Character table for the C122 point group

C122    E         2 C122    2 C61     2 C122^3  2 C61^2   2 C122^5  2 C61^3   2 C122^7  2 C61^4   2 C122^9  2 C61^5   2 C122^11 2 C61^6   2 C122^13 2 C61^7   2 C122^15 2 C61^8   2 C122^17 2 C61^9   2 C122^19 2 C61^10  2 C122^21 2 C61^11  2 C122^23 2 C61^12  2 C122^25 2 C61^13  2 C122^27 2 C61^14  2 C122^29 2 C61^15  2 C122^31 2 C61^16  2 C122^33 2 C61^17  2 C122^35 2 C61^18  2 C122^37 2 C61^19  2 C122^39 2 C61^20  2 C122^41 2 C61^21  2 C122^43 2 C61^22  2 C122^45 2 C61^23  2 C122^47 2 C61^24  2 C122^49 2 C61^25  2 C122^51 2 C61^26  2 C122^53 2 C61^27  2 C122^55 2 C61^28  2 C122^57 2 C61^29  2 C122^59 2 C61^30  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     ..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     ... ... ..... ....... ......... ........... .............
E1  *    2.00000   1.99735   1.98940   1.97618   1.95771   1.93406   1.90527   1.87143   1.83263   1.78897   1.74057   1.68755   1.63006   1.56824   1.50226   1.43230   1.35855   1.28119   1.20043   1.11649   1.02959   0.93995   0.84783   0.75346   0.65708   0.55897   0.45938   0.35856   0.25680   0.15435   0.05150  -0.05150  -0.15435  -0.25680  -0.35856  -0.45938  -0.55897  -0.65708  -0.75346  -0.84783  -0.93995  -1.02959  -1.11649  -1.20043  -1.28119  -1.35855  -1.43230  -1.50226  -1.56824  -1.63006  -1.68755  -1.74057  -1.78897  -1.83263  -1.87143  -1.90527  -1.93406  -1.95771  -1.97618  -1.98940  -1.99735  -2.00000     TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT.
E2  *    2.00000   1.98940   1.95771   1.90527   1.83263   1.74057   1.63006   1.50226   1.35855   1.20043   1.02959   0.84783   0.65708   0.45938   0.25680   0.05150  -0.15435  -0.35856  -0.55897  -0.75346  -0.93995  -1.11649  -1.28119  -1.43230  -1.56824  -1.68755  -1.78897  -1.87143  -1.93406  -1.97618  -1.99735  -1.99735  -1.97618  -1.93406  -1.87143  -1.78897  -1.68755  -1.56824  -1.43230  -1.28119  -1.11649  -0.93995  -0.75346  -0.55897  -0.35856  -0.15435   0.05150   0.25680   0.45938   0.65708   0.84783   1.02959   1.20043   1.35855   1.50226   1.63006   1.74057   1.83263   1.90527   1.95771   1.98940   2.00000     ... ... TT... ..TT... ....TT... ......TT... ........TT...
E3  *    2.00000   1.97618   1.90527   1.78897   1.63006   1.43230   1.20043   0.93995   0.65708   0.35856   0.05150  -0.25680  -0.55897  -0.84783  -1.11649  -1.35855  -1.56824  -1.74057  -1.87143  -1.95771  -1.99735  -1.98940  -1.93406  -1.83263  -1.68755  -1.50226  -1.28119  -1.02959  -0.75346  -0.45938  -0.15435   0.15435   0.45938   0.75346   1.02959   1.28119   1.50226   1.68755   1.83263   1.93406   1.98940   1.99735   1.95771   1.87143   1.74057   1.56824   1.35855   1.11649   0.84783   0.55897   0.25680  -0.05150  -0.35856  -0.65708  -0.93995  -1.20043  -1.43230  -1.63006  -1.78897  -1.90527  -1.97618  -2.00000     ... ... ..... TT..... ..TT..... ....TT..... ......TT.....
E4  *    2.00000   1.95771   1.83263   1.63006   1.35855   1.02959   0.65708   0.25680  -0.15435  -0.55897  -0.93995  -1.28119  -1.56824  -1.78897  -1.93406  -1.99735  -1.97618  -1.87143  -1.68755  -1.43230  -1.11649  -0.75346  -0.35856   0.05150   0.45938   0.84783   1.20043   1.50226   1.74057   1.90527   1.98940   1.98940   1.90527   1.74057   1.50226   1.20043   0.84783   0.45938   0.05150  -0.35856  -0.75346  -1.11649  -1.43230  -1.68755  -1.87143  -1.97618  -1.99735  -1.93406  -1.78897  -1.56824  -1.28119  -0.93995  -0.55897  -0.15435   0.25680   0.65708   1.02959   1.35855   1.63006   1.83263   1.95771   2.00000     ... ... ..... ....... TT....... ..TT....... ....TT.......
E5  *    2.00000   1.93406   1.74057   1.43230   1.02959   0.55897   0.05150  -0.45938  -0.93995  -1.35855  -1.68755  -1.90527  -1.99735  -1.95771  -1.78897  -1.50226  -1.11649  -0.65708  -0.15435   0.35856   0.84783   1.28119   1.63006   1.87143   1.98940   1.97618   1.83263   1.56824   1.20043   0.75346   0.25680  -0.25680  -0.75346  -1.20043  -1.56824  -1.83263  -1.97618  -1.98940  -1.87143  -1.63006  -1.28119  -0.84783  -0.35856   0.15435   0.65708   1.11649   1.50226   1.78897   1.95771   1.99735   1.90527   1.68755   1.35855   0.93995   0.45938  -0.05150  -0.55897  -1.02959  -1.43230  -1.74057  -1.93406  -2.00000     ... ... ..... ....... ......... TT......... ..TT.........
