Group	D31h 
n	34

     	Irred     	Operation
   1 	 A1'        	 E         
   2 	 A1"        	 C31       
   3 	 A2'        	 C31^2     
   4 	 A2"        	 C31^3     
   5 	 E1'        	 C31^4     
   6 	 E1"        	 C31^5     
   7 	 E2'        	 C31^6     
   8 	 E2"        	 C31^7     
   9 	 E3'        	 C31^8     
  10 	 E3"        	 C31^9     
  11 	 E4'        	 C31^10    
  12 	 E4"        	 C31^11    
  13 	 E5'        	 C31^12    
  14 	 E5"        	 C31^13    
  15 	 E6'        	 C31^14    
  16 	 E6"        	 C31^15    
  17 	 E7'        	 C2'       
  18 	 E7"        	 sh        
  19 	 E8'        	 S31       
  20 	 E8"        	 S31^3     
  21 	 E9'        	 S31^5     
  22 	 E9"        	 S31^7     
  23 	 E10'       	 S31^9     
  24 	 E10"       	 S31^11    
  25 	 E11'       	 S31^13    
  26 	 E11"       	 S31^15    
  27 	 E12'       	 S31^17    
  28 	 E12"       	 S31^19    
  29 	 E13'       	 S31^21    
  30 	 E13"       	 S31^23    
  31 	 E14'       	 S31^25    
  32 	 E14"       	 S31^27    
  33 	 E15'       	 S31^29    
  34 	 E15"       	 sv        

Table
         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27        28        29        30        31        32        33        34     
   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  
   3   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  
   4   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000   1.00000  
   5   2.00000   1.95906   1.83792   1.64153   1.37793   1.05793   0.69461   0.30286  -0.10130  -0.50131  -0.88079  -1.22421  -1.51752  -1.74869  -1.90828  -1.98974   0.00000   2.00000   1.95906   1.64153   1.05793   0.30286  -0.50131  -1.22421  -1.74869  -1.98974  -1.90828  -1.51752  -0.88079  -0.10130   0.69461   1.37793   1.83792   0.00000  
   6   2.00000   1.95906   1.83792   1.64153   1.37793   1.05793   0.69461   0.30286  -0.10130  -0.50131  -0.88079  -1.22421  -1.51752  -1.74869  -1.90828  -1.98974   0.00000  -2.00000  -1.95906  -1.64153  -1.05793  -0.30286   0.50131   1.22421   1.74869   1.98974   1.90828   1.51752   0.88079   0.10130  -0.69461  -1.37793  -1.83792   0.00000  
   7   2.00000   1.83792   1.37793   0.69461  -0.10130  -0.88079  -1.51752  -1.90828  -1.98974  -1.74869  -1.22421  -0.50131   0.30286   1.05793   1.64153   1.95906   0.00000   2.00000   1.83792   0.69461  -0.88079  -1.90828  -1.74869  -0.50131   1.05793   1.95906   1.64153   0.30286  -1.22421  -1.98974  -1.51752  -0.10130   1.37793   0.00000  
   8   2.00000   1.83792   1.37793   0.69461  -0.10130  -0.88079  -1.51752  -1.90828  -1.98974  -1.74869  -1.22421  -0.50131   0.30286   1.05793   1.64153   1.95906   0.00000  -2.00000  -1.83792  -0.69461   0.88079   1.90828   1.74869   0.50131  -1.05793  -1.95906  -1.64153  -0.30286   1.22421   1.98974   1.51752   0.10130  -1.37793   0.00000  
