Character table for the C126 point group

C126    E         2 C126    2 C63     2 C42     2 C63^2   2 C126^5  2 C21     2 C18     2 C63^4   2 C14     2 C63^5   2 C126^11 2 C21^2   2 C126^13 2 C9      2 C42^5   2 C63^8   2 C126^17 2 C7      2 C126^19 2 C63^10  2 C6      2 C63^11  2 C126^23 2 C21^4   2 C126^25 2 C63^13  2 C14^3   2 C9^2    2 C126^29 2 C21^5   2 C126^31 2 C63^16  2 C42^11  2 C63^17  2 C18^5   2 C7^2    2 C126^37 2 C63^19  2 C42^13  2 C63^20  2 C126^41 2 C3      2 C126^43 2 C63^22  2 C14^5   2 C63^23  2 C126^47 2 C21^8   2 C18^7   2 C63^25  2 C42^17  2 C63^26  2 C126^53 2 C7^3    2 C126^55 2 C9^4    2 C42^19  2 C63^29  2 C126^59 2 C21^10  2 C126^61 2 C63^31  C2           <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A        1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   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 ......T ........T ..........T ............T
B        1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000     ... ... ..... ....... ......... ........... .............
E1  *    2.00000   1.99751   1.99006   1.97766   1.96034   1.93815   1.91115   1.87939   1.84295   1.80194   1.75644   1.70658   1.65248   1.59427   1.53209   1.46610   1.39647   1.32337   1.24698   1.16749   1.08509   1.00000   0.91242   0.82257   0.73068   0.63697   0.54168   0.44504   0.34730   0.24869   0.14946   0.04986  -0.04986  -0.14946  -0.24869  -0.34730  -0.44504  -0.54168  -0.63697  -0.73068  -0.82257  -0.91242  -1.00000  -1.08509  -1.16749  -1.24698  -1.32337  -1.39647  -1.46610  -1.53209  -1.59427  -1.65248  -1.70658  -1.75644  -1.80194  -1.84295  -1.87939  -1.91115  -1.93815  -1.96034  -1.97766  -1.99006  -1.99751  -2.00000     TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT.
E2  *    2.00000   1.99006   1.96034   1.91115   1.84295   1.75644   1.65248   1.53209   1.39647   1.24698   1.08509   0.91242   0.73068   0.54168   0.34730   0.14946  -0.04986  -0.24869  -0.44504  -0.63697  -0.82257  -1.00000  -1.16749  -1.32337  -1.46610  -1.59427  -1.70658  -1.80194  -1.87939  -1.93815  -1.97766  -1.99751  -1.99751  -1.97766  -1.93815  -1.87939  -1.80194  -1.70658  -1.59427  -1.46610  -1.32337  -1.16749  -1.00000  -0.82257  -0.63697  -0.44504  -0.24869  -0.04986   0.14946   0.34730   0.54168   0.73068   0.91242   1.08509   1.24698   1.39647   1.53209   1.65248   1.75644   1.84295   1.91115   1.96034   1.99006   2.00000     ... ... TT... ..TT... ....TT... ......TT... ........TT...
E3  *    2.00000   1.97766   1.91115   1.80194   1.65248   1.46610   1.24698   1.00000   0.73068   0.44504   0.14946  -0.14946  -0.44504  -0.73068  -1.00000  -1.24698  -1.46610  -1.65248  -1.80194  -1.91115  -1.97766  -2.00000  -1.97766  -1.91115  -1.80194  -1.65248  -1.46610  -1.24698  -1.00000  -0.73068  -0.44504  -0.14946   0.14946   0.44504   0.73068   1.00000   1.24698   1.46610   1.65248   1.80194   1.91115   1.97766   2.00000   1.97766   1.91115   1.80194   1.65248   1.46610   1.24698   1.00000   0.73068   0.44504   0.14946  -0.14946  -0.44504  -0.73068  -1.00000  -1.24698  -1.46610  -1.65248  -1.80194  -1.91115  -1.97766  -2.00000     ... ... ..... TT..... ..TT..... ....TT..... ......TT.....
E4  *    2.00000   1.96034   1.84295   1.65248   1.39647   1.08509   0.73068   0.34730  -0.04986  -0.44504  -0.82257  -1.16749  -1.46610  -1.70658  -1.87939  -1.97766  -1.99751  -1.93815  -1.80194  -1.59427  -1.32337  -1.00000  -0.63697  -0.24869   0.14946   0.54168   0.91242   1.24698   1.53209   1.75644   1.91115   1.99006   1.99006   1.91115   1.75644   1.53209   1.24698   0.91242   0.54168   0.14946  -0.24869  -0.63697  -1.00000  -1.32337  -1.59427  -1.80194  -1.93815  -1.99751  -1.97766  -1.87939  -1.70658  -1.46610  -1.16749  -0.82257  -0.44504  -0.04986   0.34730   0.73068   1.08509   1.39647   1.65248   1.84295   1.96034   2.00000     ... ... ..... ....... TT....... ..TT....... ....TT.......
E5  *    2.00000   1.93815   1.75644   1.46610   1.08509   0.63697   0.14946  -0.34730  -0.82257  -1.24698  -1.59427  -1.84295  -1.97766  -1.99006  -1.87939  -1.65248  -1.32337  -0.91242  -0.44504   0.04986   0.54168   1.00000   1.39647   1.70658   1.91115   1.99751   1.96034   1.80194   1.53209   1.16749   0.73068   0.24869  -0.24869  -0.73068  -1.16749  -1.53209  -1.80194  -1.96034  -1.99751  -1.91115  -1.70658  -1.39647  -1.00000  -0.54168  -0.04986   0.44504   0.91242   1.32337   1.65248   1.87939   1.99006   1.97766   1.84295   1.59427   1.24698   0.82257   0.34730  -0.14946  -0.63697  -1.08509  -1.46610  -1.75644  -1.93815  -2.00000     ... ... ..... ....... ......... TT......... ..TT.........
E6  *    2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766  -1.97766  -1.80194  -1.46610  -1.00000  -0.44504   0.14946   0.73068   1.24698   1.65248   1.91115   2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766  -1.97766  -1.80194  -1.46610  -1.00000  -0.44504   0.14946   0.73068   1.24698   1.65248   1.91115   2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766  -1.97766  -1.80194  -1.46610  -1.00000  -0.44504   0.14946   0.73068   1.24698   1.65248   1.91115   2.00000     ... ... ..... ....... ......... ........... TT...........
E7  *    2.00000   1.87939   1.53209   1.00000   0.34730  -0.34730  -1.00000  -1.53209  -1.87939  -2.00000  -1.87939  -1.53209  -1.00000  -0.34730   0.34730   1.00000   1.53209   1.87939   2.00000   1.87939   1.53209   1.00000   0.34730  -0.34730  -1.00000  -1.53209  -1.87939  -2.00000  -1.87939  -1.53209  -1.00000  -0.34730   0.34730   1.00000   1.53209   1.87939   2.00000   1.87939   1.53209   1.00000   0.34730  -0.34730  -1.00000  -1.53209  -1.87939  -2.00000  -1.87939  -1.53209  -1.00000  -0.34730   0.34730   1.00000   1.53209   1.87939   2.00000   1.87939   1.53209   1.00000   0.34730  -0.34730  -1.00000  -1.53209  -1.87939  -2.00000     ... ... ..... ....... ......... ........... .............
