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Symmetry operations of the Double Space Group Pn-3m (No. 224)


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}
21/2-x,1/2-y,z
-is+,is-
(
  -1   0   0    1/2
   0  -1   0    1/2
   0   0   1      0
)
(
 -i  0
  0  i
)
{2001|1/2,1/2,0}
31/2-x,y,1/2-z
-s-,s+
(
  -1   0   0    1/2
   0   1   0      0
   0   0  -1    1/2
)
(
  0 -1
  1  0
)
{2010|1/2,0,1/2}
4x,1/2-y,1/2-z
-is-,-is+
(
   1   0   0      0
   0  -1   0    1/2
   0   0  -1    1/2
)
(
  0 -i
 -i  0
)
{2100|0,1/2,1/2}
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,1/2-x,1/2-y
(1+i)s+/2-(1-i)s-/2,(1+i)s+/2+(1-i)s-/2
(
   0   0   1      0
  -1   0   0    1/2
   0  -1   0    1/2
)
(
  (1+i)/2 -(1-i)/2
  (1+i)/2  (1-i)/2
)
{3+111|0,1/2,1/2}
71/2-z,1/2-x,y
(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1-i)s-/2
(
   0   0  -1    1/2
  -1   0   0    1/2
   0   1   0      0
)
(
  (1+i)/2  (1-i)/2
 -(1+i)/2  (1-i)/2
)
{3+111|1/2,1/2,0}
81/2-z,x,1/2-y
(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1+i)s-/2
(
   0   0  -1    1/2
   1   0   0      0
   0  -1   0    1/2
)
(
  (1-i)/2  (1+i)/2
 -(1-i)/2  (1+i)/2
)
{3+111|1/2,0,1/2}
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}
101/2-y,z,1/2-x
(1-i)s+/2-(1-i)s-/2,(1+i)s+/2+(1+i)s-/2
(
   0  -1   0    1/2
   0   0   1      0
  -1   0   0    1/2
)
(
  (1-i)/2 -(1-i)/2
  (1+i)/2  (1+i)/2
)
{3-111|1/2,0,1/2}
11y,1/2-z,1/2-x
(1+i)s+/2-(1+i)s-/2,(1-i)s+/2+(1-i)s-/2
(
   0   1   0      0
   0   0  -1    1/2
  -1   0   0    1/2
)
(
  (1+i)/2 -(1+i)/2
  (1-i)/2  (1-i)/2
)
{3-111|0,1/2,1/2}
121/2-y,1/2-z,x
(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1+i)s-/2
(
   0  -1   0    1/2
   0   0  -1    1/2
   1   0   0      0
)
(
  (1-i)/2  (1-i)/2
 -(1+i)/2  (1+i)/2
)
{3-111|1/2,1/2,0}
131/2+y,1/2+x,-z
-(1+i)√2s-/2,(1-i)√2s+/2
(
   0   1   0    1/2
   1   0   0    1/2
   0   0  -1      0
)
(
  0 -(1+i)√2/2
  (1-i)√2/2  0
)
{2110|1/2,1/2,0}
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}
151/2+y,-x,1/2+z
(1+i)√2s+/2,(1-i)√2s-/2
(
   0   1   0    1/2
  -1   0   0      0
   0   0   1    1/2
)
(
 (1+i)√2/2  0
  0 (1-i)√2/2
)
{4-001|1/2,0,1/2}
16-y,1/2+x,1/2+z
(1-i)√2s+/2,(1+i)√2s-/2
(
   0  -1   0      0
   1   0   0    1/2
   0   0   1    1/2
)
(
 (1-i)√2/2  0
  0 (1+i)√2/2
)
{4+001|0,1/2,1/2}
171/2+x,1/2+z,-y
√2s+/2+i√2s-/2,i√2s+/2+√2s-/2
(
   1   0   0    1/2
   0   0   1    1/2
   0  -1   0      0
)
(
  √2/2 i√2/2
 i√2/2  √2/2
)
{4-100|1/2,1/2,0}
18-x,1/2+z,1/2+y
i√2s+/2+√2s-/2,-√2s+/2-i√2s-/2
(
  -1   0   0      0
   0   0   1    1/2
   0   1   0    1/2
)
(
  i√2/2  √2/2
  -√2/2 -i√2/2
)