   9   2.00000   1.64153   0.69461  -0.50131  -1.51752  -1.98974  -1.74869  -0.88079   0.30286   1.37793   1.95906   1.83792   1.05793  -0.10130  -1.22421  -1.90828   0.00000   2.00000   1.64153  -0.50131  -1.98974  -0.88079   1.37793   1.83792  -0.10130  -1.90828  -1.22421   1.05793   1.95906   0.30286  -1.74869  -1.51752   0.69461   0.00000  
  10   2.00000   1.64153   0.69461  -0.50131  -1.51752  -1.98974  -1.74869  -0.88079   0.30286   1.37793   1.95906   1.83792   1.05793  -0.10130  -1.22421  -1.90828   0.00000  -2.00000  -1.64153   0.50131   1.98974   0.88079  -1.37793  -1.83792   0.10130   1.90828   1.22421  -1.05793  -1.95906  -0.30286   1.74869   1.51752  -0.69461   0.00000  
  11   2.00000   1.37793  -0.10130  -1.51752  -1.98974  -1.22421   0.30286   1.64153   1.95906   1.05793  -0.50131  -1.74869  -1.90828  -0.88079   0.69461   1.83792   0.00000   2.00000   1.37793  -1.51752  -1.22421   1.64153   1.05793  -1.74869  -0.88079   1.83792   0.69461  -1.90828  -0.50131   1.95906   0.30286  -1.98974  -0.10130   0.00000  
  12   2.00000   1.37793  -0.10130  -1.51752  -1.98974  -1.22421   0.30286   1.64153   1.95906   1.05793  -0.50131  -1.74869  -1.90828  -0.88079   0.69461   1.83792   0.00000  -2.00000  -1.37793   1.51752   1.22421  -1.64153  -1.05793   1.74869   0.88079  -1.83792  -0.69461   1.90828   0.50131  -1.95906  -0.30286   1.98974   0.10130   0.00000  
  13   2.00000   1.05793  -0.88079  -1.98974  -1.22421   0.69461   1.95906   1.37793  -0.50131  -1.90828  -1.51752   0.30286   1.83792   1.64153  -0.10130  -1.74869   0.00000   2.00000   1.05793  -1.98974   0.69461   1.37793  -1.90828   0.30286   1.64153  -1.74869  -0.10130   1.83792  -1.51752  -0.50131   1.95906  -1.22421  -0.88079   0.00000  
  14   2.00000   1.05793  -0.88079  -1.98974  -1.22421   0.69461   1.95906   1.37793  -0.50131  -1.90828  -1.51752   0.30286   1.83792   1.64153  -0.10130  -1.74869   0.00000  -2.00000  -1.05793   1.98974  -0.69461  -1.37793   1.90828  -0.30286  -1.64153   1.74869   0.10130  -1.83792   1.51752   0.50131  -1.95906   1.22421   0.88079   0.00000  
  15   2.00000   0.69461  -1.51752  -1.74869   0.30286   1.95906   1.05793  -1.22421  -1.90828  -0.10130   1.83792   1.37793  -0.88079  -1.98974  -0.50131   1.64153   0.00000   2.00000   0.69461  -1.74869   1.95906  -1.22421  -0.10130   1.37793  -1.98974   1.64153  -0.50131  -0.88079   1.83792  -1.90828   1.05793   0.30286  -1.51752   0.00000  
  16   2.00000   0.69461  -1.51752  -1.74869   0.30286   1.95906   1.05793  -1.22421  -1.90828  -0.10130   1.83792   1.37793  -0.88079  -1.98974  -0.50131   1.64153   0.00000  -2.00000  -0.69461   1.74869  -1.95906   1.22421   0.10130  -1.37793   1.98974  -1.64153   0.50131   0.88079  -1.83792   1.90828  -1.05793  -0.30286   1.51752   0.00000  
  17   2.00000   0.30286  -1.90828  -0.88079   1.64153   1.37793  -1.22421  -1.74869   0.69461   1.95906  -0.10130  -1.98974  -0.50131   1.83792   1.05793  -1.51752   0.00000   2.00000   0.30286  -0.88079   1.37793  -1.74869   1.95906  -1.98974   1.83792  -1.51752   1.05793  -0.50131  -0.10130   0.69461  -1.22421   1.64153  -1.90828   0.00000  