E8  *    2.00000   1.84295   1.39647   0.73068  -0.04986  -0.82257  -1.46610  -1.87939  -1.99751  -1.80194  -1.32337  -0.63697   0.14946   0.91242   1.53209   1.91115   1.99006   1.75644   1.24698   0.54168  -0.24869  -1.00000  -1.59427  -1.93815  -1.97766  -1.70658  -1.16749  -0.44504   0.34730   1.08509   1.65248   1.96034   1.96034   1.65248   1.08509   0.34730  -0.44504  -1.16749  -1.70658  -1.97766  -1.93815  -1.59427  -1.00000  -0.24869   0.54168   1.24698   1.75644   1.99006   1.91115   1.53209   0.91242   0.14946  -0.63697  -1.32337  -1.80194  -1.99751  -1.87939  -1.46610  -0.82257  -0.04986   0.73068   1.39647   1.84295   2.00000     ... ... ..... ....... ......... ........... .............
E9  *    2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000  -1.80194  -1.24698  -0.44504   0.44504   1.24698   1.80194   2.00000   1.80194   1.24698   0.44504  -0.44504  -1.24698  -1.80194  -2.00000     ... ... ..... ....... ......... ........... .............
E10 *    2.00000   1.75644   1.08509   0.14946  -0.82257  -1.59427  -1.97766  -1.87939  -1.32337  -0.44504   0.54168   1.39647   1.91115   1.96034   1.53209   0.73068  -0.24869  -1.16749  -1.80194  -1.99751  -1.70658  -1.00000  -0.04986   0.91242   1.65248   1.99006   1.84295   1.24698   0.34730  -0.63697  -1.46610  -1.93815  -1.93815  -1.46610  -0.63697   0.34730   1.24698   1.84295   1.99006   1.65248   0.91242  -0.04986  -1.00000  -1.70658  -1.99751  -1.80194  -1.16749  -0.24869   0.73068   1.53209   1.96034   1.91115   1.39647   0.54168  -0.44504  -1.32337  -1.87939  -1.97766  -1.59427  -0.82257   0.14946   1.08509   1.75644   2.00000     ... ... ..... ....... ......... ........... .............
E11 *    2.00000   1.70658   0.91242  -0.14946  -1.16749  -1.84295  -1.97766  -1.53209  -0.63697   0.44504   1.39647   1.93815   1.91115   1.32337   0.34730  -0.73068  -1.59427  -1.99006  -1.80194  -1.08509  -0.04986   1.00000   1.75644   1.99751   1.65248   0.82257  -0.24869  -1.24698  -1.87939  -1.96034  -1.46610  -0.54168   0.54168   1.46610   1.96034   1.87939   1.24698   0.24869  -0.82257  -1.65248  -1.99751  -1.75644  -1.00000   0.04986   1.08509   1.80194   1.99006   1.59427   0.73068  -0.34730  -1.32337  -1.91115  -1.93815  -1.39647  -0.44504   0.63697   1.53209   1.97766   1.84295   1.16749   0.14946  -0.91242  -1.70658  -2.00000     ... ... ..... ....... ......... ........... .............
E12 *    2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115   1.91115   1.24698   0.14946  -1.00000  -1.80194  -1.97766  -1.46610  -0.44504   0.73068   1.65248   2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115   1.91115   1.24698   0.14946  -1.00000  -1.80194  -1.97766  -1.46610  -0.44504   0.73068   1.65248   2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115   1.91115   1.24698   0.14946  -1.00000  -1.80194  -1.97766  -1.46610  -0.44504   0.73068   1.65248   2.00000     ... ... ..... ....... ......... ........... .............
E13 *    2.00000   1.59427   0.54168  -0.73068  -1.70658  -1.99006  -1.46610  -0.34730   0.91242   1.80194   1.96034   1.32337   0.14946  -1.08509  -1.87939  -1.91115  -1.16749   0.04986   1.24698   1.93815   1.84295   1.00000  -0.24869  -1.39647  -1.97766  -1.75644  -0.82257   0.44504   1.53209   1.99751   1.65248   0.63697  -0.63697  -1.65248  -1.99751  -1.53209  -0.44504   0.82257   1.75644   1.97766   1.39647   0.24869  -1.00000  -1.84295  -1.93815  -1.24698  -0.04986   1.16749   1.91115   1.87939   1.08509  -0.14946  -1.32337  -1.96034  -1.80194  -0.91242   0.34730   1.46610   1.99006   1.70658   0.73068  -0.54168  -1.59427  -2.00000     ... ... ..... ....... ......... ........... .............
E14 *    2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000     ... ... ..... ....... ......... ........... .............
E15 *    2.00000   1.46610   0.14946  -1.24698  -1.97766  -1.65248  -0.44504   1.00000   1.91115   1.80194   0.73068  -0.73068  -1.80194  -1.91115  -1.00000   0.44504   1.65248   1.97766   1.24698  -0.14946  -1.46610  -2.00000  -1.46610  -0.14946   1.24698   1.97766   1.65248   0.44504  -1.00000  -1.91115  -1.80194  -0.73068   0.73068   1.80194   1.91115   1.00000  -0.44504  -1.65248  -1.97766  -1.24698   0.14946   1.46610   2.00000   1.46610   0.14946  -1.24698  -1.97766  -1.65248  -0.44504   1.00000   1.91115   1.80194   0.73068  -0.73068  -1.80194  -1.91115  -1.00000   0.44504   1.65248   1.97766   1.24698  -0.14946  -1.46610  -2.00000     ... ... ..... ....... ......... ........... .............
E16 *    2.00000   1.39647  -0.04986  -1.46610  -1.99751  -1.32337   0.14946   1.53209   1.99006   1.24698  -0.24869  -1.59427  -1.97766  -1.16749   0.34730   1.65248   1.96034   1.08509  -0.44504  -1.70658  -1.93815  -1.00000   0.54168   1.75644   1.91115   0.91242  -0.63697  -1.80194  -1.87939  -0.82257   0.73068   1.84295   1.84295   0.73068  -0.82257  -1.87939  -1.80194  -0.63697   0.91242   1.91115   1.75644   0.54168  -1.00000  -1.93815  -1.70658  -0.44504   1.08509   1.96034   1.65248   0.34730  -1.16749  -1.97766  -1.59427  -0.24869   1.24698   1.99006   1.53209   0.14946  -1.32337  -1.99751  -1.46610  -0.04986   1.39647   2.00000     ... ... ..... ....... ......... ........... .............
E17 *    2.00000   1.32337  -0.24869  -1.65248  -1.93815  -0.91242   0.73068   1.87939   1.75644   0.44504  -1.16749  -1.99006  -1.46610   0.04986   1.53209   1.97766   1.08509  -0.54168  -1.80194  -1.84295  -0.63697   1.00000   1.96034   1.59427   0.14946  -1.39647  -1.99751  -1.24698   0.34730   1.70658   1.91115   0.82257  -0.82257  -1.91115  -1.70658  -0.34730   1.24698   1.99751   1.39647  -0.14946  -1.59427  -1.96034  -1.00000   0.63697   1.84295   1.80194   0.54168  -1.08509  -1.97766  -1.53209  -0.04986   1.46610   1.99006   1.16749  -0.44504  -1.75644  -1.87939  -0.73068   0.91242   1.93815   1.65248   0.24869  -1.32337  -2.00000     ... ... ..... ....... ......... ........... .............
