">&#39;P n n 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)qq0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)0q0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)00q&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)q00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)00q&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P 2 n n&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)0qq&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)q00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)00q&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2b)0q0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)q00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P n 2 n&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)q0q&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)0q0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)q00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)00q&#39;</span><span class="p">,</span><span class="s">&#39;(b1/21/2)0q0&#39;</span><span class="p">,],</span>
+<span class="c">#35        </span>
+    <span class="s">&#39;C m m 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(10g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(10g)ss0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(01g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(01g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)s00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;A 2 m m&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a10)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a10)ss0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a01)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a01)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;B m 2 m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)ss0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)s00&#39;</span><span class="p">,],</span>
+<span class="c">#36</span>
+    <span class="s">&#39;C m c 21&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;A 21 m a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;B m 21 b&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;B b 21 m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;C c m 21&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;A 21 a m&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#37</span>
+    <span class="s">&#39;C c c 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(10g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(01g)0ss&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;A 2 a a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a10)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a01)ss0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;B b 2 b&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)ss0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,],</span>
+<span class="c">#38</span>
+    <span class="s">&#39;A m m 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B 2 m m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C m 2 m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A m 2 m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B m m 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C 2 m m&#39;</span><span class="p">:[],</span>
+<span class="c">#39</span>
+    <span class="s">&#39;A b m 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B 2 c m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C m 2 a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A c 2 m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B m a 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C 2 m b&#39;</span><span class="p">:[],</span>
+<span class="c">#40        </span>
+    <span class="s">&#39;A m a 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B 2 m b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C c 2 m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A m 2 a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B b m 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C 2 c m&#39;</span><span class="p">:[],</span>
+<span class="c">#41</span>
+    <span class="s">&#39;A b a 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B 2 c b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C c 2 a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A c 2 a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B b a 2&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C 2 c b&#39;</span><span class="p">:[],</span>
+        
+<span class="c">#42        </span>
+    <span class="s">&#39;F m m 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(10g)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(01g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)s00&#39;</span><span class="p">,],</span>        
+    <span class="s">&#39;F 2 m m&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a10)ss0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a01)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;F m 2 m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)0ss&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)00s&#39;</span><span class="p">,],</span>        
+<span class="c">#43        </span>
+    <span class="s">&#39;F d d 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;F 2 d d&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,],</span>        
+    <span class="s">&#39;F d 2 d&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#44</span>
+    <span class="s">&#39;I m m 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;I 2 m m&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;I m 2 m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,],</span>
+<span class="c">#45        </span>
+    <span class="s">&#39;I b a 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;I 2 c b&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;I c 2 a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#46        </span>
+    <span class="s">&#39;I m a 2&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;I 2 m b&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,],</span>        
+    <span class="s">&#39;I c 2 m&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;I m 2 a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;I b m 2&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;I 2 c m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,],</span>
+<span class="c">#47        </span>
+    <span class="s">&#39;P m m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#48 o@i qq0,0qq,q0q -&gt;000</span>
+    <span class="s">&#39;P n n n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,],</span>
+<span class="c">#49        </span>
+    <span class="s">&#39;P c c m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)00s&#39;</span><span class="p">,],</span>        
+    <span class="s">&#39;P m a a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)s00&#39;</span><span class="p">,],</span>        
