Character table for the D68h point group

D68h     E        2 C68    2 C34    2 C68^3  2 C17    2 C68^5  2 C34^3  2 C68^7  2 C17^2  2 C68^9  2 C34^5  2 C68^11 2 C17^3  2 C68^13 2 C34^7  2 C68^15 2 C17^4  2 C4     2 C34^9  2 C68^19 2 C17^5  2 C68^21 2 C34^11 2 C68^23 2 C17^6  2 C68^25 2 C34^13 2 C68^27 2 C17^7  2 C68^29 2 C34^15 2 C68^31 2 C17^8  2 C68^33 C2       34 C2'   34 C2"   i        2 S68    2 S34    2 S68^3  2 S17    2 S68^5  2 S34^3  2 S68^7  2 S17^2  2 S68^9  2 S34^5  2 S68^11 2 S17^3  2 S68^13 2 S34^7  2 S68^15 2 S17^4  2 S4     2 S34^9  2 S68^19 2 S17^5  2 S68^21 2 S34^11 2 S68^23 2 S17^6  2 S68^25 2 S34^13 2 S68^27 2 S17^7  2 S68^29 2 S34^15 2 S68^31 2 S17^8  2 S68^33 sh       34 sv    34 sd      <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A1g     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  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  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000     ... ... ....T ....... ........T ........... ............T
A2g     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  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  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000     ..T ... ..... ....... ......... ........... .............
B1g     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  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 -1.00000  1.00000 -1.00000  1.00000  1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
B2g     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  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 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000     ... ... ..... ....... ......... ........... .............
E1g     2.00000  1.99147  1.96595  1.92365  1.86494  1.79033  1.70043  1.59603  1.47802  1.34739  1.20527  1.05286  0.89148  0.72248  0.54733  0.36750  0.18454  0.00000 -0.18454 -0.36750 -0.54733 -0.72248 -0.89148 -1.05286 -1.20527 -1.34739 -1.47802 -1.59603 -1.70043 -1.79033 -1.86494 -1.92365 -1.96595 -1.99147 -2.00000  0.00000  0.00000  2.00000 -1.99147 -1.96595 -1.92365 -1.86494 -1.79033 -1.70043 -1.59603 -1.47802 -1.34739 -1.20527 -1.05286 -0.89148 -0.72248 -0.54733 -0.36750 -0.18454  0.00000  0.18454  0.36750  0.54733  0.72248  0.89148  1.05286  1.20527  1.34739  1.47802  1.59603  1.70043  1.79033  1.86494  1.92365  1.96595  1.99147 -2.00000  0.00000  0.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.
E2g     2.00000  1.96595  1.86494  1.70043  1.47802  1.20527  0.89148  0.54733  0.18454 -0.18454 -0.54733 -0.89148 -1.20527 -1.47802 -1.70043 -1.86494 -1.96595 -2.00000 -1.96595 -1.86494 -1.70043 -1.47802 -1.20527 -0.89148 -0.54733 -0.18454  0.18454  0.54733  0.89148  1.20527  1.47802  1.70043  1.86494  1.96595  2.00000  0.00000  0.00000  2.00000  1.96595  1.86494  1.70043  1.47802  1.20527  0.89148  0.54733  0.18454 -0.18454 -0.54733 -0.89148 -1.20527 -1.47802 -1.70043 -1.86494 -1.96595 -2.00000 -1.96595 -1.86494 -1.70043 -1.47802 -1.20527 -0.89148 -0.54733 -0.18454  0.18454  0.54733  0.89148  1.20527  1.47802  1.70043  1.86494  1.96595  2.00000  0.00000  0.00000     ... ... TT... ....... ....TT... ........... ........TT...
E3g     2.00000  1.92365  1.70043  1.34739  0.89148  0.36750 -0.18454 -0.72248 -1.20527 -1.59603 -1.86494 -1.99147 -1.96595 -1.79033 -1.47802 -1.05286 -0.54733  0.00000  0.54733  1.05286  1.47802  1.79033  1.96595  1.99147  1.86494  1.59603  1.20527  0.72248  0.18454 -0.36750 -0.89148 -1.34739 -1.70043 -1.92365 -2.00000  0.00000  0.00000  2.00000 -1.92365 -1.70043 -1.34739 -0.89148 -0.36750  0.18454  0.72248  1.20527  1.59603  1.86494  1.99147  1.96595  1.79033  1.47802  1.05286  0.54733  0.00000 -0.54733 -1.05286 -1.47802 -1.79033 -1.96595 -1.99147 -1.86494 -1.59603 -1.20527 -0.72248 -0.18454  0.36750  0.89148  1.34739  1.70043  1.92365 -2.00000  0.00000  0.00000     ... ... ..... ....... ..TT..... ........... ......TT.....
E4g     2.00000  1.86494  1.47802  0.89148  0.18454 -0.54733 -1.20527 -1.70043 -1.96595 -1.96595 -1.70043 -1.20527 -0.54733  0.18454  0.89148  1.47802  1.86494  2.00000  1.86494  1.47802  0.89148  0.18454 -0.54733 -1.20527 -1.70043 -1.96595 -1.96595 -1.70043 -1.20527 -0.54733  0.18454  0.89148  1.47802  1.86494  2.00000  0.00000  0.00000  2.00000  1.86494  1.47802  0.89148  0.18454 -0.54733 -1.20527 -1.70043 -1.96595 -1.96595 -1.70043 -1.20527 -0.54733  0.18454  0.89148  1.47802  1.86494  2.00000  1.86494  1.47802  0.89148  0.18454 -0.54733 -1.20527 -1.70043 -1.96595 -1.96595 -1.70043 -1.20527 -0.54733  0.18454  0.89148  1.47802  1.86494  2.00000  0.00000  0.00000     ... ... ..... ....... TT....... ........... ....TT.......
E5g     2.00000  1.79033  1.20527  0.36750 -0.54733 -1.34739 -1.86494 -1.99147 -1.70043 -1.05286 -0.18454  0.72248  1.47802  1.92365  1.96595  1.59603  0.89148  0.00000 -0.89148 -1.59603 -1.96595 -1.92365 -1.47802 -0.72248  0.18454  1.05286  1.70043  1.99147  1.86494  1.34739  0.54733 -0.36750 -1.20527 -1.79033 -2.00000  0.00000  0.00000  2.00000 -1.79033 -1.20527 -0.36750  0.54733  1.34739  1.86494  1.99147  1.70043  1.05286  0.18454 -0.72248 -1.47802 -1.92365 -1.96595 -1.59603 -0.89148  0.00000  0.89148  1.59603  1.96595  1.92365  1.47802  0.72248 -0.18454 -1.05286 -1.70043 -1.99147 -1.86494 -1.34739 -0.54733  0.36750  1.20527  1.79033 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... ..TT.........
E6g     2.00000  1.70043  0.89148 -0.18454 -1.20527 -1.86494 -1.96595 -1.47802 -0.54733  0.54733  1.47802  1.96595  1.86494  1.20527  0.18454 -0.89148 -1.70043 -2.00000 -1.70043 -0.89148  0.18454  1.20527  1.86494  1.96595  1.47802  0.54733 -0.54733 -1.47802 -1.96595 -1.86494 -1.20527 -0.18454  0.89148  1.70043  2.00000  0.00000  0.00000  2.00000  1.70043  0.89148 -0.18454 -1.20527 -1.86494 -1.96595 -1.47802 -0.54733  0.54733  1.47802  1.96595  1.86494  1.20527  0.18454 -0.89148 -1.70043 -2.00000 -1.70043 -0.89148  0.18454  1.20527  1.86494  1.96595  1.47802  0.54733 -0.54733 -1.47802 -1.96595 -1.86494 -1.20527 -0.18454  0.89148  1.70043  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... TT...........
E7g     2.00000  1.59603  0.54733 -0.72248 -1.70043 -1.99147 -1.47802 -0.36750  0.89148  1.79033  1.96595  1.34739  0.18454 -1.05286 -1.86494 -1.92365 -1.20527  0.00000  1.20527  1.92365  1.86494  1.05286 -0.18454 -1.34739 -1.96595 -1.79033 -0.89148  0.36750  1.47802  1.99147  1.70043  0.72248 -0.54733 -1.59603 -2.00000  0.00000  0.00000  2.00000 -1.59603 -0.54733  0.72248  1.70043  1.99147  1.47802  0.36750 -0.89148 -1.79033 -1.96595 -1.34739 -0.18454  1.05286  1.86494  1.92365  1.20527  0.00000 -1.20527 -1.92365 -1.86494 -1.05286  0.18454  1.34739  1.96595  1.79033  0.89148 -0.36750 -1.47802 -1.99147 -1.70043 -0.72248  0.54733  1.59603 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E8g     2.00000  1.47802  0.18454 -1.20527 -1.96595 -1.70043 -0.54733  0.89148  1.86494  1.86494  0.89148 -0.54733 -1.70043 -1.96595 -1.20527  0.18454  1.47802  2.00000  1.47802  0.18454 -1.20527 -1.96595 -1.70043 -0.54733  0.89148  1.86494  1.86494  0.89148 -0.54733 -1.70043 -1.96595 -1.20527  0.18454  1.47802  2.00000  0.00000  0.00000  2.00000  1.47802  0.18454 -1.20527 -1.96595 -1.70043 -0.54733  