E18 *    2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000     ... ... ..... ....... ......... ........... .............
E19 *    2.00000   1.16749  -0.63697  -1.91115  -1.59427   0.04986   1.65248   1.87939   0.54168  -1.24698  -1.99751  -1.08509   0.73068   1.93815   1.53209  -0.14946  -1.70658  -1.84295  -0.44504   1.32337   1.99006   1.00000  -0.82257  -1.96034  -1.46610   0.24869   1.75644   1.80194   0.34730  -1.39647  -1.97766  -0.91242   0.91242   1.97766   1.39647  -0.34730  -1.80194  -1.75644  -0.24869   1.46610   1.96034   0.82257  -1.00000  -1.99006  -1.32337   0.44504   1.84295   1.70658   0.14946  -1.53209  -1.93815  -0.73068   1.08509   1.99751   1.24698  -0.54168  -1.87939  -1.65248  -0.04986   1.59427   1.91115   0.63697  -1.16749  -2.00000     ... ... ..... ....... ......... ........... .............
E20 *    2.00000   1.08509  -0.82257  -1.97766  -1.32337   0.54168   1.91115   1.53209  -0.24869  -1.80194  -1.70658  -0.04986   1.65248   1.84295   0.34730  -1.46610  -1.93815  -0.63697   1.24698   1.99006   0.91242  -1.00000  -1.99751  -1.16749   0.73068   1.96034   1.39647  -0.44504  -1.87939  -1.59427   0.14946   1.75644   1.75644   0.14946  -1.59427  -1.87939  -0.44504   1.39647   1.96034   0.73068  -1.16749  -1.99751  -1.00000   0.91242   1.99006   1.24698  -0.63697  -1.93815  -1.46610   0.34730   1.84295   1.65248  -0.04986  -1.70658  -1.80194  -0.24869   1.53209   1.91115   0.54168  -1.32337  -1.97766  -0.82257   1.08509   2.00000     ... ... ..... ....... ......... ........... .............
E21 *    2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000     ... ... ..... ....... ......... ........... .............
E22 *    2.00000   0.91242  -1.16749  -1.97766  -0.63697   1.39647   1.91115   0.34730  -1.59427  -1.80194  -0.04986   1.75644   1.65248  -0.24869  -1.87939  -1.46610   0.54168   1.96034   1.24698  -0.82257  -1.99751  -1.00000   1.08509   1.99006   0.73068  -1.32337  -1.93815  -0.44504   1.53209   1.84295   0.14946  -1.70658  -1.70658   0.14946   1.84295   1.53209  -0.44504  -1.93815  -1.32337   0.73068   1.99006   1.08509  -1.00000  -1.99751  -0.82257   1.24698   1.96034   0.54168  -1.46610  -1.87939  -0.24869   1.65248   1.75644  -0.04986  -1.80194  -1.59427   0.34730   1.91115   1.39647  -0.63697  -1.97766  -1.16749   0.91242   2.00000     ... ... ..... ....... ......... ........... .............
E23 *    2.00000   0.82257  -1.32337  -1.91115  -0.24869   1.70658   1.65248  -0.34730  -1.93815  -1.24698   0.91242   1.99751   0.73068  -1.39647  -1.87939  -0.14946   1.75644   1.59427  -0.44504  -1.96034  -1.16749   1.00000   1.99006   0.63697  -1.46610  -1.84295  -0.04986   1.80194   1.53209  -0.54168  -1.97766  -1.08509   1.08509   1.97766   0.54168  -1.53209  -1.80194   0.04986   1.84295   1.46610  -0.63697  -1.99006  -1.00000   1.16749   1.96034   0.44504  -1.59427  -1.75644   0.14946   1.87939   1.39647  -0.73068  -1.99751  -0.91242   1.24698   1.93815   0.34730  -1.65248  -1.70658   0.24869   1.91115   1.32337  -0.82257  -2.00000     ... ... ..... ....... ......... ........... .............
E24 *    2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248   1.65248  -0.44504  -1.97766  -1.00000   1.24698   1.91115   0.14946  -1.80194  -1.46610   0.73068   2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248   1.65248  -0.44504  -1.97766  -1.00000   1.24698   1.91115   0.14946  -1.80194  -1.46610   0.73068   2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248   1.65248  -0.44504  -1.97766  -1.00000   1.24698   1.91115   0.14946  -1.80194  -1.46610   0.73068   2.00000     ... ... ..... ....... ......... ........... .............
E25 *    2.00000   0.63697  -1.59427  -1.65248   0.54168   1.99751   0.73068  -1.53209  -1.70658   0.44504   1.99006   0.82257  -1.46610  -1.75644   0.34730   1.97766   0.91242  -1.39647  -1.80194   0.24869   1.96034   1.00000  -1.32337  -1.84295   0.14946   1.93815   1.08509  -1.24698  -1.87939   0.04986   1.91115   1.16749  -1.16749  -1.91115  -0.04986   1.87939   1.24698  -1.08509  -1.93815  -0.14946   1.84295   1.32337  -1.00000  -1.96034  -0.24869   1.80194   1.39647  -0.91242  -1.97766  -0.34730   1.75644   1.46610  -0.82257  -1.99006  -0.44504   1.70658   1.53209  -0.73068  -1.99751  -0.54168   1.65248   1.59427  -0.63697  -2.00000     ... ... ..... ....... ......... ........... .............
E26 *    2.00000   0.54168  -1.70658  -1.46610   0.91242   1.96034   0.14946  -1.87939  -1.16749   1.24698   1.84295  -0.24869  -1.97766  -0.82257   1.53209   1.65248  -0.63697  -1.99751  -0.44504   1.75644   1.39647  -1.00000  -1.93815  -0.04986   1.91115   1.08509  -1.32337  -1.80194   0.34730   1.99006   0.73068  -1.59427  -1.59427   0.73068   1.99006   0.34730  -1.80194  -1.32337   1.08509   1.91115  -0.04986  -1.93815  -1.00000   1.39647   1.75644  -0.44504  -1.99751  -0.63697   1.65248   1.53209  -0.82257  -1.97766  -0.24869   1.84295   1.24698  -1.16749  -1.87939   0.14946   1.96034   0.91242  -1.46610  -1.70658   0.54168   2.00000     ... ... ..... ....... ......... ........... .............
E27 *    2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000  -0.44504   1.80194   1.24698  -1.24698  -1.80194   0.44504   2.00000   0.44504  -1.80194  -1.24698   1.24698   1.80194  -0.44504  -2.00000     ... ... ..... ....... ......... ........... .............
E28 *    2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000     ... ... ..... ....... ......... ........... .............