{2011|0,1/2,1/2}
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}
201/2+x,-z,1/2+y
√2s+/2-i√2s-/2,-i√2s+/2+√2s-/2
(
   1   0   0    1/2
   0   0  -1      0
   0   1   0    1/2
)
(
  √2/2 -i√2/2
 -i√2/2  √2/2
)
{4+100|1/2,0,1/2}
211/2+z,1/2+y,-x
√2s+/2-√2s-/2,√2s+/2+√2s-/2
(
   0   0   1    1/2
   0   1   0    1/2
  -1   0   0      0
)
(
  √2/2 -√2/2
  √2/2  √2/2
)
{4+010|1/2,1/2,0}
221/2+z,-y,1/2+x
-i√2s+/2-i√2s-/2,-i√2s+/2+i√2s-/2
(
   0   0   1    1/2
   0  -1   0      0
   1   0   0    1/2
)
(
 -i√2/2 -i√2/2
 -i√2/2  i√2/2
)
{2101|1/2,0,1/2}
23-z,1/2+y,1/2+x
√2s+/2+√2s-/2,-√2s+/2+√2s-/2
(
   0   0  -1      0
   0   1   0    1/2
   1   0   0    1/2
)
(
  √2/2  √2/2
 -√2/2  √2/2
)
{4-010|0,1/2,1/2}
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}
261/2+x,1/2+y,-z
-is+,is-
(
   1   0   0    1/2
   0   1   0    1/2
   0   0  -1      0
)
(
 -i  0
  0  i
)
{m001|1/2,1/2,0}
271/2+x,-y,1/2+z
-s-,s+
(
   1   0   0    1/2
   0  -1   0      0
   0   0   1    1/2
)
(
  0 -1
  1  0
)
{m010|1/2,0,1/2}
28-x,1/2+y,1/2+z
-is-,-is+
(
  -1   0   0      0
   0   1   0    1/2
   0   0   1    1/2
)
(
  0 -i
 -i  0
)
{m100|0,1/2,1/2}
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,1/2+x,1/2+y
(1+i)s+/2-(1-i)s-/2,(1+i)s+/2+(1-i)s-/2
(
   0   0  -1      0
   1   0   0    1/2
   0   1   0    1/2
)
(
  (1+i)/2 -(1-i)/2
  (1+i)/2  (1-i)/2
)
{3+111|0,1/2,1/2}
311/2+z,1/2+x,-y
(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1-i)s-/2
(
   0   0   1    1/2
   1   0   0    1/2
   0  -1   0      0
)
(
  (1+i)/2  (1-i)/2
 -(1+i)/2  (1-i)/2
)
{3+111|1/2,1/2,0}
321/2+z,-x,1/2+y
(1-i)s+/2+(1+i)s-/2,-(1-i)s+/2+(1+i)s-/2
(
   0   0   1    1/2
  -1   0   0      0
   0   1   0    1/2
)
(
  (1-i)/2  (1+i)/2
 -(1-i)/2  (1+i)/2
)
{3+111|1/2,0,1/2}
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}
341/2+y,-z,1/2+x
(1-i)s+/2-(1-i)s-/2,(1+i)s+/2+(1+i)s-/2
(
   0   1   0    1/2
   0   0  -1      0
   1   0   0    1/2
)
(
  (1-i)/2 -(1-i)/2
  (1+i)/2  (1+i)/2
)
{3-111|1/2,0,1/2}
35-y,1/2+z,1/2+x
(1+i)s+/2-(1+i)s-/2,(1-i)s+/2+(1-i)s-/2
(
   0  -1   0      0
   0   0   1    1/2
   1   0   0    1/2
)
(
  (1+i)/2 -(1+i)/2
  (1-i)/2  (1-i)/2
)
{3-111|0,1/2,1/2}
361/2+y,1/2+z,-x
(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2+(1+i)s-/2
(
   0   1   0    1/2
   0   0   1    1/2
  -1   0   0      0
)
(
  (1-i)/2  (1-i)/2
 -(1+i)/2  (1+i)/2
)
{3-111|1/2,1/2,0}
371/2-y,1/2-x,z
-(1+i)√2s-/2,(1-i)√2s+/2
(
   0  -1   0    1/2
  -1   0   0    1/2
   0   0   1      0
)
(
  0 -(1+i)√2/2
  (1-i)√2/2  0
)
{m110|1/2,1/2,0}
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}
391/2-y,x,1/2-z