+    <span class="s">&#39;P b m b&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#50 o@i qq0,0qq,q0q -&gt;000</span>
+    <span class="s">&#39;P b a n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P n c b&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P c n a&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(01/2a)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,],</span>
+<span class="c">#51        </span>
+    <span class="s">&#39;P m m a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b m m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P m c m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P m a m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P m m b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P c m m&#39;</span><span class="p">:[],</span>
+<span class="c">#52   o@i qq0,0qq,q0q -&gt;000     </span>
+    <span class="s">&#39;P n n a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P b n n&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P n c n&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P n a n&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P n n b&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/21/2)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P c n n&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#53        </span>
+    <span class="s">&#39;P m n a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b m n&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P n c m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P m a n&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P n m b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P c n m&#39;</span><span class="p">:[],</span>
+<span class="c">#54        </span>
+    <span class="s">&#39;P c c a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b a a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b c b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b a b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P c c b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P c a a&#39;</span><span class="p">:[],</span>
+<span class="c">#55        </span>
+    <span class="s">&#39;P b a m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P m c b&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P c m a&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)&#39;</span><span class="p">],</span>
+<span class="c">#56        </span>
+    <span class="s">&#39;P c c n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P n a a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P b n b&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">],</span>
+<span class="c">#57        </span>
+    <span class="s">&#39;P b c m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P m c a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P b m a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P c m b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P c a m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;P m a b&#39;</span><span class="p">:[],</span>
+<span class="c">#58        </span>
+    <span class="s">&#39;P n n m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P m n n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P n m n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,],</span>
+<span class="c">#59 o@i</span>
+    <span class="s">&#39;P m m n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a01/2)&#39;</span><span class="p">,</span><span class="s">&#39;(a01/2)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1/2)s00&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;P n m m&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(1/20g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/20g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1/2b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P m n m&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(01/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(01/2g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)&#39;</span><span class="p">,</span><span class="s">&#39;(a1/20)00s&#39;</span><span class="p">],</span>
+<span class="c">#60        </span>
+    <span class="s">&#39;P b c n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P n c a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P b n a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P c n b&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P c a n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P n a b&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+<span class="c">#61        </span>
+    <span class="s">&#39;P b c a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P c a b&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+<span class="c">#62        </span>
+    <span class="s">&#39;P n m a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P b n m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P m c n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P n a m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P m n b&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">],</span>
+    <span class="s">&#39;P c m n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">],</span>
+<span class="c">#63</span>
+    <span class="s">&#39;C m c m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A m m a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B b m m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B m m b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C c m m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A m a m&#39;</span><span class="p">:[],</span>
+<span class="c">#64        </span>
+    <span class="s">&#39;C m c a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,],</span>
+    <span class="s">&#39;A b m a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B b c m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B m a b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C c m b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A c a m&#39;</span><span class="p">:[],</span>
+<span class="c">#65        </span>
+    <span class="s">&#39;C m m m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A m m m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B m m m&#39;</span><span class="p">:[],</span>
+<span class="c">#66        </span>
+    <span class="s">&#39;C c c m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A m m a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B b m b&#39;</span><span class="p">:[],</span>
+<span class="c">#67        </span>
+    <span class="s">&#39;C m m a&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A b m m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B m c m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;B m a m&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;C m m b&#39;</span><span class="p">:[],</span>
+    <span class="s">&#39;A c m m&#39;</span><span class="p">:[],</span>
+<span class="c">#68 o@i</span>