E6  *    2.00000   1.90527   1.63006   1.20043   0.65708   0.05150  -0.55897  -1.11649  -1.56824  -1.87143  -1.99735  -1.93406  -1.68755  -1.28119  -0.75346  -0.15435   0.45938   1.02959   1.50226   1.83263   1.98940   1.95771   1.74057   1.35855   0.84783   0.25680  -0.35856  -0.93995  -1.43230  -1.78897  -1.97618  -1.97618  -1.78897  -1.43230  -0.93995  -0.35856   0.25680   0.84783   1.35855   1.74057   1.95771   1.98940   1.83263   1.50226   1.02959   0.45938  -0.15435  -0.75346  -1.28119  -1.68755  -1.93406  -1.99735  -1.87143  -1.56824  -1.11649  -0.55897   0.05150   0.65708   1.20043   1.63006   1.90527   2.00000     ... ... ..... ....... ......... ........... TT...........
E7  *    2.00000   1.87143   1.50226   0.93995   0.25680  -0.45938  -1.11649  -1.63006  -1.93406  -1.98940  -1.78897  -1.35855  -0.75346  -0.05150   0.65708   1.28119   1.74057   1.97618   1.95771   1.68755   1.20043   0.55897  -0.15435  -0.84783  -1.43230  -1.83263  -1.99735  -1.90527  -1.56824  -1.02959  -0.35856   0.35856   1.02959   1.56824   1.90527   1.99735   1.83263   1.43230   0.84783   0.15435  -0.55897  -1.20043  -1.68755  -1.95771  -1.97618  -1.74057  -1.28119  -0.65708   0.05150   0.75346   1.35855   1.78897   1.98940   1.93406   1.63006   1.11649   0.45938  -0.25680  -0.93995  -1.50226  -1.87143  -2.00000     ... ... ..... ....... ......... ........... .............
E8  *    2.00000   1.83263   1.35855   0.65708  -0.15435  -0.93995  -1.56824  -1.93406  -1.97618  -1.68755  -1.11649  -0.35856   0.45938   1.20043   1.74057   1.98940   1.90527   1.50226   0.84783   0.05150  -0.75346  -1.43230  -1.87143  -1.99735  -1.78897  -1.28119  -0.55897   0.25680   1.02959   1.63006   1.95771   1.95771   1.63006   1.02959   0.25680  -0.55897  -1.28119  -1.78897  -1.99735  -1.87143  -1.43230  -0.75346   0.05150   0.84783   1.50226   1.90527   1.98940   1.74057   1.20043   0.45938  -0.35856  -1.11649  -1.68755  -1.97618  -1.93406  -1.56824  -0.93995  -0.15435   0.65708   1.35855   1.83263   2.00000     ... ... ..... ....... ......... ........... .............
E9  *    2.00000   1.78897   1.20043   0.35856  -0.55897  -1.35855  -1.87143  -1.98940  -1.68755  -1.02959  -0.15435   0.75346   1.50226   1.93406   1.95771   1.56824   0.84783  -0.05150  -0.93995  -1.63006  -1.97618  -1.90527  -1.43230  -0.65708   0.25680   1.11649   1.74057   1.99735   1.83263   1.28119   0.45938  -0.45938  -1.28119  -1.83263  -1.99735  -1.74057  -1.11649  -0.25680   0.65708   1.43230   1.90527   1.97618   1.63006   0.93995   0.05150  -0.84783  -1.56824  -1.95771  -1.93406  -1.50226  -0.75346   0.15435   1.02959   1.68755   1.98940   1.87143   1.35855   0.55897  -0.35856  -1.20043  -1.78897  -2.00000     ... ... ..... ....... ......... ........... .............
E10 *    2.00000   1.74057   1.02959   0.05150  -0.93995  -1.68755  -1.99735  -1.78897  -1.11649  -0.15435   0.84783   1.63006   1.98940   1.83263   1.20043   0.25680  -0.75346  -1.56824  -1.97618  -1.87143  -1.28119  -0.35856   0.65708   1.50226   1.95771   1.90527   1.35855   0.45938  -0.55897  -1.43230  -1.93406  -1.93406  -1.43230  -0.55897   0.45938   1.35855   1.90527   1.95771   1.50226   0.65708  -0.35856  -1.28119  -1.87143  -1.97618  -1.56824  -0.75346   0.25680   1.20043   1.83263   1.98940   1.63006   0.84783  -0.15435  -1.11649  -1.78897  -1.99735  -1.68755  -0.93995   0.05150   1.02959   1.74057   2.00000     ... ... ..... ....... ......... ........... .............
