Character table for the D67d point group

D67d     E         2 C67     2 C67^2   2 C67^3   2 C67^4   2 C67^5   2 C67^6   2 C67^7   2 C67^8   2 C67^9   2 C67^10  2 C67^11  2 C67^12  2 C67^13  2 C67^14  2 C67^15  2 C67^16  2 C67^17  2 C67^18  2 C67^19  2 C67^20  2 C67^21  2 C67^22  2 C67^23  2 C67^24  2 C67^25  2 C67^26  2 C67^27  2 C67^28  2 C67^29  2 C67^30  2 C67^31  2 C67^32  2 C67^33  67 C2'    i         2 S134    2 S134^3  2 S134^5  2 S134^7  2 S134^9  2 S134^11 2 S134^13 2 S134^15 2 S134^17 2 S134^19 2 S134^21 2 S134^23 2 S134^25 2 S134^27 2 S134^29 2 S134^31 2 S134^33 2 S134^35 2 S134^37 2 S134^39 2 S134^41 2 S134^43 2 S134^45 2 S134^47 2 S134^49 2 S134^51 2 S134^53 2 S134^55 2 S134^57 2 S134^59 2 S134^61 2 S134^63 2 S134^65 67 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     ... ... ....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     ..T ... ..... ....... ......... ........... .............
E1g      2.00000   1.99121   1.96493   1.92137   1.86093   1.78414   1.69166   1.58432   1.46306   1.32894   1.18314   1.02695   0.86173   0.68893   0.51009   0.32675   0.14055  -0.04689  -0.23391  -0.41888  -0.60017  -0.77618  -0.94538  -1.10626  -1.25743  -1.39754  -1.52537  -1.63980  -1.73981  -1.82454  -1.89323  -1.94529  -1.98025  -1.99780   0.00000   2.00000  -1.99780  -1.98025  -1.94529  -1.89323  -1.82454  -1.73981  -1.63980  -1.52537  -1.39754  -1.25743  -1.10626  -0.94538  -0.77618  -0.60017  -0.41888  -0.23391  -0.04689   0.14055   0.32675   0.51009   0.68893   0.86173   1.02695   1.18314   1.32894   1.46306   1.58432   1.69166   1.78414   1.86093   1.92137   1.96493   1.99121   0.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.
E2g      2.00000   1.96493   1.86093   1.69166   1.46306   1.18314   0.86173   0.51009   0.14055  -0.23391  -0.60017  -0.94538  -1.25743  -1.52537  -1.73981  -1.89323  -1.98025  -1.99780  -1.94529  -1.82454  -1.63980  -1.39754  -1.10626  -0.77618  -0.41888  -0.04689   0.32675   0.68893   1.02695   1.32894   1.58432   1.78414   1.92137   1.99121   0.00000   2.00000   1.99121   1.92137   1.78414   1.58432   1.32894   1.02695   0.68893   0.32675  -0.04689  -0.41888  -0.77618  -1.10626  -1.39754  -1.63980  -1.82454  -1.94529  -1.99780  -1.98025  -1.89323  -1.73981  -1.52537  -1.25743  -0.94538  -0.60017  -0.23391   0.14055   0.51009   0.86173   1.18314   1.46306   1.69166   1.86093   1.96493   0.00000     ... ... TT... ....... ....TT... ........... ........TT...
E3g      2.00000   1.92137   1.69166   1.32894   0.86173   0.32675  -0.23391  -0.77618  -1.25743  -1.63980  -1.89323  -1.99780  -1.94529  -1.73981  -1.39754  -0.94538  -0.41888   0.14055   0.68893   1.18314   1.58432   1.86093   1.99121   1.96493   1.78414   1.46306   1.02695   0.51009  -0.04689  -0.60017  -1.10626  -1.52537  -1.82454  -1.98025   0.00000   2.00000  -1.98025  -1.82454  -1.52537  -1.10626  -0.60017  -0.04689   0.51009   1.02695   1.46306   1.78414   1.96493   1.99121   1.86093   1.58432   1.18314   0.68893   0.14055  -0.41888  -0.94538  -1.39754  -1.73981  -1.94529  -1.99780  -1.89323  -1.63980  -1.25743  -0.77618  -0.23391   0.32675   0.86173   1.32894   1.69166   1.92137   0.00000     ... ... ..... ....... ..TT..... ........... ......TT.....
E4g      2.00000   1.86093   1.46306   0.86173   0.14055  -0.60017  -1.25743  -1.73981  -1.98025  -1.94529  -1.63980  -1.10626  -0.41888   0.32675   1.02695   1.58432   1.92137   1.99121   1.78414   1.32894   0.68893  -0.04689  -0.77618  -1.39754  -1.82454  -1.99780  -1.89323  -1.52537  -0.94538  -0.23391   0.51009   1.18314   1.69166   1.96493   0.00000   2.00000   1.96493   1.69166   1.18314   0.51009  -0.23391  -0.94538  -1.52537  -1.89323  -1.99780  -1.82454  -1.39754  -0.77618  -0.04689   0.68893   1.32894   1.78414   1.99121   1.92137   1.58432   1.02695   0.32675  -0.41888  -1.10626  -1.63980  -1.94529  -1.98025  -1.73981  -1.25743  -0.60017   0.14055   0.86173   1.46306   1.86093   0.00000     ... ... ..... ....... TT....... ........... ....TT.......
E5g      2.00000   1.78414   1.18314   0.32675  -0.60017  -1.39754  -1.89323  -1.98025  -1.63980  -0.94538  -0.04689   0.86173   1.58432   1.96493   1.92137   1.46306   0.68893  -0.23391  -1.10626  -1.73981  -1.99780  -1.82454  -1.25743  -0.41888   0.51009   1.32894   1.86093   1.99121   1.69166   1.02695   0.14055  -0.77618  -1.52537  -1.94529   0.00000   2.00000  -1.94529  -1.52537  -0.77618   0.14055   1.02695   1.69166   1.99121   1.86093   1.32894   0.51009  -0.41888  -1.25743  -1.82454  -1.99780  -1.73981  -1.10626  -0.23391   0.68893   1.46306   1.92137   1.96493   1.58432   0.86173  -0.04689  -0.94538  -1.63980  -1.98025  -1.89323  -1.39754  -0.60017   0.32675   1.18314   1.78414   0.00000     ... ... ..... ....... ......... ........... ..TT.........
E6g      2.00000   1.69166   0.86173  -0.23391  -1.25743  -1.89323  -1.94529  -1.39754  -0.41888   0.68893   1.58432   1.99121   1.78414   1.02695  -0.04689  -1.10626  -1.82454  -1.98025  -1.52537  -0.60017   0.51009   1.46306   1.96493   1.86093   1.18314   0.14055  -0.94538  -1.73981  -1.99780  -1.63980  -0.77618   0.32675   1.32894   1.92137   0.00000   2.00000   1.92137   1.32894   0.32675  -0.77618  -1.63980  -1.99780  -1.73981  -0.94538   0.14055   1.18314   1.86093   1.96493   1.46306   0.51009  -0.60017  -1.52537  -1.98025  -1.82454  -1.10626  -0.04689   1.02695   1.78414   1.99121   1.58432   0.68893  -0.41888  -1.39754  -1.94529  -1.89323  -1.25743  -0.23391   0.86173   1.69166   0.00000     ... ... ..... ....... ......... ........... TT...........
E7g      2.00000   1.58432   0.51009  -0.77618  -1.73981  -1.98025  -1.39754  -0.23391   1.02695   1.86093   1.92137   1.18314  -0.04689  -1.25743  -1.94529  -1.82454  -0.94538   0.32675   1.46306   1.99121   1.69166   0.68893  -0.60017  -1.63980  -1.99780  -1.52537  -0.41888   0.86173   1.78414   1.96493   1.32894   0.14055  -1.10626  -1.89323   0.00000   2.00000  -1.89323  -1.10626   0.14055   1.32894   1.96493   1.78414   0.86173  -0.41888  -1.52537  -1.99780  -1.63980  -0.60017   0.68893   1.69166   1.99121   1.46306   0.32675  -0.94538  -1.82454  -1.94529  -1.25743  -0.04689   1.18314   1.92137   1.86093   1.02695  -0.23391  -1.39754  -1.98025  -1.73981  -0.77618   0.51009   1.58432   0.00000     ... ... ..... ....... ......... ........... .............
E8g      2.00000   1.46306   0.14055  -1.25743  -1.98025  -1.63980  -0.41888   1.02695   1.92137   1.78414   0.68893  -0.77618  -1.82454  -1.89323  -0.94538   0.51009   1.69166   1.96493   1.18314  -0.23391  -1.52537  -1.99780  -1.39754  -0.04689   1.32894   1.99121   1.58432   0.32675  -1.10626  -1.94529  -1.73981  -0.60017   0.86173   1.86093   0.00000   2.00000   1.86093   0.86173  -0.60017  -1.73981  -1.94529  -1.10626   0.32675   1.58432   1.99121   1.32894  -0.04689  -1.39754  -1.99780  -1.52537  -0.23391   1.18314   1.96493   1.69166   0.51009  -0.94538  -1.89323  -1.82454  -0.77618   0.68893   1.78414   1.92137   1.02695  -0.41888  -1.63980  -1.98025  -1.25743   0.14055   1.46306   0.00000     ... ... ..... ....... ......... ........... .............
