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Symmetry operations of the Double Space Group Pm-3n (No. 223)


N Shorthand
notation
Matrix presentation Seitz symbol
(0,0,0)+set
1x,y,z
s+,s-
(
   1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
1 0
0 1
)
{1|0,0,0}
2-x,-y,z
-is+,is-
(
  -1   0   0      0
   0  -1   0      0
   0   0   1      0
)
(
-i 0
0 i
)
{2001|0,0,0}
3-x,y,-z
-s-,s+
(
  -1   0   0      0
   0   1   0      0
   0   0  -1      0
)
(
0 -1
1 0
)
{2010|0,0,0}
4x,-y,-z
-is-,-is+
(
   1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
0 -i
-i 0
)
{2100|0,0,0}
5z,x,y
(1-i)s+/2-(1+i)s-/2,(1-i)s+/2+(1+i)s-/2
(
   0   0   1      0
   1   0   0      0
   0   1   0      0
)
(
(1-i)/2 -(1+i)/2
(1-i)/2 (1+i)/2
)
{3+111|0,0,0}
6z,-x,-y
(1+i)s+/2-(1-i)s-/2,(1+i)s+/2+(1-i)s-/2
(
   0   0   1      0
  -1   0   0      0
   0  -1   0      0
)
(
(1+i)/2 -(1-i)/2
(1+i)/2 (1-i)/2
)
{3+111|0,0,0}
7-z,-x,y
(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1-i)s-/2
(
   0   0  -1      0
  -1   0   0      0
   0   1   0      0
)
(
(1+i)/2 (1-i)/2
-(1+i)/2 (1-i)/2
)
{3+111|0,0,0}
8-z,x,-y
(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1+i)s-/2
(
   0   0  -1      0
   1   0   0      0
   0  -1   0      0
)
(
(1-i)/2 (1+i)/2
-(1-i)/2 (1+i)/2
)
{3+111|0,0,0}
9y,z,x
(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1-i)s-/2
(
   0   1   0      0
   0   0   1      0
   1   0   0      0
)
(
(1+i)/2 (1+i)/2
-(1-i)/2 (1-i)/2
)
{3-111|0,0,0}
10-y,z,-x
(1-i)s+/2-(1-i)s-/2,(1+i)s+/2+(1+i)s-/2
(
   0  -1   0      0
   0   0   1      0
  -1   0   0      0
)
(
(1-i)/2 -(1-i)/2
(1+i)/2 (1+i)/2
)
{3-111|0,0,0}
11y,-z,-x
(1+i)s+/2-(1+i)s-/2,(1-i)s+/2+(1-i)s-/2
(
   0   1   0      0
   0   0  -1      0
  -1   0   0      0
)
(
(1+i)/2 -(1+i)/2
(1-i)/2 (1-i)/2
)
{3-111|0,0,0}
12-y,-z,x
(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1+i)s-/2
(
   0  -1   0      0
   0   0  -1      0
   1   0   0      0
)
(
(1-i)/2 (1-i)/2
-(1+i)/2 (1+i)/2
)
{3-111|0,0,0}
131/2+y,1/2+x,1/2-z
-(1+i)2s-/2,(1-i)2s+/2
(
   0   1   0    1/2
   1   0   0    1/2
   0   0  -1    1/2
)
(
0 -(1+i)2/2
(1-i)2/2 0
)
{2110|1/2,1/2,1/2}