E11 *    2.00000   1.68755   0.84783  -0.25680  -1.28119  -1.90527  -1.93406  -1.35855  -0.35856   0.75346   1.63006   1.99735   1.74057   0.93995  -0.15435  -1.20043  -1.87143  -1.95771  -1.43230  -0.45938   0.65708   1.56824   1.98940   1.78897   1.02959  -0.05150  -1.11649  -1.83263  -1.97618  -1.50226  -0.55897   0.55897   1.50226   1.97618   1.83263   1.11649   0.05150  -1.02959  -1.78897  -1.98940  -1.56824  -0.65708   0.45938   1.43230   1.95771   1.87143   1.20043   0.15435  -0.93995  -1.74057  -1.99735  -1.63006  -0.75346   0.35856   1.35855   1.93406   1.90527   1.28119   0.25680  -0.84783  -1.68755  -2.00000     ... ... ..... ....... ......... ........... .............
E12 *    2.00000   1.63006   0.65708  -0.55897  -1.56824  -1.99735  -1.68755  -0.75346   0.45938   1.50226   1.98940   1.74057   0.84783  -0.35856  -1.43230  -1.97618  -1.78897  -0.93995   0.25680   1.35855   1.95771   1.83263   1.02959  -0.15435  -1.28119  -1.93406  -1.87143  -1.11649   0.05150   1.20043   1.90527   1.90527   1.20043   0.05150  -1.11649  -1.87143  -1.93406  -1.28119  -0.15435   1.02959   1.83263   1.95771   1.35855   0.25680  -0.93995  -1.78897  -1.97618  -1.43230  -0.35856   0.84783   1.74057   1.98940   1.50226   0.45938  -0.75346  -1.68755  -1.99735  -1.56824  -0.55897   0.65708   1.63006   2.00000     ... ... ..... ....... ......... ........... .............
E13 *    2.00000   1.56824   0.45938  -0.84783  -1.78897  -1.95771  -1.28119  -0.05150   1.20043   1.93406   1.83263   0.93995  -0.35856  -1.50226  -1.99735  -1.63006  -0.55897   0.75346   1.74057   1.97618   1.35855   0.15435  -1.11649  -1.90527  -1.87143  -1.02959   0.25680   1.43230   1.98940   1.68755   0.65708  -0.65708  -1.68755  -1.98940  -1.43230  -0.25680   1.02959   1.87143   1.90527   1.11649  -0.15435  -1.35855  -1.97618  -1.74057  -0.75346   0.55897   1.63006   1.99735   1.50226   0.35856  -0.93995  -1.83263  -1.93406  -1.20043   0.05150   1.28119   1.95771   1.78897   0.84783  -0.45938  -1.56824  -2.00000     ... ... ..... ....... ......... ........... .............
E14 *    2.00000   1.50226   0.25680  -1.11649  -1.93406  -1.78897  -0.75346   0.65708   1.74057   1.95771   1.20043  -0.15435  -1.43230  -1.99735  -1.56824  -0.35856   1.02959   1.90527   1.83263   0.84783  -0.55897  -1.68755  -1.97618  -1.28119   0.05150   1.35855   1.98940   1.63006   0.45938  -0.93995  -1.87143  -1.87143  -0.93995   0.45938   1.63006   1.98940   1.35855   0.05150  -1.28119  -1.97618  -1.68755  -0.55897   0.84783   1.83263   1.90527   1.02959  -0.35856  -1.56824  -1.99735  -1.43230  -0.15435   1.20043   1.95771   1.74057   0.65708  -0.75346  -1.78897  -1.93406  -1.11649   0.25680   1.50226   2.00000     ... ... ..... ....... ......... ........... .............
E15 *    2.00000   1.43230   0.05150  -1.35855  -1.99735  -1.50226  -0.15435   1.28119   1.98940   1.56824   0.25680  -1.20043  -1.97618  -1.63006  -0.35856   1.11649   1.95771   1.68755   0.45938  -1.02959  -1.93406  -1.74057  -0.55897   0.93995   1.90527   1.78897   0.65708  -0.84783  -1.87143  -1.83263  -0.75346   0.75346   1.83263   1.87143   0.84783  -0.65708  -1.78897  -1.90527  -0.93995   0.55897   1.74057   1.93406   1.02959  -0.45938  -1.68755  -1.95771  -1.11649   0.35856   1.63006   1.97618   1.20043  -0.25680  -1.56824  -1.98940  -1.28119   0.15435   1.50226   1.99735   1.35855  -0.05150  -1.43230  -2.00000     ... ... ..... ....... ......... ........... .............
E16 *    2.00000   1.35855  -0.15435  -1.56824  -1.97618  -1.11649   0.45938   1.74057   1.90527   0.84783  -0.75346  -1.87143  -1.78897  -0.55897   1.02959   1.95771   1.63006   0.25680  -1.28119  -1.99735  -1.43230   0.05150   1.50226   1.98940   1.20043  -0.35856  -1.68755  -1.93406  -0.93995   0.65708   1.83263   1.83263   0.65708  -0.93995  -1.93406  -1.68755  -0.35856   1.20043   1.98940   1.50226   0.05150  -1.43230  -1.99735  -1.28119   0.25680   1.63006   1.95771   1.02959  -0.55897  -1.78897  -1.87143  -0.75346   0.84783   1.90527   1.74057   0.45938  -1.11649  -1.97618  -1.56824  -0.15435   1.35855   2.00000     ... ... ..... ....... ......... ........... .............