E29 *    2.00000   0.24869  -1.93815  -0.73068   1.75644   1.16749  -1.46610  -1.53209   1.08509   1.80194  -0.63697  -1.96034   0.14946   1.99751   0.34730  -1.91115  -0.82257   1.70658   1.24698  -1.39647  -1.59427   1.00000   1.84295  -0.54168  -1.97766   0.04986   1.99006   0.44504  -1.87939  -0.91242   1.65248   1.32337  -1.32337  -1.65248   0.91242   1.87939  -0.44504  -1.99006  -0.04986   1.97766   0.54168  -1.84295  -1.00000   1.59427   1.39647  -1.24698  -1.70658   0.82257   1.91115  -0.34730  -1.99751  -0.14946   1.96034   0.63697  -1.80194  -1.08509   1.53209   1.46610  -1.16749  -1.75644   0.73068   1.93815  -0.24869  -2.00000     ... ... ..... ....... ......... ........... .............
E30 *    2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610  -1.46610   1.24698   1.65248  -1.00000  -1.80194   0.73068   1.91115  -0.44504  -1.97766   0.14946   2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610  -1.46610   1.24698   1.65248  -1.00000  -1.80194   0.73068   1.91115  -0.44504  -1.97766   0.14946   2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610  -1.46610   1.24698   1.65248  -1.00000  -1.80194   0.73068   1.91115  -0.44504  -1.97766   0.14946   2.00000     ... ... ..... ....... ......... ........... .............
E31 *    2.00000   0.04986  -1.99751  -0.14946   1.99006   0.24869  -1.97766  -0.34730   1.96034   0.44504  -1.93815  -0.54168   1.91115   0.63697  -1.87939  -0.73068   1.84295   0.82257  -1.80194  -0.91242   1.75644   1.00000  -1.70658  -1.08509   1.65248   1.16749  -1.59427  -1.24698   1.53209   1.32337  -1.46610  -1.39647   1.39647   1.46610  -1.32337  -1.53209   1.24698   1.59427  -1.16749  -1.65248   1.08509   1.70658  -1.00000  -1.75644   0.91242   1.80194  -0.82257  -1.84295   0.73068   1.87939  -0.63697  -1.91115   0.54168   1.93815  -0.44504  -1.96034   0.34730   1.97766  -0.24869  -1.99006   0.14946   1.99751  -0.04986  -2.00000     ... ... ..... ....... ......... ........... .............
E32 *    2.00000  -0.04986  -1.99751   0.14946   1.99006  -0.24869  -1.97766   0.34730   1.96034  -0.44504  -1.93815   0.54168   1.91115  -0.63697  -1.87939   0.73068   1.84295  -0.82257  -1.80194   0.91242   1.75644  -1.00000  -1.70658   1.08509   1.65248  -1.16749  -1.59427   1.24698   1.53209  -1.32337  -1.46610   1.39647   1.39647  -1.46610  -1.32337   1.53209   1.24698  -1.59427  -1.16749   1.65248   1.08509  -1.70658  -1.00000   1.75644   0.91242  -1.80194  -0.82257   1.84295   0.73068  -1.87939  -0.63697   1.91115   0.54168  -1.93815  -0.44504   1.96034   0.34730  -1.97766  -0.24869   1.99006   0.14946  -1.99751  -0.04986   2.00000     ... ... ..... ....... ......... ........... .............
E33 *    2.00000  -0.14946  -1.97766   0.44504   1.91115  -0.73068  -1.80194   1.00000   1.65248  -1.24698  -1.46610   1.46610   1.24698  -1.65248  -1.00000   1.80194   0.73068  -1.91115  -0.44504   1.97766   0.14946  -2.00000   0.14946   1.97766  -0.44504  -1.91115   0.73068   1.80194  -1.00000  -1.65248   1.24698   1.46610  -1.46610  -1.24698   1.65248   1.00000  -1.80194  -0.73068   1.91115   0.44504  -1.97766  -0.14946   2.00000  -0.14946  -1.97766   0.44504   1.91115  -0.73068  -1.80194   1.00000   1.65248  -1.24698  -1.46610   1.46610   1.24698  -1.65248  -1.00000   1.80194   0.73068  -1.91115  -0.44504   1.97766   0.14946  -2.00000     ... ... ..... ....... ......... ........... .............
E34 *    2.00000  -0.24869  -1.93815   0.73068   1.75644  -1.16749  -1.46610   1.53209   1.08509  -1.80194  -0.63697   1.96034   0.14946  -1.99751   0.34730   1.91115  -0.82257  -1.70658   1.24698   1.39647  -1.59427  -1.00000   1.84295   0.54168  -1.97766  -0.04986   1.99006  -0.44504  -1.87939   0.91242   1.65248  -1.32337  -1.32337   1.65248   0.91242  -1.87939  -0.44504   1.99006  -0.04986  -1.97766   0.54168   1.84295  -1.00000  -1.59427   1.39647   1.24698  -1.70658  -0.82257   1.91115   0.34730  -1.99751   0.14946   1.96034  -0.63697  -1.80194   1.08509   1.53209  -1.46610  -1.16749   1.75644   0.73068  -1.93815  -0.24869   2.00000     ... ... ..... ....... ......... ........... .............
E35 *    2.00000  -0.34730  -1.87939   1.00000   1.53209  -1.53209  -1.00000   1.87939   0.34730  -2.00000   0.34730   1.87939  -1.00000  -1.53209   1.53209   1.00000  -1.87939  -0.34730   2.00000  -0.34730  -1.87939   1.00000   1.53209  -1.53209  -1.00000   1.87939   0.34730  -2.00000   0.34730   1.87939  -1.00000  -1.53209   1.53209   1.00000  -1.87939  -0.34730   2.00000  -0.34730  -1.87939   1.00000   1.53209  -1.53209  -1.00000   1.87939   0.34730  -2.00000   0.34730   1.87939  -1.00000  -1.53209   1.53209   1.00000  -1.87939  -0.34730   2.00000  -0.34730  -1.87939   1.00000   1.53209  -1.53209  -1.00000   1.87939   0.34730  -2.00000     ... ... ..... ....... ......... ........... .............
E36 *    2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000     ... ... ..... ....... ......... ........... .............
E37 *    2.00000  -0.54168  -1.70658   1.46610   0.91242  -1.96034   0.14946   1.87939  -1.16749  -1.24698   1.84295   0.24869  -1.97766   0.82257   1.53209  -1.65248  -0.63697   1.99751  -0.44504  -1.75644   1.39647   1.00000  -1.93815   0.04986   1.91115  -1.08509  -1.32337   1.80194   0.34730  -1.99006   0.73068   1.59427  -1.59427  -0.73068   1.99006  -0.34730  -1.80194   1.32337   1.08509  -1.91115  -0.04986   1.93815  -1.00000  -1.39647   1.75644   0.44504  -1.99751   0.63697   1.65248  -1.53209  -0.82257   1.97766  -0.24869  -1.84295   1.24698   1.16749  -1.87939  -0.14946   1.96034  -0.91242  -1.46610   1.70658   0.54168  -2.00000     ... ... ..... ....... ......... ........... .............