E9g      2.00000   1.32894  -0.23391  -1.63980  -1.94529  -0.94538   0.68893   1.86093   1.78414   0.51009  -1.10626  -1.98025  -1.52537  -0.04689   1.46306   1.99121   1.18314  -0.41888  -1.73981  -1.89323  -0.77618   0.86173   1.92137   1.69166   0.32675  -1.25743  -1.99780  -1.39754   0.14055   1.58432   1.96493   1.02695  -0.60017  -1.82454   0.00000   2.00000  -1.82454  -0.60017   1.02695   1.96493   1.58432   0.14055  -1.39754  -1.99780  -1.25743   0.32675   1.69166   1.92137   0.86173  -0.77618  -1.89323  -1.73981  -0.41888   1.18314   1.99121   1.46306  -0.04689  -1.52537  -1.98025  -1.10626   0.51009   1.78414   1.86093   0.68893  -0.94538  -1.94529  -1.63980  -0.23391   1.32894   0.00000     ... ... ..... ....... ......... ........... .............
E10g     2.00000   1.18314  -0.60017  -1.89323  -1.63980  -0.04689   1.58432   1.92137   0.68893  -1.10626  -1.99780  -1.25743   0.51009   1.86093   1.69166   0.14055  -1.52537  -1.94529  -0.77618   1.02695   1.99121   1.32894  -0.41888  -1.82454  -1.73981  -0.23391   1.46306   1.96493   0.86173  -0.94538  -1.98025  -1.39754   0.32675   1.78414   0.00000   2.00000   1.78414   0.32675  -1.39754  -1.98025  -0.94538   0.86173   1.96493   1.46306  -0.23391  -1.73981  -1.82454  -0.41888   1.32894   1.99121   1.02695  -0.77618  -1.94529  -1.52537   0.14055   1.69166   1.86093   0.51009  -1.25743  -1.99780  -1.10626   0.68893   1.92137   1.58432  -0.04689  -1.63980  -1.89323  -0.60017   1.18314   0.00000     ... ... ..... ....... ......... ........... .............
E11g     2.00000   1.02695  -0.94538  -1.99780  -1.10626   0.86173   1.99121   1.18314  -0.77618  -1.98025  -1.25743   0.68893   1.96493   1.32894  -0.60017  -1.94529  -1.39754   0.51009   1.92137   1.46306  -0.41888  -1.89323  -1.52537   0.32675   1.86093   1.58432  -0.23391  -1.82454  -1.63980   0.14055   1.78414   1.69166  -0.04689  -1.73981   0.00000   2.00000  -1.73981  -0.04689   1.69166   1.78414   0.14055  -1.63980  -1.82454  -0.23391   1.58432   1.86093   0.32675  -1.52537  -1.89323  -0.41888   1.46306   1.92137   0.51009  -1.39754  -1.94529  -0.60017   1.32894   1.96493   0.68893  -1.25743  -1.98025  -0.77618   1.18314   1.99121   0.86173  -1.10626  -1.99780  -0.94538   1.02695   0.00000     ... ... ..... ....... ......... ........... .............
E12g     2.00000   0.86173  -1.25743  -1.94529  -0.41888   1.58432   1.78414  -0.04689  -1.82454  -1.52537   0.51009   1.96493   1.18314  -0.94538  -1.99780  -0.77618   1.32894   1.92137   0.32675  -1.63980  -1.73981   0.14055   1.86093   1.46306  -0.60017  -1.98025  -1.10626   1.02695   1.99121   0.68893  -1.39754  -1.89323  -0.23391   1.69166   0.00000   2.00000   1.69166  -0.23391  -1.89323  -1.39754   0.68893   1.99121   1.02695  -1.10626  -1.98025  -0.60017   1.46306   1.86093   0.14055  -1.73981  -1.63980   0.32675   1.92137   1.32894  -0.77618  -1.99780  -0.94538   1.18314   1.96493   0.51009  -1.52537  -1.82454  -0.04689   1.78414   1.58432  -0.41888  -1.94529  -1.25743   0.86173   0.00000     ... ... ..... ....... ......... ........... .............
E13g     2.00000   0.68893  -1.52537  -1.73981   0.32675   1.96493   1.02695  -1.25743  -1.89323  -0.04689   1.86093   1.32894  -0.94538  -1.98025  -0.41888   1.69166   1.58432  -0.60017  -1.99780  -0.77618   1.46306   1.78414  -0.23391  -1.94529  -1.10626   1.18314   1.92137   0.14055  -1.82454  -1.39754   0.86173   1.99121   0.51009  -1.63980   0.00000   2.00000  -1.63980   0.51009   1.99121   0.86173  -1.39754  -1.82454   0.14055   1.92137   1.18314  -1.10626  -1.94529  -0.23391   1.78414   1.46306  -0.77618  -1.99780  -0.60017   1.58432   1.69166  -0.41888  -1.98025  -0.94538   1.32894   1.86093  -0.04689  -1.89323  -1.25743   1.02695   1.96493   0.32675  -1.73981  -1.52537   0.68893   0.00000     ... ... ..... ....... ......... ........... .............
E14g     2.00000   0.51009  -1.73981  -1.39754   1.02695   1.92137  -0.04689  -1.94529  -0.94538   1.46306   1.69166  -0.60017  -1.99780  -0.41888   1.78414   1.32894  -1.10626  -1.89323   0.14055   1.96493   0.86173  -1.52537  -1.63980   0.68893   1.99121   0.32675  -1.82454  -1.25743   1.18314   1.86093  -0.23391  -1.98025  -0.77618   1.58432   0.00000   2.00000   1.58432  -0.77618  -1.98025  -0.23391   1.86093   1.18314  -1.25743  -1.82454   0.32675   1.99121   0.68893  -1.63980  -1.52537   0.86173   1.96493   0.14055  -1.89323  -1.10626   1.32894   1.78414  -0.41888  -1.99780  -0.60017   1.69166   1.46306  -0.94538  -1.94529  -0.04689   1.92137   1.02695  -1.39754  -1.73981   0.51009   0.00000     ... ... ..... ....... ......... ........... .............
E15g     2.00000   0.32675  -1.89323  -0.94538   1.58432   1.46306  -1.10626  -1.82454   0.51009   1.99121   0.14055  -1.94529  -0.77618   1.69166   1.32894  -1.25743  -1.73981   0.68893   1.96493  -0.04689  -1.98025  -0.60017   1.78414   1.18314  -1.39754  -1.63980   0.86173   1.92137  -0.23391  -1.99780  -0.41888   1.86093   1.02695  -1.52537   0.00000   2.00000  -1.52537   1.02695   1.86093  -0.41888  -1.99780  -0.23391   1.92137   0.86173  -1.63980  -1.39754   1.18314   1.78414  -0.60017  -1.98025  -0.04689   1.96493   0.68893  -1.73981  -1.25743   1.32894   1.69166  -0.77618  -1.94529   0.14055   1.99121   0.51009  -1.82454  -1.10626   1.46306   1.58432  -0.94538  -1.89323   0.32675   0.00000     ... ... ..... ....... ......... ........... .............
E16g     2.00000   0.14055  -1.98025  -0.41888   1.92137   0.68893  -1.82454  -0.94538   1.69166   1.18314  -1.52537  -1.39754   1.32894   1.58432  -1.10626  -1.73981   0.86173   1.86093  -0.60017  -1.94529   0.32675   1.99121  -0.04689  -1.99780  -0.23391   1.96493   0.51009  -1.89323  -0.77618   1.78414   1.02695  -1.63980  -1.25743   1.46306   0.00000   2.00000   1.46306  -1.25743  -1.63980   1.02695   1.78414  -0.77618  -1.89323   0.51009   1.96493  -0.23391  -1.99780  -0.04689   1.99121   0.32675  -1.94529  -0.60017   1.86093   0.86173  -1.73981  -1.10626   1.58432   1.32894  -1.39754  -1.52537   1.18314   1.69166  -0.94538  -1.82454   0.68893   1.92137  -0.41888  -1.98025   0.14055   0.00000     ... ... ..... ....... ......... ........... .............
E17g     2.00000  -0.04689  -1.99780   0.14055   1.99121  -0.23391  -1.98025   0.32675   1.96493  -0.41888  -1.94529   0.51009   1.92137  -0.60017  -1.89323   0.68893   1.86093  -0.77618  -1.82454   0.86173   1.78414  -0.94538  -1.73981   1.02695   1.69166  -1.10626  -1.63980   1.18314   1.58432  -1.25743  -1.52537   1.32894   1.46306  -1.39754   0.00000   2.00000  -1.39754   1.46306   1.32894  -1.52537  -1.25743   1.58432   1.18314  -1.63980  -1.10626   1.69166   1.02695  -1.73981  -0.94538   1.78414   0.86173  -1.82454  -0.77618   1.86093   0.68893  -1.89323  -0.60017   1.92137   0.51009  -1.94529  -0.41888   1.96493   0.32675  -1.98025  -0.23391   1.99121   0.14055  -1.99780  -0.04689   0.00000     ... ... ..... ....... ......... ........... .............