E17 *    2.00000   1.28119  -0.35856  -1.74057  -1.87143  -0.65708   1.02959   1.97618   1.50226  -0.05150  -1.56824  -1.95771  -0.93995   0.75346   1.90527   1.68755   0.25680  -1.35855  -1.99735  -1.20043   0.45938   1.78897   1.83263   0.55897  -1.11649  -1.98940  -1.43230   0.15435   1.63006   1.93406   0.84783  -0.84783  -1.93406  -1.63006  -0.15435   1.43230   1.98940   1.11649  -0.55897  -1.83263  -1.78897  -0.45938   1.20043   1.99735   1.35855  -0.25680  -1.68755  -1.90527  -0.75346   0.93995   1.95771   1.56824   0.05150  -1.50226  -1.97618  -1.02959   0.65708   1.87143   1.74057   0.35856  -1.28119  -2.00000     ... ... ..... ....... ......... ........... .............
E18 *    2.00000   1.20043  -0.55897  -1.87143  -1.68755  -0.15435   1.50226   1.95771   0.84783  -0.93995  -1.97618  -1.43230   0.25680   1.74057   1.83263   0.45938  -1.28119  -1.99735  -1.11649   0.65708   1.90527   1.63006   0.05150  -1.56824  -1.93406  -0.75346   1.02959   1.98940   1.35855  -0.35856  -1.78897  -1.78897  -0.35856   1.35855   1.98940   1.02959  -0.75346  -1.93406  -1.56824   0.05150   1.63006   1.90527   0.65708  -1.11649  -1.99735  -1.28119   0.45938   1.83263   1.74057   0.25680  -1.43230  -1.97618  -0.93995   0.84783   1.95771   1.50226  -0.15435  -1.68755  -1.87143  -0.55897   1.20043   2.00000     ... ... ..... ....... ......... ........... .............
E19 *    2.00000   1.11649  -0.75346  -1.95771  -1.43230   0.35856   1.83263   1.68755   0.05150  -1.63006  -1.87143  -0.45938   1.35855   1.97618   0.84783  -1.02959  -1.99735  -1.20043   0.65708   1.93406   1.50226  -0.25680  -1.78897  -1.74057  -0.15435   1.56824   1.90527   0.55897  -1.28119  -1.98940  -0.93995   0.93995   1.98940   1.28119  -0.55897  -1.90527  -1.56824   0.15435   1.74057   1.78897   0.25680  -1.50226  -1.93406  -0.65708   1.20043   1.99735   1.02959  -0.84783  -1.97618  -1.35855   0.45938   1.87143   1.63006  -0.05150  -1.68755  -1.83263  -0.35856   1.43230   1.95771   0.75346  -1.11649  -2.00000     ... ... ..... ....... ......... ........... .............
E20 *    2.00000   1.02959  -0.93995  -1.99735  -1.11649   0.84783   1.98940   1.20043  -0.75346  -1.97618  -1.28119   0.65708   1.95771   1.35855  -0.55897  -1.93406  -1.43230   0.45938   1.90527   1.50226  -0.35856  -1.87143  -1.56824   0.25680   1.83263   1.63006  -0.15435  -1.78897  -1.68755   0.05150   1.74057   1.74057   0.05150  -1.68755  -1.78897  -0.15435   1.63006   1.83263   0.25680  -1.56824  -1.87143  -0.35856   1.50226   1.90527   0.45938  -1.43230  -1.93406  -0.55897   1.35855   1.95771   0.65708  -1.28119  -1.97618  -0.75346   1.20043   1.98940   0.84783  -1.11649  -1.99735  -0.93995   1.02959   2.00000     ... ... ..... ....... ......... ........... .............
E21 *    2.00000   0.93995  -1.11649  -1.98940  -0.75346   1.28119   1.95771   0.55897  -1.43230  -1.90527  -0.35856   1.56824   1.83263   0.15435  -1.68755  -1.74057   0.05150   1.78897   1.63006  -0.25680  -1.87143  -1.50226   0.45938   1.93406   1.35855  -0.65708  -1.97618  -1.20043   0.84783   1.99735   1.02959  -1.02959  -1.99735  -0.84783   1.20043   1.97618   0.65708  -1.35855  -1.93406  -0.45938   1.50226   1.87143   0.25680  -1.63006  -1.78897  -0.05150   1.74057   1.68755  -0.15435  -1.83263  -1.56824   0.35856   1.90527   1.43230  -0.55897  -1.95771  -1.28119   0.75346   1.98940   1.11649  -0.93995  -2.00000     ... ... ..... ....... ......... ........... .............
E22 *    2.00000   0.84783  -1.28119  -1.93406  -0.35856   1.63006   1.74057  -0.15435  -1.87143  -1.43230   0.65708   1.98940   1.02959  -1.11649  -1.97618  -0.55897   1.50226   1.83263   0.05150  -1.78897  -1.56824   0.45938   1.95771   1.20043  -0.93995  -1.99735  -0.75346   1.35855   1.90527   0.25680  -1.68755  -1.68755   0.25680   1.90527   1.35855  -0.75346  -1.99735  -0.93995   1.20043   1.95771   0.45938  -1.56824  -1.78897   0.05150   1.83263   1.50226  -0.55897  -1.97618  -1.11649   1.02959   1.98940   0.65708  -1.43230  -1.87143  -0.15435   1.74057   1.63006  -0.35856  -1.93406  -1.28119   0.84783   2.00000     ... ... ..... ....... ......... ........... .............
