Character table for the C118 point group

C118    E         2 C118    2 C59     2 C118^3  2 C59^2   2 C118^5  2 C59^3   2 C118^7  2 C59^4   2 C118^9  2 C59^5   2 C118^11 2 C59^6   2 C118^13 2 C59^7   2 C118^15 2 C59^8   2 C118^17 2 C59^9   2 C118^19 2 C59^10  2 C118^21 2 C59^11  2 C118^23 2 C59^12  2 C118^25 2 C59^13  2 C118^27 2 C59^14  2 C118^29 2 C59^15  2 C118^31 2 C59^16  2 C118^33 2 C59^17  2 C118^35 2 C59^18  2 C118^37 2 C59^19  2 C118^39 2 C59^20  2 C118^41 2 C59^21  2 C118^43 2 C59^22  2 C118^45 2 C59^23  2 C118^47 2 C59^24  2 C118^49 2 C59^25  2 C118^51 2 C59^26  2 C118^53 2 C59^27  2 C118^55 2 C59^28  2 C118^57 2 C59^29  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     ..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     ... ... ..... ....... ......... ........... .............
E1  *    2.00000   1.99717   1.98867   1.97454   1.95481   1.92954   1.89880   1.86267   1.82127   1.77470   1.72311   1.66663   1.60542   1.53967   1.46955   1.39526   1.31702   1.23505   1.14957   1.06084   0.96910   0.87461   0.77765   0.67848   0.57738   0.47465   0.37058   0.26545   0.15957   0.05324  -0.05324  -0.15957  -0.26545  -0.37058  -0.47465  -0.57738  -0.67848  -0.77765  -0.87461  -0.96910  -1.06084  -1.14957  -1.23505  -1.31702  -1.39526  -1.46955  -1.53967  -1.60542  -1.66663  -1.72311  -1.77470  -1.82127  -1.86267  -1.89880  -1.92954  -1.95481  -1.97454  -1.98867  -1.99717  -2.00000     TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT.
E2  *    2.00000   1.98867   1.95481   1.89880   1.82127   1.72311   1.60542   1.46955   1.31702   1.14957   0.96910   0.77765   0.57738   0.37058   0.15957  -0.05324  -0.26545  -0.47465  -0.67848  -0.87461  -1.06084  -1.23505  -1.39526  -1.53967  -1.66663  -1.77470  -1.86267  -1.92954  -1.97454  -1.99717  -1.99717  -1.97454  -1.92954  -1.86267  -1.77470  -1.66663  -1.53967  -1.39526  -1.23505  -1.06084  -0.87461  -0.67848  -0.47465  -0.26545  -0.05324   0.15957   0.37058   0.57738   0.77765   0.96910   1.14957   1.31702   1.46955   1.60542   1.72311   1.82127   1.89880   1.95481   1.98867   2.00000     ... ... TT... ..TT... ....TT... ......TT... ........TT...
E3  *    2.00000   1.97454   1.89880   1.77470   1.60542   1.39526   1.14957   0.87461   0.57738   0.26545  -0.05324  -0.37058  -0.67848  -0.96910  -1.23505  -1.46955  -1.66663  -1.82127  -1.92954  -1.98867  -1.99717  -1.95481  -1.86267  -1.72311  -1.53967  -1.31702  -1.06084  -0.77765  -0.47465  -0.15957   0.15957   0.47465   0.77765   1.06084   1.31702   1.53967   1.72311   1.86267   1.95481   1.99717   1.98867   1.92954   1.82127   1.66663   1.46955   1.23505   0.96910   0.67848   0.37058   0.05324  -0.26545  -0.57738  -0.87461  -1.14957  -1.39526  -1.60542  -1.77470  -1.89880  -1.97454  -2.00000     ... ... ..... TT..... ..TT..... ....TT..... ......TT.....
E4  *    2.00000   1.95481   1.82127   1.60542   1.31702   0.96910   0.57738   0.15957  -0.26545  -0.67848  -1.06084  -1.39526  -1.66663  -1.86267  -1.97454  -1.99717  -1.92954  -1.77470  -1.53967  -1.23505  -0.87461  -0.47465  -0.05324   0.37058   0.77765   1.14957   1.46955   1.72311   1.89880   1.98867   1.98867   1.89880   1.72311   1.46955   1.14957   0.77765   0.37058  -0.05324  -0.47465  -0.87461  -1.23505  -1.53967  -1.77470  -1.92954  -1.99717  -1.97454  -1.86267  -1.66663  -1.39526  -1.06084  -0.67848  -0.26545   0.15957   0.57738   0.96910   1.31702   1.60542   1.82127   1.95481   2.00000     ... ... ..... ....... TT....... ..TT....... ....TT.......
E5  *    2.00000   1.92954   1.72311   1.39526   0.96910   0.47465  -0.05324  -0.57738  -1.06084  -1.46955  -1.77470  -1.95481  -1.99717  -1.89880  -1.66663  -1.31702  -0.87461  -0.37058   0.15957   0.67848   1.14957   1.53967   1.82127   1.97454   1.98867   1.86267   1.60542   1.23505   0.77765   0.26545  -0.26545  -0.77765  -1.23505  -1.60542  -1.86267  -1.98867  -1.97454  -1.82127  -1.53967  -1.14957  -0.67848  -0.15957   0.37058   0.87461   1.31702   1.66663   1.89880   1.99717   1.95481   1.77470   1.46955   1.06084   0.57738   0.05324  -0.47465  -0.96910  -1.39526  -1.72311  -1.92954  -2.00000     ... ... ..... ....... ......... TT......... ..TT.........
E6  *    2.00000   1.89880   1.60542   1.14957   0.57738  -0.05324  -0.67848  -1.23505  -1.66663  -1.92954  -1.99717  -1.86267  -1.53967  -1.06084  -0.47465   0.15957   0.77765   1.31702   1.72311   1.95481   1.98867   1.82127   1.46955   0.96910   0.37058  -0.26545  -0.87461  -1.39526  -1.77470  -1.97454  -1.97454  -1.77470  -1.39526  -0.87461  -0.26545   0.37058   0.96910   1.46955   1.82127   1.98867   1.95481   1.72311   1.31702   0.77765   0.15957  -0.47465  -1.06084  -1.53967  -1.86267  -1.99717  -1.92954  -1.66663  -1.23505  -0.67848  -0.05324   0.57738   1.14957   1.60542   1.89880   2.00000     ... ... ..... ....... ......... ........... TT...........
E7  *    2.00000   1.86267   1.46955   0.87461   0.15957  -0.57738  -1.23505  -1.72311  -1.97454  -1.95481  -1.66663  -1.14957  -0.47465   0.26545   0.96910   1.53967   1.89880   1.99717   1.82127   1.39526   0.77765   0.05324  -0.67848  -1.31702  -1.77470  -1.98867  -1.92954  -1.60542  -1.06084  -0.37058   0.37058   1.06084   1.60542   1.92954   1.98867   1.77470   1.31702   0.67848  -0.05324  -0.77765  -1.39526  -1.82127  -1.99717  -1.89880  -1.53967  -0.96910  -0.26545   0.47465   1.14957   1.66663   1.95481   1.97454   1.72311   1.23505   0.57738  -0.15957  -0.87461  -1.46955  -1.86267  -2.00000     ... ... ..... ....... ......... ........... .............