E18g     2.00000  -0.23391  -1.94529   0.68893   1.78414  -1.10626  -1.52537   1.46306   1.18314  -1.73981  -0.77618   1.92137   0.32675  -1.99780   0.14055   1.96493  -0.60017  -1.82454   1.02695   1.58432  -1.39754  -1.25743   1.69166   0.86173  -1.89323  -0.41888   1.99121  -0.04689  -1.98025   0.51009   1.86093  -0.94538  -1.63980   1.32894   0.00000   2.00000   1.32894  -1.63980  -0.94538   1.86093   0.51009  -1.98025  -0.04689   1.99121  -0.41888  -1.89323   0.86173   1.69166  -1.25743  -1.39754   1.58432   1.02695  -1.82454  -0.60017   1.96493   0.14055  -1.99780   0.32675   1.92137  -0.77618  -1.73981   1.18314   1.46306  -1.52537  -1.10626   1.78414   0.68893  -1.94529  -0.23391   0.00000     ... ... ..... ....... ......... ........... .............
E19g     2.00000  -0.41888  -1.82454   1.18314   1.32894  -1.73981  -0.60017   1.99121  -0.23391  -1.89323   1.02695   1.46306  -1.63980  -0.77618   1.96493  -0.04689  -1.94529   0.86173   1.58432  -1.52537  -0.94538   1.92137   0.14055  -1.98025   0.68893   1.69166  -1.39754  -1.10626   1.86093   0.32675  -1.99780   0.51009   1.78414  -1.25743   0.00000   2.00000  -1.25743   1.78414   0.51009  -1.99780   0.32675   1.86093  -1.10626  -1.39754   1.69166   0.68893  -1.98025   0.14055   1.92137  -0.94538  -1.52537   1.58432   0.86173  -1.94529  -0.04689   1.96493  -0.77618  -1.63980   1.46306   1.02695  -1.89323  -0.23391   1.99121  -0.60017  -1.73981   1.32894   1.18314  -1.82454  -0.41888   0.00000     ... ... ..... ....... ......... ........... .............
E20g     2.00000  -0.60017  -1.63980   1.58432   0.68893  -1.99780   0.51009   1.69166  -1.52537  -0.77618   1.99121  -0.41888  -1.73981   1.46306   0.86173  -1.98025   0.32675   1.78414  -1.39754  -0.94538   1.96493  -0.23391  -1.82454   1.32894   1.02695  -1.94529   0.14055   1.86093  -1.25743  -1.10626   1.92137  -0.04689  -1.89323   1.18314   0.00000   2.00000   1.18314  -1.89323  -0.04689   1.92137  -1.10626  -1.25743   1.86093   0.14055  -1.94529   1.02695   1.32894  -1.82454  -0.23391   1.96493  -0.94538  -1.39754   1.78414   0.32675  -1.98025   0.86173   1.46306  -1.73981  -0.41888   1.99121  -0.77618  -1.52537   1.69166   0.51009  -1.99780   0.68893   1.58432  -1.63980  -0.60017   0.00000     ... ... ..... ....... ......... ........... .............
E21g     2.00000  -0.77618  -1.39754   1.86093  -0.04689  -1.82454   1.46306   0.68893  -1.99780   0.86173   1.32894  -1.89323   0.14055   1.78414  -1.52537  -0.60017   1.99121  -0.94538  -1.25743   1.92137  -0.23391  -1.73981   1.58432   0.51009  -1.98025   1.02695   1.18314  -1.94529   0.32675   1.69166  -1.63980  -0.41888   1.96493  -1.10626   0.00000   2.00000  -1.10626   1.96493  -0.41888  -1.63980   1.69166   0.32675  -1.94529   1.18314   1.02695  -1.98025   0.51009   1.58432  -1.73981  -0.23391   1.92137  -1.25743  -0.94538   1.99121  -0.60017  -1.52537   1.78414   0.14055  -1.89323   1.32894   0.86173  -1.99780   0.68893   1.46306  -1.82454  -0.04689   1.86093  -1.39754  -0.77618   0.00000     ... ... ..... ....... ......... ........... .............
E22g     2.00000  -0.94538  -1.10626   1.99121  -0.77618  -1.25743   1.96493  -0.60017  -1.39754   1.92137  -0.41888  -1.52537   1.86093  -0.23391  -1.63980   1.78414  -0.04689  -1.73981   1.69166   0.14055  -1.82454   1.58432   0.32675  -1.89323   1.46306   0.51009  -1.94529   1.32894   0.68893  -1.98025   1.18314   0.86173  -1.99780   1.02695   0.00000   2.00000   1.02695  -1.99780   0.86173   1.18314  -1.98025   0.68893   1.32894  -1.94529   0.51009   1.46306  -1.89323   0.32675   1.58432  -1.82454   0.14055   1.69166  -1.73981  -0.04689   1.78414  -1.63980  -0.23391   1.86093  -1.52537  -0.41888   1.92137  -1.39754  -0.60017   1.96493  -1.25743  -0.77618   1.99121  -1.10626  -0.94538   0.00000     ... ... ..... ....... ......... ........... .............
E23g     2.00000  -1.10626  -0.77618   1.96493  -1.39754  -0.41888   1.86093  -1.63980  -0.04689   1.69166  -1.82454   0.32675   1.46306  -1.94529   0.68893   1.18314  -1.99780   1.02695   0.86173  -1.98025   1.32894   0.51009  -1.89323   1.58432   0.14055  -1.73981   1.78414  -0.23391  -1.52537   1.92137  -0.60017  -1.25743   1.99121  -0.94538   0.00000   2.00000  -0.94538   1.99121  -1.25743  -0.60017   1.92137  -1.52537  -0.23391   1.78414  -1.73981   0.14055   1.58432  -1.89323   0.51009   1.32894  -1.98025   0.86173   1.02695  -1.99780   1.18314   0.68893  -1.94529   1.46306   0.32675  -1.82454   1.69166  -0.04689  -1.63980   1.86093  -0.41888  -1.39754   1.96493  -0.77618  -1.10626   0.00000     ... ... ..... ....... ......... ........... .............
E24g     2.00000  -1.25743  -0.41888   1.78414  -1.82454   0.51009   1.18314  -1.99780   1.32894   0.32675  -1.73981   1.86093  -0.60017  -1.10626   1.99121  -1.39754  -0.23391   1.69166  -1.89323   0.68893   1.02695  -1.98025   1.46306   0.14055  -1.63980   1.92137  -0.77618  -0.94538   1.96493  -1.52537  -0.04689   1.58432  -1.94529   0.86173   0.00000   2.00000   0.86173  -1.94529   1.58432  -0.04689  -1.52537   1.96493  -0.94538  -0.77618   1.92137  -1.63980   0.14055   1.46306  -1.98025   1.02695   0.68893  -1.89323   1.69166  -0.23391  -1.39754   1.99121  -1.10626  -0.60017   1.86093  -1.73981   0.32675   1.32894  -1.99780   1.18314   0.51009  -1.82454   1.78414  -0.41888  -1.25743   0.00000     ... ... ..... ....... ......... ........... .............
E25g     2.00000  -1.39754  -0.04689   1.46306  -1.99780   1.32894   0.14055  -1.52537   1.99121  -1.25743  -0.23391   1.58432  -1.98025   1.18314   0.32675  -1.63980   1.96493  -1.10626  -0.41888   1.69166  -1.94529   1.02695   0.51009  -1.73981   1.92137  -0.94538  -0.60017   1.78414  -1.89323   0.86173   0.68893  -1.82454   1.86093  -0.77618   0.00000   2.00000  -0.77618   1.86093  -1.82454   0.68893   0.86173  -1.89323   1.78414  -0.60017  -0.94538   1.92137  -1.73981   0.51009   1.02695  -1.94529   1.69166  -0.41888  -1.10626   1.96493  -1.63980   0.32675   1.18314  -1.98025   1.58432  -0.23391  -1.25743   1.99121  -1.52537   0.14055   1.32894  -1.99780   1.46306  -0.04689  -1.39754   0.00000     ... ... ..... ....... ......... ........... .............