(1+i)√2s+/2,(1-i)√2s-/2
(
   0  -1   0    1/2
   1   0   0      0
   0   0  -1    1/2
)
(
 (1+i)√2/2  0
  0 (1-i)√2/2
)
{4-001|1/2,0,1/2}
40y,1/2-x,1/2-z
(1-i)√2s+/2,(1+i)√2s-/2
(
   0   1   0      0
  -1   0   0    1/2
   0   0  -1    1/2
)
(
 (1-i)√2/2  0
  0 (1+i)√2/2
)
{4+001|0,1/2,1/2}
411/2-x,1/2-z,y
√2s+/2+i√2s-/2,i√2s+/2+√2s-/2
(
  -1   0   0    1/2
   0   0  -1    1/2
   0   1   0      0
)
(
  √2/2 i√2/2
 i√2/2  √2/2
)
{4-100|1/2,1/2,0}
42x,1/2-z,1/2-y
i√2s+/2+√2s-/2,-√2s+/2-i√2s-/2
(
   1   0   0      0
   0   0  -1    1/2
   0  -1   0    1/2
)
(
  i√2/2  √2/2
  -√2/2 -i√2/2
)
{m011|0,1/2,1/2}
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}
441/2-x,z,1/2-y
√2s+/2-i√2s-/2,-i√2s+/2+√2s-/2
(
  -1   0   0    1/2
   0   0   1      0
   0  -1   0    1/2
)
(
  √2/2 -i√2/2
 -i√2/2  √2/2
)
{4+100|1/2,0,1/2}
451/2-z,1/2-y,x
√2s+/2-√2s-/2,√2s+/2+√2s-/2
(
   0   0  -1    1/2
   0  -1   0    1/2
   1   0   0      0
)
(
  √2/2 -√2/2
  √2/2  √2/2
)
{4+010|1/2,1/2,0}
461/2-z,y,1/2-x
-i√2s+/2-i√2s-/2,-i√2s+/2+i√2s-/2
(
   0   0  -1    1/2
   0   1   0      0
  -1   0   0    1/2
)
(
 -i√2/2 -i√2/2
 -i√2/2  i√2/2
)
{m101|1/2,0,1/2}
47z,1/2-y,1/2-x
√2s+/2+√2s-/2,-√2s+/2+√2s-/2
(
   0   0   1      0
   0  -1   0    1/2
  -1   0   0    1/2
)
(
  √2/2  √2/2
 -√2/2  √2/2
)
{4-010|0,1/2,1/2}
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}
501/2-x,1/2-y,z
is+,-is-
(
  -1   0   0    1/2
   0  -1   0    1/2
   0   0   1      0
)
(
  i  0
  0 -i
)
{d2001|1/2,1/2,0}
511/2-x,y,1/2-z
s-,-s+
(
  -1   0   0    1/2
   0   1   0      0
   0   0  -1    1/2
)
(
  0  1
 -1  0
)
{d2010|1/2,0,1/2}
52x,1/2-y,1/2-z
is-,is+
(
   1   0   0      0
   0  -1   0    1/2
   0   0  -1    1/2
)
(
 0 i
 i 0
)
{d2100|0,1/2,1/2}
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,1/2-x,1/2-y
-(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1-i)s-/2
(
   0   0   1      0
  -1   0   0    1/2
   0  -1   0    1/2
)
(
 -(1+i)/2  (1-i)/2
 -(1+i)/2 -(1-i)/2
)
{d3+111|0,1/2,1/2}
551/2-z,1/2-x,y
-(1+i)s+/2-(1-i)s-/2,(1+i)s+/2-(1-i)s-/2
(
   0   0  -1    1/2
  -1   0   0    1/2
   0   1   0      0
)
(
 -(1+i)/2 -(1-i)/2
  (1+i)/2 -(1-i)/2
)
{d3+111|1/2,1/2,0}
561/2-z,x,1/2-y
-(1-i)s+/2-(1+i)s-/2,(1-i)s+/2-(1+i)s-/2
(
   0   0  -1    1/2
   1   0   0      0
   0  -1   0    1/2
)
(
 -(1-i)/2 -(1+i)/2
  (1-i)/2 -(1+i)/2
)
{d3+111|1/2,0,1/2}
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}
581/2-y,z,1/2-x
-(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1+i)s-/2
(
   0  -1   0    1/2
   0   0   1      0
  -1   0   0    1/2
)
(
 -(1-i)/2  (1-i)/2
 -(1+i)/2 -(1+i)/2
)
{d3-111|1/2,0,1/2}
59y,1/2-z,1/2-x