E8  *    2.00000   1.82127   1.31702   0.57738  -0.26545  -1.06084  -1.66663  -1.97454  -1.92954  -1.53967  -0.87461  -0.05324   0.77765   1.46955   1.89880   1.98867   1.72311   1.14957   0.37058  -0.47465  -1.23505  -1.77470  -1.99717  -1.86267  -1.39526  -0.67848   0.15957   0.96910   1.60542   1.95481   1.95481   1.60542   0.96910   0.15957  -0.67848  -1.39526  -1.86267  -1.99717  -1.77470  -1.23505  -0.47465   0.37058   1.14957   1.72311   1.98867   1.89880   1.46955   0.77765  -0.05324  -0.87461  -1.53967  -1.92954  -1.97454  -1.66663  -1.06084  -0.26545   0.57738   1.31702   1.82127   2.00000     ... ... ..... ....... ......... ........... .............
E9  *    2.00000   1.77470   1.14957   0.26545  -0.67848  -1.46955  -1.92954  -1.95481  -1.53967  -0.77765   0.15957   1.06084   1.72311   1.99717   1.82127   1.23505   0.37058  -0.57738  -1.39526  -1.89880  -1.97454  -1.60542  -0.87461   0.05324   0.96910   1.66663   1.98867   1.86267   1.31702   0.47465  -0.47465  -1.31702  -1.86267  -1.98867  -1.66663  -0.96910  -0.05324   0.87461   1.60542   1.97454   1.89880   1.39526   0.57738  -0.37058  -1.23505  -1.82127  -1.99717  -1.72311  -1.06084  -0.15957   0.77765   1.53967   1.95481   1.92954   1.46955   0.67848  -0.26545  -1.14957  -1.77470  -2.00000     ... ... ..... ....... ......... ........... .............
E10 *    2.00000   1.72311   0.96910  -0.05324  -1.06084  -1.77470  -1.99717  -1.66663  -0.87461   0.15957   1.14957   1.82127   1.98867   1.60542   0.77765  -0.26545  -1.23505  -1.86267  -1.97454  -1.53967  -0.67848   0.37058   1.31702   1.89880   1.95481   1.46955   0.57738  -0.47465  -1.39526  -1.92954  -1.92954  -1.39526  -0.47465   0.57738   1.46955   1.95481   1.89880   1.31702   0.37058  -0.67848  -1.53967  -1.97454  -1.86267  -1.23505  -0.26545   0.77765   1.60542   1.98867   1.82127   1.14957   0.15957  -0.87461  -1.66663  -1.99717  -1.77470  -1.06084  -0.05324   0.96910   1.72311   2.00000     ... ... ..... ....... ......... ........... .............
E11 *    2.00000   1.66663   0.77765  -0.37058  -1.39526  -1.95481  -1.86267  -1.14957  -0.05324   1.06084   1.82127   1.97454   1.46955   0.47465  -0.67848  -1.60542  -1.99717  -1.72311  -0.87461   0.26545   1.31702   1.92954   1.89880   1.23505   0.15957  -0.96910  -1.77470  -1.98867  -1.53967  -0.57738   0.57738   1.53967   1.98867   1.77470   0.96910  -0.15957  -1.23505  -1.89880  -1.92954  -1.31702  -0.26545   0.87461   1.72311   1.99717   1.60542   0.67848  -0.47465  -1.46955  -1.97454  -1.82127  -1.06084   0.05324   1.14957   1.86267   1.95481   1.39526   0.37058  -0.77765  -1.66663  -2.00000     ... ... ..... ....... ......... ........... .............
E12 *    2.00000   1.60542   0.57738  -0.67848  -1.66663  -1.99717  -1.53967  -0.47465   0.77765   1.72311   1.98867   1.46955   0.37058  -0.87461  -1.77470  -1.97454  -1.39526  -0.26545   0.96910   1.82127   1.95481   1.31702   0.15957  -1.06084  -1.86267  -1.92954  -1.23505  -0.05324   1.14957   1.89880   1.89880   1.14957  -0.05324  -1.23505  -1.92954  -1.86267  -1.06084   0.15957   1.31702   1.95481   1.82127   0.96910  -0.26545  -1.39526  -1.97454  -1.77470  -0.87461   0.37058   1.46955   1.98867   1.72311   0.77765  -0.47465  -1.53967  -1.99717  -1.66663  -0.67848   0.57738   1.60542   2.00000     ... ... ..... ....... ......... ........... .............
E13 *    2.00000   1.53967   0.37058  -0.96910  -1.86267  -1.89880  -1.06084   0.26545   1.46955   1.99717   1.60542   0.47465  -0.87461  -1.82127  -1.92954  -1.14957   0.15957   1.39526   1.98867   1.66663   0.57738  -0.77765  -1.77470  -1.95481  -1.23505   0.05324   1.31702   1.97454   1.72311   0.67848  -0.67848  -1.72311  -1.97454  -1.31702  -0.05324   1.23505   1.95481   1.77470   0.77765  -0.57738  -1.66663  -1.98867  -1.39526  -0.15957   1.14957   1.92954   1.82127   0.87461  -0.47465  -1.60542  -1.99717  -1.46955  -0.26545   1.06084   1.89880   1.86267   0.96910  -0.37058  -1.53967  -2.00000     ... ... ..... ....... ......... ........... .............
E14 *    2.00000   1.46955   0.15957  -1.23505  -1.97454  -1.66663  -0.47465   0.96910   1.89880   1.82127   0.77765  -0.67848  -1.77470  -1.92954  -1.06084   0.37058   1.60542   1.98867   1.31702  -0.05324  -1.39526  -1.99717  -1.53967  -0.26545   1.14957   1.95481   1.72311   0.57738  -0.87461  -1.86267  -1.86267  -0.87461   0.57738   1.72311   1.95481   1.14957  -0.26545  -1.53967  -1.99717  -1.39526  -0.05324   1.31702   1.98867   1.60542   0.37058  -1.06084  -1.92954  -1.77470  -0.67848   0.77765   1.82127   1.89880   0.96910  -0.47465  -1.66663  -1.97454  -1.23505   0.15957   1.46955   2.00000     ... ... ..... ....... ......... ........... .............
