<?xml version="1.0"?>
<list id="spaceGroups">
<group id="1" HM="P 1" Hall="P 1">
  <transform>x,y,z</transform>
</group>
<group id="2" HM="P -1" Hall="-P 1">
  <transform>x,y,z</transform>
  <transform>-x,-y,-z</transform>
</group>
<group id="3" HMs="P 2" HM="P 1 2 1" Hall="P 2y">
  <transform>x,y,z</transform>
  <transform>-x,y,-z</transform>
</group>
<group id="3" HM="P 2 1 1" Hall="P 2x">
  <transform>x,y,z</transform>
  <transform>x,-y,-z</transform>
</group>
<group id="3" HM="P 1 1 2" Hall="P 2">
  <transform>x,y,z</transform>
  <transform>-x,-y,z</transform>
</group>
<group id="4" HMs="P 21" HM="P 1 21 1" Hall="P 2yb">
  <transform>x,y,z</transform>
  <transform>-x,1/2+y,-z</transform>
</group>
<group id="4" HM="P 21 1 1" Hall="P 2xa">
  <transform>x,y,z</transform>
  <transform>1/2+x,-y,-z</transform>
</group>
<group id="4" HM="P 1 1 21" Hall="P 2c">
  <transform>x,y,z</transform>
  <transform>-x,-y,1/2+z</transform>
</group>
<group id="5" HMs="C 2" HM="C 1 2 1" Hall="C 2y">
  <transform>x,y,z</transform>
  <transform>-x,y,-z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>1/2-x,1/2+y,-z</transform>
</group>
<group id="5" HM="A 1 2 1" Hall="A 2y">
  <transform>x,y,z</transform>
  <transform>-x,y,-z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>-x,1/2+y,1/2-z</transform>
</group>
<group id="5" HM="I 1 2 1" Hall="I 2y">
  <transform>x,y,z</transform>
  <transform>-x,y,-z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2-x,1/2+y,1/2-z</transform>
</group>
<group id="5" HM="A 1 1 2" Hall="A 2">
  <transform>x,y,z</transform>
  <transform>-x,-y,z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>-x,1/2-y,1/2+z</transform>
</group>
<group id="5" HM="B 1 1 2" Hall="B 2">
  <transform>x,y,z</transform>
  <transform>-x,-y,z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2-x,-y,1/2+z</transform>
</group>
<group id="5" HM="I 1 1 2" Hall="I 2">
  <transform>x,y,z</transform>
  <transform>-x,-y,z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2-x,1/2-y,1/2+z</transform>
</group>
<group id="5" HM="B 2 1 1" Hall="B 2x">
  <transform>x,y,z</transform>
  <transform>x,-y,-z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2+x,-y,1/2-z</transform>
</group>
<group id="5" HM="C 2 1 1" Hall="C 2x">
  <transform>x,y,z</transform>
  <transform>x,-y,-z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>1/2+x,1/2-y,-z</transform>
</group>
<group id="5" HM="I 2 1 1" Hall="I 2x">
  <transform>x,y,z</transform>
  <transform>x,-y,-z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2-y,1/2-z</transform>
</group>
<group id="6" HMs="P m" HM="P 1 m 1" Hall="P -2y">
  <transform>x,y,z</transform>
  <transform>x,-y,z</transform>
 </group>
<group id="6" HM="P 1 1 m" Hall="P -2">
  <transform>x,y,z</transform>
  <transform>x,y,-z</transform>
</group>
<group id="6" HM="P m 1 1" Hall="P -2x">
  <transform>x,y,z</transform>
  <transform>-x,y,z</transform>
</group>
<group id="7" HMs="P c" HM="P 1 c 1" Hall="P -2yc">
  <transform>x,y,z</transform>
  <transform>x,-y,1/2+z</transform>
</group>
<group id="7" HM="P 1 n 1" Hall="P -2yac">
  <transform>x,y,z</transform>
  <transform>1/2+x,y,1/2+z</transform>
</group>
<group id="7" HM="P 1 a 1" Hall="P -2ya">
  <transform>x,y,z</transform>
  <transform>1/2+x,-y,z</transform>
</group>
<group id="7" HM="P 1 1 a" Hall="P -2a">
  <transform>x,y,z</transform>
  <transform>1/2+x,y,-z</transform>