141/2-y,1/2-x,1/2-z
-(1-i)2s-/2,(1+i)2s+/2
(
   0  -1   0    1/2
  -1   0   0    1/2
   0   0  -1    1/2
)
(
0 -(1-i)2/2
(1+i)2/2 0
)
{2110|1/2,1/2,1/2}
151/2+y,1/2-x,1/2+z
(1+i)2s+/2,(1-i)2s-/2
(
   0   1   0    1/2
  -1   0   0    1/2
   0   0   1    1/2
)
(
(1+i)2/2 0
0 (1-i)2/2
)
{4-001|1/2,1/2,1/2}
161/2-y,1/2+x,1/2+z
(1-i)2s+/2,(1+i)2s-/2
(
   0  -1   0    1/2
   1   0   0    1/2
   0   0   1    1/2
)
(
(1-i)2/2 0
0 (1+i)2/2
)
{4+001|1/2,1/2,1/2}
171/2+x,1/2+z,1/2-y
2s+/2+i2s-/2,i2s+/2+2s-/2
(
   1   0   0    1/2
   0   0   1    1/2
   0  -1   0    1/2
)
(
2/2 i2/2
i2/2 2/2
)
{4-100|1/2,1/2,1/2}
181/2-x,1/2+z,1/2+y
i2s+/2+2s-/2,-2s+/2-i2s-/2
(
  -1   0   0    1/2
   0   0   1    1/2
   0   1   0    1/2
)
(
i2/2 2/2
-2/2 -i2/2
)
{2011|1/2,1/2,1/2}
191/2-x,1/2-z,1/2-y
-i2s+/2+2s-/2,-2s+/2+i2s-/2
(
  -1   0   0    1/2
   0   0  -1    1/2
   0  -1   0    1/2
)
(
-i2/2 2/2
-2/2 i2/2
)
{2011|1/2,1/2,1/2}
201/2+x,1/2-z,1/2+y
2s+/2-i2s-/2,-i2s+/2+2s-/2
(
   1   0   0    1/2
   0   0  -1    1/2
   0   1   0    1/2
)
(
2/2 -i2/2
-i2/2 2/2
)
{4+100|1/2,1/2,1/2}
211/2+z,1/2+y,1/2-x
2s+/2-2s-/2,2s+/2+2s-/2
(
   0   0   1    1/2
   0   1   0    1/2
  -1   0   0    1/2
)
(
2/2 -2/2
2/2 2/2
)
{4+010|1/2,1/2,1/2}
221/2+z,1/2-y,1/2+x
-i2s+/2-i2s-/2,-i2s+/2+i2s-/2
(
   0   0   1    1/2
   0  -1   0    1/2
   1   0   0    1/2
)
(
-i2/2 -i2/2
-i2/2 i2/2
)
{2101|1/2,1/2,1/2}
231/2-z,1/2+y,1/2+x
2s+/2+2s-/2,-2s+/2+2s-/2
(
   0   0  -1    1/2
   0   1   0    1/2
   1   0   0    1/2
)
(
2/2 2/2
-2/2 2/2
)
{4-010|1/2,1/2,1/2}
241/2-z,1/2-y,1/2-x
i2s+/2-i2s-/2,-i2s+/2-i2s-/2
(
   0   0  -1    1/2
   0  -1   0    1/2
  -1   0   0    1/2
)
(
i2/2 -i2/2
-i2/2 -i2/2
)
{2101|1/2,1/2,1/2}
25-x,-y,-z
s+,s-
(
  -1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
1 0
0 1
)
{1|0,0,0}
26x,y,-z
-is+,is-
(
   1   0   0      0
   0   1   0      0
   0   0  -1      0
)
(
-i 0
0 i
)
{m001|0,0,0}
27x,-y,z
-s-,s+
(
   1   0   0      0
   0  -1   0      0
   0   0   1      0
)
(
0 -1
1 0
)
{m010|0,0,0}
28-x,y,z
-is-,-is+
(
  -1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
0 -i
-i 0
)
{m100|0,0,0}
29-z,-x,-y
(1-i)s+/2-(1+i)s-/2,(1-i)s+/2+(1+i)s-/2