E26g     2.00000  -1.52537   0.32675   1.02695  -1.89323   1.86093  -0.94538  -0.41888   1.58432  -1.99780   1.46306  -0.23391  -1.10626   1.92137  -1.82454   0.86173   0.51009  -1.63980   1.99121  -1.39754   0.14055   1.18314  -1.94529   1.78414  -0.77618  -0.60017   1.69166  -1.98025   1.32894  -0.04689  -1.25743   1.96493  -1.73981   0.68893   0.00000   2.00000   0.68893  -1.73981   1.96493  -1.25743  -0.04689   1.32894  -1.98025   1.69166  -0.60017  -0.77618   1.78414  -1.94529   1.18314   0.14055  -1.39754   1.99121  -1.63980   0.51009   0.86173  -1.82454   1.92137  -1.10626  -0.23391   1.46306  -1.99780   1.58432  -0.41888  -0.94538   1.86093  -1.89323   1.02695   0.32675  -1.52537   0.00000     ... ... ..... ....... ......... ........... .............
E27g     2.00000  -1.63980   0.68893   0.51009  -1.52537   1.99121  -1.73981   0.86173   0.32675  -1.39754   1.96493  -1.82454   1.02695   0.14055  -1.25743   1.92137  -1.89323   1.18314  -0.04689  -1.10626   1.86093  -1.94529   1.32894  -0.23391  -0.94538   1.78414  -1.98025   1.46306  -0.41888  -0.77618   1.69166  -1.99780   1.58432  -0.60017   0.00000   2.00000  -0.60017   1.58432  -1.99780   1.69166  -0.77618  -0.41888   1.46306  -1.98025   1.78414  -0.94538  -0.23391   1.32894  -1.94529   1.86093  -1.10626  -0.04689   1.18314  -1.89323   1.92137  -1.25743   0.14055   1.02695  -1.82454   1.96493  -1.39754   0.32675   0.86173  -1.73981   1.99121  -1.52537   0.51009   0.68893  -1.63980   0.00000     ... ... ..... ....... ......... ........... .............
E28g     2.00000  -1.73981   1.02695  -0.04689  -0.94538   1.69166  -1.99780   1.78414  -1.10626   0.14055   0.86173  -1.63980   1.99121  -1.82454   1.18314  -0.23391  -0.77618   1.58432  -1.98025   1.86093  -1.25743   0.32675   0.68893  -1.52537   1.96493  -1.89323   1.32894  -0.41888  -0.60017   1.46306  -1.94529   1.92137  -1.39754   0.51009   0.00000   2.00000   0.51009  -1.39754   1.92137  -1.94529   1.46306  -0.60017  -0.41888   1.32894  -1.89323   1.96493  -1.52537   0.68893   0.32675  -1.25743   1.86093  -1.98025   1.58432  -0.77618  -0.23391   1.18314  -1.82454   1.99121  -1.63980   0.86173   0.14055  -1.10626   1.78414  -1.99780   1.69166  -0.94538  -0.04689   1.02695  -1.73981   0.00000     ... ... ..... ....... ......... ........... .............
E29g     2.00000  -1.82454   1.32894  -0.60017  -0.23391   1.02695  -1.63980   1.96493  -1.94529   1.58432  -0.94538   0.14055   0.68893  -1.39754   1.86093  -1.99780   1.78414  -1.25743   0.51009   0.32675  -1.10626   1.69166  -1.98025   1.92137  -1.52537   0.86173  -0.04689  -0.77618   1.46306  -1.89323   1.99121  -1.73981   1.18314  -0.41888   0.00000   2.00000  -0.41888   1.18314  -1.73981   1.99121  -1.89323   1.46306  -0.77618  -0.04689   0.86173  -1.52537   1.92137  -1.98025   1.69166  -1.10626   0.32675   0.51009  -1.25743   1.78414  -1.99780   1.86093  -1.39754   0.68893   0.14055  -0.94538   1.58432  -1.94529   1.96493  -1.63980   1.02695  -0.23391  -0.60017   1.32894  -1.82454   0.00000     ... ... ..... ....... ......... ........... .............
E30g     2.00000  -1.89323   1.58432  -1.10626   0.51009   0.14055  -0.77618   1.32894  -1.73981   1.96493  -1.98025   1.78414  -1.39754   0.86173  -0.23391  -0.41888   1.02695  -1.52537   1.86093  -1.99780   1.92137  -1.63980   1.18314  -0.60017  -0.04689   0.68893  -1.25743   1.69166  -1.94529   1.99121  -1.82454   1.46306  -0.94538   0.32675   0.00000   2.00000   0.32675  -0.94538   1.46306  -1.82454   1.99121  -1.94529   1.69166  -1.25743   0.68893  -0.04689  -0.60017   1.18314  -1.63980   1.92137  -1.99780   1.86093  -1.52537   1.02695  -0.41888  -0.23391   0.86173  -1.39754   1.78414  -1.98025   1.96493  -1.73981   1.32894  -0.77618   0.14055   0.51009  -1.10626   1.58432  -1.89323   0.00000     ... ... ..... ....... ......... ........... .............
E31g     2.00000  -1.94529   1.78414  -1.52537   1.18314  -0.77618   0.32675   0.14055  -0.60017   1.02695  -1.39754   1.69166  -1.89323   1.99121  -1.98025   1.86093  -1.63980   1.32894  -0.94538   0.51009  -0.04689  -0.41888   0.86173  -1.25743   1.58432  -1.82454   1.96493  -1.99780   1.92137  -1.73981   1.46306  -1.10626   0.68893  -0.23391   0.00000   2.00000  -0.23391   0.68893  -1.10626   1.46306  -1.73981   1.92137  -1.99780   1.96493  -1.82454   1.58432  -1.25743   0.86173  -0.41888  -0.04689   0.51009  -0.94538   1.32894  -1.63980   1.86093  -1.98025   1.99121  -1.89323   1.69166  -1.39754   1.02695  -0.60017   0.14055   0.32675  -0.77618   1.18314  -1.52537   1.78414  -1.94529   0.00000     ... ... ..... ....... ......... ........... .............
E32g     2.00000  -1.98025   1.92137  -1.82454   1.69166  -1.52537   1.32894  -1.10626   0.86173  -0.60017   0.32675  -0.04689  -0.23391   0.51009  -0.77618   1.02695  -1.25743   1.46306  -1.63980   1.78414  -1.89323   1.96493  -1.99780   1.99121  -1.94529   1.86093  -1.73981   1.58432  -1.39754   1.18314  -0.94538   0.68893  -0.41888   0.14055   0.00000   2.00000   0.14055  -0.41888   0.68893  -0.94538   1.18314  -1.39754   1.58432  -1.73981   1.86093  -1.94529   1.99121  -1.99780   1.96493  -1.89323   1.78414  -1.63980   1.46306  -1.25743   1.02695  -0.77618   0.51009  -0.23391  -0.04689   0.32675  -0.60017   0.86173  -1.10626   1.32894  -1.52537   1.69166  -1.82454   1.92137  -1.98025   0.00000     ... ... ..... ....... ......... ........... .............
E33g     2.00000  -1.99780   1.99121  -1.98025   1.96493  -1.94529   1.92137  -1.89323   1.86093  -1.82454   1.78414  -1.73981   1.69166  -1.63980   1.58432  -1.52537   1.46306  -1.39754   1.32894  -1.25743   1.18314  -1.10626   1.02695  -0.94538   0.86173  -0.77618   0.68893  -0.60017   0.51009  -0.41888   0.32675  -0.23391   0.14055  -0.04689   0.00000   2.00000  -0.04689   0.14055  -0.23391   0.32675  -0.41888   0.51009  -0.60017   0.68893  -0.77618   0.86173  -0.94538   1.02695  -1.10626   1.18314  -1.25743   1.32894  -1.39754   1.46306  -1.52537   1.58432  -1.63980   1.69166  -1.73981   1.78414  -1.82454   1.86093  -1.89323   1.92137  -1.94529   1.96493  -1.98025   1.99121  -1.99780   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     ... ... ..... ....... ......... ........... .............
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     ... ..T ..... ......T ......... ..........T .............
E1u      2.00000   1.99121   1.96493   1.92137   1.86093   1.78414   1.69166   1.58432   1.46306   1.32894   1.18314   1.02695   0.86173   0.68893   0.51009   0.32675   0.14055  -0.04689  -0.23391  -0.41888  -0.60017  -0.77618  -0.94538  -1.10626  -1.25743  -1.39754  -1.52537  -1.63980  -1.73981  -1.82454  -1.89323  -1.94529  -1.98025  -1.99780   0.00000  -2.00000   1.99780   1.98025   1.94529   1.89323   1.82454   1.73981   1.63980   1.52537   1.39754   1.25743   1.10626   0.94538   0.77618   0.60017   0.41888   0.23391   0.04689  -0.14055  -0.32675  -0.51009  -0.68893  -0.86173  -1.02695  -1.18314  -1.32894  -1.46306  -1.58432  -1.69166  -1.78414  -1.86093  -1.92137  -1.96493  -1.99121   0.00000     ... TT. ..... ....TT. ......... ........TT. .............