</group>
<group id="7" HM="P 1 1 n" Hall="P -2ab">
  <transform>x,y,z</transform>
  <transform>1/2+x,1/2+y,-z</transform>
</group>
<group id="7" HMs="P b" HM="P 1 1 b" Hall="P -2b">
  <transform>x,y,z</transform>
  <transform>x,1/2+y,-z</transform>
</group>
<group id="7" HM="P b 1 1" Hall="P -2xb">
  <transform>x,y,z</transform>
  <transform>-x,1/2+y,z</transform>
</group>
<group id="7" HM="P n 1 1" Hall="P -2xbc">
  <transform>x,y,z</transform>
  <transform>-x,1/2+y,1/2+z</transform>
</group>
<group id="7" HM="P c 1 1" Hall="P -2xc">
  <transform>x,y,z</transform>
  <transform>-x,y,1/2+z</transform>
</group>
<group id="8" HMs="C m" HM="C 1 m 1" Hall="C -2y">
  <transform>x,y,z</transform>
  <transform>x,-y,z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>1/2+x,1/2-y,z</transform>
</group>
<group id="8" HM="A 1 m 1" Hall="A -2y">
  <transform>x,y,z</transform>
  <transform>x,-y,z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>x,1/2-y,1/2+z</transform>
</group>
<group id="8" HM="I 1 m 1" Hall="I -2y">
  <transform>x,y,z</transform>
  <transform>x,-y,z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2-y,1/2+z</transform>
</group>
<group id="8" HM="A 1 1 m" Hall="A -2">
  <transform>x,y,z</transform>
  <transform>x,y,-z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>x,1/2+y,1/2-z</transform>
</group>
<group id="8" HMs="B m" HM="B 1 1 m" Hall="B -2">
  <transform>x,y,z</transform>
  <transform>x,y,-z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2+x,y,1/2-z</transform>
</group>
<group id="8" HM="I 1 1 m" Hall="I -2">
  <transform>x,y,z</transform>
  <transform>x,y,-z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2+y,1/2-z</transform>
</group>
<group id="8" HM="B m 1 1" Hall="B -2x">
  <transform>x,y,z</transform>
  <transform>-x,y,z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2-x,y,1/2+z</transform>
</group>
<group id="8" HM="C m 1 1" Hall="C -2x">
  <transform>x,y,z</transform>
  <transform>-x,y,z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>1/2-x,1/2+y,z</transform>
</group>
<group id="8" HM="I m 1 1" Hall="I -2x">
  <transform>x,y,z</transform>
  <transform>-x,y,z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2-x,1/2+y,1/2+z</transform>
</group>
<group id="9" HMs="C c" HM="C 1 c 1" Hall="C -2yc">
  <transform>x,y,z</transform>
  <transform>x,-y,1/2+z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>1/2+x,1/2-y,1/2+z</transform>
</group>
<group id="9" HM="A 1 n 1" Hall="A -2yac">
  <transform>x,y,z</transform>
  <transform>1/2+x,-y,1/2+z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2-y,z</transform>
</group>
<group id="9" HM="I 1 a 1" Hall="I -2ya">
  <transform>x,y,z</transform>
  <transform>1/2+x,-y,z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>x,1/2-y,1/2+z</transform>
</group>
<group id="9" HM="A 1 a 1" Hall="A -2ya">
  <transform>x,y,z</transform>
  <transform>1/2+x,-y,z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2-y,1/2+z</transform>
</group>
<group id="9" HM="C 1 n 1" Hall="C -2ybc">
  <transform>x,y,z</transform>
  <transform>1/2+x,-y,1/2+z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>x,1/2-y,1/2+z</transform>
</group>
<group id="9" HM="I 1 c 1" Hall="I -2yc">
  <transform>x,y,z</transform>
  <transform>x,-y,1/2+z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2-y,z</transform>
</group>