(
   0   0  -1      0
  -1   0   0      0
   0  -1   0      0
)
(
(1-i)/2 -(1+i)/2
(1-i)/2 (1+i)/2
)
{3+111|0,0,0}
30-z,x,y
(1+i)s+/2-(1-i)s-/2,(1+i)s+/2+(1-i)s-/2
(
   0   0  -1      0
   1   0   0      0
   0   1   0      0
)
(
(1+i)/2 -(1-i)/2
(1+i)/2 (1-i)/2
)
{3+111|0,0,0}
31z,x,-y
(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1-i)s-/2
(
   0   0   1      0
   1   0   0      0
   0  -1   0      0
)
(
(1+i)/2 (1-i)/2
-(1+i)/2 (1-i)/2
)
{3+111|0,0,0}
32z,-x,y
(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1+i)s-/2
(
   0   0   1      0
  -1   0   0      0
   0   1   0      0
)
(
(1-i)/2 (1+i)/2
-(1-i)/2 (1+i)/2
)
{3+111|0,0,0}
33-y,-z,-x
(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1-i)s-/2
(
   0  -1   0      0
   0   0  -1      0
  -1   0   0      0
)
(
(1+i)/2 (1+i)/2
-(1-i)/2 (1-i)/2
)
{3-111|0,0,0}
34y,-z,x
(1-i)s+/2-(1-i)s-/2,(1+i)s+/2+(1+i)s-/2
(
   0   1   0      0
   0   0  -1      0
   1   0   0      0
)
(
(1-i)/2 -(1-i)/2
(1+i)/2 (1+i)/2
)
{3-111|0,0,0}
35-y,z,x
(1+i)s+/2-(1+i)s-/2,(1-i)s+/2+(1-i)s-/2
(
   0  -1   0      0
   0   0   1      0
   1   0   0      0
)
(
(1+i)/2 -(1+i)/2
(1-i)/2 (1-i)/2
)
{3-111|0,0,0}
36y,z,-x
(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1+i)s-/2
(
   0   1   0      0
   0   0   1      0
  -1   0   0      0
)
(
(1-i)/2 (1-i)/2
-(1+i)/2 (1+i)/2
)
{3-111|0,0,0}
371/2-y,1/2-x,1/2+z
-(1+i)2s-/2,(1-i)2s+/2
(
   0  -1   0    1/2
  -1   0   0    1/2
   0   0   1    1/2
)
(
0 -(1+i)2/2
(1-i)2/2 0
)
{m110|1/2,1/2,1/2}
381/2+y,1/2+x,1/2+z
-(1-i)2s-/2,(1+i)2s+/2
(
   0   1   0    1/2
   1   0   0    1/2
   0   0   1    1/2
)
(
0 -(1-i)2/2
(1+i)2/2 0
)
{m110|1/2,1/2,1/2}
391/2-y,1/2+x,1/2-z
(1+i)2s+/2,(1-i)2s-/2
(
   0  -1   0    1/2
   1   0   0    1/2
   0   0  -1    1/2
)
(
(1+i)2/2 0
0 (1-i)2/2
)
{4-001|1/2,1/2,1/2}
401/2+y,1/2-x,1/2-z
(1-i)2s+/2,(1+i)2s-/2
(
   0   1   0    1/2
  -1   0   0    1/2
   0   0  -1    1/2
)
(
(1-i)2/2 0
0 (1+i)2/2
)
{4+001|1/2,1/2,1/2}
411/2-x,1/2-z,1/2+y
2s+/2+i2s-/2,i2s+/2+2s-/2
(
  -1   0   0    1/2
   0   0  -1    1/2
   0   1   0    1/2
)
(
2/2 i2/2
i2/2 2/2
)
{4-100|1/2,1/2,1/2}