  18   2.00000   0.30286  -1.90828  -0.88079   1.64153   1.37793  -1.22421  -1.74869   0.69461   1.95906  -0.10130  -1.98974  -0.50131   1.83792   1.05793  -1.51752   0.00000  -2.00000  -0.30286   0.88079  -1.37793   1.74869  -1.95906   1.98974  -1.83792   1.51752  -1.05793   0.50131   0.10130  -0.69461   1.22421  -1.64153   1.90828   0.00000  
  19   2.00000  -0.10130  -1.98974   0.30286   1.95906  -0.50131  -1.90828   0.69461   1.83792  -0.88079  -1.74869   1.05793   1.64153  -1.22421  -1.51752   1.37793   0.00000   2.00000  -0.10130   0.30286  -0.50131   0.69461  -0.88079   1.05793  -1.22421   1.37793  -1.51752   1.64153  -1.74869   1.83792  -1.90828   1.95906  -1.98974   0.00000  
  20   2.00000  -0.10130  -1.98974   0.30286   1.95906  -0.50131  -1.90828   0.69461   1.83792  -0.88079  -1.74869   1.05793   1.64153  -1.22421  -1.51752   1.37793   0.00000  -2.00000   0.10130  -0.30286   0.50131  -0.69461   0.88079  -1.05793   1.22421  -1.37793   1.51752  -1.64153   1.74869  -1.83792   1.90828  -1.95906   1.98974   0.00000  
  21   2.00000  -0.50131  -1.74869   1.37793   1.05793  -1.90828  -0.10130   1.95906  -0.88079  -1.51752   1.64153   0.69461  -1.98974   0.30286   1.83792  -1.22421   0.00000   2.00000  -0.50131   1.37793  -1.90828   1.95906  -1.51752   0.69461   0.30286  -1.22421   1.83792  -1.98974   1.64153  -0.88079  -0.10130   1.05793  -1.74869   0.00000  
  22   2.00000  -0.50131  -1.74869   1.37793   1.05793  -1.90828  -0.10130   1.95906  -0.88079  -1.51752   1.64153   0.69461  -1.98974   0.30286   1.83792  -1.22421   0.00000  -2.00000   0.50131  -1.37793   1.90828  -1.95906   1.51752  -0.69461  -0.30286   1.22421  -1.83792   1.98974  -1.64153   0.88079   0.10130  -1.05793   1.74869   0.00000  
  23   2.00000  -0.88079  -1.22421   1.95906  -0.50131  -1.51752   1.83792  -0.10130  -1.74869   1.64153   0.30286  -1.90828   1.37793   0.69461  -1.98974   1.05793   0.00000   2.00000  -0.88079   1.95906  -1.51752  -0.10130   1.64153  -1.90828   0.69461   1.05793  -1.98974   1.37793   0.30286  -1.74869   1.83792  -0.50131  -1.22421   0.00000  
  24   2.00000  -0.88079  -1.22421   1.95906  -0.50131  -1.51752   1.83792  -0.10130  -1.74869   1.64153   0.30286  -1.90828   1.37793   0.69461  -1.98974   1.05793   0.00000  -2.00000   0.88079  -1.95906   1.51752   0.10130  -1.64153   1.90828  -0.69461  -1.05793   1.98974  -1.37793  -0.30286   1.74869  -1.83792   0.50131   1.22421   0.00000  
  25   2.00000  -1.22421  -0.50131   1.83792  -1.74869   0.30286   1.37793  -1.98974   1.05793   0.69461  -1.90828   1.64153  -0.10130  -1.51752   1.95906  -0.88079   0.00000   2.00000  -1.22421   1.83792   0.30286  -1.98974   0.69461   1.64153  -1.51752  -0.88079   1.95906  -0.10130  -1.90828   1.05793   1.37793  -1.74869  -0.50131   0.00000  