0.89148  1.86494  1.86494  0.89148 -0.54733 -1.70043 -1.96595 -1.20527  0.18454  1.47802  2.00000  1.47802  0.18454 -1.20527 -1.96595 -1.70043 -0.54733  0.89148  1.86494  1.86494  0.89148 -0.54733 -1.70043 -1.96595 -1.20527  0.18454  1.47802  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E9g     2.00000  1.34739 -0.18454 -1.59603 -1.96595 -1.05286  0.54733  1.79033  1.86494  0.72248 -0.89148 -1.92365 -1.70043 -0.36750  1.20527  1.99147  1.47802  0.00000 -1.47802 -1.99147 -1.20527  0.36750  1.70043  1.92365  0.89148 -0.72248 -1.86494 -1.79033 -0.54733  1.05286  1.96595  1.59603  0.18454 -1.34739 -2.00000  0.00000  0.00000  2.00000 -1.34739  0.18454  1.59603  1.96595  1.05286 -0.54733 -1.79033 -1.86494 -0.72248  0.89148  1.92365  1.70043  0.36750 -1.20527 -1.99147 -1.47802  0.00000  1.47802  1.99147  1.20527 -0.36750 -1.70043 -1.92365 -0.89148  0.72248  1.86494  1.79033  0.54733 -1.05286 -1.96595 -1.59603 -0.18454  1.34739 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E10g    2.00000  1.20527 -0.54733 -1.86494 -1.70043 -0.18454  1.47802  1.96595  0.89148 -0.89148 -1.96595 -1.47802  0.18454  1.70043  1.86494  0.54733 -1.20527 -2.00000 -1.20527  0.54733  1.86494  1.70043  0.18454 -1.47802 -1.96595 -0.89148  0.89148  1.96595  1.47802 -0.18454 -1.70043 -1.86494 -0.54733  1.20527  2.00000  0.00000  0.00000  2.00000  1.20527 -0.54733 -1.86494 -1.70043 -0.18454  1.47802  1.96595  0.89148 -0.89148 -1.96595 -1.47802  0.18454  1.70043  1.86494  0.54733 -1.20527 -2.00000 -1.20527  0.54733  1.86494  1.70043  0.18454 -1.47802 -1.96595 -0.89148  0.89148  1.96595  1.47802 -0.18454 -1.70043 -1.86494 -0.54733  1.20527  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E11g    2.00000  1.05286 -0.89148 -1.99147 -1.20527  0.72248  1.96595  1.34739 -0.54733 -1.92365 -1.47802  0.36750  1.86494  1.59603 -0.18454 -1.79033 -1.70043  0.00000  1.70043  1.79033  0.18454 -1.59603 -1.86494 -0.36750  1.47802  1.92365  0.54733 -1.34739 -1.96595 -0.72248  1.20527  1.99147  0.89148 -1.05286 -2.00000  0.00000  0.00000  2.00000 -1.05286  0.89148  1.99147  1.20527 -0.72248 -1.96595 -1.34739  0.54733  1.92365  1.47802 -0.36750 -1.86494 -1.59603  0.18454  1.79033  1.70043  0.00000 -1.70043 -1.79033 -0.18454  1.59603  1.86494  0.36750 -1.47802 -1.92365 -0.54733  1.34739  1.96595  0.72248 -1.20527 -1.99147 -0.89148  1.05286 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E12g    2.00000  0.89148 -1.20527 -1.96595 -0.54733  1.47802  1.86494  0.18454 -1.70043 -1.70043  0.18454  1.86494  1.47802 -0.54733 -1.96595 -1.20527  0.89148  2.00000  0.89148 -1.20527 -1.96595 -0.54733  1.47802  1.86494  0.18454 -1.70043 -1.70043  0.18454  1.86494  1.47802 -0.54733 -1.96595 -1.20527  0.89148  2.00000  0.00000  0.00000  2.00000  0.89148 -1.20527 -1.96595 -0.54733  1.47802  1.86494  0.18454 -1.70043 -1.70043  0.18454  1.86494  1.47802 -0.54733 -1.96595 -1.20527  0.89148  2.00000  0.89148 -1.20527 -1.96595 -0.54733  1.47802  1.86494  0.18454 -1.70043 -1.70043  0.18454  1.86494  1.47802 -0.54733 -1.96595 -1.20527  0.89148  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E13g    2.00000  0.72248 -1.47802 -1.79033  0.18454  1.92365  1.20527 -1.05286 -1.96595 -0.36750  1.70043  1.59603 -0.54733 -1.99147 -0.89148  1.34739  1.86494  0.00000 -1.86494 -1.34739  0.89148  1.99147  0.54733 -1.59603 -1.70043  0.36750  1.96595  1.05286 -1.20527 -1.92365 -0.18454  1.79033  1.47802 -0.72248 -2.00000  0.00000  0.00000  2.00000 -0.72248  1.47802  1.79033 -0.18454 -1.92365 -1.20527  1.05286  1.96595  0.36750 -1.70043 -1.59603  0.54733  1.99147  0.89148 -1.34739 -1.86494  0.00000  1.86494  1.34739 -0.89148 -1.99147 -0.54733  1.59603  1.70043 -0.36750 -1.96595 -1.05286  1.20527  1.92365  0.18454 -1.79033 -1.47802  0.72248 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E14g    2.00000  0.54733 -1.70043 -1.47802  0.89148  1.96595  0.18454 -1.86494 -1.20527  1.20527  1.86494 -0.18454 -1.96595 -0.89148  1.47802  1.70043 -0.54733 -2.00000 -0.54733  1.70043  1.47802 -0.89148 -1.96595 -0.18454  1.86494  1.20527 -1.20527 -1.86494  0.18454  1.96595  0.89148 -1.47802 -1.70043  0.54733  2.00000  0.00000  0.00000  2.00000  0.54733 -1.70043 -1.47802  0.89148  1.96595  0.18454 -1.86494 -1.20527  1.20527  1.86494 -0.18454 -1.96595 -0.89148  1.47802  1.70043 -0.54733 -2.00000 -0.54733  1.70043  1.47802 -0.89148 -1.96595 -0.18454  1.86494  1.20527 -1.20527 -1.86494  0.18454  1.96595  0.89148 -1.47802 -1.70043  0.54733  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E15g    2.00000  0.36750 -1.86494 -1.05286  1.47802  1.59603 -0.89148 -1.92365  0.18454  1.99147  0.54733 -1.79033 -1.20527  1.34739  1.70043 -0.72248 -1.96595  0.00000  1.96595  0.72248 -1.70043 -1.34739  1.20527  1.79033 -0.54733 -1.99147 -0.18454  1.92365  0.89148 -1.59603 -1.47802  1.05286  1.86494 -0.36750 -2.00000  0.00000  0.00000  2.00000 -0.36750  1.86494  1.05286 -1.47802 -1.59603  0.89148  1.92365 -0.18454 -1.99147 -0.54733  1.79033  1.20527 -1.34739 -1.70043  0.72248  1.96595  0.00000 -1.96595 -0.72248  1.70043  1.34739 -1.20527 -1.79033  0.54733  1.99147  0.18454 -1.92365 -0.89148  1.59603  1.47802 -1.05286 -1.86494  0.36750 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E16g    2.00000  0.18454 -1.96595 -0.54733  1.86494  0.89148 -1.70043 -1.20527  1.47802  1.47802 -1.20527 -1.70043  0.89148  1.86494 -0.54733 -1.96595  0.18454  2.00000  0.18454 -1.96595 -0.54733  1.86494  0.89148 -1.70043 -1.20527  1.47802  1.47802 -1.20527 -1.70043  0.89148  1.86494 -0.54733 -1.96595  0.18454  2.00000  0.00000  0.00000  2.00000  0.18454 -1.96595 -0.54733  1.86494  0.89148 -1.70043 -1.20527  1.47802  1.47802 -1.20527 -1.70043  0.89148  1.86494 -0.54733 -1.96595  0.18454  2.00000  0.18454 -1.96595 -0.54733  1.86494  0.89148 -1.70043 -1.20527  1.47802  1.47802 -1.20527 -1.70043  0.89148  1.86494 -0.54733 -1.96595  0.18454  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E17g    2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  0.00000  2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E18g    2.00000 -0.18454 -1.96595  0.54733  1.86494 -0.89148 -1.70043  1.20527  1.47802 -1.47802 -1.20527  1.70043  0.89148 -1.86494 -0.54733  1.96595  0.18454 -2.00000  0.18454  1.96595 -0.54733 -1.86494  0.89148  1.70043 -1.20527 -1.47802  1.47802  1.20527 -1.70043 -0.89148  1.86494  0.54733 -1.96595 -0.18454  2.00000  0.00000  0.00000  2.00000 -0.18454 -1.96595  0.54733  1.86494 -0.89148 -1.70043  1.20527  1.47802 -1.47802 -1.20527  1.70043  0.89148 -1.86494 -0.54733  1.96595  0.18454 -2.00000  0.18454  1.96595 -0.54733 -1.86494  0.89148  1.70043 -1.20527 -1.47802  1.47802  1.20527 -1.70043 -0.89148  1.86494  0.54733 -1.96595 -0.18454  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E19g    2.00000 -0.36750 -1.86494  1.05286  1.47802 -1.59603 -0.89148  1.92365  0.18454 -1.99147  0.54733  1.79033 -1.20527 -1.34739  1.70043  0.72248 -1.96595  0.00000  1.96595 -0.72248 -1.70043  1.34739  1.20527 -1.79033 -0.54733  1.99147 -0.18454 -1.92365  0.89148  1.59603 -1.47802 -1.05286  1.86494  0.36750 -2.00000  0.00000  0.00000  2.00000  0.36750  1.86494 -1.05286 -1.47802  1.59603  0.89148 -1.92365 -0.18454  1.99147 -0.54733 -1.79033  1.20527  1.34739 -1.70043 -0.72248  1.96595  0.00000 -1.96595  0.72248  1.70043 -1.34739 -1.20527  1.79033  0.54733 -1.99147  0.18454  1.92365 -0.89148 -1.59603  1.47802  1.05286 -1.86494 -0.36750 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E20g    2.00000 -0.54733 -1.70043  1.47802  0.89148 -1.96595  0.18454  1.86494 -1.20527 -1.20527  1.86494  0.18454 -1.96595  0.89148  1.47802 -1.70043 -0.54733  2.00000 -0.54733 -1.70043  1.47802  0.89148 -1.96595  0.18454  1.86494 -1.20527 -1.20527  1.86494  0.18454 -1.96595  0.89148  1.47802 -1.70043 -0.54733  2.00000  0.00000  0.00000  2.00000 -0.54733 -1.70043  1.47802  0.89148 -1.96595  0.18454  1.86494 -1.20527 -1.20527  1.86494  0.18454 -1.96595  0.89148  1.47802 -1.70043 -0.54733  2.00000 -0.54733 -1.70043  1.47802  0.89148 -1.96595  0.18454  1.86494 -1.20527 -1.20527  1.86494  0.18454 -1.96595  0.89148  1.47802 -1.70043 -0.54733  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E21g    2.00000 -0.72248 -1.47802  1.79033  0.18454 -1.92365  1.20527  1.05286 -1.96595  0.36750  1.70043 -1.59603 -0.54733  1.99147 -0.89148 -1.34739  1.86494  0.00000 -1.86494  1.34739  0.89148 -1.99147  0.54733  1.59603 -1.70043 -0.36750  1.96595 -1.05286 -1.20527  1.92365 -0.18454 -1.79033  1.47802  0.72248 -2.00000  0.00000  0.00000  2.00000  0.72248  1.47802 -1.79033 -0.18454  1.92365 -1.20527 -1.05286  1.96595 -0.36750 -1.70043  1.59603  0.54733 -1.99147  0.89148  1.34739 -1.86494  0.00000  1.86494 -1.34739 -0.89148  1.99147 -0.54733 -1.59603  1.70043  0.36750 -1.96595  1.05286  1.20527 -1.92365  0.18454  1.79033 -1.47802 -0.72248 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E22g    2.00000 -0.89148 -1.20527  1.96595 -0.54733 -1.47802  1.86494 -0.18454 -1.70043  1.70043  0.18454 -1.86494  1.47802  0.54733 -1.96595  1.20527  0.89148 -2.00000  0.89148  1.20527 -1.96595  0.54733  1.47802 -1.86494  0.18454  1.70043 -1.70043 -0.18454  1.86494 -1.47802 -0.54733  1.96595 -1.20527 -0.89148  2.00000  0.00000  0.00000  2.00000 -0.89148 -1.20527  1.96595 -0.54733 -1.47802  1.86494 -0.18454 -1.70043  1.70043  0.18454 -1.86494  1.47802  0.54733 -1.96595  1.20527  0.89148 -2.00000  0.89148  1.20527 -1.96595  0.54733  1.47802 -1.86494  0.18454  1.70043 -1.70043 -0.18454  1.86494 -1.47802 -0.54733  1.96595 -1.20527 -0.89148  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E23g    2.00000 -1.05286 -0.89148  1.99147 -1.20527 -0.72248  1.96595 -1.34739 -0.54733  1.92365 -1.47802 -0.36750  1.86494 -1.59603 -0.18454  1.79033 -1.70043  0.00000  1.70043 -1.79033  0.18454  1.59603 -1.86494  0.36750  1.47802 -1.92365  0.54733  1.34739 -1.96595  0.72248  1.20527 -1.99147  0.89148  1.05286 -2.00000  0.00000  0.00000  2.00000  1.05286  0.89148 -1.99147  1.20527  0.72248 -1.96595  1.34739  0.54733 -1.92365  1.47802  0.36750 -1.86494  1.59603  0.18454 -1.79033  1.70043  0.00000 -1.70043  1.79033 -0.18454 -1.59603  1.86494 -0.36750 -1.47802  1.92365 -0.54733 -1.34739  1.96595 -0.72248 -1.20527  1.99147 -0.89148 -1.05286 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E24g    2.00000 -1.20527 -0.54733  1.86494 -1.70043  0.18454  1.47802 -1.96595  0.89148  0.89148 -1.96595  1.47802  0.18454 -1.70043  1.86494 -0.54733 -1.20527  2.00000 -1.20527 -0.54733  1.86494 -1.70043  0.18454  1.47802 -1.96595  0.89148  0.89148 -1.96595  1.47802  0.18454 -1.70043  1.86494 -0.54733 -1.20527  2.00000  0.00000  0.00000  2.00000 -1.20527 -0.54733  1.86494 -1.70043  0.18454  1.47802 -1.96595  0.89148  0.89148 -1.96595  1.47802  0.18454 -1.70043  1.86494 -0.54733 -1.20527  2.00000 -1.20527 -0.54733  1.86494 -1.70043  0.18454  1.47802 -1.96595  0.89148  0.89148 -1.96595  1.47802  0.18454 -1.70043  1.86494 -0.54733 -1.20527  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E25g    2.00000 -1.34739 -0.18454  1.59603 -1.96595  1.05286  0.54733 -1.79033  1.86494 -0.72248 -0.89148  1.92365 -1.70043  0.36750  1.20527 -1.99147  1.47802  0.00000 -1.47802  1.99147 -1.20527 -0.36750  1.70043 -1.92365  0.89148  0.72248 -1.86494  1.79033 -0.54733 -1.05286  1.96595 -1.59603  0.18454  1.34739 -2.00000  0.00000  0.00000  2.00000  1.34739  0.18454 -1.59603  1.96595 -1.05286 -0.54733  1.79033 -1.86494  0.72248  0.89148 -1.92365  1.70043 -0.36750 -1.20527  1.99147 -1.47802  0.00000  1.47802 -1.99147  1.20527  0.36750 -1.70043  1.92365 -0.89148 -0.72248  1.86494 -1.79033  0.54733  1.05286 -1.96595  1.59603 -0.18454 -1.34739 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E26g    2.00000 -1.47802  0.18454  1.20527 -1.96595  1.70043 -0.54733 -0.89148  1.86494 -1.86494  0.89148  0.54733 -1.70043  1.96595 -1.20527 -0.18454  1.47802 -2.00000  1.47802 -0.18454 -1.20527  1.96595 -1.70043  0.54733  0.89148 -1.86494  1.86494 -0.89148 -0.54733  1.70043 -1.96595  1.20527  0.18454 -1.47802  2.00000  0.00000  0.00000  2.00000 -1.47802  0.18454  1.20527 -1.96595  1.70043 -0.54733 -0.89148  1.86494 -1.86494  0.89148  0.54733 -1.70043  1.96595 -1.20527 -0.18454  1.47802 -2.00000  1.47802 -0.18454 -1.20527  1.96595 -1.70043  0.54733  0.89148 -1.86494  1.86494 -0.89148 -0.54733  1.70043 -1.96595  1.20527  0.18454 -1.47802  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E27g    2.00000 -1.59603  0.54733  0.72248 -1.70043  1.99147 -1.47802  0.36750  0.89148 -1.79033  1.96595 -1.34739  0.18454  1.05286 -1.86494  1.92365 -1.20527  0.00000  1.20527 -1.92365  1.86494 -1.05286 -0.18454  1.34739 -1.96595  1.79033 -0.89148 -0.36750  1.47802 -1.99147  1.70043 -0.72248 -0.54733  1.59603 -2.00000  0.00000  0.00000  2.00000  1.59603 -0.54733 -0.72248  1.70043 -1.99147  1.47802 -0.36750 -0.89148  1.79033 -1.96595  1.34739 -0.18454 -1.05286  1.86494 -1.92365  1.20527  0.00000 -1.20527  1.92365 -1.86494  1.05286  0.18454 -1.34739  1.96595 -1.79033  0.89148  0.36750 -1.47802  1.99147 -1.70043  0.72248  0.54733 -1.59603 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E28g    2.00000 -1.70043  0.89148  0.18454 -1.20527  1.86494 -1.96595  1.47802 -0.54733 -0.54733  1.47802 -1.96595  1.86494 -1.20527  0.18454  0.89148 -1.70043  2.00000 -1.70043  0.89148  0.18454 -1.20527  1.86494 -1.96595  1.47802 -0.54733 -0.54733  1.47802 -1.96595  1.86494 -1.20527  0.18454  0.89148 -1.70043  2.00000  0.00000  0.00000  2.00000 -1.70043  0.89148  0.18454 -1.20527  1.86494 -1.96595  1.47802 -0.54733 -0.54733  1.47802 -1.96595  1.86494 -1.20527  0.18454  0.89148 -1.70043  2.00000 -1.70043  0.89148  0.18454 -1.20527  1.86494 -1.96595  1.47802 -0.54733 -0.54733  1.47802 -1.96595  1.86494 -1.20527  0.18454  0.89148 -1.70043  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E29g    2.00000 -1.79033  1.20527 -0.36750 -0.54733  1.34739 -1.86494  1.99147 -1.70043  1.05286 -0.18454 -0.72248  1.47802 -1.92365  1.96595 -1.59603  0.89148  0.00000 -0.89148  1.59603 -1.96595  1.92365 -1.47802  0.72248  0.18454 -1.05286  1.70043 -1.99147  1.86494 -1.34739  0.54733  0.36750 -1.20527  1.79033 -2.00000  0.00000  0.00000  2.00000  1.79033 -1.20527  0.36750  0.54733 -1.34739  1.86494 -1.99147  1.70043 -1.05286  0.18454  0.72248 -1.47802  1.92365 -1.96595  1.59603 -0.89148  0.00000  0.89148 -1.59603  1.96595 -1.92365  1.47802 -0.72248 -0.18454  1.05286 -1.70043  1.99147 -1.86494  1.34739 -0.54733 -0.36750  1.20527 -1.79033 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E30g    2.00000 -1.86494  1.47802 -0.89148  0.18454  0.54733 -1.20527  1.70043 -1.96595  1.96595 -1.70043  1.20527 -0.54733 -0.18454  0.89148 -1.47802  1.86494 -2.00000  1.86494 -1.47802  0.89148 -0.18454 -0.54733  1.20527 -1.70043  1.96595 -1.96595  1.70043 -1.20527  0.54733  0.18454 -0.89148  1.47802 -1.86494  2.00000  0.00000  0.00000  2.00000 -1.86494  1.47802 -0.89148  0.18454  0.54733 -1.20527  1.70043 -1.96595  1.96595 -1.70043  1.20527 -0.54733 -0.18454  0.89148 -1.47802  1.86494 -2.00000  1.86494 -1.47802  0.89148 -0.18454 -0.54733  1.20527 -1.70043  1.96595 -1.96595  1.70043 -1.20527  0.54733  0.18454 -0.89148  1.47802 -1.86494  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E31g    2.00000 -1.92365  1.70043 -1.34739  0.89148 -0.36750 -0.18454  0.72248 -1.20527  1.59603 -1.86494  1.99147 -1.96595  1.79033 -1.47802  1.05286 -0.54733  0.00000  0.54733 -1.05286  1.47802 -1.79033  1.96595 -1.99147  1.86494 -1.59603  1.20527 -0.72248  0.18454  0.36750 -0.89148  1.34739 -1.70043  1.92365 -2.00000  0.00000  0.00000  2.00000  1.92365 -1.70043  1.34739 -0.89148  0.36750  0.18454 -0.72248  1.20527 -1.59603  1.86494 -1.99147  1.96595 -1.79033  1.47802 -1.05286  0.54733  0.00000 -0.54733  1.05286 -1.47802  1.79033 -1.96595  1.99147 -1.86494  1.59603 -1.20527  0.72248 -0.18454 -0.36750  0.89148 -1.34739  1.70043 -1.92365 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E32g    2.00000 -1.96595  1.86494 -1.70043  1.47802 -1.20527  0.89148 -0.54733  0.18454  0.18454 -0.54733  0.89148 -1.20527  1.47802 -1.70043  1.86494 -1.96595  2.00000 -1.96595  1.86494 -1.70043  1.47802 -1.20527  0.89148 -0.54733  0.18454  0.18454 -0.54733  0.89148 -1.20527  1.47802 -1.70043  1.86494 -1.96595  2.00000  0.00000  0.00000  2.00000 -1.96595  1.86494 -1.70043  1.47802 -1.20527  0.89148 -0.54733  0.18454  0.18454 -0.54733  0.89148 -1.20527  1.47802 -1.70043  1.86494 -1.96595  2.00000 -1.96595  1.86494 -1.70043  1.47802 -1.20527  0.89148 -0.54733  0.18454  0.18454 -0.54733  0.89148 -1.20527  1.47802 -1.70043  1.86494 -1.96595  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E33g    2.00000 -1.99147  1.96595 -1.92365  1.86494 -1.79033  1.70043 -1.59603  1.47802 -1.34739  1.20527 -1.05286  0.89148 -0.72248  0.54733 -0.36750  0.18454  0.00000 -0.18454  0.36750 -0.54733  0.72248 -0.89148  1.05286 -1.20527  1.34739 -1.47802  1.59603 -1.70043  1.79033 -1.86494  1.92365 -1.96595  1.99147 -2.00000  0.00000  0.00000  2.00000  1.99147 -1.96595  1.92365 -1.86494  1.79033 -1.70043  1.59603 -1.47802  1.34739 -1.20527  1.05286 -0.89148  0.72248 -0.54733  0.36750 -0.18454  0.00000  0.18454 -0.36750  0.54733 -0.72248  0.89148 -1.05286  1.20527 -1.34739  1.47802 -1.59603  1.70043 -1.79033  1.86494 -1.92365  1.96595 -1.99147 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
A1u     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  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 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
A2u     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  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 -1.00000 -1.00000 -1.00000 -1.00000  1.00000  1.00000     ... ..T ..... ......T ......... ..........T .............
B1u     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  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  1.00000 -1.00000  1.00000 -1.00000 -1.00000  1.00000     ... ... ..... ....... ......... ........... .............
B2u     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  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  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
E1u     2.00000  1.99147  1.96595  1.92365  1.86494  1.79033  1.70043  1.59603  1.47802  1.34739  1.20527  1.05286  0.89148  0.72248  0.54733  0.36750  0.18454  0.00000 -0.18454 -0.36750 -0.54733 -0.72248 -0.89148 -1.05286 -1.20527 -1.34739 -1.47802 -1.59603 -1.70043 -1.79033 -1.86494 -1.92365 -1.96595 -1.99147 -2.00000  0.00000  0.00000 -2.00000  1.99147  1.96595  1.92365  1.86494  1.79033  1.70043  1.59603  1.47802  1.34739  1.20527  1.05286  0.89148  0.72248  0.54733  0.36750  0.18454  0.00000 -0.18454 -0.36750 -0.54733 -0.72248 -0.89148 -1.05286 -1.20527 -1.34739 -1.47802 -1.59603 -1.70043 -1.79033 -1.86494 -1.92365 -1.96595 -1.99147  2.00000  0.00000  0.00000     ... TT. ..... ....TT. ......... ........TT. .............
E2u     2.00000  1.96595  1.86494  1.70043  1.47802  1.20527  0.89148  0.54733  0.18454 -0.18454 -0.54733 -0.89148 -1.20527 -1.47802 -1.70043 -1.86494 -1.96595 -2.00000 -1.96595 -1.86494 -1.70043 -1.47802 -1.20527 -0.89148 -0.54733 -0.18454  0.18454  0.54733  0.89148  1.20527  1.47802  1.70043  1.86494  1.96595  2.00000  0.00000  0.00000 -2.00000 -1.96595 -1.86494 -1.70043 -1.47802 -1.20527 -0.89148 -0.54733 -0.18454  0.18454  0.54733  0.89148  1.20527  1.47802  1.70043  1.86494  1.96595  2.00000  1.96595  1.86494  1.70043  1.47802  1.20527  0.89148  0.54733  0.18454 -0.18454 -0.54733 -0.89148 -1.20527 -1.47802 -1.70043 -1.86494 -1.96595 -2.00000  0.00000  0.00000     ... ... ..... ..TT... ......... ......TT... .............
E3u     2.00000  1.92365  1.70043  1.34739  0.89148  0.36750 -0.18454 -0.72248 -1.20527 -1.59603 -1.86494 -1.99147 -1.96595 -1.79033 -1.47802 -1.05286 -0.54733  0.00000  0.54733  1.05286  1.47802  1.79033  1.96595  1.99147  1.86494  1.59603  1.20527  0.72248  0.18454 -0.36750 -0.89148 -1.34739 -1.70043 -1.92365 -2.00000  0.00000  0.00000 -2.00000  1.92365  1.70043  1.34739  0.89148  0.36750 -0.18454 -0.72248 -1.20527 -1.59603 -1.86494 -1.99147 -1.96595 -1.79033 -1.47802 -1.05286 -0.54733  0.00000  0.54733  1.05286  1.47802  1.79033  1.96595  1.99147  1.86494  1.59603  1.20527  0.72248  0.18454 -0.36750 -0.89148 -1.34739 -1.70043 -1.92365  2.00000  0.00000  0.00000     ... ... ..... TT..... ......... ....TT..... .............
E4u     2.00000  1.86494  1.47802  0.89148  0.18454 -0.54733 -1.20527 -1.70043 -1.96595 -1.96595 -1.70043 -1.20527 -0.54733  0.18454  0.89148  1.47802  1.86494  2.00000  1.86494  1.47802  0.89148  0.18454 -0.54733 -1.20527 -1.70043 -1.96595 -1.96595 -1.70043 -1.20527 -0.54733  0.18454  0.89148  1.47802  1.86494  2.00000  0.00000  0.00000 -2.00000 -1.86494 -1.47802 -0.89148 -0.18454  0.54733  1.20527  1.70043  1.96595  1.96595  1.70043  1.20527  0.54733 -0.18454 -0.89148 -1.47802 -1.86494 -2.00000 -1.86494 -1.47802 -0.89148 -0.18454  0.54733  1.20527  1.70043  1.96595  1.96595  1.70043  1.20527  0.54733 -0.18454 -0.89148 -1.47802 -1.86494 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ..TT....... .............
E5u     2.00000  1.79033  1.20527  0.36750 -0.54733 -1.34739 -1.86494 -1.99147 -1.70043 -1.05286 -0.18454  0.72248  1.47802  1.92365  1.96595  1.59603  0.89148  0.00000 -0.89148 -1.59603 -1.96595 -1.92365 -1.47802 -0.72248  0.18454  1.05286  1.70043  1.99147  1.86494  1.34739  0.54733 -0.36750 -1.20527 -1.79033 -2.00000  0.00000  0.00000 -2.00000  1.79033  1.20527  0.36750 -0.54733 -1.34739 -1.86494 -1.99147 -1.70043 -1.05286 -0.18454  0.72248  1.47802  1.92365  1.96595  1.59603  0.89148  0.00000 -0.89148 -1.59603 -1.96595 -1.92365 -1.47802 -0.72248  0.18454  1.05286  1.70043  1.99147  1.86494  1.34739  0.54733 -0.36750 -1.20527 -1.79033  2.00000  0.00000  0.00000     ... ... ..... ....... ......... TT......... .............