E23 *    2.00000   0.75346  -1.43230  -1.83263   0.05150   1.87143   1.35855  -0.84783  -1.99735  -0.65708   1.50226   1.78897  -0.15435  -1.90527  -1.28119   0.93995   1.98940   0.55897  -1.56824  -1.74057   0.25680   1.93406   1.20043  -1.02959  -1.97618  -0.45938   1.63006   1.68755  -0.35856  -1.95771  -1.11649   1.11649   1.95771   0.35856  -1.68755  -1.63006   0.45938   1.97618   1.02959  -1.20043  -1.93406  -0.25680   1.74057   1.56824  -0.55897  -1.98940  -0.93995   1.28119   1.90527   0.15435  -1.78897  -1.50226   0.65708   1.99735   0.84783  -1.35855  -1.87143  -0.05150   1.83263   1.43230  -0.75346  -2.00000     ... ... ..... ....... ......... ........... .............
E24 *    2.00000   0.65708  -1.56824  -1.68755   0.45938   1.98940   0.84783  -1.43230  -1.78897   0.25680   1.95771   1.02959  -1.28119  -1.87143   0.05150   1.90527   1.20043  -1.11649  -1.93406  -0.15435   1.83263   1.35855  -0.93995  -1.97618  -0.35856   1.74057   1.50226  -0.75346  -1.99735  -0.55897   1.63006   1.63006  -0.55897  -1.99735  -0.75346   1.50226   1.74057  -0.35856  -1.97618  -0.93995   1.35855   1.83263  -0.15435  -1.93406  -1.11649   1.20043   1.90527   0.05150  -1.87143  -1.28119   1.02959   1.95771   0.25680  -1.78897  -1.43230   0.84783   1.98940   0.45938  -1.68755  -1.56824   0.65708   2.00000     ... ... ..... ....... ......... ........... .............
E25 *    2.00000   0.55897  -1.68755  -1.50226   0.84783   1.97618   0.25680  -1.83263  -1.28119   1.11649   1.90527  -0.05150  -1.93406  -1.02959   1.35855   1.78897  -0.35856  -1.98940  -0.75346   1.56824   1.63006  -0.65708  -1.99735  -0.45938   1.74057   1.43230  -0.93995  -1.95771  -0.15435   1.87143   1.20043  -1.20043  -1.87143   0.15435   1.95771   0.93995  -1.43230  -1.74057   0.45938   1.99735   0.65708  -1.63006  -1.56824   0.75346   1.98940   0.35856  -1.78897  -1.35855   1.02959   1.93406   0.05150  -1.90527  -1.11649   1.28119   1.83263  -0.25680  -1.97618  -0.84783   1.50226   1.68755  -0.55897  -2.00000     ... ... ..... ....... ......... ........... .............
E26 *    2.00000   0.45938  -1.78897  -1.28119   1.20043   1.83263  -0.35856  -1.99735  -0.55897   1.74057   1.35855  -1.11649  -1.87143   0.25680   1.98940   0.65708  -1.68755  -1.43230   1.02959   1.90527  -0.15435  -1.97618  -0.75346   1.63006   1.50226  -0.93995  -1.93406   0.05150   1.95771   0.84783  -1.56824  -1.56824   0.84783   1.95771   0.05150  -1.93406  -0.93995   1.50226   1.63006  -0.75346  -1.97618  -0.15435   1.90527   1.02959  -1.43230  -1.68755   0.65708   1.98940   0.25680  -1.87143  -1.11649   1.35855   1.74057  -0.55897  -1.99735  -0.35856   1.83263   1.20043  -1.28119  -1.78897   0.45938   2.00000     ... ... ..... ....... ......... ........... .............
E27 *    2.00000   0.35856  -1.87143  -1.02959   1.50226   1.56824  -0.93995  -1.90527   0.25680   1.99735   0.45938  -1.83263  -1.11649   1.43230   1.63006  -0.84783  -1.93406   0.15435   1.98940   0.55897  -1.78897  -1.20043   1.35855   1.68755  -0.75346  -1.95771   0.05150   1.97618   0.65708  -1.74057  -1.28119   1.28119   1.74057  -0.65708  -1.97618  -0.05150   1.95771   0.75346  -1.68755  -1.35855   1.20043   1.78897  -0.55897  -1.98940  -0.15435   1.93406   0.84783  -1.63006  -1.43230   1.11649   1.83263  -0.45938  -1.99735  -0.25680   1.90527   0.93995  -1.56824  -1.50226   1.02959   1.87143  -0.35856  -2.00000     ... ... ..... ....... ......... ........... .............
E28 *    2.00000   0.25680  -1.93406  -0.75346   1.74057   1.20043  -1.43230  -1.56824   1.02959   1.83263  -0.55897  -1.97618   0.05150   1.98940   0.45938  -1.87143  -0.93995   1.63006   1.35855  -1.28119  -1.68755   0.84783   1.90527  -0.35856  -1.99735  -0.15435   1.95771   0.65708  -1.78897  -1.11649   1.50226   1.50226  -1.11649  -1.78897   0.65708   1.95771  -0.15435  -1.99735  -0.35856   1.90527   0.84783  -1.68755  -1.28119   1.35855   1.63006  -0.93995  -1.87143   0.45938   1.98940   0.05150  -1.97618  -0.55897   1.83263   1.02959  -1.56824  -1.43230   1.20043   1.74057  -0.75346  -1.93406   0.25680   2.00000     ... ... ..... ....... ......... ........... .............
