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lhcl

金虫 (小有名气)

[求助] 对称操作

请教大家一个问题,对于群Fm3m,在第一布里渊区内取1/48的体积,在该体积内取一点(x,y,z)(倒空间)那么对称操作后,在整个第一布里渊区该点的对称点是否为:
x,y,z
  y,x,-x-y-z
  z,-x-y-z,x
  -x-y-z,z,y
  z,x,y
  -x-y-z,y,x
  x,z,-x-y-z
  y,-x-y-z,z
  y,z,x
  x,-x-y-z,y
  -x-y-z,x,z
  z,y,-x-y-z
  -x,-y,x+y+z
  -y,-x,-z
  -z,x+y+z,-y
  x+y+z,-z,-x
  -z,-x,x+y+z
  x+y+z,-y,-z
  -x,-z,-y
  -y,x+y+z,-x
  -y,-z,x+y+z
  -x,x+y+z,-z
  x+y+z,-x,-y
  -z,-y,-x
  -x,-y,-z
  -y,-x,x+y+z
  -z,x+y+z,-x
  x+y+z,-z,-y
  -z,-x,-y
  x+y+z,-y,-x
  -x,-z,x+y+z
  -y,x+y+z,-z
  -y,-z,-x
  -x,x+y+z,-y
  x+y+z,-x,-z
  -z,-y,x+y+z
  x,y,-x-y-z
  y,x,z
  z,-x-y-z,y
  -x-y-z,z,x
  z,x,-x-y-z
  -x-y-z,y,z
  x,z,y
  y,-x-y-z,x
  y,z,-x-y-z
  x,-x-y-z,z
  -x-y-z,x,y
  z,y,x
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