N  Matrix presentation  Seitz symbol  GM_{1}^{+}  GM_{1}^{}  GM_{2}^{+}  GM_{2}^{}  GM_{3}^{+}  GM_{3}^{}  GM_{4}^{+}  GM_{4}^{}  GM_{5}^{+}  GM_{5}^{}  GM_{6}  GM_{7}  GM_{8}  GM_{9}  GM_{10}  GM_{11} 
1    1                 1  0  0  0  0  1  0  0  0  0  1  0  0  0  0  1 
 
  1  0  0  0  0  1  0  0  0  0  1  0  0  0  0  1 
 

2    2_{001}                 i  0  0  0  0  i  0  0  0  0  i  0  0  0  0  i 
 
  i  0  0  0  0  i  0  0  0  0  i  0  0  0  0  i 
 

3    2_{010}                 0  1  0  0  1  0  0  0  0  0  0  i  0  0  i  0 
 
  0  1  0  0  1  0  0  0  0  0  0  i  0  0  i  0 
 

4    2_{100}                 0  i  0  0  i  0  0  0  0  0  0  1  0  0  1  0 
 
  0  i  0  0  i  0  0  0  0  0  0  1  0  0  1  0 
 

5    (1i)/2  (1+i)/2  (1i)/2  (1+i)/2 
 
 3^{+}_{111}             e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2 
 
  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2 
 

6    (1+i)/2  (1i)/2  (1+i)/2  (1i)/2 
 
 3^{+}_{111}             e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2 
 
  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2 
 

7    (1+i)/2  (1i)/2  (1+i)/2  (1i)/2 
 
 3^{+}_{111}             e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2 
 
  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2 
 

8    (1i)/2  (1+i)/2  (1i)/2  (1+i)/2 
 
 3^{+}_{111}             e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2 
 
  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2 
 

9    (1+i)/2  (1+i)/2  (1i)/2  (1i)/2 
 
 3^{}_{111}             e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2 
 
  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2 
 

10    (1i)/2  (1i)/2  (1+i)/2  (1+i)/2 
 
 3^{}_{111}             e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2 
 
  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2 
 

11    (1+i)/2  (1+i)/2  (1i)/2  (1i)/2 
 
 3^{}_{111}             e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2 
 
  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2 
 

12    (1i)/2  (1i)/2  (1+i)/2  (1+i)/2 
 
 3^{}_{111}             e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2 
 
  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2 
 

13    2_{110}                 0  0  1  0  0  0  0  1  1  0  0  0  0  1  0  0 
 
  0  0  1  0  0  0  0  1  1  0  0  0  0  1  0  0 
 

14    2_{110}                 0  0  i  0  0  0  0  i  i  0  0  0  0  i  0  0 
 
  0  0  i  0  0  0  0  i  i  0  0  0  0  i  0  0 
 

15    4^{}_{001}                 0  0  0  i  0  0  i  0  0  1  0  0  1  0  0  0 
 
  0  0  0  i  0  0  i  0  0  1  0  0  1  0  0  0 
 

16    4^{+}_{001}                 0  0  0  1  0  0  1  0  0  i  0  0  i  0  0  0 
 
  0  0  0  1  0  0  1  0  0  i  0  0  i  0  0  0 
 

17    4^{}_{100}                 0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0 
 
  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0 
 

18    2_{011}                 0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0 
 
  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0 
 

19    2_{011}                 0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0 
 
  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0 
 

20    4^{+}_{100}                 0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0 
 
  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0 
 

21    4^{+}_{010}                 0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0 
 
  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0 
 

22    i√2/2  i√2/2  i√2/2  i√2/2 
 
 2_{101}                 0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0 
 
  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0 
 

23    4^{}_{010}                 0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0 
 
