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Symmetry operations of the Double Space Group Pm-3m (No. 221)


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}
13y,x,-z
-(1+i)√2s-/2,(1-i)√2s+/2
(
   0   1   0      0
   1   0   0      0
   0   0  -1      0
)
(
  0 -(1+i)√2/2
  (1-i)√2/2  0
)
{2110|0,0,0}
14-y,-x,-z
-(1-i)√2s-/2,(1+i)√2s+/2
(
   0  -1   0      0
  -1   0   0      0
   0   0  -1      0
)
(
  0 -(1-i)√2/2
  (1+i)√2/2  0
)
{2110|0,0,0}
15y,-x,z
(1+i)√2s+/2,(1-i)√2s-/2
(
   0   1   0      0
  -1   0   0      0
   0   0   1      0
)
(
 (1+i)√2/2  0
  0 (1-i)√2/2
)
{4-001|0,0,0}
16-y,x,z
(1-i)√2s+/2,(1+i)√2s-/2
(
   0  -1   0      0
   1   0   0      0
   0   0   1      0
)
(
 (1-i)√2/2  0
  0 (1+i)√2/2
)
{4+001|0,0,0}
17x,z,-y
√2s+/2+i√2s-/2,i√2s+/2+√2s-/2
(
   1   0   0      0
   0   0   1      0
   0  -1   0      0
)
(
  √2/2 i√2/2
 i√2/2  √2/2
)
{4-100|0,0,0}
18-x,z,y
i√2s+/2+√2s-/2,-√2s+/2-i√2s-/2
(
  -1   0   0      0
   0   0   1      0
   0   1   0      0
)
(
  i√2/2  √2/2
  -√2/2 -i√2/2
)
{2011|0,0,0}
19-x,-z,-y
-i√2s+/2+√2s-/2,-√2s+/2+i√2s-/2
(
  -1   0   0      0
   0   0  -1      0
   0  -1   0      0
)
(
 -i√2/2  √2/2
  -√2/2  i√2/2
)
{2011|0,0,0}
20x,-z,y
√2s+/2-i√2s-/2,-i√2s+/2+√2s-/2
(
   1   0   0      0
   0   0  -1      0
   0   1   0      0
)
(
  √2/2 -i√2/2
 -i√2/2  √2/2
)
{4+100|0,0,0}
21z,y,-x
√2s+/2-√2s-/2,√2s+/2+√2s-/2
(
   0   0   1      0
   0   1   0      0
  -1   0   0      0
)
(
  √2/2 -√2/2
  √2/2  √2/2
)
{4+010|0,0,0}
22z,-y,x
-i√2s+/2-i√2s-/2,-i√2s+/2+i√2s-/2
(
   0   0   1      0
   0  -1   0      0
   1   0   0      0
)
(
 -i√2/2 -i√2/2
 -i√2/2  i√2/2
)
{2101|0,0,0}
23-z,y,x
√2s+/2+√2s-/2,-√2s+/2+√2s-/2
(
   0   0  -1      0
   0   1   0      0
   1   0   0      0
)
(
  √2/2  √2/2
 -√2/2  √2/2
)
{4-010|0,0,0}
24-z,-y,-x
i√2s+/2-i√2s-/2,-i√2s+/2-i√2s-/2
(
   0   0  -1      0
   0  -1   0      0
  -1   0   0      0
)
(
  i√2/2 -i√2/2
 -i√2/2 -i√2/2
)
{2101|0,0,0}
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}
37-y,-x,z
-(1+i)√2s-/2,(1-i)√2s+/2
(
   0  -1   0      0
  -1   0   0      0
   0   0   1      0
)
(
  0 -(1+i)√2/2
  (1-i)√2/2  0
)
{m110|0,0,0}
38y,x,z
-(1-i)√2s-/2,(1+i)√2s+/2
(
   0   1   0      0
   1   0   0      0
   0   0   1      0
)
(
  0 -(1-i)√2/2
  (1+i)√2/2  0
)
{m110|0,0,0}
39-y,x,-z
(1+i)√2s+/2,(1-i)√2s-/2
(
   0  -1   0      0
   1   0   0      0
   0   0  -1      0
)
(
 (1+i)√2/2  0
  0 (1-i)√2/2
)
{4-001|0,0,0}
40y,-x,-z
(1-i)√2s+/2,(1+i)√2s-/2
(
   0   1   0      0
  -1   0   0      0