421/2+x,1/2-z,1/2-y
i2s+/2+2s-/2,-2s+/2-i2s-/2
(
   1   0   0    1/2
   0   0  -1    1/2
   0  -1   0    1/2
)
(
i2/2 2/2
-2/2 -i2/2
)
{m011|1/2,1/2,1/2}
431/2+x,1/2+z,1/2+y
-i2s+/2+2s-/2,-2s+/2+i2s-/2
(
   1   0   0    1/2
   0   0   1    1/2
   0   1   0    1/2
)
(
-i2/2 2/2
-2/2 i2/2
)
{m011|1/2,1/2,1/2}
441/2-x,1/2+z,1/2-y
2s+/2-i2s-/2,-i2s+/2+2s-/2
(
  -1   0   0    1/2
   0   0   1    1/2
   0  -1   0    1/2
)
(
2/2 -i2/2
-i2/2 2/2
)
{4+100|1/2,1/2,1/2}
451/2-z,1/2-y,1/2+x
2s+/2-2s-/2,2s+/2+2s-/2
(
   0   0  -1    1/2
   0  -1   0    1/2
   1   0   0    1/2
)
(
2/2 -2/2
2/2 2/2
)
{4+010|1/2,1/2,1/2}
461/2-z,1/2+y,1/2-x
-i2s+/2-i2s-/2,-i2s+/2+i2s-/2
(
   0   0  -1    1/2
   0   1   0    1/2
  -1   0   0    1/2
)
(
-i2/2 -i2/2
-i2/2 i2/2
)
{m101|1/2,1/2,1/2}
471/2+z,1/2-y,1/2-x
2s+/2+2s-/2,-2s+/2+2s-/2
(
   0   0   1    1/2
   0  -1   0    1/2
  -1   0   0    1/2
)
(
2/2 2/2
-2/2 2/2
)
{4-010|1/2,1/2,1/2}
481/2+z,1/2+y,1/2+x
i2s+/2-i2s-/2,-i2s+/2-i2s-/2
(
   0   0   1    1/2
   0   1   0    1/2
   1   0   0    1/2
)
(
i2/2 -i2/2
-i2/2 -i2/2
)
{m101|1/2,1/2,1/2}
49x,y,z
-s+,-s-
(
   1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
-1 0
0 -1
)
{d1|0,0,0}
50-x,-y,z
is+,-is-
(
  -1   0   0      0
   0  -1   0      0
   0   0   1      0
)
(
i 0
0 -i
)
{d2001|0,0,0}
51-x,y,-z
s-,-s+
(
  -1   0   0      0
   0   1   0      0
   0   0  -1      0
)
(
0 1
-1 0
)
{d2010|0,0,0}
52x,-y,-z
is-,is+
(
   1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
0 i
i 0
)
{d2100|0,0,0}
53z,x,y
-(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1+i)s-/2
(
   0   0   1      0
   1   0   0      0
   0   1   0      0
)
(
-(1-i)/2 (1+i)/2
-(1-i)/2 -(1+i)/2
)
{d3+111|0,0,0}
54z,-x,-y
-(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1-i)s-/2
(
   0   0   1      0
  -1   0   0      0
   0  -1   0      0
)
(
-(1+i)/2 (1-i)/2
-(1+i)/2 -(1-i)/2
)
{d3+111|0,0,0}
55-z,-x,y
-(1+i)s+/2-(1-i)s-/2,(1+i)s+/2-(1-i)s-/2
(
   0   0  -1      0
  -1   0   0      0
   0   1   0      0
)
(
-(1+i)/2 -(1-i)/2
(1+i)/2 -(1-i)/2
)
{d3+111|0,0,0}
56-z,x,-y
-(1-i)s+/2-(1+i)s-/2,(1-i)s+/2-(1+i)s-/2
(
   0   0  -1      0
   1   0   0      0
   0  -1   0      0