E6u     2.00000  1.70043  0.89148 -0.18454 -1.20527 -1.86494 -1.96595 -1.47802 -0.54733  0.54733  1.47802  1.96595  1.86494  1.20527  0.18454 -0.89148 -1.70043 -2.00000 -1.70043 -0.89148  0.18454  1.20527  1.86494  1.96595  1.47802  0.54733 -0.54733 -1.47802 -1.96595 -1.86494 -1.20527 -0.18454  0.89148  1.70043  2.00000  0.00000  0.00000 -2.00000 -1.70043 -0.89148  0.18454  1.20527  1.86494  1.96595  1.47802  0.54733 -0.54733 -1.47802 -1.96595 -1.86494 -1.20527 -0.18454  0.89148  1.70043  2.00000  1.70043  0.89148 -0.18454 -1.20527 -1.86494 -1.96595 -1.47802 -0.54733  0.54733  1.47802  1.96595  1.86494  1.20527  0.18454 -0.89148 -1.70043 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E7u     2.00000  1.59603  0.54733 -0.72248 -1.70043 -1.99147 -1.47802 -0.36750  0.89148  1.79033  1.96595  1.34739  0.18454 -1.05286 -1.86494 -1.92365 -1.20527  0.00000  1.20527  1.92365  1.86494  1.05286 -0.18454 -1.34739 -1.96595 -1.79033 -0.89148  0.36750  1.47802  1.99147  1.70043  0.72248 -0.54733 -1.59603 -2.00000  0.00000  0.00000 -2.00000  1.59603  0.54733 -0.72248 -1.70043 -1.99147 -1.47802 -0.36750  0.89148  1.79033  1.96595  1.34739  0.18454 -1.05286 -1.86494 -1.92365 -1.20527  0.00000  1.20527  1.92365  1.86494  1.05286 -0.18454 -1.34739 -1.96595 -1.79033 -0.89148  0.36750  1.47802  1.99147  1.70043  0.72248 -0.54733 -1.59603  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E8u     2.00000  1.47802  0.18454 -1.20527 -1.96595 -1.70043 -0.54733  0.89148  1.86494  1.86494  0.89148 -0.54733 -1.70043 -1.96595 -1.20527  0.18454  1.47802  2.00000  1.47802  0.18454 -1.20527 -1.96595 -1.70043 -0.54733  0.89148  1.86494  1.86494  0.89148 -0.54733 -1.70043 -1.96595 -1.20527  0.18454  1.47802  2.00000  0.00000  0.00000 -2.00000 -1.47802 -0.18454  1.20527  1.96595  1.70043  0.54733 -0.89148 -1.86494 -1.86494 -0.89148  0.54733  1.70043  1.96595  1.20527 -0.18454 -1.47802 -2.00000 -1.47802 -0.18454  1.20527  1.96595  1.70043  0.54733 -0.89148 -1.86494 -1.86494 -0.89148  0.54733  1.70043  1.96595  1.20527 -0.18454 -1.47802 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E9u     2.00000  1.34739 -0.18454 -1.59603 -1.96595 -1.05286  0.54733  1.79033  1.86494  0.72248 -0.89148 -1.92365 -1.70043 -0.36750  1.20527  1.99147  1.47802  0.00000 -1.47802 -1.99147 -1.20527  0.36750  1.70043  1.92365  0.89148 -0.72248 -1.86494 -1.79033 -0.54733  1.05286  1.96595  1.59603  0.18454 -1.34739 -2.00000  0.00000  0.00000 -2.00000  1.34739 -0.18454 -1.59603 -1.96595 -1.05286  0.54733  1.79033  1.86494  0.72248 -0.89148 -1.92365 -1.70043 -0.36750  1.20527  1.99147  1.47802  0.00000 -1.47802 -1.99147 -1.20527  0.36750  1.70043  1.92365  0.89148 -0.72248 -1.86494 -1.79033 -0.54733  1.05286  1.96595  1.59603  0.18454 -1.34739  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E10u    2.00000  1.20527 -0.54733 -1.86494 -1.70043 -0.18454  1.47802  1.96595  0.89148 -0.89148 -1.96595 -1.47802  0.18454  1.70043  1.86494  0.54733 -1.20527 -2.00000 -1.20527  0.54733  1.86494  1.70043  0.18454 -1.47802 -1.96595 -0.89148  0.89148  1.96595  1.47802 -0.18454 -1.70043 -1.86494 -0.54733  1.20527  2.00000  0.00000  0.00000 -2.00000 -1.20527  0.54733  1.86494  1.70043  0.18454 -1.47802 -1.96595 -0.89148  0.89148  1.96595  1.47802 -0.18454 -1.70043 -1.86494 -0.54733  1.20527  2.00000  1.20527 -0.54733 -1.86494 -1.70043 -0.18454  1.47802  1.96595  0.89148 -0.89148 -1.96595 -1.47802  0.18454  1.70043  1.86494  0.54733 -1.20527 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E11u    2.00000  1.05286 -0.89148 -1.99147 -1.20527  0.72248  1.96595  1.34739 -0.54733 -1.92365 -1.47802  0.36750  1.86494  1.59603 -0.18454 -1.79033 -1.70043  0.00000  1.70043  1.79033  0.18454 -1.59603 -1.86494 -0.36750  1.47802  1.92365  0.54733 -1.34739 -1.96595 -0.72248  1.20527  1.99147  0.89148 -1.05286 -2.00000  0.00000  0.00000 -2.00000  1.05286 -0.89148 -1.99147 -1.20527  0.72248  1.96595  1.34739 -0.54733 -1.92365 -1.47802  0.36750  1.86494  1.59603 -0.18454 -1.79033 -1.70043  0.00000  1.70043  1.79033  0.18454 -1.59603 -1.86494 -0.36750  1.47802  1.92365  0.54733 -1.34739 -1.96595 -0.72248  1.20527  1.99147  0.89148 -1.05286  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E12u    2.00000  0.89148 -1.20527 -1.96595 -0.54733  1.47802  1.86494  0.18454 -1.70043 -1.70043  0.18454  1.86494  1.47802 -0.54733 -1.96595 -1.20527  0.89148  2.00000  0.89148 -1.20527 -1.96595 -0.54733  1.47802  1.86494  0.18454 -1.70043 -1.70043  0.18454  1.86494  1.47802 -0.54733 -1.96595 -1.20527  0.89148  2.00000  0.00000  0.00000 -2.00000 -0.89148  1.20527  1.96595  0.54733 -1.47802 -1.86494 -0.18454  1.70043  1.70043 -0.18454 -1.86494 -1.47802  0.54733  1.96595  1.20527 -0.89148 -2.00000 -0.89148  1.20527  1.96595  0.54733 -1.47802 -1.86494 -0.18454  1.70043  1.70043 -0.18454 -1.86494 -1.47802  0.54733  1.96595  1.20527 -0.89148 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E13u    2.00000  0.72248 -1.47802 -1.79033  0.18454  1.92365  1.20527 -1.05286 -1.96595 -0.36750  1.70043  1.59603 -0.54733 -1.99147 -0.89148  1.34739  1.86494  0.00000 -1.86494 -1.34739  0.89148  1.99147  0.54733 -1.59603 -1.70043  0.36750  1.96595  1.05286 -1.20527 -1.92365 -0.18454  1.79033  1.47802 -0.72248 -2.00000  0.00000  0.00000 -2.00000  0.72248 -1.47802 -1.79033  0.18454  1.92365  1.20527 -1.05286 -1.96595 -0.36750  1.70043  1.59603 -0.54733 -1.99147 -0.89148  1.34739  1.86494  0.00000 -1.86494 -1.34739  0.89148  1.99147  0.54733 -1.59603 -1.70043  0.36750  1.96595  1.05286 -1.20527 -1.92365 -0.18454  1.79033  1.47802 -0.72248  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E14u    2.00000  0.54733 -1.70043 -1.47802  0.89148  1.96595  0.18454 -1.86494 -1.20527  1.20527  1.86494 -0.18454 -1.96595 -0.89148  1.47802  1.70043 -0.54733 -2.00000 -0.54733  1.70043  1.47802 -0.89148 -1.96595 -0.18454  1.86494  1.20527 -1.20527 -1.86494  0.18454  1.96595  0.89148 -1.47802 -1.70043  0.54733  2.00000  0.00000  0.00000 -2.00000 -0.54733  1.70043  1.47802 -0.89148 -1.96595 -0.18454  1.86494  1.20527 -1.20527 -1.86494  0.18454  1.96595  0.89148 -1.47802 -1.70043  0.54733  2.00000  0.54733 -1.70043 -1.47802  0.89148  1.96595  0.18454 -1.86494 -1.20527  1.20527  1.86494 -0.18454 -1.96595 -0.89148  1.47802  1.70043 -0.54733 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E15u    2.00000  0.36750 -1.86494 -1.05286  1.47802  1.59603 -0.89148 -1.92365  0.18454  1.99147  0.54733 -1.79033 -1.20527  1.34739  1.70043 -0.72248 -1.96595  0.00000  1.96595  0.72248 -1.70043 -1.34739  1.20527  1.79033 -0.54733 -1.99147 -0.18454  1.92365  0.89148 -1.59603 -1.47802  1.05286  1.86494 -0.36750 -2.00000  0.00000  0.00000 -2.00000  0.36750 -1.86494 -1.05286  1.47802  1.59603 -0.89148 -1.92365  0.18454  1.99147  0.54733 -1.79033 -1.20527  1.34739  1.70043 -0.72248 -1.96595  0.00000  1.96595  0.72248 -1.70043 -1.34739  1.20527  1.79033 -0.54733 -1.99147 -0.18454  1.92365  0.89148 -1.59603 -1.47802  1.05286  1.86494 -0.36750  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E16u    2.00000  0.18454 -1.96595 -0.54733  1.86494  0.89148 -1.70043 -1.20527  1.47802  1.47802 -1.20527 -1.70043  0.89148  1.86494 -0.54733 -1.96595  0.18454  2.00000  0.18454 -1.96595 -0.54733  1.86494  0.89148 -1.70043 -1.20527  1.47802  1.47802 -1.20527 -1.70043  0.89148  1.86494 -0.54733 -1.96595  0.18454  2.00000  0.00000  0.00000 -2.00000 -0.18454  1.96595  0.54733 -1.86494 -0.89148  1.70043  1.20527 -1.47802 -1.47802  1.20527  1.70043 -0.89148 -1.86494  0.54733  1.96595 -0.18454 -2.00000 -0.18454  1.96595  0.54733 -1.86494 -0.89148  1.70043  1.20527 -1.47802 -1.47802  1.20527  1.70043 -0.89148 -1.86494  0.54733  1.96595 -0.18454 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E17u    2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  0.00000 -2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E18u    2.00000 -0.18454 -1.96595  0.54733  1.86494 -0.89148 -1.70043  1.20527  1.47802 -1.47802 -1.20527  1.70043  0.89148 -1.86494 -0.54733  1.96595  0.18454 -2.00000  0.18454  1.96595 -0.54733 -1.86494  0.89148  1.70043 -1.20527 -1.47802  1.47802  1.20527 -1.70043 -0.89148  1.86494  0.54733 -1.96595 -0.18454  2.00000  0.00000  0.00000 -2.00000  0.18454  1.96595 -0.54733 -1.86494  0.89148  1.70043 -1.20527 -1.47802  1.47802  1.20527 -1.70043 -0.89148  1.86494  0.54733 -1.96595 -0.18454  2.00000 -0.18454 -1.96595  0.54733  1.86494 -0.89148 -1.70043  1.20527  1.47802 -1.47802 -1.20527  1.70043  0.89148 -1.86494 -0.54733  1.96595  0.18454 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E19u    2.00000 -0.36750 -1.86494  1.05286  1.47802 -1.59603 -0.89148  1.92365  0.18454 -1.99147  0.54733  1.79033 -1.20527 -1.34739  1.70043  0.72248 -1.96595  0.00000  1.96595 -0.72248 -1.70043  1.34739  1.20527 -1.79033 -0.54733  1.99147 -0.18454 -1.92365  0.89148  1.59603 -1.47802 -1.05286  1.86494  0.36750 -2.00000  0.00000  0.00000 -2.00000 -0.36750 -1.86494  1.05286  1.47802 -1.59603 -0.89148  1.92365  0.18454 -1.99147  0.54733  1.79033 -1.20527 -1.34739  1.70043  0.72248 -1.96595  0.00000  1.96595 -0.72248 -1.70043  1.34739  1.20527 -1.79033 -0.54733  1.99147 -0.18454 -1.92365  0.89148  1.59603 -1.47802 -1.05286  1.86494  0.36750  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E20u    2.00000 -0.54733 -1.70043  1.47802  0.89148 -1.96595  0.18454  1.86494 -1.20527 -1.20527  1.86494  0.18454 -1.96595  0.89148  1.47802 -1.70043 -0.54733  2.00000 -0.54733 -1.70043  1.47802  0.89148 -1.96595  0.18454  1.86494 -1.20527 -1.20527  1.86494  0.18454 -1.96595  0.89148  1.47802 -1.70043 -0.54733  2.00000  0.00000  0.00000 -2.00000  0.54733  1.70043 -1.47802 -0.89148  1.96595 -0.18454 -1.86494  1.20527  1.20527 -1.86494 -0.18454  1.96595 -0.89148 -1.47802  1.70043  0.54733 -2.00000  0.54733  1.70043 -1.47802 -0.89148  1.96595 -0.18454 -1.86494  1.20527  1.20527 -1.86494 -0.18454  1.96595 -0.89148 -1.47802  1.70043  0.54733 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E21u    2.00000 -0.72248 -1.47802  1.79033  0.18454 -1.92365  1.20527  1.05286 -1.96595  0.36750  1.70043 -1.59603 -0.54733  1.99147 -0.89148 -1.34739  1.86494  0.00000 -1.86494  1.34739  0.89148 -1.99147  0.54733  1.59603 -1.70043 -0.36750  1.96595 -1.05286 -1.20527  1.92365 -0.18454 -1.79033  1.47802  0.72248 -2.00000  0.00000  0.00000 -2.00000 -0.72248 -1.47802  1.79033  0.18454 -1.92365  1.20527  1.05286 -1.96595  0.36750  1.70043 -1.59603 -0.54733  1.99147 -0.89148 -1.34739  1.86494  0.00000 -1.86494  1.34739  0.89148 -1.99147  0.54733  1.59603 -1.70043 -0.36750  1.96595 -1.05286 -1.20527  1.92365 -0.18454 -1.79033  1.47802  0.72248  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E22u    2.00000 -0.89148 -1.20527  1.96595 -0.54733 -1.47802  1.86494 -0.18454 -1.70043  1.70043  0.18454 -1.86494  1.47802  0.54733 -1.96595  1.20527  0.89148 -2.00000  0.89148  1.20527 -1.96595  0.54733  1.47802 -1.86494  0.18454  1.70043 -1.70043 -0.18454  1.86494 -1.47802 -0.54733  1.96595 -1.20527 -0.89148  2.00000  0.00000  0.00000 -2.00000  0.89148  1.20527 -1.96595  0.54733  1.47802 -1.86494  0.18454  1.70043 -1.70043 -0.18454  1.86494 -1.47802 -0.54733  1.96595 -1.20527 -0.89148  2.00000 -0.89148 -1.20527  1.96595 -0.54733 -1.47802  1.86494 -0.18454 -1.70043  1.70043  0.18454 -1.86494  1.47802  0.54733 -1.96595  1.20527  0.89148 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E23u    2.00000 -1.05286 -0.89148  1.99147 -1.20527 -0.72248  1.96595 -1.34739 -0.54733  1.92365 -1.47802 -0.36750  1.86494 -1.59603 -0.18454  1.79033 -1.70043  0.00000  1.70043 -1.79033  0.18454  1.59603 -1.86494  0.36750  1.47802 -1.92365  0.54733  1.34739 -1.96595  0.72248  1.20527 -1.99147  0.89148  1.05286 -2.00000  0.00000  0.00000 -2.00000 -1.05286 -0.89148  1.99147 -1.20527 -0.72248  1.96595 -1.34739 -0.54733  1.92365 -1.47802 -0.36750  1.86494 -1.59603 -0.18454  1.79033 -1.70043  0.00000  1.70043 -1.79033  0.18454  1.59603 -1.86494  0.36750  1.47802 -1.92365  0.54733  1.34739 -1.96595  0.72248  1.20527 -1.99147  0.89148  1.05286  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E24u    2.00000 -1.20527 -0.54733  1.86494 -1.70043  0.18454  1.47802 -1.96595  0.89148  0.89148 -1.96595  1.47802  0.18454 -1.70043  1.86494 -0.54733 -1.20527  2.00000 -1.20527 -0.54733  1.86494 -1.70043  0.18454  1.47802 -1.96595  0.89148  0.89148 -1.96595  1.47802  0.18454 -1.70043  1.86494 -0.54733 -1.20527  2.00000  0.00000  0.00000 -2.00000  1.20527  0.54733 -1.86494  1.70043 -0.18454 -1.47802  1.96595 -0.89148 -0.89148  1.96595 -1.47802 -0.18454  1.70043 -1.86494  0.54733  1.20527 -2.00000  1.20527  0.54733 -1.86494  1.70043 -0.18454 -1.47802  1.96595 -0.89148 -0.89148  1.96595 -1.47802 -0.18454  1.70043 -1.86494  0.54733  1.20527 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E25u    2.00000 -1.34739 -0.18454  1.59603 -1.96595  1.05286  0.54733 -1.79033  1.86494 -0.72248 -0.89148  1.92365 -1.70043  0.36750  1.20527 -1.99147  1.47802  0.00000 -1.47802  1.99147 -1.20527 -0.36750  1.70043 -1.92365  0.89148  0.72248 -1.86494  1.79033 -0.54733 -1.05286  1.96595 -1.59603  0.18454  1.34739 -2.00000  0.00000  0.00000 -2.00000 -1.34739 -0.18454  1.59603 -1.96595  1.05286  0.54733 -1.79033  1.86494 -0.72248 -0.89148  1.92365 -1.70043  0.36750  1.20527 -1.99147  1.47802  0.00000 -1.47802  1.99147 -1.20527 -0.36750  1.70043 -1.92365  0.89148  0.72248 -1.86494  1.79033 -0.54733 -1.05286  1.96595 -1.59603  0.18454  1.34739  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E26u    2.00000 -1.47802  0.18454  1.20527 -1.96595  1.70043 -0.54733 -0.89148  1.86494 -1.86494  0.89148  0.54733 -1.70043  1.96595 -1.20527 -0.18454  1.47802 -2.00000  1.47802 -0.18454 -1.20527  1.96595 -1.70043  0.54733  0.89148 -1.86494  1.86494 -0.89148 -0.54733  1.70043 -1.96595  1.20527  0.18454 -1.47802  2.00000  0.00000  0.00000 -2.00000  1.47802 -0.18454 -1.20527  1.96595 -1.70043  0.54733  0.89148 -1.86494  1.86494 -0.89148 -0.54733  1.70043 -1.96595  1.20527  0.18454 -1.47802  2.00000 -1.47802  0.18454  1.20527 -1.96595  1.70043 -0.54733 -0.89148  1.86494 -1.86494  0.89148  0.54733 -1.70043  1.96595 -1.20527 -0.18454  1.47802 