E2u      2.00000   1.96493   1.86093   1.69166   1.46306   1.18314   0.86173   0.51009   0.14055  -0.23391  -0.60017  -0.94538  -1.25743  -1.52537  -1.73981  -1.89323  -1.98025  -1.99780  -1.94529  -1.82454  -1.63980  -1.39754  -1.10626  -0.77618  -0.41888  -0.04689   0.32675   0.68893   1.02695   1.32894   1.58432   1.78414   1.92137   1.99121   0.00000  -2.00000  -1.99121  -1.92137  -1.78414  -1.58432  -1.32894  -1.02695  -0.68893  -0.32675   0.04689   0.41888   0.77618   1.10626   1.39754   1.63980   1.82454   1.94529   1.99780   1.98025   1.89323   1.73981   1.52537   1.25743   0.94538   0.60017   0.23391  -0.14055  -0.51009  -0.86173  -1.18314  -1.46306  -1.69166  -1.86093  -1.96493   0.00000     ... ... ..... ..TT... ......... ......TT... .............
E3u      2.00000   1.92137   1.69166   1.32894   0.86173   0.32675  -0.23391  -0.77618  -1.25743  -1.63980  -1.89323  -1.99780  -1.94529  -1.73981  -1.39754  -0.94538  -0.41888   0.14055   0.68893   1.18314   1.58432   1.86093   1.99121   1.96493   1.78414   1.46306   1.02695   0.51009  -0.04689  -0.60017  -1.10626  -1.52537  -1.82454  -1.98025   0.00000  -2.00000   1.98025   1.82454   1.52537   1.10626   0.60017   0.04689  -0.51009  -1.02695  -1.46306  -1.78414  -1.96493  -1.99121  -1.86093  -1.58432  -1.18314  -0.68893  -0.14055   0.41888   0.94538   1.39754   1.73981   1.94529   1.99780   1.89323   1.63980   1.25743   0.77618   0.23391  -0.32675  -0.86173  -1.32894  -1.69166  -1.92137   0.00000     ... ... ..... TT..... ......... ....TT..... .............
E4u      2.00000   1.86093   1.46306   0.86173   0.14055  -0.60017  -1.25743  -1.73981  -1.98025  -1.94529  -1.63980  -1.10626  -0.41888   0.32675   1.02695   1.58432   1.92137   1.99121   1.78414   1.32894   0.68893  -0.04689  -0.77618  -1.39754  -1.82454  -1.99780  -1.89323  -1.52537  -0.94538  -0.23391   0.51009   1.18314   1.69166   1.96493   0.00000  -2.00000  -1.96493  -1.69166  -1.18314  -0.51009   0.23391   0.94538   1.52537   1.89323   1.99780   1.82454   1.39754   0.77618   0.04689  -0.68893  -1.32894  -1.78414  -1.99121  -1.92137  -1.58432  -1.02695  -0.32675   0.41888   1.10626   1.63980   1.94529   1.98025   1.73981   1.25743   0.60017  -0.14055  -0.86173  -1.46306  -1.86093   0.00000     ... ... ..... ....... ......... ..TT....... .............
E5u      2.00000   1.78414   1.18314   0.32675  -0.60017  -1.39754  -1.89323  -1.98025  -1.63980  -0.94538  -0.04689   0.86173   1.58432   1.96493   1.92137   1.46306   0.68893  -0.23391  -1.10626  -1.73981  -1.99780  -1.82454  -1.25743  -0.41888   0.51009   1.32894   1.86093   1.99121   1.69166   1.02695   0.14055  -0.77618  -1.52537  -1.94529   0.00000  -2.00000   1.94529   1.52537   0.77618  -0.14055  -1.02695  -1.69166  -1.99121  -1.86093  -1.32894  -0.51009   0.41888   1.25743   1.82454   1.99780   1.73981   1.10626   0.23391  -0.68893  -1.46306  -1.92137  -1.96493  -1.58432  -0.86173   0.04689   0.94538   1.63980   1.98025   1.89323   1.39754   0.60017  -0.32675  -1.18314  -1.78414   0.00000     ... ... ..... ....... ......... TT......... .............
E6u      2.00000   1.69166   0.86173  -0.23391  -1.25743  -1.89323  -1.94529  -1.39754  -0.41888   0.68893   1.58432   1.99121   1.78414   1.02695  -0.04689  -1.10626  -1.82454  -1.98025  -1.52537  -0.60017   0.51009   1.46306   1.96493   1.86093   1.18314   0.14055  -0.94538  -1.73981  -1.99780  -1.63980  -0.77618   0.32675   1.32894   1.92137   0.00000  -2.00000  -1.92137  -1.32894  -0.32675   0.77618   1.63980   1.99780   1.73981   0.94538  -0.14055  -1.18314  -1.86093  -1.96493  -1.46306  -0.51009   0.60017   1.52537   1.98025   1.82454   1.10626   0.04689  -1.02695  -1.78414  -1.99121  -1.58432  -0.68893   0.41888   1.39754   1.94529   1.89323   1.25743   0.23391  -0.86173  -1.69166   0.00000     ... ... ..... ....... ......... ........... .............
E7u      2.00000   1.58432   0.51009  -0.77618  -1.73981  -1.98025  -1.39754  -0.23391   1.02695   1.86093   1.92137   1.18314  -0.04689  -1.25743  -1.94529  -1.82454  -0.94538   0.32675   1.46306   1.99121   1.69166   0.68893  -0.60017  -1.63980  -1.99780  -1.52537  -0.41888   0.86173   1.78414   1.96493   1.32894   0.14055  -1.10626  -1.89323   0.00000  -2.00000   1.89323   1.10626  -0.14055  -1.32894  -1.96493  -1.78414  -0.86173   0.41888   1.52537   1.99780   1.63980   0.60017  -0.68893  -1.69166  -1.99121  -1.46306  -0.32675   0.94538   1.82454   1.94529   1.25743   0.04689  -1.18314  -1.92137  -1.86093  -1.02695   0.23391   1.39754   1.98025   1.73981   0.77618  -0.51009  -1.58432   0.00000     ... ... ..... ....... ......... ........... .............
E8u      2.00000   1.46306   0.14055  -1.25743  -1.98025  -1.63980  -0.41888   1.02695   1.92137   1.78414   0.68893  -0.77618  -1.82454  -1.89323  -0.94538   0.51009   1.69166   1.96493   1.18314  -0.23391  -1.52537  -1.99780  -1.39754  -0.04689   1.32894   1.99121   1.58432   0.32675  -1.10626  -1.94529  -1.73981  -0.60017   0.86173   1.86093   0.00000  -2.00000  -1.86093  -0.86173   0.60017   1.73981   1.94529   1.10626  -0.32675  -1.58432  -1.99121  -1.32894   0.04689   1.39754   1.99780   1.52537   0.23391  -1.18314  -1.96493  -1.69166  -0.51009   0.94538   1.89323   1.82454   0.77618  -0.68893  -1.78414  -1.92137  -1.02695   0.41888   1.63980   1.98025   1.25743  -0.14055  -1.46306   0.00000     ... ... ..... ....... ......... ........... .............
E9u      2.00000   1.32894  -0.23391  -1.63980  -1.94529  -0.94538   0.68893   1.86093   1.78414   0.51009  -1.10626  -1.98025  -1.52537  -0.04689   1.46306   1.99121   1.18314  -0.41888  -1.73981  -1.89323  -0.77618   0.86173   1.92137   1.69166   0.32675  -1.25743  -1.99780  -1.39754   0.14055   1.58432   1.96493   1.02695  -0.60017  -1.82454   0.00000  -2.00000   1.82454   0.60017  -1.02695  -1.96493  -1.58432  -0.14055   1.39754   1.99780   1.25743  -0.32675  -1.69166  -1.92137  -0.86173   0.77618   1.89323   1.73981   0.41888  -1.18314  -1.99121  -1.46306   0.04689   1.52537   1.98025   1.10626  -0.51009  -1.78414  -1.86093  -0.68893   0.94538   1.94529   1.63980   0.23391  -1.32894   0.00000     ... ... ..... ....... ......... ........... .............
E10u     2.00000   1.18314  -0.60017  -1.89323  -1.63980  -0.04689   1.58432   1.92137   0.68893  -1.10626  -1.99780  -1.25743   0.51009   1.86093   1.69166   0.14055  -1.52537  -1.94529  -0.77618   1.02695   1.99121   1.32894  -0.41888  -1.82454  -1.73981  -0.23391   1.46306   1.96493   0.86173  -0.94538  -1.98025  -1.39754   0.32675   1.78414   0.00000  -2.00000  -1.78414  -0.32675   1.39754   1.98025   0.94538  -0.86173  -1.96493  -1.46306   0.23391   1.73981   1.82454   0.41888  -1.32894  -1.99121  -1.02695   0.77618   1.94529   1.52537  -0.14055  -1.69166  -1.86093  -0.51009   1.25743   1.99780   1.10626  -0.68893  -1.92137  -1.58432   0.04689   1.63980   1.89323   0.60017  -1.18314   0.00000     ... ... ..... ....... ......... ........... .............