   0   0  -1      0
)
(
 (1-i)√2/2  0
  0 (1+i)√2/2
)
{4+001|0,0,0}
41-x,-z,y
√2s+/2+i√2s-/2,i√2s+/2+√2s-/2
(
  -1   0   0      0
   0   0  -1      0
   0   1   0      0
)
(
  √2/2 i√2/2
 i√2/2  √2/2
)
{4-100|0,0,0}
42x,-z,-y
i√2s+/2+√2s-/2,-√2s+/2-i√2s-/2
(
   1   0   0      0
   0   0  -1      0
   0  -1   0      0
)
(
  i√2/2  √2/2
  -√2/2 -i√2/2
)
{m011|0,0,0}
43x,z,y
-i√2s+/2+√2s-/2,-√2s+/2+i√2s-/2
(
   1   0   0      0
   0   0   1      0
   0   1   0      0
)
(
 -i√2/2  √2/2
  -√2/2  i√2/2
)
{m011|0,0,0}
44-x,z,-y
√2s+/2-i√2s-/2,-i√2s+/2+√2s-/2
(
  -1   0   0      0
   0   0   1      0
   0  -1   0      0
)
(
  √2/2 -i√2/2
 -i√2/2  √2/2
)
{4+100|0,0,0}
45-z,-y,x
√2s+/2-√2s-/2,√2s+/2+√2s-/2
(
   0   0  -1      0
   0  -1   0      0
   1   0   0      0
)
(
  √2/2 -√2/2
  √2/2  √2/2
)
{4+010|0,0,0}
46-z,y,-x
-i√2s+/2-i√2s-/2,-i√2s+/2+i√2s-/2
(
   0   0  -1      0
   0   1   0      0
  -1   0   0      0
)
(
 -i√2/2 -i√2/2
 -i√2/2  i√2/2
)
{m101|0,0,0}
47z,-y,-x
√2s+/2+√2s-/2,-√2s+/2+√2s-/2
(
   0   0   1      0
   0  -1   0      0
  -1   0   0      0
)
(
  √2/2  √2/2
 -√2/2  √2/2
)
{4-010|0,0,0}
48z,y,x
i√2s+/2-i√2s-/2,-i√2s+/2-i√2s-/2
(
   0   0   1      0
   0   1   0      0
   1   0   0      0
)
(
  i√2/2 -i√2/2
 -i√2/2 -i√2/2
)
{m101|0,0,0}
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}
61y,x,-z
(1+i)√2s-/2,-(1-i)√2s+/2
(
   0   1   0      0
   1   0   0      0
   0   0  -1      0
)
(
  0  (1+i)√2/2
 -(1-i)√2/2  0
)
{d2110|0,0,0}
62-y,-x,-z
(1-i)√2s-/2,-(1+i)√2s+/2
(
   0  -1   0      0
  -1   0   0      0
   0   0  -1      0
)
(
  0  (1-i)√2/2
 -(1+i)√2/2  0
)
{d2110|0,0,0}
63y,-x,z
-(1+i)√2s+/2,-(1-i)√2s-/2
(
   0   1   0      0
  -1   0   0      0
   0   0   1      0
)
(
 -(1+i)√2/2  0
  0 -(1-i)√2/2
)
{d4-001|0,0,0}
64-y,x,z
-(1-i)√2s+/2,-(1+i)√2s-/2
(
   0  -1   0      0
   1   0   0      0
   0   0   1      0
)
(
 -(1-i)√2/2  0
  0 -(1+i)√2/2
)
{d4+001|0,0,0}
65x,z,-y
-√2s+/2-i√2s-/2,-i√2s+/2-√2s-/2
(
   1   0   0      0
   0   0   1      0
   0  -1   0      0
)
(
  -√2/2 -i√2/2
 -i√2/2  -√2/2
)
{d4-100|0,0,0}
66-x,z,y
-i√2s+/2-√2s-/2,√2s+/2+i√2s-/2
(
  -1   0   0      0
   0   0   1      0
   0   1   0      0
)
(
 -i√2/2  -√2/2
  √2/2  i√2/2
)
{d2011|0,0,0}
67-x,-z,-y
i√2s+/2-√2s-/2,√2s+/2-i√2s-/2
(
  -1   0   0      0
   0   0  -1      0
   0  -1   0      0
)
(
  i√2/2  -√2/2
  √2/2 -i√2/2
)
{d2011|0,0,0}
68x,-z,y
-√2s+/2+i√2s-/2,i√2s+/2-√2s-/2
(
   1   0   0      0
   0   0  -1      0
   0   1   0      0
)
(
 -√2/2 i√2/2
 i√2/2 -√2/2
)
{d4+100|0,0,0}