+    <span class="s">&#39;C c c a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(01g)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">],</span>
+    <span class="s">&#39;A b a a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a01)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">],</span>
+    <span class="s">&#39;B b c b&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">],</span>
+    <span class="s">&#39;B b a b&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">],</span>
+    <span class="s">&#39;C c c b&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(10g)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">],</span>
+    <span class="s">&#39;A c a a&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a10)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)0s0&#39;</span><span class="p">],</span>
+<span class="c">#69        </span>
+    <span class="s">&#39;F m m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(10g)&#39;</span><span class="p">,</span><span class="s">&#39;(10g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(10g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a10)&#39;</span><span class="p">,</span><span class="s">&#39;(a10)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a10)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a10)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b1)s0s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(01g)&#39;</span><span class="p">,</span><span class="s">&#39;(01g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(01g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a01)&#39;</span><span class="p">,</span><span class="s">&#39;(a01)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a01)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a01)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1b0)s0s&#39;</span><span class="p">],</span>
+<span class="c">#70 o@i        </span>
+    <span class="s">&#39;F d d d&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">],</span>       
+<span class="c">#71</span>
+    <span class="s">&#39;I m m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)ss0&#39;</span><span class="p">],</span>
+<span class="c">#72        </span>
+    <span class="s">&#39;I b a m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;I m c b&#39;</span><span class="p">:[</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">],</span>
+    <span class="s">&#39;I c m a&#39;</span><span class="p">:[</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">],</span>
+<span class="c">#73        </span>
+    <span class="s">&#39;I b c a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;I c a b&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">],</span>
+<span class="c">#74        </span>
+    <span class="s">&#39;I m m a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;I b m m &#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;I m c m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;I m a m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;I m m b&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">],</span>
+    <span class="s">&#39;I c m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(a00)&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0s0&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(a00)00s&#39;</span><span class="p">,</span><span class="s">&#39;(a00)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s00&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)00s&#39;</span><span class="p">,</span><span class="s">&#39;(0b0)s0s&#39;</span><span class="p">],</span>
+<span class="c">#tetragonal - done</span>
+<span class="c">#75</span>
+    <span class="s">&#39;P 4&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)q&#39;</span><span class="p">,],</span>
+<span class="c">#76</span>
+    <span class="s">&#39;P 41&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#77</span>
+    <span class="s">&#39;P 42&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)q&#39;</span><span class="p">,],</span>
+<span class="c">#78</span>
+    <span class="s">&#39;P 43&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#79</span>
+    <span class="s">&#39;I 4&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s&#39;</span><span class="p">,],</span>
+<span class="c">#80</span>
+    <span class="s">&#39;I 41&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q&#39;</span><span class="p">,],</span>
+<span class="c">#81</span>
+    <span class="s">&#39;P -4&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#82</span>
+    <span class="s">&#39;I -4&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#83</span>
+    <span class="s">&#39;P 4/m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#84</span>
+    <span class="s">&#39;P 42/m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#85 o@i q0 -&gt; 00</span>
+    <span class="s">&#39;P 4/n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span> <span class="c">#q0?</span>
+<span class="c">#86 o@i q0 -&gt; 00</span>
+    <span class="s">&#39;P 42/n&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>      <span class="c">#q0?</span>
+<span class="c">#87</span>
+    <span class="s">&#39;I 4/m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0&#39;</span><span class="p">,],</span>
+<span class="c">#88</span>
+    <span class="s">&#39;I 41/a&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#89</span>
+    <span class="s">&#39;P 4 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)q00&#39;</span><span class="p">,],</span>
+<span class="c">#90</span>
+    <span class="s">&#39;P 4 21 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,],</span>
+<span class="c">#91</span>
+    <span class="s">&#39;P 41 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#92</span>
+    <span class="s">&#39;P 41 21 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#93</span>
+    <span class="s">&#39;P 42 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q00&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)q00&#39;</span><span class="p">,],</span>
+<span class="c">#94</span>
+    <span class="s">&#39;P 42 21 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q00&#39;</span><span class="p">,],</span>
+<span class="c">#95</span>
+    <span class="s">&#39;P 43 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#96</span>
+    <span class="s">&#39;P 43 21 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#97</span>
+    <span class="s">&#39;I 4 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,],</span>
+<span class="c">#98</span>
+    <span class="s">&#39;I 41 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)q00&#39;</span><span class="p">,],</span>
+<span class="c">#99</span>
+    <span class="s">&#39;P 4 m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)0ss&#39;</span><span class="p">],</span>
+<span class="c">#100</span>