E15 *    2.00000   1.39526  -0.05324  -1.46955  -1.99717  -1.31702   0.15957   1.53967   1.98867   1.23505  -0.26545  -1.60542  -1.97454  -1.14957   0.37058   1.66663   1.95481   1.06084  -0.47465  -1.72311  -1.92954  -0.96910   0.57738   1.77470   1.89880   0.87461  -0.67848  -1.82127  -1.86267  -0.77765   0.77765   1.86267   1.82127   0.67848  -0.87461  -1.89880  -1.77470  -0.57738   0.96910   1.92954   1.72311   0.47465  -1.06084  -1.95481  -1.66663  -0.37058   1.14957   1.97454   1.60542   0.26545  -1.23505  -1.98867  -1.53967  -0.15957   1.31702   1.99717   1.46955   0.05324  -1.39526  -2.00000     ... ... ..... ....... ......... ........... .............
E16 *    2.00000   1.31702  -0.26545  -1.66663  -1.92954  -0.87461   0.77765   1.89880   1.72311   0.37058  -1.23505  -1.99717  -1.39526   0.15957   1.60542   1.95481   0.96910  -0.67848  -1.86267  -1.77470  -0.47465   1.14957   1.98867   1.46955  -0.05324  -1.53967  -1.97454  -1.06084   0.57738   1.82127   1.82127   0.57738  -1.06084  -1.97454  -1.53967  -0.05324   1.46955   1.98867   1.14957  -0.47465  -1.77470  -1.86267  -0.67848   0.96910   1.95481   1.60542   0.15957  -1.39526  -1.99717  -1.23505   0.37058   1.72311   1.89880   0.77765  -0.87461  -1.92954  -1.66663  -0.26545   1.31702   2.00000     ... ... ..... ....... ......... ........... .............
E17 *    2.00000   1.23505  -0.47465  -1.82127  -1.77470  -0.37058   1.31702   1.99717   1.14957  -0.57738  -1.86267  -1.72311  -0.26545   1.39526   1.98867   1.06084  -0.67848  -1.89880  -1.66663  -0.15957   1.46955   1.97454   0.96910  -0.77765  -1.92954  -1.60542  -0.05324   1.53967   1.95481   0.87461  -0.87461  -1.95481  -1.53967   0.05324   1.60542   1.92954   0.77765  -0.96910  -1.97454  -1.46955   0.15957   1.66663   1.89880   0.67848  -1.06084  -1.98867  -1.39526   0.26545   1.72311   1.86267   0.57738  -1.14957  -1.99717  -1.31702   0.37058   1.77470   1.82127   0.47465  -1.23505  -2.00000     ... ... ..... ....... ......... ........... .............
E18 *    2.00000   1.14957  -0.67848  -1.92954  -1.53967   0.15957   1.72311   1.82127   0.37058  -1.39526  -1.97454  -0.87461   0.96910   1.98867   1.31702  -0.47465  -1.86267  -1.66663  -0.05324   1.60542   1.89880   0.57738  -1.23505  -1.99717  -1.06084   0.77765   1.95481   1.46955  -0.26545  -1.77470  -1.77470  -0.26545   1.46955   1.95481   0.77765  -1.06084  -1.99717  -1.23505   0.57738   1.89880   1.60542  -0.05324  -1.66663  -1.86267  -0.47465   1.31702   1.98867   0.96910  -0.87461  -1.97454  -1.39526   0.37058   1.82127   1.72311   0.15957  -1.53967  -1.92954  -0.67848   1.14957   2.00000     ... ... ..... ....... ......... ........... .............
E19 *    2.00000   1.06084  -0.87461  -1.98867  -1.23505   0.67848   1.95481   1.39526  -0.47465  -1.89880  -1.53967   0.26545   1.82127   1.66663  -0.05324  -1.72311  -1.77470  -0.15957   1.60542   1.86267   0.37058  -1.46955  -1.92954  -0.57738   1.31702   1.97454   0.77765  -1.14957  -1.99717  -0.96910   0.96910   1.99717   1.14957  -0.77765  -1.97454  -1.31702   0.57738   1.92954   1.46955  -0.37058  -1.86267  -1.60542   0.15957   1.77470   1.72311   0.05324  -1.66663  -1.82127  -0.26545   1.53967   1.89880   0.47465  -1.39526  -1.95481  -0.67848   1.23505   1.98867   0.87461  -1.06084  -2.00000     ... ... ..... ....... ......... ........... .............
E20 *    2.00000   0.96910  -1.06084  -1.99717  -0.87461   1.14957   1.98867   0.77765  -1.23505  -1.97454  -0.67848   1.31702   1.95481   0.57738  -1.39526  -1.92954  -0.47465   1.46955   1.89880   0.37058  -1.53967  -1.86267  -0.26545   1.60542   1.82127   0.15957  -1.66663  -1.77470  -0.05324   1.72311   1.72311  -0.05324  -1.77470  -1.66663   0.15957   1.82127   1.60542  -0.26545  -1.86267  -1.53967   0.37058   1.89880   1.46955  -0.47465  -1.92954  -1.39526   0.57738   1.95481   1.31702  -0.67848  -1.97454  -1.23505   0.77765   1.98867   1.14957  -0.87461  -1.99717  -1.06084   0.96910   2.00000     ... ... ..... ....... ......... ........... .............
E21 *    2.00000   0.87461  -1.23505  -1.95481  -0.47465   1.53967   1.82127   0.05324  -1.77470  -1.60542   0.37058   1.92954   1.31702  -0.77765  -1.99717  -0.96910   1.14957   1.97454   0.57738  -1.46955  -1.86267  -0.15957   1.72311   1.66663  -0.26545  -1.89880  -1.39526   0.67848   1.98867   1.06084  -1.06084  -1.98867  -0.67848   1.39526   1.89880   0.26545  -1.66663  -1.72311   0.15957   1.86267   1.46955  -0.57738  -1.97454  -1.14957   0.96910   1.99717   0.77765  -1.31702  -1.92954  -0.37058   1.60542   1.77470  -0.05324  -1.82127  -1.53967   0.47465   1.95481   1.23505  -0.87461  -2.00000     ... ... ..... ....... ......... ........... .............
E22 *    2.00000   0.77765  -1.39526  -1.86267  -0.05324   1.82127   1.46955  -0.67848  -1.99717  -0.87461   1.31702   1.89880   0.15957  -1.77470  -1.53967   0.57738   1.98867   0.96910  -1.23505  -1.92954  -0.26545   1.72311   1.60542  -0.47465  -1.97454  -1.06084   1.14957   1.95481   0.37058  -1.66663  -1.66663   0.37058   1.95481   1.14957  -1.06084  -1.97454  -0.47465   1.60542   1.72311  -0.26545  -1.92954  -1.23505   0.96910   1.98867   0.57738  -1.53967  -1.77470   0.15957   1.89880   1.31702  -0.87461  -1.99717  -0.67848   1.46955   1.82127  -0.05324  -1.86267  -1.39526   0.77765   2.00000     ... ... ..... ....... ......... ........... .............
