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# x1,x2,x3,x4 -> x,y,z
# -x2,x1-x2,x3,x4 -> -y,x-y,z
# -x1+x2,-x1,x3,x4 -> -x+y,-x,z
# x2,x1,-x3,-x4 -> y,x,-z
# x1-x2,-x2,-x3,-x4 -> x-y,-y,-z
# -x1,-x1+x2,-x3,-x4 -> -x,-x+y,-z
# -x1,-x2,-x3,-x4 -> -x,-y,-z
# x2,-x1+x2,-x3,-x4 -> y,-x+y,-z
# x1-x2,x1,-x3,-x4 -> x-y,x,-z
# -x2,-x1,x3,x4 -> -y,-x,z
# -x1+x2,x2,x3,x4 -> -x+y,y,z
# x1,x1-x2,x3,x4 -> x,x-y,z
nrepreset: 6
representatives:
x,y,z
-y,x-y,z
-x+y,-x,z
y,x,-z
-x,-x+y,-z
x-y,-y,-z
nsymops: 12
symops:
x,y,z
-y,x-y,z
-x+y,-x,z
y,x,-z
-x,-x+y,-z
x-y,-y,-z
-x,-y,-z
y,-x+y,-z
x-y,x,-z
-y,-x,z
x,x-y,z
-x+y,y,z
inversion: 1
centering: 0,0,0
{
"constraints" => "$a == $b && $alpha == 90 && $beta == 90 && $gamma == 120",
"crystal_class" => "trigonal",
"hall" => "-P 3 2"",
"hermann_mauguin" => "P -3 m 1",
"ncsym" => [ "x,y,z", "-y,x-y,z", "-x+y,-x,z", "y,x,-z", "-x,-x+y,-z", "x-y,-y,-z", "-x,-y,-z", "y,-x+y,-z", "x-y,x,-z", "-y,-x,z", "x,x-y,z", "-x+y,y,z" ],
"number" => "164",
"schoenflies" => "D3d^3",
"symops" => [ "x,y,z", "-y,x-y,z", "-x+y,-x,z", "y,x,-z", "-x,-x+y,-z", "x-y,-y,-z", "-x,-y,-z", "y,-x+y,-z", "x-y,x,-z", "-y,-x,z", "x,x-y,z", "-x+y,y,z" ],
"universal_h_m" => "P -3 m 1",
},
#-------------------------
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