E11u     2.00000   1.02695  -0.94538  -1.99780  -1.10626   0.86173   1.99121   1.18314  -0.77618  -1.98025  -1.25743   0.68893   1.96493   1.32894  -0.60017  -1.94529  -1.39754   0.51009   1.92137   1.46306  -0.41888  -1.89323  -1.52537   0.32675   1.86093   1.58432  -0.23391  -1.82454  -1.63980   0.14055   1.78414   1.69166  -0.04689  -1.73981   0.00000  -2.00000   1.73981   0.04689  -1.69166  -1.78414  -0.14055   1.63980   1.82454   0.23391  -1.58432  -1.86093  -0.32675   1.52537   1.89323   0.41888  -1.46306  -1.92137  -0.51009   1.39754   1.94529   0.60017  -1.32894  -1.96493  -0.68893   1.25743   1.98025   0.77618  -1.18314  -1.99121  -0.86173   1.10626   1.99780   0.94538  -1.02695   0.00000     ... ... ..... ....... ......... ........... .............
E12u     2.00000   0.86173  -1.25743  -1.94529  -0.41888   1.58432   1.78414  -0.04689  -1.82454  -1.52537   0.51009   1.96493   1.18314  -0.94538  -1.99780  -0.77618   1.32894   1.92137   0.32675  -1.63980  -1.73981   0.14055   1.86093   1.46306  -0.60017  -1.98025  -1.10626   1.02695   1.99121   0.68893  -1.39754  -1.89323  -0.23391   1.69166   0.00000  -2.00000  -1.69166   0.23391   1.89323   1.39754  -0.68893  -1.99121  -1.02695   1.10626   1.98025   0.60017  -1.46306  -1.86093  -0.14055   1.73981   1.63980  -0.32675  -1.92137  -1.32894   0.77618   1.99780   0.94538  -1.18314  -1.96493  -0.51009   1.52537   1.82454   0.04689  -1.78414  -1.58432   0.41888   1.94529   1.25743  -0.86173   0.00000     ... ... ..... ....... ......... ........... .............
E13u     2.00000   0.68893  -1.52537  -1.73981   0.32675   1.96493   1.02695  -1.25743  -1.89323  -0.04689   1.86093   1.32894  -0.94538  -1.98025  -0.41888   1.69166   1.58432  -0.60017  -1.99780  -0.77618   1.46306   1.78414  -0.23391  -1.94529  -1.10626   1.18314   1.92137   0.14055  -1.82454  -1.39754   0.86173   1.99121   0.51009  -1.63980   0.00000  -2.00000   1.63980  -0.51009  -1.99121  -0.86173   1.39754   1.82454  -0.14055  -1.92137  -1.18314   1.10626   1.94529   0.23391  -1.78414  -1.46306   0.77618   1.99780   0.60017  -1.58432  -1.69166   0.41888   1.98025   0.94538  -1.32894  -1.86093   0.04689   1.89323   1.25743  -1.02695  -1.96493  -0.32675   1.73981   1.52537  -0.68893   0.00000     ... ... ..... ....... ......... ........... .............
E14u     2.00000   0.51009  -1.73981  -1.39754   1.02695   1.92137  -0.04689  -1.94529  -0.94538   1.46306   1.69166  -0.60017  -1.99780  -0.41888   1.78414   1.32894  -1.10626  -1.89323   0.14055   1.96493   0.86173  -1.52537  -1.63980   0.68893   1.99121   0.32675  -1.82454  -1.25743   1.18314   1.86093  -0.23391  -1.98025  -0.77618   1.58432   0.00000  -2.00000  -1.58432   0.77618   1.98025   0.23391  -1.86093  -1.18314   1.25743   1.82454  -0.32675  -1.99121  -0.68893   1.63980   1.52537  -0.86173  -1.96493  -0.14055   1.89323   1.10626  -1.32894  -1.78414   0.41888   1.99780   0.60017  -1.69166  -1.46306   0.94538   1.94529   0.04689  -1.92137  -1.02695   1.39754   1.73981  -0.51009   0.00000     ... ... ..... ....... ......... ........... .............
E15u     2.00000   0.32675  -1.89323  -0.94538   1.58432   1.46306  -1.10626  -1.82454   0.51009   1.99121   0.14055  -1.94529  -0.77618   1.69166   1.32894  -1.25743  -1.73981   0.68893   1.96493  -0.04689  -1.98025  -0.60017   1.78414   1.18314  -1.39754  -1.63980   0.86173   1.92137  -0.23391  -1.99780  -0.41888   1.86093   1.02695  -1.52537   0.00000  -2.00000   1.52537  -1.02695  -1.86093   0.41888   1.99780   0.23391  -1.92137  -0.86173   1.63980   1.39754  -1.18314  -1.78414   0.60017   1.98025   0.04689  -1.96493  -0.68893   1.73981   1.25743  -1.32894  -1.69166   0.77618   1.94529  -0.14055  -1.99121  -0.51009   1.82454   1.10626  -1.46306  -1.58432   0.94538   1.89323  -0.32675   0.00000     ... ... ..... ....... ......... ........... .............
E16u     2.00000   0.14055  -1.98025  -0.41888   1.92137   0.68893  -1.82454  -0.94538   1.69166   1.18314  -1.52537  -1.39754   1.32894   1.58432  -1.10626  -1.73981   0.86173   1.86093  -0.60017  -1.94529   0.32675   1.99121  -0.04689  -1.99780  -0.23391   1.96493   0.51009  -1.89323  -0.77618   1.78414   1.02695  -1.63980  -1.25743   1.46306   0.00000  -2.00000  -1.46306   1.25743   1.63980  -1.02695  -1.78414   0.77618   1.89323  -0.51009  -1.96493   0.23391   1.99780   0.04689  -1.99121  -0.32675   1.94529   0.60017  -1.86093  -0.86173   1.73981   1.10626  -1.58432  -1.32894   1.39754   1.52537  -1.18314  -1.69166   0.94538   1.82454  -0.68893  -1.92137   0.41888   1.98025  -0.14055   0.00000     ... ... ..... ....... ......... ........... .............
E17u     2.00000  -0.04689  -1.99780   0.14055   1.99121  -0.23391  -1.98025   0.32675   1.96493  -0.41888  -1.94529   0.51009   1.92137  -0.60017  -1.89323   0.68893   1.86093  -0.77618  -1.82454   0.86173   1.78414  -0.94538  -1.73981   1.02695   1.69166  -1.10626  -1.63980   1.18314   1.58432  -1.25743  -1.52537   1.32894   1.46306  -1.39754   0.00000  -2.00000   1.39754  -1.46306  -1.32894   1.52537   1.25743  -1.58432  -1.18314   1.63980   1.10626  -1.69166  -1.02695   1.73981   0.94538  -1.78414  -0.86173   1.82454   0.77618  -1.86093  -0.68893   1.89323   0.60017  -1.92137  -0.51009   1.94529   0.41888  -1.96493  -0.32675   1.98025   0.23391  -1.99121  -0.14055   1.99780   0.04689   0.00000     ... ... ..... ....... ......... ........... .............
E18u     2.00000  -0.23391  -1.94529   0.68893   1.78414  -1.10626  -1.52537   1.46306   1.18314  -1.73981  -0.77618   1.92137   0.32675  -1.99780   0.14055   1.96493  -0.60017  -1.82454   1.02695   1.58432  -1.39754  -1.25743   1.69166   0.86173  -1.89323  -0.41888   1.99121  -0.04689  -1.98025   0.51009   1.86093  -0.94538  -1.63980   1.32894   0.00000  -2.00000  -1.32894   1.63980   0.94538  -1.86093  -0.51009   1.98025   0.04689  -1.99121   0.41888   1.89323  -0.86173  -1.69166   1.25743   1.39754  -1.58432  -1.02695   1.82454   0.60017  -1.96493  -0.14055   1.99780  -0.32675  -1.92137   0.77618   1.73981  -1.18314  -1.46306   1.52537   1.10626  -1.78414  -0.68893   1.94529   0.23391   0.00000     ... ... ..... ....... ......... ........... .............
E19u     2.00000  -0.41888  -1.82454   1.18314   1.32894  -1.73981  -0.60017   1.99121  -0.23391  -1.89323   1.02695   1.46306  -1.63980  -0.77618   1.96493  -0.04689  -1.94529   0.86173   1.58432  -1.52537  -0.94538   1.92137   0.14055  -1.98025   0.68893   1.69166  -1.39754  -1.10626   1.86093   0.32675  -1.99780   0.51009   1.78414  -1.25743   0.00000  -2.00000   1.25743  -1.78414  -0.51009   1.99780  -0.32675  -1.86093   1.10626   1.39754  -1.69166  -0.68893   1.98025  -0.14055  -1.92137   0.94538   1.52537  -1.58432  -0.86173   1.94529   0.04689  -1.96493   0.77618   1.63980  -1.46306  -1.02695   1.89323   0.23391  -1.99121   0.60017   1.73981  -1.32894  -1.18314   1.82454   0.41888   0.00000     ... ... ..... ....... ......... ........... .............