E23 *    2.00000   0.67848  -1.53967  -1.72311   0.37058   1.97454   0.96910  -1.31702  -1.86267   0.05324   1.89880   1.23505  -1.06084  -1.95481  -0.26545   1.77470   1.46955  -0.77765  -1.99717  -0.57738   1.60542   1.66663  -0.47465  -1.98867  -0.87461   1.39526   1.82127  -0.15957  -1.92954  -1.14957   1.14957   1.92954   0.15957  -1.82127  -1.39526   0.87461   1.98867   0.47465  -1.66663  -1.60542   0.57738   1.99717   0.77765  -1.46955  -1.77470   0.26545   1.95481   1.06084  -1.23505  -1.89880  -0.05324   1.86267   1.31702  -0.96910  -1.97454  -0.37058   1.72311   1.53967  -0.67848  -2.00000     ... ... ..... ....... ......... ........... .............
E24 *    2.00000   0.57738  -1.66663  -1.53967   0.77765   1.98867   0.37058  -1.77470  -1.39526   0.96910   1.95481   0.15957  -1.86267  -1.23505   1.14957   1.89880  -0.05324  -1.92954  -1.06084   1.31702   1.82127  -0.26545  -1.97454  -0.87461   1.46955   1.72311  -0.47465  -1.99717  -0.67848   1.60542   1.60542  -0.67848  -1.99717  -0.47465   1.72311   1.46955  -0.87461  -1.97454  -0.26545   1.82127   1.31702  -1.06084  -1.92954  -0.05324   1.89880   1.14957  -1.23505  -1.86267   0.15957   1.95481   0.96910  -1.39526  -1.77470   0.37058   1.98867   0.77765  -1.53967  -1.66663   0.57738   2.00000     ... ... ..... ....... ......... ........... .............
E25 *    2.00000   0.47465  -1.77470  -1.31702   1.14957   1.86267  -0.26545  -1.98867  -0.67848   1.66663   1.46955  -0.96910  -1.92954   0.05324   1.95481   0.87461  -1.53967  -1.60542   0.77765   1.97454   0.15957  -1.89880  -1.06084   1.39526   1.72311  -0.57738  -1.99717  -0.37058   1.82127   1.23505  -1.23505  -1.82127   0.37058   1.99717   0.57738  -1.72311  -1.39526   1.06084   1.89880  -0.15957  -1.97454  -0.77765   1.60542   1.53967  -0.87461  -1.95481  -0.05324   1.92954   0.96910  -1.46955  -1.66663   0.67848   1.98867   0.26545  -1.86267  -1.14957   1.31702   1.77470  -0.47465  -2.00000     ... ... ..... ....... ......... ........... .............
E26 *    2.00000   0.37058  -1.86267  -1.06084   1.46955   1.60542  -0.87461  -1.92954   0.15957   1.98867   0.57738  -1.77470  -1.23505   1.31702   1.72311  -0.67848  -1.97454  -0.05324   1.95481   0.77765  -1.66663  -1.39526   1.14957   1.82127  -0.47465  -1.99717  -0.26545   1.89880   0.96910  -1.53967  -1.53967   0.96910   1.89880  -0.26545  -1.99717  -0.47465   1.82127   1.14957  -1.39526  -1.66663   0.77765   1.95481  -0.05324  -1.97454  -0.67848   1.72311   1.31702  -1.23505  -1.77470   0.57738   1.98867   0.15957  -1.92954  -0.87461   1.60542   1.46955  -1.06084  -1.86267   0.37058   2.00000     ... ... ..... ....... ......... ........... .............
E27 *    2.00000   0.26545  -1.92954  -0.77765   1.72311   1.23505  -1.39526  -1.60542   0.96910   1.86267  -0.47465  -1.98867  -0.05324   1.97454   0.57738  -1.82127  -1.06084   1.53967   1.46955  -1.14957  -1.77470   0.67848   1.95481  -0.15957  -1.99717  -0.37058   1.89880   0.87461  -1.66663  -1.31702   1.31702   1.66663  -0.87461  -1.89880   0.37058   1.99717   0.15957  -1.95481  -0.67848   1.77470   1.14957  -1.46955  -1.53967   1.06084   1.82127  -0.57738  -1.97454   0.05324   1.98867   0.47465  -1.86267  -0.96910   1.60542   1.39526  -1.23505  -1.72311   0.77765   1.92954  -0.26545  -2.00000     ... ... ..... ....... ......... ........... .............
E28 *    2.00000   0.15957  -1.97454  -0.47465   1.89880   0.77765  -1.77470  -1.06084   1.60542   1.31702  -1.39526  -1.53967   1.14957   1.72311  -0.87461  -1.86267   0.57738   1.95481  -0.26545  -1.99717  -0.05324   1.98867   0.37058  -1.92954  -0.67848   1.82127   0.96910  -1.66663  -1.23505   1.46955   1.46955  -1.23505  -1.66663   0.96910   1.82127  -0.67848  -1.92954   0.37058   1.98867  -0.05324  -1.99717  -0.26545   1.95481   0.57738  -1.86267  -0.87461   1.72311   1.14957  -1.53967  -1.39526   1.31702   1.60542  -1.06084  -1.77470   0.77765   1.89880  -0.47465  -1.97454   0.15957   2.00000     ... ... ..... ....... ......... ........... .............
E29 *    2.00000   0.05324  -1.99717  -0.15957   1.98867   0.26545  -1.97454  -0.37058   1.95481   0.47465  -1.92954  -0.57738   1.89880   0.67848  -1.86267  -0.77765   1.82127   0.87461  -1.77470  -0.96910   1.72311   1.06084  -1.66663  -1.14957   1.60542   1.23505  -1.53967  -1.31702   1.46955   1.39526  -1.39526  -1.46955   1.31702   1.53967  -1.23505  -1.60542   1.14957   1.66663  -1.06084  -1.72311   0.96910   1.77470  -0.87461  -1.82127   0.77765   1.86267  -0.67848  -1.89880   0.57738   1.92954  -0.47465  -1.95481   0.37058   1.97454  -0.26545  -1.98867   0.15957   1.99717  -0.05324  -2.00000     ... ... ..... ....... ......... ........... .............
E30 *    2.00000  -0.05324  -1.99717   0.15957   1.98867  -0.26545  -1.97454   0.37058   1.95481  -0.47465  -1.92954   0.57738   1.89880  -0.67848  -1.86267   0.77765   1.82127  -0.87461  -1.77470   0.96910   1.72311  -1.06084  -1.66663   1.14957   1.60542  -1.23505  -1.53967   1.31702   1.46955  -1.39526  -1.39526   1.46955   1.31702  -1.53967  -1.23505   1.60542   1.14957  -1.66663  -1.06084   1.72311   0.96910  -1.77470  -0.87461   1.82127   0.77765  -1.86267  -0.67848   1.89880   0.57738  -1.92954  -0.47465   1.95481   0.37058  -1.97454  -0.26545   1.98867   0.15957  -1.99717  -0.05324   2.00000     ... ... ..... ....... ......... ........... .............