  26   2.00000  -1.22421  -0.50131   1.83792  -1.74869   0.30286   1.37793  -1.98974   1.05793   0.69461  -1.90828   1.64153  -0.10130  -1.51752   1.95906  -0.88079   0.00000  -2.00000   1.22421  -1.83792  -0.30286   1.98974  -0.69461  -1.64153   1.51752   0.88079  -1.95906   0.10130   1.90828  -1.05793  -1.37793   1.74869   0.50131   0.00000  
  27   2.00000  -1.51752   0.30286   1.05793  -1.90828   1.83792  -0.88079  -0.50131   1.64153  -1.98974   1.37793  -0.10130  -1.22421   1.95906  -1.74869   0.69461   0.00000   2.00000  -1.51752   1.05793   1.83792  -0.50131  -1.98974  -0.10130   1.95906   0.69461  -1.74869  -1.22421   1.37793   1.64153  -0.88079  -1.90828   0.30286   0.00000  
  28   2.00000  -1.51752   0.30286   1.05793  -1.90828   1.83792  -0.88079  -0.50131   1.64153  -1.98974   1.37793  -0.10130  -1.22421   1.95906  -1.74869   0.69461   0.00000  -2.00000   1.51752  -1.05793  -1.83792   0.50131   1.98974   0.10130  -1.95906  -0.69461   1.74869   1.22421  -1.37793  -1.64153   0.88079   1.90828  -0.30286   0.00000  
  29   2.00000  -1.74869   1.05793  -0.10130  -0.88079   1.64153  -1.98974   1.83792  -1.22421   0.30286   0.69461  -1.51752   1.95906  -1.90828   1.37793  -0.50131   0.00000   2.00000  -1.74869  -0.10130   1.64153   1.83792   0.30286  -1.51752  -1.90828  -0.50131   1.37793   1.95906   0.69461  -1.22421  -1.98974  -0.88079   1.05793   0.00000  
  30   2.00000  -1.74869   1.05793  -0.10130  -0.88079   1.64153  -1.98974   1.83792  -1.22421   0.30286   0.69461  -1.51752   1.95906  -1.90828   1.37793  -0.50131   0.00000  -2.00000   1.74869   0.10130  -1.64153  -1.83792  -0.30286   1.51752   1.90828   0.50131  -1.37793  -1.95906  -0.69461   1.22421   1.98974   0.88079  -1.05793   0.00000  
  31   2.00000  -1.90828   1.64153  -1.22421   0.69461  -0.10130  -0.50131   1.05793  -1.51752   1.83792  -1.98974   1.95906  -1.74869   1.37793  -0.88079   0.30286   0.00000   2.00000  -1.90828  -1.22421  -0.10130   1.05793   1.83792   1.95906   1.37793   0.30286  -0.88079  -1.74869  -1.98974  -1.51752  -0.50131   0.69461   1.64153   0.00000  
  32   2.00000  -1.90828   1.64153  -1.22421   0.69461  -0.10130  -0.50131   1.05793  -1.51752   1.83792  -1.98974   1.95906  -1.74869   1.37793  -0.88079   0.30286   0.00000  -2.00000   1.90828   1.22421   0.10130  -1.05793  -1.83792  -1.95906  -1.37793  -0.30286   0.88079   1.74869   1.98974   1.51752   0.50131  -0.69461  -1.64153   0.00000  
  33   2.00000  -1.98974   1.95906  -1.90828   1.83792  -1.74869   1.64153  -1.51752   1.37793  -1.22421   1.05793  -0.88079   0.69461  -0.50131   0.30286  -0.10130   0.00000   2.00000  -1.98974  -1.90828  -1.74869  -1.51752  -1.22421  -0.88079  -0.50131  -0.10130   0.30286   0.69461   1.05793   1.37793   1.64153   1.83792   1.95906   0.00000  
  34   2.00000  -1.98974   1.95906  -1.90828   1.83792  -1.74869   1.64153  -1.51752   1.37793  -1.22421   1.05793  -0.88079   0.69461  -0.50131   0.30286  -0.10130   0.00000  -2.00000   1.98974   1.90828   1.74869   1.51752   1.22421   0.88079   0.50131   0.10130  -0.30286  -0.69461  -1.05793  -1.37793  -1.64153  -1.83792  -1.95906   0.00000