+    <span class="s">&#39;P 4 b m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)qq0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)qqs&#39;</span><span class="p">,],</span>
+<span class="c">#101</span>
+    <span class="s">&#39;P 42 c m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)0ss&#39;</span><span class="p">,],</span>
+<span class="c">#102</span>
+    <span class="s">&#39;P 42 n m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)qq0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)qqs&#39;</span><span class="p">,],</span>
+<span class="c">#103</span>
+    <span class="s">&#39;P 4 c c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#104</span>
+    <span class="s">&#39;P 4 n c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)qq0&#39;</span><span class="p">,],</span>
+<span class="c">#105</span>
+    <span class="s">&#39;P 42 m c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#106</span>
+    <span class="s">&#39;P 42 b c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)qq0&#39;</span><span class="p">,],</span>
+<span class="c">#107</span>
+    <span class="s">&#39;I 4 m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,],</span>
+<span class="c">#108</span>
+    <span class="s">&#39;I 4 c m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,],</span>
+<span class="c">#109</span>
+    <span class="s">&#39;I 41 m d&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,],</span>
+<span class="c">#110</span>
+    <span class="s">&#39;I 41 c d&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,],</span>
+<span class="c">#111</span>
+    <span class="s">&#39;P -4 2 m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)0ss&#39;</span><span class="p">,],</span>
+<span class="c">#112</span>
+    <span class="s">&#39;P -4 2 c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#113</span>
+    <span class="s">&#39;P -4 21 m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,],</span>
+<span class="c">#114</span>
+    <span class="s">&#39;P -4 21 c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#115    00s -&gt; 0ss</span>
+    <span class="s">&#39;P -4 m 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#116</span>
+    <span class="s">&#39;P -4 c 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#117    00s -&gt; 0ss</span>
+    <span class="s">&#39;P -4 b 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)0q0&#39;</span><span class="p">,],</span>
+<span class="c">#118</span>
+    <span class="s">&#39;P -4 n 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)0q0&#39;</span><span class="p">,],</span>
+<span class="c">#119</span>
+    <span class="s">&#39;I -4 m 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#120</span>
+    <span class="s">&#39;I -4 c 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#121    00s -&gt; 0ss</span>
+    <span class="s">&#39;I -4 2 m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,],</span>
+<span class="c">#122</span>
+    <span class="s">&#39;I -4 2 d&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#123</span>
+    <span class="s">&#39;P 4/m m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00s&#39;</span><span class="p">,</span>
+        <span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)s00s&#39;</span><span class="p">,],</span>
+<span class="c">#124</span>
+    <span class="s">&#39;P 4/m c c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#125    o@i q0q0 -&gt; 0000, q0qs -&gt; 00ss</span>
+    <span class="s">&#39;P 4/n b m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)00ss&#39;</span><span class="p">,],</span>
+<span class="c">#126    o@i q0q0 -&gt; 0000</span>
+    <span class="s">&#39;P 4/n n c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#127</span>
+    <span class="s">&#39;P 4/m b m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00s&#39;</span><span class="p">,],</span>
+<span class="c">#128</span>
+    <span class="s">&#39;P 4/m n c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,],</span>
+<span class="c">#129</span>
+    <span class="s">&#39;P 4/n m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00s&#39;</span><span class="p">,],</span>
+<span class="c">#130</span>
+    <span class="s">&#39;P 4/n c c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,],</span>
+<span class="c">#131</span>
+    <span class="s">&#39;P 42/m m c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#132</span>
+    <span class="s">&#39;P 42/m c m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)00ss&#39;</span><span class="p">,],</span>
+<span class="c">#133    o@i q0q0 -&gt; 0000</span>
+    <span class="s">&#39;P 42/n b c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,],</span>
+<span class="c">#134    o@i q0q0 -&gt; 0000, q0qs -&gt; 00ss</span>
+    <span class="s">&#39;P 42/n n m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/21/2g)00ss&#39;</span><span class="p">,],</span>
+<span class="c">#135</span>
+    <span class="s">&#39;P 42/m b c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,],</span>
+<span class="c">#136</span>
+    <span class="s">&#39;P 42/m n m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,],</span>
+<span class="c">#137</span>
+    <span class="s">&#39;P 42/n m c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,],</span>
+<span class="c">#138</span>
+    <span class="s">&#39;P 42/n c m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,],</span>
+<span class="c">#139</span>
+    <span class="s">&#39;I 4/m m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00s&#39;</span><span class="p">,],</span>
+<span class="c">#140</span>
+    <span class="s">&#39;I 4/m c m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00s&#39;</span><span class="p">,],</span>
+<span class="c">#141</span>
+    <span class="s">&#39;I 41/a m d&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,],</span>
+<span class="c">#142</span>
+    <span class="s">&#39;I 41/a c d&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,],</span>
+    <span class="c">#trigonal/rhombahedral - done &amp; checked</span>
+<span class="c">#143</span>
+    <span class="s">&#39;P 3&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)t&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,],</span>
+<span class="c">#144</span>
+    <span class="s">&#39;P 31&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,],</span>
+<span class="c">#145</span>
+    <span class="s">&#39;P 32&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,],</span>
+<span class="c">#146</span>
+    <span class="s">&#39;R 3&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)t&#39;</span><span class="p">,],</span>
+<span class="c">#147</span>
+    <span class="s">&#39;P -3&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,],</span>
+<span class="c">#148</span>
+    <span class="s">&#39;R -3&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#149</span>