  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0 
 

24    i√2/2  i√2/2  i√2/2  i√2/2 
 
 2_{101}                 0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0 
 
  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0 
 

25    1_{}                 1  0  0  0  0  1  0  0  0  0  1  0  0  0  0  1 
 
  1  0  0  0  0  1  0  0  0  0  1  0  0  0  0  1 
 

26    m_{001}                 i  0  0  0  0  i  0  0  0  0  i  0  0  0  0  i 
 
  i  0  0  0  0  i  0  0  0  0  i  0  0  0  0  i 
 

27    m_{010}                 0  1  0  0  1  0  0  0  0  0  0  i  0  0  i  0 
 
  0  1  0  0  1  0  0  0  0  0  0  i  0  0  i  0 
 

28    m_{100}                 0  i  0  0  i  0  0  0  0  0  0  1  0  0  1  0 
 
  0  i  0  0  i  0  0  0  0  0  0  1  0  0  1  0 
 

29    (1i)/2  (1+i)/2  (1i)/2  (1+i)/2 
 
 3^{+}_{111}             e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2 
 
  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2 
 

30    (1+i)/2  (1i)/2  (1+i)/2  (1i)/2 
 
 3^{+}_{111}             e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2 
 
  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2 
 

31    (1+i)/2  (1i)/2  (1+i)/2  (1i)/2 
 
 3^{+}_{111}             e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2 
 
  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2 
 

32    (1i)/2  (1+i)/2  (1i)/2  (1+i)/2 
 
 3^{+}_{111}             e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2 
 
  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2 
 

33    (1+i)/2  (1+i)/2  (1i)/2  (1i)/2 
 
 3^{}_{111}             e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2 
 
  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2 
 

34    (1i)/2  (1i)/2  (1+i)/2  (1+i)/2 
 
 3^{}_{111}             e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2 
 
  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2 
 

35    (1+i)/2  (1+i)/2  (1i)/2  (1i)/2 
 
 3^{}_{111}             e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2 
 
  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2 
 

36    (1i)/2  (1i)/2  (1+i)/2  (1+i)/2 
 
 3^{}_{111}             e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2 
 
  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2 
 

37    m_{110}                 0  0  1  0  0  0  0  1  1  0  0  0  0  1  0  0 
 
  0  0  1  0  0  0  0  1  1  0  0  0  0  1  0  0 
 

38    m_{110}                 0  0  i  0  0  0  0  i  i  0  0  0  0  i  0  0 
 
  0  0  i  0  0  0  0  i  i  0  0  0  0  i  0  0 
 

39    4^{}_{001}                 0  0  0  i  0  0  i  0  0  1  0  0  1  0  0  0 
 
  0  0  0  i  0  0  i  0  0  1  0  0  1  0  0  0 
 

40    4^{+}_{001}                 0  0  0  1  0  0  1  0  0  i  0  0  i  0  0  0 
 
  0  0  0  1  0  0  1  0  0  i  0  0  i  0  0  0 
 

41    4^{}_{100}                 0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0 
 
  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0 
 

42    m_{011}                 0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0 
 
  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0 
 

43    m_{011}                 0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0 
 
  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0 
 

44    4^{+}_{100}                 0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0 
 
  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0 
 

45    4^{+}_{010}                 0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0 
 
  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0 
 

46    i√2/2  i√2/2  i√2/2  i√2/2 
 
 m_{101}                 0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0 
 
  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0 
 

47    4^{}_{010}                 0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0 
 
  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0 
 

48    i√2/2  i√2/2  i√2/2  i√2/2 
 
 m_{101}                 0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0 
 
  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0 
 

49    ^{d}1_{}                 1  0  0  0  0  1  0  0  0  0  1  0  0  0  0  1 
 
  1  0  0  0  0  1  0  0  0  0  1  0  0  0  0  1 
 

50    ^{d}2_{001}                 i  0  0  0  0  i  0  0  0  0  i  0  0  0  0  i 
 
  i  0  0  0  0  i  0  0  0  0  i  0  0  0  0  i 
 

51    ^{d}2_{010}                 0  1  0  0  1  0  0  0  0  0  0  i  0  0  i  0 
 
  0  1  0  0  1  0  0  0  0  0  0  i  0  0  i  0 
 

52    ^{d}2_{100}                 0  i  0  0  i  0  0  0  0  0  0  1  0  0  1  0 
 
  0  i  0  0  i  0  0  0  0  0  0  1  0  0  1  0 
 

53    (1i)/2  (1+i)/2  (1i)/2  (1+i)/2 
 
 ^{d}3^{+}_{111}             e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2 
 
  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2 
 

54    (1+i)/2  (1i)/2  (1+i)/2  (1i)/2 
 
 ^{d}3^{+}_{111}             e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2 
 