)
(
-(1-i)/2 -(1+i)/2
(1-i)/2 -(1+i)/2
)
{d3+111|0,0,0}
57y,z,x
-(1+i)s+/2-(1+i)s-/2,(1-i)s+/2-(1-i)s-/2
(
   0   1   0      0
   0   0   1      0
   1   0   0      0
)
(
-(1+i)/2 -(1+i)/2
(1-i)/2 -(1-i)/2
)
{d3-111|0,0,0}
58-y,z,-x
-(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1+i)s-/2
(
   0  -1   0      0
   0   0   1      0
  -1   0   0      0
)
(
-(1-i)/2 (1-i)/2
-(1+i)/2 -(1+i)/2
)
{d3-111|0,0,0}
59y,-z,-x
-(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1-i)s-/2
(
   0   1   0      0
   0   0  -1      0
  -1   0   0      0
)
(
-(1+i)/2 (1+i)/2
-(1-i)/2 -(1-i)/2
)
{d3-111|0,0,0}
60-y,-z,x
-(1-i)s+/2-(1-i)s-/2,(1+i)s+/2-(1+i)s-/2
(
   0  -1   0      0
   0   0  -1      0
   1   0   0      0
)
(
-(1-i)/2 -(1-i)/2
(1+i)/2 -(1+i)/2
)
{d3-111|0,0,0}
611/2+y,1/2+x,1/2-z
(1+i)2s-/2,-(1-i)2s+/2
(
   0   1   0    1/2
   1   0   0    1/2
   0   0  -1    1/2
)
(
0 (1+i)2/2
-(1-i)2/2 0
)
{d2110|1/2,1/2,1/2}
621/2-y,1/2-x,1/2-z
(1-i)2s-/2,-(1+i)2s+/2
(
   0  -1   0    1/2
  -1   0   0    1/2
   0   0  -1    1/2
)
(
0 (1-i)2/2
-(1+i)2/2 0
)
{d2110|1/2,1/2,1/2}
631/2+y,1/2-x,1/2+z
-(1+i)2s+/2,-(1-i)2s-/2
(
   0   1   0    1/2
  -1   0   0    1/2
   0   0   1    1/2
)
(
-(1+i)2/2 0
0 -(1-i)2/2
)
{d4-001|1/2,1/2,1/2}
641/2-y,1/2+x,1/2+z
-(1-i)2s+/2,-(1+i)2s-/2
(
   0  -1   0    1/2
   1   0   0    1/2
   0   0   1    1/2
)
(
-(1-i)2/2 0
0 -(1+i)2/2
)
{d4+001|1/2,1/2,1/2}
651/2+x,1/2+z,1/2-y
-2s+/2-i2s-/2,-i2s+/2-2s-/2
(
   1   0   0    1/2
   0   0   1    1/2
   0  -1   0    1/2
)
(
-2/2 -i2/2
-i2/2 -2/2
)
{d4-100|1/2,1/2,1/2}
661/2-x,1/2+z,1/2+y
-i2s+/2-2s-/2,2s+/2+i2s-/2
(
  -1   0   0    1/2
   0   0   1    1/2
   0   1   0    1/2
)
(
-i2/2 -2/2
2/2 i2/2
)
{d2011|1/2,1/2,1/2}
671/2-x,1/2-z,1/2-y
i2s+/2-2s-/2,2s+/2-i2s-/2
(
  -1   0   0    1/2
   0   0  -1    1/2
   0  -1   0    1/2
)
(
i2/2 -2/2
2/2 -i2/2
)
{d2011|1/2,1/2,1/2}
681/2+x,1/2-z,1/2+y
-2s+/2+i2s-/2,i2s+/2-2s-/2
(
   1   0   0    1/2
   0   0  -1    1/2
   0   1   0    1/2
)
(
-2/2 i2/2
i2/2 -2/2
)
{d4+100|1/2,1/2,1/2}
691/2+z,1/2+y,1/2-x
-2s+/2+2s-/2,-2s+/2-2s-/2
(
   0   0   1    1/2
   0   1   0    1/2
  -1   0   0    1/2
)
(