E29 *    2.00000   0.15435  -1.97618  -0.45938   1.90527   0.75346  -1.78897  -1.02959   1.63006   1.28119  -1.43230  -1.50226   1.20043   1.68755  -0.93995  -1.83263   0.65708   1.93406  -0.35856  -1.98940   0.05150   1.99735   0.25680  -1.95771  -0.55897   1.87143   0.84783  -1.74057  -1.11649   1.56824   1.35855  -1.35855  -1.56824   1.11649   1.74057  -0.84783  -1.87143   0.55897   1.95771  -0.25680  -1.99735  -0.05150   1.98940   0.35856  -1.93406  -0.65708   1.83263   0.93995  -1.68755  -1.20043   1.50226   1.43230  -1.28119  -1.63006   1.02959   1.78897  -0.75346  -1.90527   0.45938   1.97618  -0.15435  -2.00000     ... ... ..... ....... ......... ........... .............
E30 *    2.00000   0.05150  -1.99735  -0.15435   1.98940   0.25680  -1.97618  -0.35856   1.95771   0.45938  -1.93406  -0.55897   1.90527   0.65708  -1.87143  -0.75346   1.83263   0.84783  -1.78897  -0.93995   1.74057   1.02959  -1.68755  -1.11649   1.63006   1.20043  -1.56824  -1.28119   1.50226   1.35855  -1.43230  -1.43230   1.35855   1.50226  -1.28119  -1.56824   1.20043   1.63006  -1.11649  -1.68755   1.02959   1.74057  -0.93995  -1.78897   0.84783   1.83263  -0.75346  -1.87143   0.65708   1.90527  -0.55897  -1.93406   0.45938   1.95771  -0.35856  -1.97618   0.25680   1.98940  -0.15435  -1.99735   0.05150   2.00000     ... ... ..... ....... ......... ........... .............
E31 *    2.00000  -0.05150  -1.99735   0.15435   1.98940  -0.25680  -1.97618   0.35856   1.95771  -0.45938  -1.93406   0.55897   1.90527  -0.65708  -1.87143   0.75346   1.83263  -0.84783  -1.78897   0.93995   1.74057  -1.02959  -1.68755   1.11649   1.63006  -1.20043  -1.56824   1.28119   1.50226  -1.35855  -1.43230   1.43230   1.35855  -1.50226  -1.28119   1.56824   1.20043  -1.63006  -1.11649   1.68755   1.02959  -1.74057  -0.93995   1.78897   0.84783  -1.83263  -0.75346   1.87143   0.65708  -1.90527  -0.55897   1.93406   0.45938  -1.95771  -0.35856   1.97618   0.25680  -1.98940  -0.15435   1.99735   0.05150  -2.00000     ... ... ..... ....... ......... ........... .............
E32 *    2.00000  -0.15435  -1.97618   0.45938   1.90527  -0.75346  -1.78897   1.02959   1.63006  -1.28119  -1.43230   1.50226   1.20043  -1.68755  -0.93995   1.83263   0.65708  -1.93406  -0.35856   1.98940   0.05150  -1.99735   0.25680   1.95771  -0.55897  -1.87143   0.84783   1.74057  -1.11649  -1.56824   1.35855   1.35855  -1.56824  -1.11649   1.74057   0.84783  -1.87143  -0.55897   1.95771   0.25680  -1.99735   0.05150   1.98940  -0.35856  -1.93406   0.65708   1.83263  -0.93995  -1.68755   1.20043   1.50226  -1.43230  -1.28119   1.63006   1.02959  -1.78897  -0.75346   1.90527   0.45938  -1.97618  -0.15435   2.00000     ... ... ..... ....... ......... ........... .............
E33 *    2.00000  -0.25680  -1.93406   0.75346   1.74057  -1.20043  -1.43230   1.56824   1.02959  -1.83263  -0.55897   1.97618   0.05150  -1.98940   0.45938   1.87143  -0.93995  -1.63006   1.35855   1.28119  -1.68755  -0.84783   1.90527   0.35856  -1.99735   0.15435   1.95771  -0.65708  -1.78897   1.11649   1.50226  -1.50226  -1.11649   1.78897   0.65708  -1.95771  -0.15435   1.99735  -0.35856  -1.90527   0.84783   1.68755  -1.28119  -1.35855   1.63006   0.93995  -1.87143  -0.45938   1.98940  -0.05150  -1.97618   0.55897   1.83263  -1.02959  -1.56824   1.43230   1.20043  -1.74057  -0.75346   1.93406   0.25680  -2.00000     ... ... ..... ....... ......... ........... .............
E34 *    2.00000  -0.35856  -1.87143   1.02959   1.50226  -1.56824  -0.93995   1.90527   0.25680  -1.99735   0.45938   1.83263  -1.11649  -1.43230   1.63006   0.84783  -1.93406  -0.15435   1.98940  -0.55897  -1.78897   1.20043   1.35855  -1.68755  -0.75346   1.95771   0.05150  -1.97618   0.65708   1.74057  -1.28119  -1.28119   1.74057   0.65708  -1.97618   0.05150   1.95771  -0.75346  -1.68755   1.35855   1.20043  -1.78897  -0.55897   1.98940  -0.15435  -1.93406   0.84783   1.63006  -1.43230  -1.11649   1.83263   0.45938  -1.99735   0.25680   1.90527  -0.93995  -1.56824   1.50226   1.02959  -1.87143  -0.35856   2.00000     ... ... ..... ....... ......... ........... .............