E31 *    2.00000  -0.15957  -1.97454   0.47465   1.89880  -0.77765  -1.77470   1.06084   1.60542  -1.31702  -1.39526   1.53967   1.14957  -1.72311  -0.87461   1.86267   0.57738  -1.95481  -0.26545   1.99717  -0.05324  -1.98867   0.37058   1.92954  -0.67848  -1.82127   0.96910   1.66663  -1.23505  -1.46955   1.46955   1.23505  -1.66663  -0.96910   1.82127   0.67848  -1.92954  -0.37058   1.98867   0.05324  -1.99717   0.26545   1.95481  -0.57738  -1.86267   0.87461   1.72311  -1.14957  -1.53967   1.39526   1.31702  -1.60542  -1.06084   1.77470   0.77765  -1.89880  -0.47465   1.97454   0.15957  -2.00000     ... ... ..... ....... ......... ........... .............
E32 *    2.00000  -0.26545  -1.92954   0.77765   1.72311  -1.23505  -1.39526   1.60542   0.96910  -1.86267  -0.47465   1.98867  -0.05324  -1.97454   0.57738   1.82127  -1.06084  -1.53967   1.46955   1.14957  -1.77470  -0.67848   1.95481   0.15957  -1.99717   0.37058   1.89880  -0.87461  -1.66663   1.31702   1.31702  -1.66663  -0.87461   1.89880   0.37058  -1.99717   0.15957   1.95481  -0.67848  -1.77470   1.14957   1.46955  -1.53967  -1.06084   1.82127   0.57738  -1.97454  -0.05324   1.98867  -0.47465  -1.86267   0.96910   1.60542  -1.39526  -1.23505   1.72311   0.77765  -1.92954  -0.26545   2.00000     ... ... ..... ....... ......... ........... .............
E33 *    2.00000  -0.37058  -1.86267   1.06084   1.46955  -1.60542  -0.87461   1.92954   0.15957  -1.98867   0.57738   1.77470  -1.23505  -1.31702   1.72311   0.67848  -1.97454   0.05324   1.95481  -0.77765  -1.66663   1.39526   1.14957  -1.82127  -0.47465   1.99717  -0.26545  -1.89880   0.96910   1.53967  -1.53967  -0.96910   1.89880   0.26545  -1.99717   0.47465   1.82127  -1.14957  -1.39526   1.66663   0.77765  -1.95481  -0.05324   1.97454  -0.67848  -1.72311   1.31702   1.23505  -1.77470  -0.57738   1.98867  -0.15957  -1.92954   0.87461   1.60542  -1.46955  -1.06084   1.86267   0.37058  -2.00000     ... ... ..... ....... ......... ........... .............
E34 *    2.00000  -0.47465  -1.77470   1.31702   1.14957  -1.86267  -0.26545   1.98867  -0.67848  -1.66663   1.46955   0.96910  -1.92954  -0.05324   1.95481  -0.87461  -1.53967   1.60542   0.77765  -1.97454   0.15957   1.89880  -1.06084  -1.39526   1.72311   0.57738  -1.99717   0.37058   1.82127  -1.23505  -1.23505   1.82127   0.37058  -1.99717   0.57738   1.72311  -1.39526  -1.06084   1.89880   0.15957  -1.97454   0.77765   1.60542  -1.53967  -0.87461   1.95481  -0.05324  -1.92954   0.96910   1.46955  -1.66663  -0.67848   1.98867  -0.26545  -1.86267   1.14957   1.31702  -1.77470  -0.47465   2.00000     ... ... ..... ....... ......... ........... .............
E35 *    2.00000  -0.57738  -1.66663   1.53967   0.77765  -1.98867   0.37058   1.77470  -1.39526  -0.96910   1.95481  -0.15957  -1.86267   1.23505   1.14957  -1.89880  -0.05324   1.92954  -1.06084  -1.31702   1.82127   0.26545  -1.97454   0.87461   1.46955  -1.72311  -0.47465   1.99717  -0.67848  -1.60542   1.60542   0.67848  -1.99717   0.47465   1.72311  -1.46955  -0.87461   1.97454  -0.26545  -1.82127   1.31702   1.06084  -1.92954   0.05324   1.89880  -1.14957  -1.23505   1.86267   0.15957  -1.95481   0.96910   1.39526  -1.77470  -0.37058   1.98867  -0.77765  -1.53967   1.66663   0.57738  -2.00000     ... ... ..... ....... ......... ........... .............
E36 *    2.00000  -0.67848  -1.53967   1.72311   0.37058  -1.97454   0.96910   1.31702  -1.86267  -0.05324   1.89880  -1.23505  -1.06084   1.95481  -0.26545  -1.77470   1.46955   0.77765  -1.99717   0.57738   1.60542  -1.66663  -0.47465   1.98867  -0.87461  -1.39526   1.82127   0.15957  -1.92954   1.14957   1.14957  -1.92954   0.15957   1.82127  -1.39526  -0.87461   1.98867  -0.47465  -1.66663   1.60542   0.57738  -1.99717   0.77765   1.46955  -1.77470  -0.26545   1.95481  -1.06084  -1.23505   1.89880  -0.05324  -1.86267   1.31702   0.96910  -1.97454   0.37058   1.72311  -1.53967  -0.67848   2.00000     ... ... ..... ....... ......... ........... .............
E37 *    2.00000  -0.77765  -1.39526   1.86267  -0.05324  -1.82127   1.46955   0.67848  -1.99717   0.87461   1.31702  -1.89880   0.15957   1.77470  -1.53967  -0.57738   1.98867  -0.96910  -1.23505   1.92954  -0.26545  -1.72311   1.60542   0.47465  -1.97454   1.06084   1.14957  -1.95481   0.37058   1.66663  -1.66663  -0.37058   1.95481  -1.14957  -1.06084   1.97454  -0.47465  -1.60542   1.72311   0.26545  -1.92954   1.23505   0.96910  -1.98867   0.57738   1.53967  -1.77470  -0.15957   1.89880  -1.31702  -0.87461   1.99717  -0.67848  -1.46955   1.82127   0.05324  -1.86267   1.39526   0.77765  -2.00000     ... ... ..... ....... ......... ........... .............
E38 *    2.00000  -0.87461  -1.23505   1.95481  -0.47465  -1.53967   1.82127  -0.05324  -1.77470   1.60542   0.37058  -1.92954   1.31702   0.77765  -1.99717   0.96910   1.14957  -1.97454   0.57738   1.46955  -1.86267   0.15957   1.72311  -1.66663  -0.26545   1.89880  -1.39526  -0.67848   1.98867  -1.06084  -1.06084   1.98867  -0.67848  -1.39526   1.89880  -0.26545  -1.66663   1.72311   0.15957  -1.86267   1.46955   0.57738  -1.97454   1.14957   0.96910  -1.99717   0.77765   1.31702  -1.92954   0.37058   1.60542  -1.77470  -0.05324   1.82127  -1.53967  -0.47465   1.95481  -1.23505  -0.87461   2.00000     ... ... ..... ....... ......... ........... .............