<group id="9" HM="A 1 1 a" Hall="A -2a">
  <transform>x,y,z</transform>
  <transform>1/2+x,y,-z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2+y,1/2-z</transform>
</group>
<group id="9" HM="B 1 1 n" Hall="B -2bc">
  <transform>x,y,z</transform>
  <transform>x,1/2+y,-z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2+x,1/2+y,1/2-z</transform>
</group>
<group id="9" HM="I 1 1 b" Hall="I -2b">
  <transform>x,y,z</transform>
  <transform>x,1/2+y,-z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2+x,y,1/2-z</transform>
</group>
<group id="9" HMs="B b"  HM="B 1 1 b" Hall="B -2b">
  <transform>x,y,z</transform>
  <transform>x,1/2+y,-z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2+x,1/2+y,1/2-z</transform>
</group>
<group id="9" HM="A 1 1 n" Hall="A -2ac">
  <transform>x,y,z</transform>
  <transform>1/2+x,1/2+y,-z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>1/2+x,y,1/2-z</transform>
</group>
<group id="9" HM="I 1 1 a" Hall="I -2a">
  <transform>x,y,z</transform>
  <transform>1/2+x,y,-z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>x,1/2+y,1/2-z</transform>
</group>
<group id="9" HM="B b 1 1" Hall="B -2xb">
  <transform>x,y,z</transform>
  <transform>-x,1/2+y,z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2-x,1/2+y,1/2+z</transform>
</group>
<group id="9" HM="C n 1 1" Hall="C -2xbc">
  <transform>x,y,z</transform>
  <transform>-x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>1/2-x,y,1/2+z</transform>
</group>
<group id="9" HM="I c 1 1" Hall="I -2xc">
  <transform>x,y,z</transform>
  <transform>-x,y,1/2+z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2-x,1/2+y,z</transform>
</group>
<group id="9" HM="C c 1 1" Hall="C -2xc">
  <transform>x,y,z</transform>
  <transform>-x,y,1/2+z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>1/2-x,1/2+y,1/2+z</transform>
</group>
<group id="9" HM="B n 1 1" Hall="B -2xbc">
  <transform>x,y,z</transform>
  <transform>-x,1/2+y,1/2+z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2-x,1/2+y,z</transform>
</group>
<group id="9" HM="I b 1 1" Hall="I -2xb">
  <transform>x,y,z</transform>
  <transform>-x,1/2+y,z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2-x,y,1/2+z</transform>
</group>
<group id="10" HMs="P 2/m" HM="P 1 2/m 1" Hall="-P 2y">
  <transform>x,y,z</transform>
  <transform>-x,y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,-y,z</transform>
</group>
<group id="10" HM="P 1 1 2/m" Hall="-P 2">
  <transform>x,y,z</transform>
  <transform>-x,-y,z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,y,-z</transform>
</group>
<group id="10" HM="P 2/m 1 1" Hall="-P 2x">
  <transform>x,y,z</transform>
  <transform>x,-y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>-x,y,z</transform>
</group>
<group id="11" HMs="P 21/m" HM="P 1 21/m 1" Hall="-P 2yb">
  <transform>x,y,z</transform>
  <transform>-x,1/2+y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,1/2-y,z</transform>
</group>
<group id="11" HM="P 1 1 21/m" Hall="-P 2c">
  <transform>x,y,z</transform>
  <transform>-x,-y,1/2+z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,y,1/2-z</transform>
</group>
<group id="11" HM="P 21/m 1 1" Hall="-P 2xa">
  <transform>x,y,z</transform>
  <transform>1/2+x,-y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>1/2-x,y,z</transform>
</group>
<group id="12" HMs="C 2/m" HM="C 1 2/m 1" Hall="-C 2y">
  <transform>x,y,z</transform>