E38 *    2.00000  -0.63697  -1.59427   1.65248   0.54168  -1.99751   0.73068   1.53209  -1.70658  -0.44504   1.99006  -0.82257  -1.46610   1.75644   0.34730  -1.97766   0.91242   1.39647  -1.80194  -0.24869   1.96034  -1.00000  -1.32337   1.84295   0.14946  -1.93815   1.08509   1.24698  -1.87939  -0.04986   1.91115  -1.16749  -1.16749   1.91115  -0.04986  -1.87939   1.24698   1.08509  -1.93815   0.14946   1.84295  -1.32337  -1.00000   1.96034  -0.24869  -1.80194   1.39647   0.91242  -1.97766   0.34730   1.75644  -1.46610  -0.82257   1.99006  -0.44504  -1.70658   1.53209   0.73068  -1.99751   0.54168   1.65248  -1.59427  -0.63697   2.00000     ... ... ..... ....... ......... ........... .............
E39 *    2.00000  -0.73068  -1.46610   1.80194   0.14946  -1.91115   1.24698   1.00000  -1.97766   0.44504   1.65248  -1.65248  -0.44504   1.97766  -1.00000  -1.24698   1.91115  -0.14946  -1.80194   1.46610   0.73068  -2.00000   0.73068   1.46610  -1.80194  -0.14946   1.91115  -1.24698  -1.00000   1.97766  -0.44504  -1.65248   1.65248   0.44504  -1.97766   1.00000   1.24698  -1.91115   0.14946   1.80194  -1.46610  -0.73068   2.00000  -0.73068  -1.46610   1.80194   0.14946  -1.91115   1.24698   1.00000  -1.97766   0.44504   1.65248  -1.65248  -0.44504   1.97766  -1.00000  -1.24698   1.91115  -0.14946  -1.80194   1.46610   0.73068  -2.00000     ... ... ..... ....... ......... ........... .............
E40 *    2.00000  -0.82257  -1.32337   1.91115  -0.24869  -1.70658   1.65248   0.34730  -1.93815   1.24698   0.91242  -1.99751   0.73068   1.39647  -1.87939   0.14946   1.75644  -1.59427  -0.44504   1.96034  -1.16749  -1.00000   1.99006  -0.63697  -1.46610   1.84295  -0.04986  -1.80194   1.53209   0.54168  -1.97766   1.08509   1.08509  -1.97766   0.54168   1.53209  -1.80194  -0.04986   1.84295  -1.46610  -0.63697   1.99006  -1.00000  -1.16749   1.96034  -0.44504  -1.59427   1.75644   0.14946  -1.87939   1.39647   0.73068  -1.99751   0.91242   1.24698  -1.93815   0.34730   1.65248  -1.70658  -0.24869   1.91115  -1.32337  -0.82257   2.00000     ... ... ..... ....... ......... ........... .............
E41 *    2.00000  -0.91242  -1.16749   1.97766  -0.63697  -1.39647   1.91115  -0.34730  -1.59427   1.80194  -0.04986  -1.75644   1.65248   0.24869  -1.87939   1.46610   0.54168  -1.96034   1.24698   0.82257  -1.99751   1.00000   1.08509  -1.99006   0.73068   1.32337  -1.93815   0.44504   1.53209  -1.84295   0.14946   1.70658  -1.70658  -0.14946   1.84295  -1.53209  -0.44504   1.93815  -1.32337  -0.73068   1.99006  -1.08509  -1.00000   1.99751  -0.82257  -1.24698   1.96034  -0.54168  -1.46610   1.87939  -0.24869  -1.65248   1.75644   0.04986  -1.80194   1.59427   0.34730  -1.91115   1.39647   0.63697  -1.97766   1.16749   0.91242  -2.00000     ... ... ..... ....... ......... ........... .............
E42 *    2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000     ... ... ..... ....... ......... ........... .............
E43 *    2.00000  -1.08509  -0.82257   1.97766  -1.32337  -0.54168   1.91115  -1.53209  -0.24869   1.80194  -1.70658   0.04986   1.65248  -1.84295   0.34730   1.46610  -1.93815   0.63697   1.24698  -1.99006   0.91242   1.00000  -1.99751   1.16749   0.73068  -1.96034   1.39647   0.44504  -1.87939   1.59427   0.14946  -1.75644   1.75644  -0.14946  -1.59427   1.87939  -0.44504  -1.39647   1.96034  -0.73068  -1.16749   1.99751  -1.00000  -0.91242   1.99006  -1.24698  -0.63697   1.93815  -1.46610  -0.34730   1.84295  -1.65248  -0.04986   1.70658  -1.80194   0.24869   1.53209  -1.91115   0.54168   1.32337  -1.97766   0.82257   1.08509  -2.00000     ... ... ..... ....... ......... ........... .............
E44 *    2.00000  -1.16749  -0.63697   1.91115  -1.59427  -0.04986   1.65248  -1.87939   0.54168   1.24698  -1.99751   1.08509   0.73068  -1.93815   1.53209   0.14946  -1.70658   1.84295  -0.44504  -1.32337   1.99006  -1.00000  -0.82257   1.96034  -1.46610  -0.24869   1.75644  -1.80194   0.34730   1.39647  -1.97766   0.91242   0.91242  -1.97766   1.39647   0.34730  -1.80194   1.75644  -0.24869  -1.46610   1.96034  -0.82257  -1.00000   1.99006  -1.32337  -0.44504   1.84295  -1.70658   0.14946   1.53209  -1.93815   0.73068   1.08509  -1.99751   1.24698   0.54168  -1.87939   1.65248  -0.04986  -1.59427   1.91115  -0.63697  -1.16749   2.00000     ... ... ..... ....... ......... ........... .............
E45 *    2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000   1.24698   0.44504  -1.80194   1.80194  -0.44504  -1.24698   2.00000  -1.24698  -0.44504   1.80194  -1.80194   0.44504   1.24698  -2.00000     ... ... ..... ....... ......... ........... .............
E46 *    2.00000  -1.32337  -0.24869   1.65248  -1.93815   0.91242   0.73068  -1.87939   1.75644  -0.44504  -1.16749   1.99006  -1.46610  -0.04986   1.53209  -1.97766   1.08509   0.54168  -1.80194   1.84295  -0.63697  -1.00000   1.96034  -1.59427   0.14946   1.39647  -1.99751   1.24698   0.34730  -1.70658   1.91115  -0.82257  -0.82257   1.91115  -1.70658   0.34730   1.24698  -1.99751   1.39647   0.14946  -1.59427   1.96034  -1.00000  -0.63697   1.84295  -1.80194   0.54168   1.08509  -1.97766   1.53209  -0.04986  -1.46610   1.99006  -1.16749  -0.44504   1.75644  -1.87939   0.73068   0.91242  -1.93815   1.65248  -0.24869  -1.32337   2.00000     ... ... ..... ....... ......... ........... .............
E47 *    2.00000  -1.39647  -0.04986   1.46610  -1.99751   1.32337   0.14946  -1.53209   1.99006  -1.24698  -0.24869   1.59427  -1.97766   1.16749   0.34730  -1.65248   1.96034  -1.08509  -0.44504   1.70658  -1.93815   1.00000   0.54168  -1.75644   1.91115  -0.91242  -0.63697   1.80194  -1.87939   0.82257   0.73068  -1.84295   1.84295  -0.73068  -0.82257   1.87939  -1.80194   0.63697   0.91242  -1.91115   1.75644  -0.54168  -1.00000   1.93815  -1.70658   0.44504   1.08509  -1.96034   1.65248  -0.34730  -1.16749   1.97766  -1.59427   0.24869   1.24698  -1.99006   1.53209  -0.14946  -1.32337   1.99751  -1.46610   0.04986   1.39647  -2.00000     ... ... ..... ....... ......... ........... .............