-(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1-i)s-/2
(
   0   1   0      0
   0   0  -1    1/2
  -1   0   0    1/2
)
(
 -(1+i)/2  (1+i)/2
 -(1-i)/2 -(1-i)/2
)
{d3-111|0,1/2,1/2}
601/2-y,1/2-z,x
-(1-i)s+/2-(1-i)s-/2,(1+i)s+/2-(1+i)s-/2
(
   0  -1   0    1/2
   0   0  -1    1/2
   1   0   0      0
)
(
 -(1-i)/2 -(1-i)/2
  (1+i)/2 -(1+i)/2
)
{d3-111|1/2,1/2,0}
611/2+y,1/2+x,-z
(1+i)√2s-/2,-(1-i)√2s+/2
(
   0   1   0    1/2
   1   0   0    1/2
   0   0  -1      0
)
(
  0  (1+i)√2/2
 -(1-i)√2/2  0
)
{d2110|1/2,1/2,0}
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}
631/2+y,-x,1/2+z
-(1+i)√2s+/2,-(1-i)√2s-/2
(
   0   1   0    1/2
  -1   0   0      0
   0   0   1    1/2
)
(
 -(1+i)√2/2  0
  0 -(1-i)√2/2
)
{d4-001|1/2,0,1/2}
64-y,1/2+x,1/2+z
-(1-i)√2s+/2,-(1+i)√2s-/2
(
   0  -1   0      0
   1   0   0    1/2
   0   0   1    1/2
)
(
 -(1-i)√2/2  0
  0 -(1+i)√2/2
)
{d4+001|0,1/2,1/2}
651/2+x,1/2+z,-y
-√2s+/2-i√2s-/2,-i√2s+/2-√2s-/2
(
   1   0   0    1/2
   0   0   1    1/2
   0  -1   0      0
)
(
  -√2/2 -i√2/2
 -i√2/2  -√2/2
)
{d4-100|1/2,1/2,0}
66-x,1/2+z,1/2+y
-i√2s+/2-√2s-/2,√2s+/2+i√2s-/2
(
  -1   0   0      0
   0   0   1    1/2
   0   1   0    1/2
)
(
 -i√2/2  -√2/2
  √2/2  i√2/2
)
{d2011|0,1/2,1/2}
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}
681/2+x,-z,1/2+y
-√2s+/2+i√2s-/2,i√2s+/2-√2s-/2
(
   1   0   0    1/2
   0   0  -1      0
   0   1   0    1/2
)
(
 -√2/2 i√2/2
 i√2/2 -√2/2
)
{d4+100|1/2,0,1/2}
691/2+z,1/2+y,-x
-√2s+/2+√2s-/2,-√2s+/2-√2s-/2
(
   0   0   1    1/2
   0   1   0    1/2
  -1   0   0      0
)
(
 -√2/2  √2/2
 -√2/2 -√2/2
)
{d4+010|1/2,1/2,0}
701/2+z,-y,1/2+x
i√2s+/2+i√2s-/2,i√2s+/2-i√2s-/2
(
   0   0   1    1/2
   0  -1   0      0
   1   0   0    1/2
)
(
  i√2/2  i√2/2
  i√2/2 -i√2/2
)
{d2101|1/2,0,1/2}
71-z,1/2+y,1/2+x
-√2s+/2-√2s-/2,√2s+/2-√2s-/2
(
   0   0  -1      0
   0   1   0    1/2
   1   0   0    1/2
)
(
 -√2/2 -√2/2
  √2/2 -√2/2
)
{d4-010|0,1/2,1/2}
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}
741/2+x,1/2+y,-z
is+,-is-
(
   1   0   0    1/2
   0   1   0    1/2
   0   0  -1      0
)
(
  i  0
  0 -i
)
{dm001|1/2,1/2,0}
751/2+x,-y,1/2+z
s-,-s+
(
   1   0   0    1/2
   0  -1   0      0
   0   0   1    1/2
)
(
  0  1
 -1  0
)
{dm010|1/2,0,1/2}
76-x,1/2+y,1/2+z
is-,is+
(
  -1   0   0      0
   0   1   0    1/2
   0   0   1    1/2
)
(
 0 i
 i 0
)
{dm100|0,1/2,1/2}
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,1/2+x,1/2+y
-(1+i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1-i)s-/2
(
   0   0  -1      0
   1   0   0    1/2
   0   1   0    1/2
)
(
 -(1+i)/2  (1-i)/2
 -(1+i)/2 -(1-i)/2
)
{d3+111|0,1/2,1/2}
791/2+z,1/2+x,-y