  <transform>-x,y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,-y,z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>1/2-x,1/2+y,-z</transform>
  <transform>1/2-x,1/2-y,-z</transform>
  <transform>1/2+x,1/2-y,z</transform>
</group>
<group id="12" HM="A 1 2/m 1" Hall="-A 2y">
  <transform>x,y,z</transform>
  <transform>-x,y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,-y,z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>-x,1/2+y,1/2-z</transform>
  <transform>-x,1/2-y,1/2-z</transform>
  <transform>x,1/2-y,1/2+z</transform>
</group>
<group id="12" HM="I 1 2/m 1" Hall="-I 2y">
  <transform>x,y,z</transform>
  <transform>-x,y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,-y,z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2-y,1/2+z</transform>
  <transform>1/2-x,1/2+y,1/2-z</transform>
  <transform>1/2-x,1/2-y,1/2-z</transform>
</group>
<group id="12" HM="A 1 1 2/m" Hall="-A 2">
  <transform>x,y,z</transform>
  <transform>-x,-y,z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,y,-z</transform>
  <transform>x,1/2+y,1/2+z</transform>
  <transform>-x,1/2-y,1/2+z</transform>
  <transform>-x,1/2-y,1/2-z</transform>
  <transform>x,1/2+y,1/2-z</transform>
</group>
<group id="12" HMs="B 2/m" HM="B 1 1 2/m" Hall="-B 2">
  <transform>x,y,z</transform>
  <transform>-x,-y,z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,y,-z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2-x,-y,1/2+z</transform>
  <transform>1/2-x,-y,1/2-z</transform>
  <transform>1/2+x,y,1/2-z</transform>
</group>
<group id="12" HM="I 1 1 2/m" Hall="-I 2">
  <transform>x,y,z</transform>
  <transform>-x,-y,z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,y,-z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2-x,1/2-y,1/2+z</transform>
  <transform>1/2-x,1/2-y,1/2-z</transform>
  <transform>1/2+x,1/2+y,1/2-z</transform>
</group>
<group id="12" HM="B 2/m 1 1" Hall="-B 2x">
  <transform>x,y,z</transform>
  <transform>x,-y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>-x,y,z</transform>
  <transform>1/2+x,y,1/2+z</transform>
  <transform>1/2+x,-y,1/2-z</transform>
  <transform>1/2-x,-y,1/2-z</transform>
  <transform>1/2-x,y,1/2+z</transform>
</group>
<group id="12" HM="C 2/m 1 1" Hall="-C 2x">
  <transform>x,y,z</transform>
  <transform>x,-y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>-x,y,z</transform>
  <transform>1/2+x,1/2+y,z</transform>
  <transform>1/2+x,1/2-y,-z</transform>
  <transform>1/2-x,1/2-y,-z</transform>
  <transform>1/2-x,1/2+y,z</transform>
</group>
<group id="12" HM="I 2/m 1 1" Hall="-I 2x">
  <transform>x,y,z</transform>
  <transform>x,-y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>-x,y,z</transform>
  <transform>1/2+x,1/2+y,1/2+z</transform>
  <transform>1/2+x,1/2-y,1/2-z</transform>
  <transform>1/2-x,1/2-y,1/2-z</transform>
  <transform>1/2-x,1/2+y,1/2+z</transform>
</group>
<group id="13" HMs="P 2/c" HM="P 1 2/c 1" Hall="-P 2yc">
  <transform>x,y,z</transform>
  <transform>-x,y,1/2-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,-y,1/2+z</transform>
</group>
<group id="13" HM="P 1 2/n 1" Hall="-P 2yac">
  <transform>x,y,z</transform>
  <transform>1/2-x,y,1/2-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>1/2+x,-y,1/2+z</transform>
</group>
<group id="13" HM="P 1 2/a 1" Hall="-P 2ya">
  <transform>x,y,z</transform>