E35 *    2.00000  -0.45938  -1.78897   1.28119   1.20043  -1.83263  -0.35856   1.99735  -0.55897  -1.74057   1.35855   1.11649  -1.87143  -0.25680   1.98940  -0.65708  -1.68755   1.43230   1.02959  -1.90527  -0.15435   1.97618  -0.75346  -1.63006   1.50226   0.93995  -1.93406  -0.05150   1.95771  -0.84783  -1.56824   1.56824   0.84783  -1.95771   0.05150   1.93406  -0.93995  -1.50226   1.63006   0.75346  -1.97618   0.15435   1.90527  -1.02959  -1.43230   1.68755   0.65708  -1.98940   0.25680   1.87143  -1.11649  -1.35855   1.74057   0.55897  -1.99735   0.35856   1.83263  -1.20043  -1.28119   1.78897   0.45938  -2.00000     ... ... ..... ....... ......... ........... .............
E36 *    2.00000  -0.55897  -1.68755   1.50226   0.84783  -1.97618   0.25680   1.83263  -1.28119  -1.11649   1.90527   0.05150  -1.93406   1.02959   1.35855  -1.78897  -0.35856   1.98940  -0.75346  -1.56824   1.63006   0.65708  -1.99735   0.45938   1.74057  -1.43230  -0.93995   1.95771  -0.15435  -1.87143   1.20043   1.20043  -1.87143  -0.15435   1.95771  -0.93995  -1.43230   1.74057   0.45938  -1.99735   0.65708   1.63006  -1.56824  -0.75346   1.98940  -0.35856  -1.78897   1.35855   1.02959  -1.93406   0.05150   1.90527  -1.11649  -1.28119   1.83263   0.25680  -1.97618   0.84783   1.50226  -1.68755  -0.55897   2.00000     ... ... ..... ....... ......... ........... .............
E37 *    2.00000  -0.65708  -1.56824   1.68755   0.45938  -1.98940   0.84783   1.43230  -1.78897  -0.25680   1.95771  -1.02959  -1.28119   1.87143   0.05150  -1.90527   1.20043   1.11649  -1.93406   0.15435   1.83263  -1.35855  -0.93995   1.97618  -0.35856  -1.74057   1.50226   0.75346  -1.99735   0.55897   1.63006  -1.63006  -0.55897   1.99735  -0.75346  -1.50226   1.74057   0.35856  -1.97618   0.93995   1.35855  -1.83263  -0.15435   1.93406  -1.11649  -1.20043   1.90527  -0.05150  -1.87143   1.28119   1.02959  -1.95771   0.25680   1.78897  -1.43230  -0.84783   1.98940  -0.45938  -1.68755   1.56824   0.65708  -2.00000     ... ... ..... ....... ......... ........... .............
E38 *    2.00000  -0.75346  -1.43230   1.83263   0.05150  -1.87143   1.35855   0.84783  -1.99735   0.65708   1.50226  -1.78897  -0.15435   1.90527  -1.28119  -0.93995   1.98940  -0.55897  -1.56824   1.74057   0.25680  -1.93406   1.20043   1.02959  -1.97618   0.45938   1.63006  -1.68755  -0.35856   1.95771  -1.11649  -1.11649   1.95771  -0.35856  -1.68755   1.63006   0.45938  -1.97618   1.02959   1.20043  -1.93406   0.25680   1.74057  -1.56824  -0.55897   1.98940  -0.93995  -1.28119   1.90527  -0.15435  -1.78897   1.50226   0.65708  -1.99735   0.84783   1.35855  -1.87143   0.05150   1.83263  -1.43230  -0.75346   2.00000     ... ... ..... ....... ......... ........... .............
E39 *    2.00000  -0.84783  -1.28119   1.93406  -0.35856  -1.63006   1.74057   0.15435  -1.87143   1.43230   0.65708  -1.98940   1.02959   1.11649  -1.97618   0.55897   1.50226  -1.83263   0.05150   1.78897  -1.56824  -0.45938   1.95771  -1.20043  -0.93995   1.99735  -0.75346  -1.35855   1.90527  -0.25680  -1.68755   1.68755   0.25680  -1.90527   1.35855   0.75346  -1.99735   0.93995   1.20043  -1.95771   0.45938   1.56824  -1.78897  -0.05150   1.83263  -1.50226  -0.55897   1.97618  -1.11649  -1.02959   1.98940  -0.65708  -1.43230   1.87143  -0.15435  -1.74057   1.63006   0.35856  -1.93406   1.28119   0.84783  -2.00000     ... ... ..... ....... ......... ........... .............