  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2 
 

55    (1+i)/2  (1i)/2  (1+i)/2  (1i)/2 
 
 ^{d}3^{+}_{111}             e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2 
 
  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2 
 

56    (1i)/2  (1+i)/2  (1i)/2  (1+i)/2 
 
 ^{d}3^{+}_{111}             e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2 
 
  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2 
 

57    (1+i)/2  (1+i)/2  (1i)/2  (1i)/2 
 
 ^{d}3^{}_{111}             e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2 
 
  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2 
 

58    (1i)/2  (1i)/2  (1+i)/2  (1+i)/2 
 
 ^{d}3^{}_{111}             e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2 
 
  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2 
 

59    (1+i)/2  (1+i)/2  (1i)/2  (1i)/2 
 
 ^{d}3^{}_{111}             e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2 
 
  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2 
 

60    (1i)/2  (1i)/2  (1+i)/2  (1+i)/2 
 
 ^{d}3^{}_{111}             e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2 
 
  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2 
 

61    ^{d}2_{110}                 0  0  1  0  0  0  0  1  1  0  0  0  0  1  0  0 
 
  0  0  1  0  0  0  0  1  1  0  0  0  0  1  0  0 
 

62    ^{d}2_{110}                 0  0  i  0  0  0  0  i  i  0  0  0  0  i  0  0 
 
  0  0  i  0  0  0  0  i  i  0  0  0  0  i  0  0 
 

63    (1+i)√2/2  0  0  (1i)√2/2 
 
 ^{d}4^{}_{001}                 0  0  0  i  0  0  i  0  0  1  0  0  1  0  0  0 
 
  0  0  0  i  0  0  i  0  0  1  0  0  1  0  0  0 
 

64    (1i)√2/2  0  0  (1+i)√2/2 
 
 ^{d}4^{+}_{001}                 0  0  0  1  0  0  1  0  0  i  0  0  i  0  0  0 
 
  0  0  0  1  0  0  1  0  0  i  0  0  i  0  0  0 
 

65    √2/2  i√2/2  i√2/2  √2/2 
 
 ^{d}4^{}_{100}                 0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0 
 
  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0 
 

66    ^{d}2_{011}                 0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0 
 
  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0 
 

67    ^{d}2_{011}                 0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0 
 
  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0 
 

68    ^{d}4^{+}_{100}                 0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0 
 
  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0 
 

69    ^{d}4^{+}_{010}                 0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0 
 
  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0 
 

70    ^{d}2_{101}                 0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0 
 
  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0 
 

71    ^{d}4^{}_{010}                 0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0 
 
  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0 
 

72    ^{d}2_{101}                 0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0 
 
  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0 
 

73    ^{d}1_{}                 1  0  0  0  0  1  0  0  0  0  1  0  0  0  0  1 
 
  1  0  0  0  0  1  0  0  0  0  1  0  0  0  0  1 
 

74    ^{d}m_{001}                 i  0  0  0  0  i  0  0  0  0  i  0  0  0  0  i 
 
  i  0  0  0  0  i  0  0  0  0  i  0  0  0  0  i 
 

75    ^{d}m_{010}                 0  1  0  0  1  0  0  0  0  0  0  i  0  0  i  0 
 
  0  1  0  0  1  0  0  0  0  0  0  i  0  0  i  0 
 

76    ^{d}m_{100}                 0  i  0  0  i  0  0  0  0  0  0  1  0  0  1  0 
 
  0  i  0  0  i  0  0  0  0  0  0  1  0  0  1  0 
 

77    (1i)/2  (1+i)/2  (1i)/2  (1+i)/2 
 
 ^{d}3^{+}_{111}             e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2 
 
  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2 
 

78    (1+i)/2  (1i)/2  (1+i)/2  (1i)/2 
 
 ^{d}3^{+}_{111}             e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2 
 
  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2 
 

79    (1+i)/2  (1i)/2  (1+i)/2  (1i)/2 
 
 ^{d}3^{+}_{111}             e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2 
 
  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2 
 

80    (1i)/2  (1+i)/2  (1i)/2  (1+i)/2 
 
 ^{d}3^{+}_{111}             e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2 
 
  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2 
 

81    (1+i)/2  (1+i)/2  (1i)/2  (1i)/2 
 
 ^{d}3^{}_{111}             e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2 
 