E20u     2.00000  -0.60017  -1.63980   1.58432   0.68893  -1.99780   0.51009   1.69166  -1.52537  -0.77618   1.99121  -0.41888  -1.73981   1.46306   0.86173  -1.98025   0.32675   1.78414  -1.39754  -0.94538   1.96493  -0.23391  -1.82454   1.32894   1.02695  -1.94529   0.14055   1.86093  -1.25743  -1.10626   1.92137  -0.04689  -1.89323   1.18314   0.00000  -2.00000  -1.18314   1.89323   0.04689  -1.92137   1.10626   1.25743  -1.86093  -0.14055   1.94529  -1.02695  -1.32894   1.82454   0.23391  -1.96493   0.94538   1.39754  -1.78414  -0.32675   1.98025  -0.86173  -1.46306   1.73981   0.41888  -1.99121   0.77618   1.52537  -1.69166  -0.51009   1.99780  -0.68893  -1.58432   1.63980   0.60017   0.00000     ... ... ..... ....... ......... ........... .............
E21u     2.00000  -0.77618  -1.39754   1.86093  -0.04689  -1.82454   1.46306   0.68893  -1.99780   0.86173   1.32894  -1.89323   0.14055   1.78414  -1.52537  -0.60017   1.99121  -0.94538  -1.25743   1.92137  -0.23391  -1.73981   1.58432   0.51009  -1.98025   1.02695   1.18314  -1.94529   0.32675   1.69166  -1.63980  -0.41888   1.96493  -1.10626   0.00000  -2.00000   1.10626  -1.96493   0.41888   1.63980  -1.69166  -0.32675   1.94529  -1.18314  -1.02695   1.98025  -0.51009  -1.58432   1.73981   0.23391  -1.92137   1.25743   0.94538  -1.99121   0.60017   1.52537  -1.78414  -0.14055   1.89323  -1.32894  -0.86173   1.99780  -0.68893  -1.46306   1.82454   0.04689  -1.86093   1.39754   0.77618   0.00000     ... ... ..... ....... ......... ........... .............
E22u     2.00000  -0.94538  -1.10626   1.99121  -0.77618  -1.25743   1.96493  -0.60017  -1.39754   1.92137  -0.41888  -1.52537   1.86093  -0.23391  -1.63980   1.78414  -0.04689  -1.73981   1.69166   0.14055  -1.82454   1.58432   0.32675  -1.89323   1.46306   0.51009  -1.94529   1.32894   0.68893  -1.98025   1.18314   0.86173  -1.99780   1.02695   0.00000  -2.00000  -1.02695   1.99780  -0.86173  -1.18314   1.98025  -0.68893  -1.32894   1.94529  -0.51009  -1.46306   1.89323  -0.32675  -1.58432   1.82454  -0.14055  -1.69166   1.73981   0.04689  -1.78414   1.63980   0.23391  -1.86093   1.52537   0.41888  -1.92137   1.39754   0.60017  -1.96493   1.25743   0.77618  -1.99121   1.10626   0.94538   0.00000     ... ... ..... ....... ......... ........... .............
E23u     2.00000  -1.10626  -0.77618   1.96493  -1.39754  -0.41888   1.86093  -1.63980  -0.04689   1.69166  -1.82454   0.32675   1.46306  -1.94529   0.68893   1.18314  -1.99780   1.02695   0.86173  -1.98025   1.32894   0.51009  -1.89323   1.58432   0.14055  -1.73981   1.78414  -0.23391  -1.52537   1.92137  -0.60017  -1.25743   1.99121  -0.94538   0.00000  -2.00000   0.94538  -1.99121   1.25743   0.60017  -1.92137   1.52537   0.23391  -1.78414   1.73981  -0.14055  -1.58432   1.89323  -0.51009  -1.32894   1.98025  -0.86173  -1.02695   1.99780  -1.18314  -0.68893   1.94529  -1.46306  -0.32675   1.82454  -1.69166   0.04689   1.63980  -1.86093   0.41888   1.39754  -1.96493   0.77618   1.10626   0.00000     ... ... ..... ....... ......... ........... .............
E24u     2.00000  -1.25743  -0.41888   1.78414  -1.82454   0.51009   1.18314  -1.99780   1.32894   0.32675  -1.73981   1.86093  -0.60017  -1.10626   1.99121  -1.39754  -0.23391   1.69166  -1.89323   0.68893   1.02695  -1.98025   1.46306   0.14055  -1.63980   1.92137  -0.77618  -0.94538   1.96493  -1.52537  -0.04689   1.58432  -1.94529   0.86173   0.00000  -2.00000  -0.86173   1.94529  -1.58432   0.04689   1.52537  -1.96493   0.94538   0.77618  -1.92137   1.63980  -0.14055  -1.46306   1.98025  -1.02695  -0.68893   1.89323  -1.69166   0.23391   1.39754  -1.99121   1.10626   0.60017  -1.86093   1.73981  -0.32675  -1.32894   1.99780  -1.18314  -0.51009   1.82454  -1.78414   0.41888   1.25743   0.00000     ... ... ..... ....... ......... ........... .............
E25u     2.00000  -1.39754  -0.04689   1.46306  -1.99780   1.32894   0.14055  -1.52537   1.99121  -1.25743  -0.23391   1.58432  -1.98025   1.18314   0.32675  -1.63980   1.96493  -1.10626  -0.41888   1.69166  -1.94529   1.02695   0.51009  -1.73981   1.92137  -0.94538  -0.60017   1.78414  -1.89323   0.86173   0.68893  -1.82454   1.86093  -0.77618   0.00000  -2.00000   0.77618  -1.86093   1.82454  -0.68893  -0.86173   1.89323  -1.78414   0.60017   0.94538  -1.92137   1.73981  -0.51009  -1.02695   1.94529  -1.69166   0.41888   1.10626  -1.96493   1.63980  -0.32675  -1.18314   1.98025  -1.58432   0.23391   1.25743  -1.99121   1.52537  -0.14055  -1.32894   1.99780  -1.46306   0.04689   1.39754   0.00000     ... ... ..... ....... ......... ........... .............
E26u     2.00000  -1.52537   0.32675   1.02695  -1.89323   1.86093  -0.94538  -0.41888   1.58432  -1.99780   1.46306  -0.23391  -1.10626   1.92137  -1.82454   0.86173   0.51009  -1.63980   1.99121  -1.39754   0.14055   1.18314  -1.94529   1.78414  -0.77618  -0.60017   1.69166  -1.98025   1.32894  -0.04689  -1.25743   1.96493  -1.73981   0.68893   0.00000  -2.00000  -0.68893   1.73981  -1.96493   1.25743   0.04689  -1.32894   1.98025  -1.69166   0.60017   0.77618  -1.78414   1.94529  -1.18314  -0.14055   1.39754  -1.99121   1.63980  -0.51009  -0.86173   1.82454  -1.92137   1.10626   0.23391  -1.46306   1.99780  -1.58432   0.41888   0.94538  -1.86093   1.89323  -1.02695  -0.32675   1.52537   0.00000     ... ... ..... ....... ......... ........... .............
E27u     2.00000  -1.63980   0.68893   0.51009  -1.52537   1.99121  -1.73981   0.86173   0.32675  -1.39754   1.96493  -1.82454   1.02695   0.14055  -1.25743   1.92137  -1.89323   1.18314  -0.04689  -1.10626   1.86093  -1.94529   1.32894  -0.23391  -0.94538   1.78414  -1.98025   1.46306  -0.41888  -0.77618   1.69166  -1.99780   1.58432  -0.60017   0.00000  -2.00000   0.60017  -1.58432   1.99780  -1.69166   0.77618   0.41888  -1.46306   1.98025  -1.78414   0.94538   0.23391  -1.32894   1.94529  -1.86093   1.10626   0.04689  -1.18314   1.89323  -1.92137   1.25743  -0.14055  -1.02695   1.82454  -1.96493   1.39754  -0.32675  -0.86173   1.73981  -1.99121   1.52537  -0.51009  -0.68893   1.63980   0.00000     ... ... ..... ....... ......... ........... .............
E28u     2.00000  -1.73981   1.02695  -0.04689  -0.94538   1.69166  -1.99780   1.78414  -1.10626   0.14055   0.86173  -1.63980   1.99121  -1.82454   1.18314  -0.23391  -0.77618   1.58432  -1.98025   1.86093  -1.25743   0.32675   0.68893  -1.52537   1.96493  -1.89323   1.32894  -0.41888  -0.60017   1.46306  -1.94529   1.92137  -1.39754   0.51009   0.00000  -2.00000  -0.51009   1.39754  -1.92137   1.94529  -1.46306   0.60017   0.41888  -1.32894   1.89323  -1.96493   1.52537  -0.68893  -0.32675   1.25743  -1.86093   1.98025  -1.58432   0.77618   0.23391  -1.18314   1.82454  -1.99121   1.63980  -0.86173  -0.14055   1.10626  -1.78414   1.99780  -1.69166   0.94538   0.04689  -1.02695   1.73981   0.00000     ... ... ..... ....... ......... ........... .............