-2/2 2/2
-2/2 -2/2
)
{d4+010|1/2,1/2,1/2}
701/2+z,1/2-y,1/2+x
i2s+/2+i2s-/2,i2s+/2-i2s-/2
(
   0   0   1    1/2
   0  -1   0    1/2
   1   0   0    1/2
)
(
i2/2 i2/2
i2/2 -i2/2
)
{d2101|1/2,1/2,1/2}
711/2-z,1/2+y,1/2+x
-2s+/2-2s-/2,2s+/2-2s-/2
(
   0   0  -1    1/2
   0   1   0    1/2
   1   0   0    1/2
)
(
-2/2 -2/2
2/2 -2/2
)
{d4-010|1/2,1/2,1/2}
721/2-z,1/2-y,1/2-x
-i2s+/2+i2s-/2,i2s+/2+i2s-/2
(
   0   0  -1    1/2
   0  -1   0    1/2
  -1   0   0    1/2
)
(
-i2/2 i2/2
i2/2 i2/2
)
{d2101|1/2,1/2,1/2}
73-x,-y,-z
-s+,-s-
(
  -1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
-1 0
0 -1
)
{d1|0,0,0}
74x,y,-z
is+,-is-
(
   1   0   0      0
   0   1   0      0
   0   0  -1      0
)
(
i 0
0 -i
)
{dm001|0,0,0}
75x,-y,z
s-,-s+
(
   1   0   0      0
   0  -1   0      0
   0   0   1      0
)
(
0 1
-1 0
)
{dm010|0,0,0}
76-x,y,z
is-,is+
(
  -1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
0 i
i 0
)
{dm100|0,0,0}
77-z,-x,-y
-(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1+i)s-/2
(
   0   0  -1      0
  -1   0   0      0
   0  -1   0      0
)
(
-(1-i)/2 (1+i)/2
-(1-i)/2 -(1+i)/2
)
{d3+111|0,0,0}
78-z,x,y
-(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1-i)s-/2
(
   0   0  -1      0
   1   0   0      0
   0   1   0      0
)
(
-(1+i)/2 (1-i)/2
-(1+i)/2 -(1-i)/2
)
{d3+111|0,0,0}
79z,x,-y
-(1+i)s+/2-(1-i)s-/2,(1+i)s+/2-(1-i)s-/2
(
   0   0   1      0
   1   0   0      0
   0  -1   0      0
)
(
-(1+i)/2 -(1-i)/2
(1+i)/2 -(1-i)/2
)
{d3+111|0,0,0}
80z,-x,y
-(1-i)s+/2-(1+i)s-/2,(1-i)s+/2-(1+i)s-/2
(
   0   0   1      0
  -1   0   0      0
   0   1   0      0
)
(
-(1-i)/2 -(1+i)/2
(1-i)/2 -(1+i)/2
)
{d3+111|0,0,0}
81-y,-z,-x
-(1+i)s+/2-(1+i)s-/2,(1-i)s+/2-(1-i)s-/2
(
   0  -1   0      0
   0   0  -1      0
  -1   0   0      0
)
(
-(1+i)/2 -(1+i)/2
(1-i)/2 -(1-i)/2
)
{d3-111|0,0,0}
82y,-z,x
-(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1+i)s-/2
(
   0   1   0      0
   0   0  -1      0
   1   0   0      0
)
(
-(1-i)/2 (1-i)/2
-(1+i)/2 -(1+i)/2
)
{d3-111|0,0,0}
83-y,z,x
-(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1-i)s-/2
(
   0  -1   0      0
   0   0   1      0
   1   0   0      0
)