+    <span class="s">&#39;P 3 1 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)t00&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,],</span>
+<span class="c">#150</span>
+    <span class="s">&#39;P 3 2 1&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)t00&#39;</span><span class="p">,],</span>
+<span class="c">#151</span>
+    <span class="s">&#39;P 31 1 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,],</span>
+<span class="c">#152</span>
+    <span class="s">&#39;P 31 2 1&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#153</span>
+    <span class="s">&#39;P 32 1 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,],</span>
+<span class="c">#154</span>
+    <span class="s">&#39;P 32 2 1&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#155</span>
+    <span class="s">&#39;R 3 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)t0&#39;</span><span class="p">,],</span>
+<span class="c">#156</span>
+    <span class="s">&#39;P 3 m 1&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#157</span>
+    <span class="s">&#39;P 3 1 m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)00s&#39;</span><span class="p">,],</span>
+<span class="c">#158</span>
+    <span class="s">&#39;P 3 c 1&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#159</span>
+    <span class="s">&#39;P 3 1 c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,],</span>
+<span class="c">#160</span>
+    <span class="s">&#39;R 3 m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s&#39;</span><span class="p">,],</span>
+<span class="c">#161</span>
+    <span class="s">&#39;R 3 c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#162</span>
+    <span class="s">&#39;P -3 1 m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)00s&#39;</span><span class="p">,],</span>
+<span class="c">#163</span>
+    <span class="s">&#39;P -3 1 c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(1/31/3g)&#39;</span><span class="p">,],</span>
+<span class="c">#164</span>
+    <span class="s">&#39;P -3 m 1&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#165</span>
+    <span class="s">&#39;P -3 c 1&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#166        </span>
+    <span class="s">&#39;R -3 m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s&#39;</span><span class="p">,],</span>
+<span class="c">#167</span>
+    <span class="s">&#39;R -3 c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+    <span class="c">#hexagonal - done &amp; checked</span>
+<span class="c">#168</span>
+    <span class="s">&#39;P 6&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)h&#39;</span><span class="p">,</span><span class="s">&#39;(00g)t&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s&#39;</span><span class="p">,],</span>
+<span class="c">#169</span>
+    <span class="s">&#39;P 61&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#170</span>
+    <span class="s">&#39;P 65&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#171</span>
+    <span class="s">&#39;P 62&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)h&#39;</span><span class="p">,],</span>
+<span class="c">#172</span>
+    <span class="s">&#39;P 64&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)h&#39;</span><span class="p">,],</span>
+<span class="c">#173</span>
+    <span class="s">&#39;P 63&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)h&#39;</span><span class="p">,],</span>
+<span class="c">#174</span>
+    <span class="s">&#39;P -6&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#175</span>
+    <span class="s">&#39;P 6/m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0&#39;</span><span class="p">,],</span>
+<span class="c">#176</span>
+    <span class="s">&#39;P 63/m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#177</span>
+    <span class="s">&#39;P 6 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)h00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)t00&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00&#39;</span><span class="p">,],</span>
+<span class="c">#178</span>
+    <span class="s">&#39;P 61 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#179</span>
+    <span class="s">&#39;P 65 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#180</span>
+    <span class="s">&#39;P 62 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)h00&#39;</span><span class="p">,],</span>
+<span class="c">#181</span>
+    <span class="s">&#39;P 64 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)h00&#39;</span><span class="p">,],</span>
+<span class="c">#182</span>
+    <span class="s">&#39;P 63 2 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)h00&#39;</span><span class="p">,],</span>
+<span class="c">#183</span>
+    <span class="s">&#39;P 6 m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)ss0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,],</span>
+<span class="c">#184</span>
+    <span class="s">&#39;P 6 c c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s&#39;</span><span class="p">,],</span>
+<span class="c">#185</span>
+    <span class="s">&#39;P 63 c m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,],</span>
+<span class="c">#186</span>
+    <span class="s">&#39;P 63 m c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0ss&#39;</span><span class="p">,],</span>
+<span class="c">#187</span>
+    <span class="s">&#39;P -6 m 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)0s0&#39;</span><span class="p">,],</span>
+<span class="c">#188</span>
+    <span class="s">&#39;P -6 c 2&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#189</span>
+    <span class="s">&#39;P -6 2 m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00s&#39;</span><span class="p">,],</span>
+<span class="c">#190</span>
+    <span class="s">&#39;P -6 2 c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,],</span>
+<span class="c">#191</span>
+    <span class="s">&#39;P 6/m m m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s0s0&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00s&#39;</span><span class="p">,],</span>
+<span class="c">#192</span>
+    <span class="s">&#39;P 6/m c c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)s00s&#39;</span><span class="p">,],</span>
+<span class="c">#193</span>
+    <span class="s">&#39;P 63/m c m&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">,],</span>
+<span class="c">#194</span>
+    <span class="s">&#39;P 63/m m c&#39;</span><span class="p">:[</span><span class="s">&#39;(00g)&#39;</span><span class="p">,</span><span class="s">&#39;(00g)00ss&#39;</span><span class="p">],</span>
+    <span class="p">}</span>
+
 <span class="c">#&#39;A few non-standard space groups for test use&#39;</span>
 <span class="n">nonstandard_sglist</span> <span class="o">=</span> <span class="p">(</span><span class="s">&#39;P 21 1 1&#39;</span><span class="p">,</span><span class="s">&#39;P 1 21 1&#39;</span><span class="p">,</span><span class="s">&#39;P 1 1 21&#39;</span><span class="p">,</span><sp