  <transform>1/2-x,y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>1/2+x,-y,z</transform>
</group>
<group id="13" HM="P 1 1 2/a" Hall="-P 2a">
  <transform>x,y,z</transform>
  <transform>1/2-x,-y,z</transform>
  <transform>-x,-y,-z</transform>
  <transform>1/2+x,y,-z</transform>
</group>
<group id="13" HM="P 1 1 2/n" Hall="-P 2ab">
  <transform>x,y,z</transform>
  <transform>1/2-x,1/2-y,z</transform>
  <transform>-x,-y,-z</transform>
  <transform>1/2+x,1/2+y,-z</transform>
</group>
<group id="13" HMs="P 2/b" HM="P 1 1 2/b" Hall="-P 2b">
  <transform>x,y,z</transform>
  <transform>-x,1/2-y,z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,1/2+y,-z</transform>
</group>
<group id="13" HM="P 2/b 1 1" Hall="-P 2xb">
  <transform>x,y,z</transform>
  <transform>x,1/2-y,-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>-x,1/2+y,z</transform>
</group>
<group id="13" HM="P 2/n 1 1" Hall="-P 2xbc">
  <transform>x,y,z</transform>
  <transform>x,1/2-y,1/2-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>-x,1/2+y,1/2+z</transform>
</group>
<group id="13" HM="P 2/c 1 1" Hall="-P 2xc">
  <transform>x,y,z</transform>
  <transform>x,-y,1/2-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>-x,y,1/2+z</transform>
</group>
<group id="14" HMs="P 21/c" HM="P 1 21/c 1" Hall="-P 2ybc">
  <transform>x,y,z</transform>
  <transform>-x,1/2+y,1/2-z</transform>
  <transform>-x,-y,-z</transform>
  <transform>x,1/2-y,1/2+z</transform>
</group>
<group id="14" HM="P 1 21/n 1" Hall="-P 2yn">
  <transform>x,y,z</transform>
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<group id="29" HM="P 21 c a" Hall="P -2ac 2a">
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<group id="31" HM="P m n 21" Hall="P 2ac -2">
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<group id="31" HM="P 21 n m" Hall="P -2 2ac">
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<group id="31" HM="P m 21 n" Hall="P -2ab -2">
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<group id="32" HM="P c 2 a" Hall="P -2ac -2ac">
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<group id="33" HM="P 21 n b" Hall="P -2bc 2a">
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<group id="33" HM="P 21 c n" Hall="P -2n 2a">
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<group id="33" HM="P c 21 n" Hall="P -2n -2ac">
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<group id="40" HM="B 2 m b" Hall="B -2b 2">
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-x	-y	z
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  <transform>3/4-x,1/4-z,1/4+y</transform>
  <transform>1/4+z,3/4+y,3/4-x</transform>
  <transform>3/4+z,1/4+y,1/4-x</transform>
  <transform>1/4-y,3/4-x,3/4+z</transform>
  <transform>3/4-y,1/4-x,1/4+z</transform>
  <transform>1/4+x,3/4+z,3/4-y</transform>
  <transform>3/4+x,1/4+z,1/4-y</transform>
  <transform>1/4-z,3/4-y,3/4+x</transform>
  <transform>3/4-z,1/4-y,1/4+x</transform>
  <transform>1/4+y,3/4+x,3/4-z</transform>
  <transform>3/4+y,1/4+x,1/4-z</transform>
  <transform>-z,-x,-y</transform>
  <transform>1/2-z,1/2-x,1/2-y</transform>
  <transform>y,z,x</transform>
  <transform>1/2+y,1/2+z,1/2+x</transform>
  <transform>-x,-y,-z</transform>
  <transform>1/2-x,1/2-y,1/2-z</transform>
  <transform>z,x,y</transform>
  <transform>1/2+z,1/2+x,1/2+y</transform>
  <transform>-y,-z,-x</transform>
  <transform>1/2-y,1/2-z,1/2-x</transform>
</group>
</list>