(
-(1+i)/2 (1+i)/2
-(1-i)/2 -(1-i)/2
)
{d3-111|0,0,0}
84y,z,-x
-(1-i)s+/2-(1-i)s-/2,(1+i)s+/2-(1+i)s-/2
(
   0   1   0      0
   0   0   1      0
  -1   0   0      0
)
(
-(1-i)/2 -(1-i)/2
(1+i)/2 -(1+i)/2
)
{d3-111|0,0,0}
851/2-y,1/2-x,1/2+z
(1+i)2s-/2,-(1-i)2s+/2
(
   0  -1   0    1/2
  -1   0   0    1/2
   0   0   1    1/2
)
(
0 (1+i)2/2
-(1-i)2/2 0
)
{dm110|1/2,1/2,1/2}
861/2+y,1/2+x,1/2+z
(1-i)2s-/2,-(1+i)2s+/2
(
   0   1   0    1/2
   1   0   0    1/2
   0   0   1    1/2
)
(
0 (1-i)2/2
-(1+i)2/2 0
)
{dm110|1/2,1/2,1/2}
871/2-y,1/2+x,1/2-z
-(1+i)2s+/2,-(1-i)2s-/2
(
   0  -1   0    1/2
   1   0   0    1/2
   0   0  -1    1/2
)
(
-(1+i)2/2 0
0 -(1-i)2/2
)
{d4-001|1/2,1/2,1/2}
881/2+y,1/2-x,1/2-z
-(1-i)2s+/2,-(1+i)2s-/2
(
   0   1   0    1/2
  -1   0   0    1/2
   0   0  -1    1/2
)
(
-(1-i)2/2 0
0 -(1+i)2/2
)
{d4+001|1/2,1/2,1/2}
891/2-x,1/2-z,1/2+y
-2s+/2-i2s-/2,-i2s+/2-2s-/2
(
  -1   0   0    1/2
   0   0  -1    1/2
   0   1   0    1/2
)
(
-2/2 -i2/2
-i2/2 -2/2
)
{d4-100|1/2,1/2,1/2}
901/2+x,1/2-z,1/2-y
-i2s+/2-2s-/2,2s+/2+i2s-/2
(
   1   0   0    1/2
   0   0  -1    1/2
   0  -1   0    1/2
)
(
-i2/2 -2/2
2/2 i2/2
)
{dm011|1/2,1/2,1/2}
911/2+x,1/2+z,1/2+y
i2s+/2-2s-/2,2s+/2-i2s-/2
(
   1   0   0    1/2
   0   0   1    1/2
   0   1   0    1/2
)
(
i2/2 -2/2
2/2 -i2/2
)
{dm011|1/2,1/2,1/2}
921/2-x,1/2+z,1/2-y
-2s+/2+i2s-/2,i2s+/2-2s-/2
(
  -1   0   0    1/2
   0   0   1    1/2
   0  -1   0    1/2
)
(
-2/2 i2/2
i2/2 -2/2
)
{d4+100|1/2,1/2,1/2}
931/2-z,1/2-y,1/2+x
-2s+/2+2s-/2,-2s+/2-2s-/2
(
   0   0  -1    1/2
   0  -1   0    1/2
   1   0   0    1/2
)
(
-2/2 2/2
-2/2 -2/2
)
{d4+010|1/2,1/2,1/2}
941/2-z,1/2+y,1/2-x
i2s+/2+i2s-/2,i2s+/2-i2s-/2
(
   0   0  -1    1/2
   0   1   0    1/2
  -1   0   0    1/2
)
(
i2/2 i2/2
i2/2 -i2/2
)
{dm101|1/2,1/2,1/2}
951/2+z,1/2-y,1/2-x
-2s+/2-2s-/2,2s+/2-2s-/2
(
   0   0   1    1/2
   0  -1   0    1/2
  -1   0   0    1/2
)
(
-2/2 -2/2
2/2 -2/2
)
{d4-010|1/2,1/2,1/2}
961/2+z,1/2+y,1/2+x
-i2s+/2+i2s-/2,i2s+/2+i2s-/2
(
   0   0   1    1/2
   0   1   0    1/2
   1   0   0    1/2
)
(
-i2/2 i2/2
i2/2 i2/2
)
{dm101|1/2,1/2,1/2}


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