  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2 
 

82    (1i)/2  (1i)/2  (1+i)/2  (1+i)/2 
 
 ^{d}3^{}_{111}             e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2 
 
  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2 
 

83    (1+i)/2  (1+i)/2  (1i)/2  (1i)/2 
 
 ^{d}3^{}_{111}             e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{iπ/4}√2/2 
 
  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2 
 
  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2 
 

84    (1i)/2  (1i)/2  (1+i)/2  (1+i)/2 
 
 ^{d}3^{}_{111}             e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{i3π/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/4}√2/2  e^{iπ/4}√2/2  e^{i3π/4}√2/2  e^{iπ/4}√2/2 
 
  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2 
 
  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2 
 

85    ^{d}m_{110}                 0  0  1  0  0  0  0  1  1  0  0  0  0  1  0  0 
 
  0  0  1  0  0  0  0  1  1  0  0  0  0  1  0  0 
 

86    ^{d}m_{110}                 0  0  i  0  0  0  0  i  i  0  0  0  0  i  0  0 
 
  0  0  i  0  0  0  0  i  i  0  0  0  0  i  0  0 
 

87    (1+i)√2/2  0  0  (1i)√2/2 
 
 ^{d}4^{}_{001}                 0  0  0  i  0  0  i  0  0  1  0  0  1  0  0  0 
 
  0  0  0  i  0  0  i  0  0  1  0  0  1  0  0  0 
 

88    (1i)√2/2  0  0  (1+i)√2/2 
 
 ^{d}4^{+}_{001}                 0  0  0  1  0  0  1  0  0  i  0  0  i  0  0  0 
 
  0  0  0  1  0  0  1  0  0  i  0  0  i  0  0  0 
 

89    √2/2  i√2/2  i√2/2  √2/2 
 
 ^{d}4^{}_{100}                 0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0 
 
  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0 
 

90    ^{d}m_{011}                 0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0 
 
  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0 
 

91    ^{d}m_{011}                 0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0 
 
  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0 
 

92    ^{d}4^{+}_{100}                 0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0 
 
  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0 
 

93    ^{d}4^{+}_{010}                 0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0 
 
  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0 
 

94    ^{d}m_{101}                 0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i7π/12}√2/2  0  0 
 
  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i5π/12}√2/2  0  0 
 

95    ^{d}4^{}_{010}                 0  0  e^{i7π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{iπ/12}√2/2  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0 
 
  0  0  e^{i5π/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i11π/12}√2/2  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0 
 

96    ^{d}m_{101}                 0  0  e^{i11π/12}√2/2  e^{i7π/12}√2/2  0  0  e^{i11π/12}√2/2  e^{i5π/12}√2/2  e^{iπ/12}√2/2  e^{iπ/12}√2/2  0  0  e^{i5π/12}√2/2  e^{i7π/12}√2/2  0  0 
 
  0  0  e^{iπ/12}√2/2  e^{i5π/12}√2/2  0  0  e^{iπ/12}√2/2  e^{i7π/12}√2/2  e^{i11π/12}√2/2  e^{i11π/12}√2/2  0  0  e^{i7π/12}√2/2  e^{i5π/12}√2/2  0  0 
 

97    1'_{}                 0  0  e^{i3π/4}  0  0  0  0  e^{i3π/4}  e^{iπ/4}  0  0  0  0  e^{iπ/4}  0  0 
 
  0  0  e^{iπ/4}  0  0  0  0  e^{iπ/4}  e^{i3π/4}  0  0  0  0  e^{i3π/4}  0  0 
 

98    2'_{001}                 0  0  e^{i3π/4}  0  0  0  0  e^{i3π/4}  e^{i3π/4}  0  0  0  0  e^{i3π/4}  0  0 
 
  0  0  e^{iπ/4}  0  0  0  0  e^{iπ/4}  e^{iπ/4}  0  0  0  0  e^{iπ/4}  0  0 
 

99    2'_{010}                 0  0  0  e^{iπ/4}  0  0  e^{i3π/4}  0  0  e^{i3π/4}  0  0  e^{iπ/4}  0  0  0 
 
  0  0  0  e^{i3π/4}  0  0  e^{iπ/4}  0  0  e^{iπ/4}  0  0  e^{i3π/4}  0  0  0 
 

100    2'_{100}           