E39 *    2.00000  -0.96910  -1.06084   1.99717  -0.87461  -1.14957   1.98867  -0.77765  -1.23505   1.97454  -0.67848  -1.31702   1.95481  -0.57738  -1.39526   1.92954  -0.47465  -1.46955   1.89880  -0.37058  -1.53967   1.86267  -0.26545  -1.60542   1.82127  -0.15957  -1.66663   1.77470  -0.05324  -1.72311   1.72311   0.05324  -1.77470   1.66663   0.15957  -1.82127   1.60542   0.26545  -1.86267   1.53967   0.37058  -1.89880   1.46955   0.47465  -1.92954   1.39526   0.57738  -1.95481   1.31702   0.67848  -1.97454   1.23505   0.77765  -1.98867   1.14957   0.87461  -1.99717   1.06084   0.96910  -2.00000     ... ... ..... ....... ......... ........... .............
E40 *    2.00000  -1.06084  -0.87461   1.98867  -1.23505  -0.67848   1.95481  -1.39526  -0.47465   1.89880  -1.53967  -0.26545   1.82127  -1.66663  -0.05324   1.72311  -1.77470   0.15957   1.60542  -1.86267   0.37058   1.46955  -1.92954   0.57738   1.31702  -1.97454   0.77765   1.14957  -1.99717   0.96910   0.96910  -1.99717   1.14957   0.77765  -1.97454   1.31702   0.57738  -1.92954   1.46955   0.37058  -1.86267   1.60542   0.15957  -1.77470   1.72311  -0.05324  -1.66663   1.82127  -0.26545  -1.53967   1.89880  -0.47465  -1.39526   1.95481  -0.67848  -1.23505   1.98867  -0.87461  -1.06084   2.00000     ... ... ..... ....... ......... ........... .............
E41 *    2.00000  -1.14957  -0.67848   1.92954  -1.53967  -0.15957   1.72311  -1.82127   0.37058   1.39526  -1.97454   0.87461   0.96910  -1.98867   1.31702   0.47465  -1.86267   1.66663  -0.05324  -1.60542   1.89880  -0.57738  -1.23505   1.99717  -1.06084  -0.77765   1.95481  -1.46955  -0.26545   1.77470  -1.77470   0.26545   1.46955  -1.95481   0.77765   1.06084  -1.99717   1.23505   0.57738  -1.89880   1.60542   0.05324  -1.66663   1.86267  -0.47465  -1.31702   1.98867  -0.96910  -0.87461   1.97454  -1.39526  -0.37058   1.82127  -1.72311   0.15957   1.53967  -1.92954   0.67848   1.14957  -2.00000     ... ... ..... ....... ......... ........... .............
E42 *    2.00000  -1.23505  -0.47465   1.82127  -1.77470   0.37058   1.31702  -1.99717   1.14957   0.57738  -1.86267   1.72311  -0.26545  -1.39526   1.98867  -1.06084  -0.67848   1.89880  -1.66663   0.15957   1.46955  -1.97454   0.96910   0.77765  -1.92954   1.60542  -0.05324  -1.53967   1.95481  -0.87461  -0.87461   1.95481  -1.53967  -0.05324   1.60542  -1.92954   0.77765   0.96910  -1.97454   1.46955   0.15957  -1.66663   1.89880  -0.67848  -1.06084   1.98867  -1.39526  -0.26545   1.72311  -1.86267   0.57738   1.14957  -1.99717   1.31702   0.37058  -1.77470   1.82127  -0.47465  -1.23505   2.00000     ... ... ..... ....... ......... ........... .............
E43 *    2.00000  -1.31702  -0.26545   1.66663  -1.92954   0.87461   0.77765  -1.89880   1.72311  -0.37058  -1.23505   1.99717  -1.39526  -0.15957   1.60542  -1.95481   0.96910   0.67848  -1.86267   1.77470  -0.47465  -1.14957   1.98867  -1.46955  -0.05324   1.53967  -1.97454   1.06084   0.57738  -1.82127   1.82127  -0.57738  -1.06084   1.97454  -1.53967   0.05324   1.46955  -1.98867   1.14957   0.47465  -1.77470   1.86267  -0.67848  -0.96910   1.95481  -1.60542   0.15957   1.39526  -1.99717   1.23505   0.37058  -1.72311   1.89880  -0.77765  -0.87461   1.92954  -1.66663   0.26545   1.31702  -2.00000     ... ... ..... ....... ......... ........... .............
E44 *    2.00000  -1.39526  -0.05324   1.46955  -1.99717   1.31702   0.15957  -1.53967   1.98867  -1.23505  -0.26545   1.60542  -1.97454   1.14957   0.37058  -1.66663   1.95481  -1.06084  -0.47465   1.72311  -1.92954   0.96910   0.57738  -1.77470   1.89880  -0.87461  -0.67848   1.82127  -1.86267   0.77765   0.77765  -1.86267   1.82127  -0.67848  -0.87461   1.89880  -1.77470   0.57738   0.96910  -1.92954   1.72311  -0.47465  -1.06084   1.95481  -1.66663   0.37058   1.14957  -1.97454   1.60542  -0.26545  -1.23505   1.98867  -1.53967   0.15957   1.31702  -1.99717   1.46955  -0.05324  -1.39526   2.00000     ... ... ..... ....... ......... ........... .............
E45 *    2.00000  -1.46955   0.15957   1.23505  -1.97454   1.66663  -0.47465  -0.96910   1.89880  -1.82127   0.77765   0.67848  -1.77470   1.92954  -1.06084  -0.37058   1.60542  -1.98867   1.31702   0.05324  -1.39526   1.99717  -1.53967   0.26545   1.14957  -1.95481   1.72311  -0.57738  -0.87461   1.86267  -1.86267   0.87461   0.57738  -1.72311   1.95481  -1.14957  -0.26545   1.53967  -1.99717   1.39526  -0.05324  -1.31702   1.98867  -1.60542   0.37058   1.06084  -1.92954   1.77470  -0.67848  -0.77765   1.82127  -1.89880   0.96910   0.47465  -1.66663   1.97454  -1.23505  -0.15957   1.46955  -2.00000     ... ... ..... ....... ......... ........... .............
E46 *    2.00000  -1.53967   0.37058   0.96910  -1.86267   1.89880  -1.06084  -0.26545   1.46955  -1.99717   1.60542  -0.47465  -0.87461   1.82127  -1.92954   1.14957   0.15957  -1.39526   1.98867  -1.66663   0.57738   0.77765  -1.77470   1.95481  -1.23505  -0.05324   1.31702  -1.97454   1.72311  -0.67848  -0.67848   1.72311  -1.97454   1.31702  -0.05324  -1.23505   1.95481  -1.77470   0.77765   0.57738  -1.66663   1.98867  -1.39526   0.15957   1.14957  -1.92954   1.82127  -0.87461  -0.47465   1.60542  -1.99717   1.46955  -0.26545  -1.06084   1.89880  -1.86267   0.96910   0.37058  -1.53967   2.00000     ... ... ..... ....... ......... ........... .............