E48 *    2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068   0.73068  -1.80194   1.91115  -1.00000  -0.44504   1.65248  -1.97766   1.24698   0.14946  -1.46610   2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068   0.73068  -1.80194   1.91115  -1.00000  -0.44504   1.65248  -1.97766   1.24698   0.14946  -1.46610   2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068   0.73068  -1.80194   1.91115  -1.00000  -0.44504   1.65248  -1.97766   1.24698   0.14946  -1.46610   2.00000     ... ... ..... ....... ......... ........... .............
E49 *    2.00000  -1.53209   0.34730   1.00000  -1.87939   1.87939  -1.00000  -0.34730   1.53209  -2.00000   1.53209  -0.34730  -1.00000   1.87939  -1.87939   1.00000   0.34730  -1.53209   2.00000  -1.53209   0.34730   1.00000  -1.87939   1.87939  -1.00000  -0.34730   1.53209  -2.00000   1.53209  -0.34730  -1.00000   1.87939  -1.87939   1.00000   0.34730  -1.53209   2.00000  -1.53209   0.34730   1.00000  -1.87939   1.87939  -1.00000  -0.34730   1.53209  -2.00000   1.53209  -0.34730  -1.00000   1.87939  -1.87939   1.00000   0.34730  -1.53209   2.00000  -1.53209   0.34730   1.00000  -1.87939   1.87939  -1.00000  -0.34730   1.53209  -2.00000     ... ... ..... ....... ......... ........... .............
E50 *    2.00000  -1.59427   0.54168   0.73068  -1.70658   1.99006  -1.46610   0.34730   0.91242  -1.80194   1.96034  -1.32337   0.14946   1.08509  -1.87939   1.91115  -1.16749  -0.04986   1.24698  -1.93815   1.84295  -1.00000  -0.24869   1.39647  -1.97766   1.75644  -0.82257  -0.44504   1.53209  -1.99751   1.65248  -0.63697  -0.63697   1.65248  -1.99751   1.53209  -0.44504  -0.82257   1.75644  -1.97766   1.39647  -0.24869  -1.00000   1.84295  -1.93815   1.24698  -0.04986  -1.16749   1.91115  -1.87939   1.08509   0.14946  -1.32337   1.96034  -1.80194   0.91242   0.34730  -1.46610   1.99006  -1.70658   0.73068   0.54168  -1.59427   2.00000     ... ... ..... ....... ......... ........... .............
E51 *    2.00000  -1.65248   0.73068   0.44504  -1.46610   1.97766  -1.80194   1.00000   0.14946  -1.24698   1.91115  -1.91115   1.24698  -0.14946  -1.00000   1.80194  -1.97766   1.46610  -0.44504  -0.73068   1.65248  -2.00000   1.65248  -0.73068  -0.44504   1.46610  -1.97766   1.80194  -1.00000  -0.14946   1.24698  -1.91115   1.91115  -1.24698   0.14946   1.00000  -1.80194   1.97766  -1.46610   0.44504   0.73068  -1.65248   2.00000  -1.65248   0.73068   0.44504  -1.46610   1.97766  -1.80194   1.00000   0.14946  -1.24698   1.91115  -1.91115   1.24698  -0.14946  -1.00000   1.80194  -1.97766   1.46610  -0.44504  -0.73068   1.65248  -2.00000     ... ... ..... ....... ......... ........... .............
E52 *    2.00000  -1.70658   0.91242   0.14946  -1.16749   1.84295  -1.97766   1.53209  -0.63697  -0.44504   1.39647  -1.93815   1.91115  -1.32337   0.34730   0.73068  -1.59427   1.99006  -1.80194   1.08509  -0.04986  -1.00000   1.75644  -1.99751   1.65248  -0.82257  -0.24869   1.24698  -1.87939   1.96034  -1.46610   0.54168   0.54168  -1.46610   1.96034  -1.87939   1.24698  -0.24869  -0.82257   1.65248  -1.99751   1.75644  -1.00000  -0.04986   1.08509  -1.80194   1.99006  -1.59427   0.73068   0.34730  -1.32337   1.91115  -1.93815   1.39647  -0.44504  -0.63697   1.53209  -1.97766   1.84295  -1.16749   0.14946   0.91242  -1.70658   2.00000     ... ... ..... ....... ......... ........... .............
E53 *    2.00000  -1.75644   1.08509  -0.14946  -0.82257   1.59427  -1.97766   1.87939  -1.32337   0.44504   0.54168  -1.39647   1.91115  -1.96034   1.53209  -0.73068  -0.24869   1.16749  -1.80194   1.99751  -1.70658   1.00000  -0.04986  -0.91242   1.65248  -1.99006   1.84295  -1.24698   0.34730   0.63697  -1.46610   1.93815  -1.93815   1.46610  -0.63697  -0.34730   1.24698  -1.84295   1.99006  -1.65248   0.91242   0.04986  -1.00000   1.70658  -1.99751   1.80194  -1.16749   0.24869   0.73068  -1.53209   1.96034  -1.91115   1.39647  -0.54168  -0.44504   1.32337  -1.87939   1.97766  -1.59427   0.82257   0.14946  -1.08509   1.75644  -2.00000     ... ... ..... ....... ......... ........... .............
E54 *    2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000     ... ... ..... ....... ......... ........... .............
E55 *    2.00000  -1.84295   1.39647  -0.73068  -0.04986   0.82257  -1.46610   1.87939  -1.99751   1.80194  -1.32337   0.63697   0.14946  -0.91242   1.53209  -1.91115   1.99006  -1.75644   1.24698  -0.54168  -0.24869   1.00000  -1.59427   1.93815  -1.97766   1.70658  -1.16749   0.44504   0.34730  -1.08509   1.65248  -1.96034   1.96034  -1.65248   1.08509  -0.34730  -0.44504   1.16749  -1.70658   1.97766  -1.93815   1.59427  -1.00000   0.24869   0.54168  -1.24698   1.75644  -1.99006   1.91115  -1.53209   0.91242  -0.14946  -0.63697   1.32337  -1.80194   1.99751  -1.87939   1.46610  -0.82257   0.04986   0.73068  -1.39647   1.84295  -2.00000     ... ... ..... ....... ......... ........... .............
E56 *    2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000     ... ... ..... ....... ......... ........... .............
E57 *    2.00000  -1.91115   1.65248  -1.24698   0.73068  -0.14946  -0.44504   1.00000  -1.46610   1.80194  -1.97766   1.97766  -1.80194   1.46610  -1.00000   0.44504   0.14946  -0.73068   1.24698  -1.65248   1.91115  -2.00000   1.91115  -1.65248   1.24698  -0.73068   0.14946   0.44504  -1.00000   1.46610  -1.80194   1.97766  -1.97766   1.80194  -1.46610   1.00000  -0.44504  -0.14946   0.73068  -1.24698   1.65248  -1.91115   2.00000  -1.91115   1.65248  -1.24698   0.73068  -0.14946  -0.44504   1.00000  -1.46610   1.80194  -1.97766   1.97766  -1.80194   1.46610  -1.00000   0.44504   0.14946  -0.73068   1.24698  -1.65248   1.91115  -2.00000     ... ... ..... ....... ......... ........... .............