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E27u    2.00000 -1.59603  0.54733  0.72248 -1.70043  1.99147 -1.47802  0.36750  0.89148 -1.79033  1.96595 -1.34739  0.18454  1.05286 -1.86494  1.92365 -1.20527  0.00000  1.20527 -1.92365  1.86494 -1.05286 -0.18454  1.34739 -1.96595  1.79033 -0.89148 -0.36750  1.47802 -1.99147  1.70043 -0.72248 -0.54733  1.59603 -2.00000  0.00000  0.00000 -2.00000 -1.59603  0.54733  0.72248 -1.70043  1.99147 -1.47802  0.36750  0.89148 -1.79033  1.96595 -1.34739  0.18454  1.05286 -1.86494  1.92365 -1.20527  0.00000  1.20527 -1.92365  1.86494 -1.05286 -0.18454  1.34739 -1.96595  1.79033 -0.89148 -0.36750  1.47802 -1.99147  1.70043 -0.72248 -0.54733  1.59603  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E28u    2.00000 -1.70043  0.89148  0.18454 -1.20527  1.86494 -1.96595  1.47802 -0.54733 -0.54733  1.47802 -1.96595  1.86494 -1.20527  0.18454  0.89148 -1.70043  2.00000 -1.70043  0.89148  0.18454 -1.20527  1.86494 -1.96595  1.47802 -0.54733 -0.54733  1.47802 -1.96595  1.86494 -1.20527  0.18454  0.89148 -1.70043  2.00000  0.00000  0.00000 -2.00000  1.70043 -0.89148 -0.18454  1.20527 -1.86494  1.96595 -1.47802  0.54733  0.54733 -1.47802  1.96595 -1.86494  1.20527 -0.18454 -0.89148  1.70043 -2.00000  1.70043 -0.89148 -0.18454  1.20527 -1.86494  1.96595 -1.47802  0.54733  0.54733 -1.47802  1.96595 -1.86494  1.20527 -0.18454 -0.89148  1.70043 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E29u    2.00000 -1.79033  1.20527 -0.36750 -0.54733  1.34739 -1.86494  1.99147 -1.70043  1.05286 -0.18454 -0.72248  1.47802 -1.92365  1.96595 -1.59603  0.89148  0.00000 -0.89148  1.59603 -1.96595  1.92365 -1.47802  0.72248  0.18454 -1.05286  1.70043 -1.99147  1.86494 -1.34739  0.54733  0.36750 -1.20527  1.79033 -2.00000  0.00000  0.00000 -2.00000 -1.79033  1.20527 -0.36750 -0.54733  1.34739 -1.86494  1.99147 -1.70043  1.05286 -0.18454 -0.72248  1.47802 -1.92365  1.96595 -1.59603  0.89148  0.00000 -0.89148  1.59603 -1.96595  1.92365 -1.47802  0.72248  0.18454 -1.05286  1.70043 -1.99147  1.86494 -1.34739  0.54733  0.36750 -1.20527  1.79033  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E30u    2.00000 -1.86494  1.47802 -0.89148  0.18454  0.54733 -1.20527  1.70043 -1.96595  1.96595 -1.70043  1.20527 -0.54733 -0.18454  0.89148 -1.47802  1.86494 -2.00000  1.86494 -1.47802  0.89148 -0.18454 -0.54733  1.20527 -1.70043  1.96595 -1.96595  1.70043 -1.20527  0.54733  0.18454 -0.89148  1.47802 -1.86494  2.00000  0.00000  0.00000 -2.00000  1.86494 -1.47802  0.89148 -0.18454 -0.54733  1.20527 -1.70043  1.96595 -1.96595  1.70043 -1.20527  0.54733  0.18454 -0.89148  1.47802 -1.86494  2.00000 -1.86494  1.47802 -0.89148  0.18454  0.54733 -1.20527  1.70043 -1.96595  1.96595 -1.70043  1.20527 -0.54733 -0.18454  0.89148 -1.47802  1.86494 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E31u    2.00000 -1.92365  1.70043 -1.34739  0.89148 -0.36750 -0.18454  0.72248 -1.20527  1.59603 -1.86494  1.99147 -1.96595  1.79033 -1.47802  1.05286 -0.54733  0.00000  0.54733 -1.05286  1.47802 -1.79033  1.96595 -1.99147  1.86494 -1.59603  1.20527 -0.72248  0.18454  0.36750 -0.89148  1.34739 -1.70043  1.92365 -2.00000  0.00000  0.00000 -2.00000 -1.92365  1.70043 -1.34739  0.89148 -0.36750 -0.18454  0.72248 -1.20527  1.59603 -1.86494  1.99147 -1.96595  1.79033 -1.47802  1.05286 -0.54733  0.00000  0.54733 -1.05286  1.47802 -1.79033  1.96595 -1.99147  1.86494 -1.59603  1.20527 -0.72248  0.18454  0.36750 -0.89148  1.34739 -1.70043  1.92365  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E32u    2.00000 -1.96595  1.86494 -1.70043  1.47802 -1.20527  0.89148 -0.54733  0.18454  0.18454 -0.54733  0.89148 -1.20527  1.47802 -1.70043  1.86494 -1.96595  2.00000 -1.96595  1.86494 -1.70043  1.47802 -1.20527  0.89148 -0.54733  0.18454  0.18454 -0.54733  0.89148 -1.20527  1.47802 -1.70043  1.86494 -1.96595  2.00000  0.00000  0.00000 -2.00000  1.96595 -1.86494  1.70043 -1.47802  1.20527 -0.89148  0.54733 -0.18454 -0.18454  0.54733 -0.89148  1.20527 -1.47802  1.70043 -1.86494  1.96595 -2.00000  1.96595 -1.86494  1.70043 -1.47802  1.20527 -0.89148  0.54733 -0.18454 -0.18454  0.54733 -0.89148  1.20527 -1.47802  1.70043 -1.86494  1.96595 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E33u    2.00000 -1.99147  1.96595 -1.92365  1.86494 -1.79033  1.70043 -1.59603  1.47802 -1.34739  1.20527 -1.05286  0.89148 -0.72248  0.54733 -0.36750  0.18454  0.00000 -0.18454  0.36750 -0.54733  0.72248 -0.89148  1.05286 -1.20527  1.34739 -1.47802  1.59603 -1.70043  1.79033 -1.86494  1.92365 -1.96595  1.99147 -2.00000  0.00000  0.00000 -2.00000 -1.99147  1.96595 -1.92365  1.86494 -1.79033  1.70043 -1.59603  1.47802 -1.34739  1.20527 -1.05286  0.89148 -0.72248  0.54733 -0.36750  0.18454  0.00000 -0.18454  0.36750 -0.54733  0.72248 -0.89148  1.05286 -1.20527  1.34739 -1.47802  1.59603 -1.70043  1.79033 -1.86494  1.92365 -1.96595  1.99147  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.991468352590 = 2*cos(2*π/68) = 2*cos(π/34) = √2*√17−√17+√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17/4
                               1.965946199368 = 2*cos(4*π/68) = 2*cos(π/17) = (1−√17+√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17)/8
                               1.923651286346 = 2*cos(6*π/68) = 2*cos(3*π/34) = √2*√17+√17+√34+2*√17+2*√17−3*√17+√34+2*√17−2*√34−2*√17/4
                               1.864944458809 = 2*cos(8*π/68) = 2*cos(2*π/17) = (−1+√17+√34−2*√17+2*√17+3*√17−√34−2*√17−2*√34+2*√17)/8
                               1.790326582710 = 2*cos(10*π/68) = 2*cos(5*π/34) = √2*√17+√17+√34+2*√17−2*√17−3*√17+√34+2*√17−2*√34−2*√17/4
                               1.700434271459 = 2*cos(12*π/68) = 2*cos(3*π/17) = (1+√17+√34+2*√17+2*√17−3*√17+√34+2*√17−2*√34−2*√17)/8
                               1.596034454560 = 2*cos(14*π/68) = 2*cos(7*π/34) = √2*√17+√17−√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17/4
                               1.478017834441 = 2*cos(16*π/68) = 2*cos(4*π/17) = (−1+√17−√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17)/8
                               1.347391287293 = 2*cos(18*π/68) = 2*cos(9*π/34) = √2*√17−√17−√34−2*√17+2*√17+3*√17−√34−2*√17−2*√34+2*√17/4
                               1.205269272759 = 2*cos(20*π/68) = 2*cos(5*π/17) = (1+√17+√34+2*√17−2*√17−3*√17+√34+2*√17−2*√34−2*√17)/8
                               1.052864325755 = 2*cos(22*π/68) = 2*cos(11*π/34) = √2*√17+√17−√34+2*√17−2*√17−3*√17−√34+2*√17+2*√34−2*√17/4
                               0.891476711553 = 2*cos(24*π/68) = 2*cos(6*π/17) = (−1−√17+√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17)/8
                               0.722483332374 = 2*cos(26*π/68) = 2*cos(13*π/34) = √2*√17−√17+√34−2*√17−2*√17+3*√17+√34−2*√17+2*√34+2*√17/4
                               0.547325980144 = 2*cos(28*π/68) = 2*cos(7*π/17) = (1+√17−√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17)/8
                               0.367499035633 = 2*cos(30*π/68) = 2*cos(15*π/34) = √2*√17−√17−√34−2*√17−2*√17+3*√17−√34−2*√17−2*√34+2*√17/4
                               0.184536718927 = 2*cos(32*π/68) = 2*cos(8*π/17) = (−1+√17+√34−2*√17−2*√17+3*√17−√34−2*√17−2*√34+2*√17)/8