E47 *    2.00000  -1.60542   0.57738   0.67848  -1.66663   1.99717  -1.53967   0.47465   0.77765  -1.72311   1.98867  -1.46955   0.37058   0.87461  -1.77470   1.97454  -1.39526   0.26545   0.96910  -1.82127   1.95481  -1.31702   0.15957   1.06084  -1.86267   1.92954  -1.23505   0.05324   1.14957  -1.89880   1.89880  -1.14957  -0.05324   1.23505  -1.92954   1.86267  -1.06084  -0.15957   1.31702  -1.95481   1.82127  -0.96910  -0.26545   1.39526  -1.97454   1.77470  -0.87461  -0.37058   1.46955  -1.98867   1.72311  -0.77765  -0.47465   1.53967  -1.99717   1.66663  -0.67848  -0.57738   1.60542  -2.00000     ... ... ..... ....... ......... ........... .............
E48 *    2.00000  -1.66663   0.77765   0.37058  -1.39526   1.95481  -1.86267   1.14957  -0.05324  -1.06084   1.82127  -1.97454   1.46955  -0.47465  -0.67848   1.60542  -1.99717   1.72311  -0.87461  -0.26545   1.31702  -1.92954   1.89880  -1.23505   0.15957   0.96910  -1.77470   1.98867  -1.53967   0.57738   0.57738  -1.53967   1.98867  -1.77470   0.96910   0.15957  -1.23505   1.89880  -1.92954   1.31702  -0.26545  -0.87461   1.72311  -1.99717   1.60542  -0.67848  -0.47465   1.46955  -1.97454   1.82127  -1.06084  -0.05324   1.14957  -1.86267   1.95481  -1.39526   0.37058   0.77765  -1.66663   2.00000     ... ... ..... ....... ......... ........... .............
E49 *    2.00000  -1.72311   0.96910   0.05324  -1.06084   1.77470  -1.99717   1.66663  -0.87461  -0.15957   1.14957  -1.82127   1.98867  -1.60542   0.77765   0.26545  -1.23505   1.86267  -1.97454   1.53967  -0.67848  -0.37058   1.31702  -1.89880   1.95481  -1.46955   0.57738   0.47465  -1.39526   1.92954  -1.92954   1.39526  -0.47465  -0.57738   1.46955  -1.95481   1.89880  -1.31702   0.37058   0.67848  -1.53967   1.97454  -1.86267   1.23505  -0.26545  -0.77765   1.60542  -1.98867   1.82127  -1.14957   0.15957   0.87461  -1.66663   1.99717  -1.77470   1.06084  -0.05324  -0.96910   1.72311  -2.00000     ... ... ..... ....... ......... ........... .............
E50 *    2.00000  -1.77470   1.14957  -0.26545  -0.67848   1.46955  -1.92954   1.95481  -1.53967   0.77765   0.15957  -1.06084   1.72311  -1.99717   1.82127  -1.23505   0.37058   0.57738  -1.39526   1.89880  -1.97454   1.60542  -0.87461  -0.05324   0.96910  -1.66663   1.98867  -1.86267   1.31702  -0.47465  -0.47465   1.31702  -1.86267   1.98867  -1.66663   0.96910  -0.05324  -0.87461   1.60542  -1.97454   1.89880  -1.39526   0.57738   0.37058  -1.23505   1.82127  -1.99717   1.72311  -1.06084   0.15957   0.77765  -1.53967   1.95481  -1.92954   1.46955  -0.67848  -0.26545   1.14957  -1.77470   2.00000     ... ... ..... ....... ......... ........... .............
E51 *    2.00000  -1.82127   1.31702  -0.57738  -0.26545   1.06084  -1.66663   1.97454  -1.92954   1.53967  -0.87461   0.05324   0.77765  -1.46955   1.89880  -1.98867   1.72311  -1.14957   0.37058   0.47465  -1.23505   1.77470  -1.99717   1.86267  -1.39526   0.67848   0.15957  -0.96910   1.60542  -1.95481   1.95481  -1.60542   0.96910  -0.15957  -0.67848   1.39526  -1.86267   1.99717  -1.77470   1.23505  -0.47465  -0.37058   1.14957  -1.72311   1.98867  -1.89880   1.46955  -0.77765  -0.05324   0.87461  -1.53967   1.92954  -1.97454   1.66663  -1.06084   0.26545   0.57738  -1.31702   1.82127  -2.00000     ... ... ..... ....... ......... ........... .............
E52 *    2.00000  -1.86267   1.46955  -0.87461   0.15957   0.57738  -1.23505   1.72311  -1.97454   1.95481  -1.66663   1.14957  -0.47465  -0.26545   0.96910  -1.53967   1.89880  -1.99717   1.82127  -1.39526   0.77765  -0.05324  -0.67848   1.31702  -1.77470   1.98867  -1.92954   1.60542  -1.06084   0.37058   0.37058  -1.06084   1.60542  -1.92954   1.98867  -1.77470   1.31702  -0.67848  -0.05324   0.77765  -1.39526   1.82127  -1.99717   1.89880  -1.53967   0.96910  -0.26545  -0.47465   1.14957  -1.66663   1.95481  -1.97454   1.72311  -1.23505   0.57738   0.15957  -0.87461   1.46955  -1.86267   2.00000     ... ... ..... ....... ......... ........... .............
E53 *    2.00000  -1.89880   1.60542  -1.14957   0.57738   0.05324  -0.67848   1.23505  -1.66663   1.92954  -1.99717   1.86267  -1.53967   1.06084  -0.47465  -0.15957   0.77765  -1.31702   1.72311  -1.95481   1.98867  -1.82127   1.46955  -0.96910   0.37058   0.26545  -0.87461   1.39526  -1.77470   1.97454  -1.97454   1.77470  -1.39526   0.87461  -0.26545  -0.37058   0.96910  -1.46955   1.82127  -1.98867   1.95481  -1.72311   1.31702  -0.77765   0.15957   0.47465  -1.06084   1.53967  -1.86267   1.99717  -1.92954   1.66663  -1.23505   0.67848  -0.05324  -0.57738   1.14957  -1.60542   1.89880  -2.00000     ... ... ..... ....... ......... ........... .............
E54 *    2.00000  -1.92954   1.72311  -1.39526   0.96910  -0.47465  -0.05324   0.57738  -1.06084   1.46955  -1.77470   1.95481  -1.99717   1.89880  -1.66663   1.31702  -0.87461   0.37058   0.15957  -0.67848   1.14957  -1.53967   1.82127  -1.97454   1.98867  -1.86267   1.60542  -1.23505   0.77765  -0.26545  -0.26545   0.77765  -1.23505   1.60542  -1.86267   1.98867  -1.97454   1.82127  -1.53967   1.14957  -0.67848   0.15957   0.37058  -0.87461   1.31702  -1.66663   1.89880  -1.99717   1.95481  -1.77470   1.46955  -1.06084   0.57738  -0.05324  -0.47465   0.96910  -1.39526   1.72311  -1.92954   2.00000     ... ... ..... ....... ......... ........... .............