E58 *    2.00000  -1.93815   1.75644  -1.46610   1.08509  -0.63697   0.14946   0.34730  -0.82257   1.24698  -1.59427   1.84295  -1.97766   1.99006  -1.87939   1.65248  -1.32337   0.91242  -0.44504  -0.04986   0.54168  -1.00000   1.39647  -1.70658   1.91115  -1.99751   1.96034  -1.80194   1.53209  -1.16749   0.73068  -0.24869  -0.24869   0.73068  -1.16749   1.53209  -1.80194   1.96034  -1.99751   1.91115  -1.70658   1.39647  -1.00000   0.54168  -0.04986  -0.44504   0.91242  -1.32337   1.65248  -1.87939   1.99006  -1.97766   1.84295  -1.59427   1.24698  -0.82257   0.34730   0.14946  -0.63697   1.08509  -1.46610   1.75644  -1.93815   2.00000     ... ... ..... ....... ......... ........... .............
E59 *    2.00000  -1.96034   1.84295  -1.65248   1.39647  -1.08509   0.73068  -0.34730  -0.04986   0.44504  -0.82257   1.16749  -1.46610   1.70658  -1.87939   1.97766  -1.99751   1.93815  -1.80194   1.59427  -1.32337   1.00000  -0.63697   0.24869   0.14946  -0.54168   0.91242  -1.24698   1.53209  -1.75644   1.91115  -1.99006   1.99006  -1.91115   1.75644  -1.53209   1.24698  -0.91242   0.54168  -0.14946  -0.24869   0.63697  -1.00000   1.32337  -1.59427   1.80194  -1.93815   1.99751  -1.97766   1.87939  -1.70658   1.46610  -1.16749   0.82257  -0.44504   0.04986   0.34730  -0.73068   1.08509  -1.39647   1.65248  -1.84295   1.96034  -2.00000     ... ... ..... ....... ......... ........... .............
E60 *    2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946   0.14946  -0.44504   0.73068  -1.00000   1.24698  -1.46610   1.65248  -1.80194   1.91115  -1.97766   2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946   0.14946  -0.44504   0.73068  -1.00000   1.24698  -1.46610   1.65248  -1.80194   1.91115  -1.97766   2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946   0.14946  -0.44504   0.73068  -1.00000   1.24698  -1.46610   1.65248  -1.80194   1.91115  -1.97766   2.00000     ... ... ..... ....... ......... ........... .............
E61 *    2.00000  -1.99006   1.96034  -1.91115   1.84295  -1.75644   1.65248  -1.53209   1.39647  -1.24698   1.08509  -0.91242   0.73068  -0.54168   0.34730  -0.14946  -0.04986   0.24869  -0.44504   0.63697  -0.82257   1.00000  -1.16749   1.32337  -1.46610   1.59427  -1.70658   1.80194  -1.87939   1.93815  -1.97766   1.99751  -1.99751   1.97766  -1.93815   1.87939  -1.80194   1.70658  -1.59427   1.46610  -1.32337   1.16749  -1.00000   0.82257  -0.63697   0.44504  -0.24869   0.04986   0.14946  -0.34730   0.54168  -0.73068   0.91242  -1.08509   1.24698  -1.39647   1.53209  -1.65248   1.75644  -1.84295   1.91115  -1.96034   1.99006  -2.00000     ... ... ..... ....... ......... ........... .............
E62 *    2.00000  -1.99751   1.99006  -1.97766   1.96034  -1.93815   1.91115  -1.87939   1.84295  -1.80194   1.75644  -1.70658   1.65248  -1.59427   1.53209  -1.46610   1.39647  -1.32337   1.24698  -1.16749   1.08509  -1.00000   0.91242  -0.82257   0.73068  -0.63697   0.54168  -0.44504   0.34730  -0.24869   0.14946  -0.04986  -0.04986   0.14946  -0.24869   0.34730  -0.44504   0.54168  -0.63697   0.73068  -0.82257   0.91242  -1.00000   1.08509  -1.16749   1.24698  -1.32337   1.39647  -1.46610   1.53209  -1.59427   1.65248  -1.70658   1.75644  -1.80194   1.84295  -1.87939   1.91115  -1.93815   1.96034  -1.97766   1.99006  -1.99751   2.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.997513842438 = 2*cos(2*π/126) = 2*cos(π/63)
                               1.990061550731 = 2*cos(4*π/126) = 2*cos(2*π/63)
                               1.977661652450 = 2*cos(6*π/126) = 2*cos(π/21)
                               1.960344975697 = 2*cos(8*π/126) = 2*cos(4*π/63)
                               1.938154572458 = 2*cos(10*π/126) = 2*cos(5*π/63)
                               1.911145611572 = 2*cos(12*π/126) = 2*cos(2*π/21)
                               1.879385241572 = 2*cos(14*π/126) = 2*cos(π/9)
                               1.842952423741 = 2*cos(16*π/126) = 2*cos(8*π/63)
                               1.801937735805 = 2*cos(18*π/126) = 2*cos(π/7)
                               1.756443146740 = 2*cos(20*π/126) = 2*cos(10*π/63)
                               1.706581763264 = 2*cos(22*π/126) = 2*cos(11*π/63)
                               1.652477548632 = 2*cos(24*π/126) = 2*cos(4*π/21)
                               1.594265014446 = 2*cos(26*π/126) = 2*cos(13*π/63)
                               1.532088886238 = 2*cos(28*π/126) = 2*cos(2*π/9)
                               1.466103743660 = 2*cos(30*π/126) = 2*cos(5*π/21)
                               1.396473636172 = 2*cos(32*π/126) = 2*cos(16*π/63)
                               1.323371675194 = 2*cos(34*π/126) = 2*cos(17*π/63)
                               1.246979603717 = 2*cos(36*π/126) = 2*cos(2*π/7)
                               1.167487344470 = 2*cos(38*π/126) = 2*cos(19*π/63)
                               1.085092527732 = 2*cos(40*π/126) = 2*cos(20*π/63)
                               0.912421314706 = 2*cos(44*π/126) = 2*cos(22*π/63)
                               0.822574206261 = 2*cos(46*π/126) = 2*cos(23*π/63)
                               0.730682048733 = 2*cos(48*π/126) = 2*cos(8*π/21)
                               0.636973300503 = 2*cos(50*π/126) = 2*cos(25*π/63)
                               0.541680936286 = 2*cos(52*π/126) = 2*cos(26*π/63)
                               0.445041867913 = 2*cos(54*π/126) = 2*cos(3*π/7)
                               0.347296355334 = 2*cos(56*π/126) = 2*cos(4*π/9)
                               0.248687409295 = 2*cos(58*π/126) = 2*cos(29*π/63)
                               0.149460187173 = 2*cos(60*π/126) = 2*cos(10*π/21)
                               0.049861383476 = 2*cos(62*π/126) = 2*cos(31*π/63)