69z,y,-x
-√2s+/2+√2s-/2,-√2s+/2-√2s-/2
(
   0   0   1      0
   0   1   0      0
  -1   0   0      0
)
(
 -√2/2  √2/2
 -√2/2 -√2/2
)
{d4+010|0,0,0}
70z,-y,x
i√2s+/2+i√2s-/2,i√2s+/2-i√2s-/2
(
   0   0   1      0
   0  -1   0      0
   1   0   0      0
)
(
  i√2/2  i√2/2
  i√2/2 -i√2/2
)
{d2101|0,0,0}
71-z,y,x
-√2s+/2-√2s-/2,√2s+/2-√2s-/2
(
   0   0  -1      0
   0   1   0      0
   1   0   0      0
)
(
 -√2/2 -√2/2
  √2/2 -√2/2
)
{d4-010|0,0,0}
72-z,-y,-x
-i√2s+/2+i√2s-/2,i√2s+/2+i√2s-/2
(
   0   0  -1      0
   0  -1   0      0
  -1   0   0      0
)
(
 -i√2/2  i√2/2
  i√2/2  i√2/2
)
{d2101|0,0,0}
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}
85-y,-x,z
(1+i)√2s-/2,-(1-i)√2s+/2
(
   0  -1   0      0
  -1   0   0      0
   0   0   1      0
)
(
  0  (1+i)√2/2
 -(1-i)√2/2  0
)
{dm110|0,0,0}
86y,x,z
(1-i)√2s-/2,-(1+i)√2s+/2
(
   0   1   0      0
   1   0   0      0
   0   0   1      0
)
(
  0  (1-i)√2/2
 -(1+i)√2/2  0
)
{dm110|0,0,0}
87-y,x,-z
-(1+i)√2s+/2,-(1-i)√2s-/2
(
   0  -1   0      0
   1   0   0      0
   0   0  -1      0
)
(
 -(1+i)√2/2  0
  0 -(1-i)√2/2
)
{d4-001|0,0,0}
88y,-x,-z
-(1-i)√2s+/2,-(1+i)√2s-/2
(
   0   1   0      0
  -1   0   0      0
   0   0  -1      0
)
(
 -(1-i)√2/2  0
  0 -(1+i)√2/2
)
{d4+001|0,0,0}
89-x,-z,y
-√2s+/2-i√2s-/2,-i√2s+/2-√2s-/2
(
  -1   0   0      0
   0   0  -1      0
   0   1   0      0
)
(
  -√2/2 -i√2/2
 -i√2/2  -√2/2
)
{d4-100|0,0,0}
90x,-z,-y
-i√2s+/2-√2s-/2,√2s+/2+i√2s-/2
(
   1   0   0      0
   0   0  -1      0
   0  -1   0      0
)
(
 -i√2/2  -√2/2
  √2/2  i√2/2
)
{dm011|0,0,0}
91x,z,y
i√2s+/2-√2s-/2,√2s+/2-i√2s-/2
(
   1   0   0      0
   0   0   1      0
   0   1   0      0
)
(
  i√2/2  -√2/2
  √2/2 -i√2/2
)
{dm011|0,0,0}
92-x,z,-y
-√2s+/2+i√2s-/2,i√2s+/2-√2s-/2
(
  -1   0   0      0
   0   0   1      0
   0  -1   0      0
)
(
 -√2/2 i√2/2
 i√2/2 -√2/2
)
{d4+100|0,0,0}
93-z,-y,x
-√2s+/2+√2s-/2,-√2s+/2-√2s-/2
(
   0   0  -1      0
   0  -1   0      0
   1   0   0      0
)
(
 -√2/2  √2/2
 -√2/2 -√2/2
)
{d4+010|0,0,0}
94-z,y,-x
i√2s+/2+i√2s-/2,i√2s+/2-i√2s-/2
(
   0   0  -1      0
   0   1   0      0
  -1   0   0      0
)
(
  i√2/2  i√2/2
  i√2/2 -i√2/2
)
{dm101|0,0,0}
95z,-y,-x
-√2s+/2-√2s-/2,√2s+/2-√2s-/2
(
   0   0   1      0
   0  -1   0      0
  -1   0   0      0
)
(
 -√2/2 -√2/2
  √2/2 -√2/2
)
{d4-010|0,0,0}
96z,y,x
-i√2s+/2+i√2s-/2,i√2s+/2+i√2s-/2
(
   0   0   1      0
   0   1   0      0
   1   0   0      0
)
(
 -i√2/2  i√2/2
  i√2/2  i√2/2
)
{dm101|0,0,0}


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