E55 *    2.00000  -1.95481   1.82127  -1.60542   1.31702  -0.96910   0.57738  -0.15957  -0.26545   0.67848  -1.06084   1.39526  -1.66663   1.86267  -1.97454   1.99717  -1.92954   1.77470  -1.53967   1.23505  -0.87461   0.47465  -0.05324  -0.37058   0.77765  -1.14957   1.46955  -1.72311   1.89880  -1.98867   1.98867  -1.89880   1.72311  -1.46955   1.14957  -0.77765   0.37058   0.05324  -0.47465   0.87461  -1.23505   1.53967  -1.77470   1.92954  -1.99717   1.97454  -1.86267   1.66663  -1.39526   1.06084  -0.67848   0.26545   0.15957  -0.57738   0.96910  -1.31702   1.60542  -1.82127   1.95481  -2.00000     ... ... ..... ....... ......... ........... .............
E56 *    2.00000  -1.97454   1.89880  -1.77470   1.60542  -1.39526   1.14957  -0.87461   0.57738  -0.26545  -0.05324   0.37058  -0.67848   0.96910  -1.23505   1.46955  -1.66663   1.82127  -1.92954   1.98867  -1.99717   1.95481  -1.86267   1.72311  -1.53967   1.31702  -1.06084   0.77765  -0.47465   0.15957   0.15957  -0.47465   0.77765  -1.06084   1.31702  -1.53967   1.72311  -1.86267   1.95481  -1.99717   1.98867  -1.92954   1.82127  -1.66663   1.46955  -1.23505   0.96910  -0.67848   0.37058  -0.05324  -0.26545   0.57738  -0.87461   1.14957  -1.39526   1.60542  -1.77470   1.89880  -1.97454   2.00000     ... ... ..... ....... ......... ........... .............
E57 *    2.00000  -1.98867   1.95481  -1.89880   1.82127  -1.72311   1.60542  -1.46955   1.31702  -1.14957   0.96910  -0.77765   0.57738  -0.37058   0.15957   0.05324  -0.26545   0.47465  -0.67848   0.87461  -1.06084   1.23505  -1.39526   1.53967  -1.66663   1.77470  -1.86267   1.92954  -1.97454   1.99717  -1.99717   1.97454  -1.92954   1.86267  -1.77470   1.66663  -1.53967   1.39526  -1.23505   1.06084  -0.87461   0.67848  -0.47465   0.26545  -0.05324  -0.15957   0.37058  -0.57738   0.77765  -0.96910   1.14957  -1.31702   1.46955  -1.60542   1.72311  -1.82127   1.89880  -1.95481   1.98867  -2.00000     ... ... ..... ....... ......... ........... .............
E58 *    2.00000  -1.99717   1.98867  -1.97454   1.95481  -1.92954   1.89880  -1.86267   1.82127  -1.77470   1.72311  -1.66663   1.60542  -1.53967   1.46955  -1.39526   1.31702  -1.23505   1.14957  -1.06084   0.96910  -0.87461   0.77765  -0.67848   0.57738  -0.47465   0.37058  -0.26545   0.15957  -0.05324  -0.05324   0.15957  -0.26545   0.37058  -0.47465   0.57738  -0.67848   0.77765  -0.87461   0.96910  -1.06084   1.14957  -1.23505   1.31702  -1.39526   1.46955  -1.53967   1.60542  -1.66663   1.72311  -1.77470   1.82127  -1.86267   1.89880  -1.92954   1.95481  -1.97454   1.98867  -1.99717   2.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.997165391354 = 2*cos(2*π/118) = 2*cos(π/59)
                               1.988669600420 = 2*cos(4*π/118) = 2*cos(2*π/59)
                               1.974536709443 = 2*cos(6*π/118) = 2*cos(3*π/59)
                               1.954806779636 = 2*cos(8*π/118) = 2*cos(4*π/59)
                               1.929535737629 = 2*cos(10*π/118) = 2*cos(5*π/59)
                               1.898795216937 = 2*cos(12*π/118) = 2*cos(6*π/59)
                               1.862672354905 = 2*cos(14*π/118) = 2*cos(7*π/59)
                               1.821269545710 = 2*cos(16*π/118) = 2*cos(8*π/59)
                               1.774704150113 = 2*cos(18*π/118) = 2*cos(9*π/59)
                               1.723108162788 = 2*cos(20*π/118) = 2*cos(10*π/59)
                               1.666627838165 = 2*cos(22*π/118) = 2*cos(11*π/59)
                               1.605423275862 = 2*cos(24*π/118) = 2*cos(12*π/59)
                               1.539667966860 = 2*cos(26*π/118) = 2*cos(13*π/59)
                               1.469548301726 = 2*cos(28*π/118) = 2*cos(14*π/59)
                               1.395263042270 = 2*cos(30*π/118) = 2*cos(15*π/59)
                               1.317022758130 = 2*cos(32*π/118) = 2*cos(16*π/59)
                               1.235049229892 = 2*cos(34*π/118) = 2*cos(17*π/59)
                               1.149574820429 = 2*cos(36*π/118) = 2*cos(18*π/59)
                               1.060841816239 = 2*cos(38*π/118) = 2*cos(19*π/59)
                               0.969101740665 = 2*cos(40*π/118) = 2*cos(20*π/59)
                               0.874614640918 = 2*cos(42*π/118) = 2*cos(21*π/59)
                               0.777648350947 = 2*cos(44*π/118) = 2*cos(22*π/59)
                               0.678477732236 = 2*cos(46*π/118) = 2*cos(23*π/59)
                               0.577383894679 = 2*cos(48*π/118) = 2*cos(24*π/59)
                               0.474653399742 = 2*cos(50*π/118) = 2*cos(25*π/59)
                               0.370577448174 = 2*cos(52*π/118) = 2*cos(26*π/59)
                               0.265451054567 = 2*cos(54*π/118) = 2*cos(27*π/59)
                               0.159572211106 = 2*cos(56*π/118) = 2*cos(28*π/59)
                               0.053241042876 = 2*cos(58*π/118) = 2*cos(29*π/59)



 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 C118 point group is 118, and the order of the principal axis (C118) is 118. The group has 60 irreducible representations.

    β  The C118 point group is isomorphic to S118 and C59h.

    γ  The C118 point group is generated by one single symmetry element, C118. Therefore, it is a cyclic group.

    δ  The lowest nonvanishing multipole moment in C118 is 2 (dipole moment).

    ε  This is an Abelian point group (the commutative law holds between all symmetry operations).
       The C118 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 116 cases have been combined into 58 two-dimensional representations that are no longer irreducible but have real-valued characters.
       Accordingly, 58 pairs of left and right rotations have been combined into one two-membered pseudo-class each.

    η  The 58 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.
       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 C118 point group was created by Gernot Katzer.

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