 Symmetry of Rotations and Cartesian products

A    R+p+d+f+g+h+i+j+k+l+m  Rz, z, z2, z3, z4, z5, z6 
E1   R+p+d+f+g+h+i+j+k+l+m  {Rx, Ry}, {x, y}, {xz, yz}, {xz2, yz2}, {xz3, yz3}, {xz4, yz4}, {xz5, yz5} 
E2   d+f+g+h+i+j+k+l+m      {x2y2, xy}, {z(x2y2), xyz}, {z2(x2y2), xyz2}, {z3(x2y2), xyz3}, {z4(x2y2), xyz4} 
E3   f+g+h+i+j+k+l+m        {x(x2−3y2), y(3x2y2)}, {xz(x2−3y2), yz(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E4   g+h+i+j+k+l+m          {(x2y2)2−4x2y2, xy(x2y2)}, {z((x2y2)2−4x2y2), xyz(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E5   h+i+j+k+l+m            {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)}, {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E6   i+j+k+l+m              {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E7   j+k+l+m 
E8   k+l+m 
E9   l+m 
E10  m 

 Notes:

    α  The order of the C126 point group is 126, and the order of the principal axis (C126) is 126. The group has 64 irreducible representations.

    β  The C126 point group is isomorphic to S126 and C63h.

    γ  The C126 point group is generated by one single symmetry element, C126. Therefore, it is a cyclic group.

    δ  The lowest nonvanishing multipole moment in C126 is 2 (dipole moment).

    ε  This is an Abelian point group (the commutative law holds between all symmetry operations).
       The C126 group is Abelian because it contains only one symmetry element, all the powers of which necessarily commute (sufficient condition).
       In Abelian groups, all symmetry operations form a class of their own, and all irreducible representations are one-dimensional.

    ζ  Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters.
       These 124 cases have been combined into 62 two-dimensional representations that are no longer irreducible but have real-valued characters.
       Accordingly, 62 pairs of left and right rotations have been combined into one two-membered pseudo-class each.

    η  The 62 reducible “E” representations almost behave like true irreducible representations.
       Their norm, however, is twice the group order. Therefore, they have been marked with an asterisk in the table.
       This is essential when trying to decompose a reducible representation into “irreducible” ones using the familiar projection formula.

    θ  The point group is chiral, as it does not contain any mirroring operation.

    ι  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.

    κ  The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible
       if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given
       by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three.
       All characters of this group can be expressed using complex numbers, elementary arithmetic operations, square roots and third roots.

This Character Table for the C126 point group was created by Gernot Katzer.

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