 Symmetry of Rotations and Cartesian products

A1g  d+g+i+k+m    z2, z4, z6 
A2g  R            Rz 
E1g  R+d+g+i+k+m  {Rx, Ry}, {xz, yz}, {xz3, yz3}, {xz5, yz5} 
E2g  d+g+i+k+m    {x2y2, xy}, {z2(x2y2), xyz2}, {z4(x2y2), xyz4} 
E3g  g+i+k+m      {xz(x2−3y2), yz(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E4g  g+i+k+m      {(x2y2)2−4x2y2, xy(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E5g  i+k+m        {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E6g  i+k+m        {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E7g  k+m 
E8g  k+m 
E9g  m 
E10g m 
A2u  p+f+h+j+l    z, z3, z5 
E1u  p+f+h+j+l    {x, y}, {xz2, yz2}, {xz4, yz4} 
E2u  f+h+j+l      {z(x2y2), xyz}, {z3(x2y2), xyz3} 
E3u  f+h+j+l      {x(x2−3y2), y(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)} 
E4u  h+j+l        {z((x2y2)2−4x2y2), xyz(x2y2)} 
E5u  h+j+l        {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)} 
E6u  j+l 
E7u  j+l 
E8u  l 
E9u  l 

 Notes:

    α  The order of the D68h point group is 272, and the order of the principal axis (C68) is 68. The group has 74 irreducible representations.

    β  The D68h point group is generated by three symmetry elements that are canonically chosen C68, C2 and i.
       Other choices include σh instead of i, or any of C2, σv or σd instead of C2. Also, some ternary combinations of C2, C2, σv and σd act as generators.
       Lastly, the S68 can be chosen, together with i or σh and any one of C2, C2, σv or σd.

    γ  There are two different sets of twofold symmetry axes perpendicular to the principal axis (z axis in standard orientation).
       By convention, the set denoted as C2 contains both the x and y axes.

    δ  There are two different sets of symmetry planes containing the principal axis (z axis in standard orientation).
       By convention, the set denoted as σv contains both the xz and the yz planes.

    ε  The lowest nonvanishing multipole moment in D68h is 4 (quadrupole moment).

    ζ  This point group is non-Abelian (some symmetry operations are not commutative).
       Therefore, the character table contains multi-membered classes and degenerate irreducible representations.

    η  Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6.
       These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1.
       All characters are algebraic integers of a degree much less than half the order of the principal axis.

    θ  The point group corresponds to a constructible polygon, as the order of the principal axis is a product of any number
       of different Fermat primes (3,5,17,257,65537) times an arbitrary power of two. Therefore, all characters have an
       algebraic degree which is a power of two and can be expressed as radicals involving only square roots and integer numbers.

    ι  That a regular 17-gon can be constructed with compass and ruler was unknown to mathematicians until Gauss proved it in 1796.
       The first actual construction was performed thirty years later by Johannes Erchinger in 1825.
       Regular polygons of order 34,68,136 etc are easily derived from the regular 17-gon by successive halving of angles.

This Character Table for the D68h point group was created by Gernot Katzer.

For other groups and some explanations, see the Main Page.