E29u     2.00000  -1.82454   1.32894  -0.60017  -0.23391   1.02695  -1.63980   1.96493  -1.94529   1.58432  -0.94538   0.14055   0.68893  -1.39754   1.86093  -1.99780   1.78414  -1.25743   0.51009   0.32675  -1.10626   1.69166  -1.98025   1.92137  -1.52537   0.86173  -0.04689  -0.77618   1.46306  -1.89323   1.99121  -1.73981   1.18314  -0.41888   0.00000  -2.00000   0.41888  -1.18314   1.73981  -1.99121   1.89323  -1.46306   0.77618   0.04689  -0.86173   1.52537  -1.92137   1.98025  -1.69166   1.10626  -0.32675  -0.51009   1.25743  -1.78414   1.99780  -1.86093   1.39754  -0.68893  -0.14055   0.94538  -1.58432   1.94529  -1.96493   1.63980  -1.02695   0.23391   0.60017  -1.32894   1.82454   0.00000     ... ... ..... ....... ......... ........... .............
E30u     2.00000  -1.89323   1.58432  -1.10626   0.51009   0.14055  -0.77618   1.32894  -1.73981   1.96493  -1.98025   1.78414  -1.39754   0.86173  -0.23391  -0.41888   1.02695  -1.52537   1.86093  -1.99780   1.92137  -1.63980   1.18314  -0.60017  -0.04689   0.68893  -1.25743   1.69166  -1.94529   1.99121  -1.82454   1.46306  -0.94538   0.32675   0.00000  -2.00000  -0.32675   0.94538  -1.46306   1.82454  -1.99121   1.94529  -1.69166   1.25743  -0.68893   0.04689   0.60017  -1.18314   1.63980  -1.92137   1.99780  -1.86093   1.52537  -1.02695   0.41888   0.23391  -0.86173   1.39754  -1.78414   1.98025  -1.96493   1.73981  -1.32894   0.77618  -0.14055  -0.51009   1.10626  -1.58432   1.89323   0.00000     ... ... ..... ....... ......... ........... .............
E31u     2.00000  -1.94529   1.78414  -1.52537   1.18314  -0.77618   0.32675   0.14055  -0.60017   1.02695  -1.39754   1.69166  -1.89323   1.99121  -1.98025   1.86093  -1.63980   1.32894  -0.94538   0.51009  -0.04689  -0.41888   0.86173  -1.25743   1.58432  -1.82454   1.96493  -1.99780   1.92137  -1.73981   1.46306  -1.10626   0.68893  -0.23391   0.00000  -2.00000   0.23391  -0.68893   1.10626  -1.46306   1.73981  -1.92137   1.99780  -1.96493   1.82454  -1.58432   1.25743  -0.86173   0.41888   0.04689  -0.51009   0.94538  -1.32894   1.63980  -1.86093   1.98025  -1.99121   1.89323  -1.69166   1.39754  -1.02695   0.60017  -0.14055  -0.32675   0.77618  -1.18314   1.52537  -1.78414   1.94529   0.00000     ... ... ..... ....... ......... ........... .............
E32u     2.00000  -1.98025   1.92137  -1.82454   1.69166  -1.52537   1.32894  -1.10626   0.86173  -0.60017   0.32675  -0.04689  -0.23391   0.51009  -0.77618   1.02695  -1.25743   1.46306  -1.63980   1.78414  -1.89323   1.96493  -1.99780   1.99121  -1.94529   1.86093  -1.73981   1.58432  -1.39754   1.18314  -0.94538   0.68893  -0.41888   0.14055   0.00000  -2.00000  -0.14055   0.41888  -0.68893   0.94538  -1.18314   1.39754  -1.58432   1.73981  -1.86093   1.94529  -1.99121   1.99780  -1.96493   1.89323  -1.78414   1.63980  -1.46306   1.25743  -1.02695   0.77618  -0.51009   0.23391   0.04689  -0.32675   0.60017  -0.86173   1.10626  -1.32894   1.52537  -1.69166   1.82454  -1.92137   1.98025   0.00000     ... ... ..... ....... ......... ........... .............
E33u     2.00000  -1.99780   1.99121  -1.98025   1.96493  -1.94529   1.92137  -1.89323   1.86093  -1.82454   1.78414  -1.73981   1.69166  -1.63980   1.58432  -1.52537   1.46306  -1.39754   1.32894  -1.25743   1.18314  -1.10626   1.02695  -0.94538   0.86173  -0.77618   0.68893  -0.60017   0.51009  -0.41888   0.32675  -0.23391   0.14055  -0.04689   0.00000  -2.00000   0.04689  -0.14055   0.23391  -0.32675   0.41888  -0.51009   0.60017  -0.68893   0.77618  -0.86173   0.94538  -1.02695   1.10626  -1.18314   1.25743  -1.32894   1.39754  -1.46306   1.52537  -1.58432   1.63980  -1.69166   1.73981  -1.78414   1.82454  -1.86093   1.89323  -1.92137   1.94529  -1.96493   1.98025  -1.99121   1.99780   0.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.997801782971 = 2*cos(2*π/134) = 2*cos(π/67)
                               1.991211964044 = 2*cos(4*π/134) = 2*cos(2*π/67)
                               1.980245029069 = 2*cos(6*π/134) = 2*cos(3*π/67)
                               1.964925085751 = 2*cos(8*π/134) = 2*cos(4*π/67)
                               1.945285810650 = 2*cos(10*π/134) = 2*cos(5*π/67)
                               1.921370375154 = 2*cos(12*π/134) = 2*cos(6*π/67)
                               1.893231350581 = 2*cos(14*π/134) = 2*cos(7*π/67)
                               1.860930592614 = 2*cos(16*π/134) = 2*cos(8*π/67)
                               1.824539105330 = 2*cos(18*π/134) = 2*cos(9*π/67)
                               1.784136885115 = 2*cos(20*π/134) = 2*cos(10*π/67)
                               1.739812744818 = 2*cos(22*π/134) = 2*cos(11*π/67)
                               1.691664118518 = 2*cos(24*π/134) = 2*cos(12*π/67)
                               1.639796847347 = 2*cos(26*π/134) = 2*cos(13*π/67)
                               1.584324946822 = 2*cos(28*π/134) = 2*cos(14*π/67)
                               1.525370356221 = 2*cos(30*π/134) = 2*cos(15*π/67)
                               1.463062670527 = 2*cos(32*π/134) = 2*cos(16*π/67)
                               1.397538855558 = 2*cos(34*π/134) = 2*cos(17*π/67)
                               1.328942946878 = 2*cos(36*π/134) = 2*cos(18*π/67)
                               1.257425733182 = 2*cos(38*π/134) = 2*cos(19*π/67)
                               1.183144424827 = 2*cos(40*π/134) = 2*cos(20*π/67)
                               1.106262308250 = 2*cos(42*π/134) = 2*cos(21*π/67)
                               1.026948387030 = 2*cos(44*π/134) = 2*cos(22*π/67)
                               0.945377010377 = 2*cos(46*π/134) = 2*cos(23*π/67)
                               0.861727489882 = 2*cos(48*π/134) = 2*cos(24*π/67)
                               0.776183705344 = 2*cos(50*π/134) = 2*cos(25*π/67)
                               0.688933700569 = 2*cos(52*π/134) = 2*cos(26*π/67)
                               0.600169270001 = 2*cos(54*π/134) = 2*cos(27*π/67)
                               0.510085537123 = 2*cos(56*π/134) = 2*cos(28*π/67)
                               0.418880525532 = 2*cos(58*π/134) = 2*cos(29*π/67)
                               0.326754723637 = 2*cos(60*π/134) = 2*cos(30*π/67)
                               0.233910643944 = 2*cos(62*π/134) = 2*cos(31*π/67)
                               0.140552377891 = 2*cos(64*π/134) = 2*cos(32*π/67)
                               0.046885147207 = 2*cos(66*π/134) = 2*cos(33*π/67)



 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 D67d point group is 268, and the order of the principal axis (S134) is 134. The group has 70 irreducible representations.

    β  The D67d point group is isomorphic to D67h, C134v and D134.

    γ  The D67d point group is generated by two symmetry elements, S134 and either a perpendicular C2 or a vertical σd.
       Also, the group may be generated from any C2 plus any σd plane.
       The canonical choice, however, is to use redundant generators: C67, C2 and i.

    δ  The group contains one set of C2 symmetry axes perpendicular to the principal (z) axis. The x axis (but not the y axis) is a member of that set.
       Reversely, the single set of symmetry planes denoted σd contains the yz plane but not the xz plane.

    ε  The lowest nonvanishing multipole moment in D67d 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 just less than half the order of the principal axis.
       For this group, however, none of the irrational characters can be expressed by a closed algebraic form using real numbers only.

This Character Table for the D67d point group was created by Gernot Katzer.

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