-(1+i)s+/2-(1-i)s-/2,(1+i)s+/2-(1-i)s-/2
(
   0   0   1    1/2
   1   0   0    1/2
   0  -1   0      0
)
(
 -(1+i)/2 -(1-i)/2
  (1+i)/2 -(1-i)/2
)
{d3+111|1/2,1/2,0}
801/2+z,-x,1/2+y
-(1-i)s+/2-(1+i)s-/2,(1-i)s+/2-(1+i)s-/2
(
   0   0   1    1/2
  -1   0   0      0
   0   1   0    1/2
)
(
 -(1-i)/2 -(1+i)/2
  (1-i)/2 -(1+i)/2
)
{d3+111|1/2,0,1/2}
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}
821/2+y,-z,1/2+x
-(1-i)s+/2+(1-i)s-/2,-(1+i)s+/2-(1+i)s-/2
(
   0   1   0    1/2
   0   0  -1      0
   1   0   0    1/2
)
(
 -(1-i)/2  (1-i)/2
 -(1+i)/2 -(1+i)/2
)
{d3-111|1/2,0,1/2}
83-y,1/2+z,1/2+x
-(1+i)s+/2+(1+i)s-/2,-(1-i)s+/2-(1-i)s-/2
(
   0  -1   0      0
   0   0   1    1/2
   1   0   0    1/2
)
(
 -(1+i)/2  (1+i)/2
 -(1-i)/2 -(1-i)/2
)
{d3-111|0,1/2,1/2}
841/2+y,1/2+z,-x
-(1-i)s+/2-(1-i)s-/2,(1+i)s+/2-(1+i)s-/2
(
   0   1   0    1/2
   0   0   1    1/2
  -1   0   0      0
)
(
 -(1-i)/2 -(1-i)/2
  (1+i)/2 -(1+i)/2
)
{d3-111|1/2,1/2,0}
851/2-y,1/2-x,z
(1+i)√2s-/2,-(1-i)√2s+/2
(
   0  -1   0    1/2
  -1   0   0    1/2
   0   0   1      0
)
(
  0  (1+i)√2/2
 -(1-i)√2/2  0
)
{dm110|1/2,1/2,0}
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}
871/2-y,x,1/2-z
-(1+i)√2s+/2,-(1-i)√2s-/2
(
   0  -1   0    1/2
   1   0   0      0
   0   0  -1    1/2
)
(
 -(1+i)√2/2  0
  0 -(1-i)√2/2
)
{d4-001|1/2,0,1/2}
88y,1/2-x,1/2-z
-(1-i)√2s+/2,-(1+i)√2s-/2
(
   0   1   0      0
  -1   0   0    1/2
   0   0  -1    1/2
)
(
 -(1-i)√2/2  0
  0 -(1+i)√2/2
)
{d4+001|0,1/2,1/2}
891/2-x,1/2-z,y
-√2s+/2-i√2s-/2,-i√2s+/2-√2s-/2
(
  -1   0   0    1/2
   0   0  -1    1/2
   0   1   0      0
)
(
  -√2/2 -i√2/2
 -i√2/2  -√2/2
)
{d4-100|1/2,1/2,0}
90x,1/2-z,1/2-y
-i√2s+/2-√2s-/2,√2s+/2+i√2s-/2
(
   1   0   0      0
   0   0  -1    1/2
   0  -1   0    1/2
)
(
 -i√2/2  -√2/2
  √2/2  i√2/2
)
{dm011|0,1/2,1/2}
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}
921/2-x,z,1/2-y
-√2s+/2+i√2s-/2,i√2s+/2-√2s-/2
(
  -1   0   0    1/2
   0   0   1      0
   0  -1   0    1/2
)
(
 -√2/2 i√2/2
 i√2/2 -√2/2
)
{d4+100|1/2,0,1/2}
931/2-z,1/2-y,x
-√2s+/2+√2s-/2,-√2s+/2-√2s-/2
(
   0   0  -1    1/2
   0  -1   0    1/2
   1   0   0      0
)
(
 -√2/2  √2/2
 -√2/2 -√2/2
)
{d4+010|1/2,1/2,0}
941/2-z,y,1/2-x
i√2s+/2+i√2s-/2,i√2s+/2-i√2s-/2
(
   0   0  -1    1/2
   0   1   0      0
  -1   0   0    1/2
)
(
  i√2/2  i√2/2
  i√2/2 -i√2/2
)
{dm101|1/2,0,1/2}
95z,1/2-y,1/2-x
-√2s+/2-√2s-/2,√2s+/2-√2s-/2
(
   0   0   1      0
   0  -1   0    1/2
  -1   0   0    1/2
)
(
 -√2/2 -√2/2
  √2/2 -√2/2
)
{d4-010|0,1/2,1/2}
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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