E40 *    2.00000  -0.93995  -1.11649   1.98940  -0.75346  -1.28119   1.95771  -0.55897  -1.43230   1.90527  -0.35856  -1.56824   1.83263  -0.15435  -1.68755   1.74057   0.05150  -1.78897   1.63006   0.25680  -1.87143   1.50226   0.45938  -1.93406   1.35855   0.65708  -1.97618   1.20043   0.84783  -1.99735   1.02959   1.02959  -1.99735   0.84783   1.20043  -1.97618   0.65708   1.35855  -1.93406   0.45938   1.50226  -1.87143   0.25680   1.63006  -1.78897   0.05150   1.74057  -1.68755  -0.15435   1.83263  -1.56824  -0.35856   1.90527  -1.43230  -0.55897   1.95771  -1.28119  -0.75346   1.98940  -1.11649  -0.93995   2.00000     ... ... ..... ....... ......... ........... .............
E41 *    2.00000  -1.02959  -0.93995   1.99735  -1.11649  -0.84783   1.98940  -1.20043  -0.75346   1.97618  -1.28119  -0.65708   1.95771  -1.35855  -0.55897   1.93406  -1.43230  -0.45938   1.90527  -1.50226  -0.35856   1.87143  -1.56824  -0.25680   1.83263  -1.63006  -0.15435   1.78897  -1.68755  -0.05150   1.74057  -1.74057   0.05150   1.68755  -1.78897   0.15435   1.63006  -1.83263   0.25680   1.56824  -1.87143   0.35856   1.50226  -1.90527   0.45938   1.43230  -1.93406   0.55897   1.35855  -1.95771   0.65708   1.28119  -1.97618   0.75346   1.20043  -1.98940   0.84783   1.11649  -1.99735   0.93995   1.02959  -2.00000     ... ... ..... ....... ......... ........... .............
E42 *    2.00000  -1.11649  -0.75346   1.95771  -1.43230  -0.35856   1.83263  -1.68755   0.05150   1.63006  -1.87143   0.45938   1.35855  -1.97618   0.84783   1.02959  -1.99735   1.20043   0.65708  -1.93406   1.50226   0.25680  -1.78897   1.74057  -0.15435  -1.56824   1.90527  -0.55897  -1.28119   1.98940  -0.93995  -0.93995   1.98940  -1.28119  -0.55897   1.90527  -1.56824  -0.15435   1.74057  -1.78897   0.25680   1.50226  -1.93406   0.65708   1.20043  -1.99735   1.02959   0.84783  -1.97618   1.35855   0.45938  -1.87143   1.63006   0.05150  -1.68755   1.83263  -0.35856  -1.43230   1.95771  -0.75346  -1.11649   2.00000     ... ... ..... ....... ......... ........... .............
E43 *    2.00000  -1.20043  -0.55897   1.87143  -1.68755   0.15435   1.50226  -1.95771   0.84783   0.93995  -1.97618   1.43230   0.25680  -1.74057   1.83263  -0.45938  -1.28119   1.99735  -1.11649  -0.65708   1.90527  -1.63006   0.05150   1.56824  -1.93406   0.75346   1.02959  -1.98940   1.35855   0.35856  -1.78897   1.78897  -0.35856  -1.35855   1.98940  -1.02959  -0.75346   1.93406  -1.56824  -0.05150   1.63006  -1.90527   0.65708   1.11649  -1.99735   1.28119   0.45938  -1.83263   1.74057  -0.25680  -1.43230   1.97618  -0.93995  -0.84783   1.95771  -1.50226  -0.15435   1.68755  -1.87143   0.55897   1.20043  -2.00000     ... ... ..... ....... ......... ........... .............
E44 *    2.00000  -1.28119  -0.35856   1.74057  -1.87143   0.65708   1.02959  -1.97618   1.50226   0.05150  -1.56824   1.95771  -0.93995  -0.75346   1.90527  -1.68755   0.25680   1.35855  -1.99735   1.20043   0.45938  -1.78897   1.83263  -0.55897  -1.11649   1.98940  -1.43230  -0.15435   1.63006  -1.93406   0.84783   0.84783  -1.93406   1.63006  -0.15435  -1.43230   1.98940  -1.11649  -0.55897   1.83263  -1.78897   0.45938   1.20043  -1.99735   1.35855   0.25680  -1.68755   1.90527  -0.75346  -0.93995   1.95771  -1.56824   0.05150   1.50226  -1.97618   1.02959   0.65708  -1.87143   1.74057  -0.35856  -1.28119   2.00000     ... ... ..... ....... ......... ........... .............
E45 *    2.00000  -1.35855  -0.15435   1.56824  -1.97618   1.11649   0.45938  -1.74057   1.90527  -0.84783  -0.75346   1.87143  -1.78897   0.55897   1.02959  -1.95771   1.63006  -0.25680  -1.28119   1.99735  -1.43230  -0.05150   1.50226  -1.98940   1.20043   0.35856  -1.68755   1.93406  -0.93995  -0.65708   1.83263  -1.83263   0.65708   0.93995  -1.93406   1.68755  -0.35856  -1.20043   1.98940  -1.50226   0.05150   1.43230  -1.99735   1.28119   0.25680  -1.63006   1.95771  -1.02959  -0.55897   1.78897  -1.87143   0.75346   0.84783  -1.90527   1.74057  -0.45938  -1.11649   1.97618  -1.56824   0.15435   1.35855  -2.00000     ... ... ..... ....... ......... ........... .............
E46 *    2.00000  -1.43230   0.05150   1.35855  -1.99735   1.50226  -0.15435  -1.28119   1.98940  -1.56824   0.25680   1.20043  -1.97618   1.63006  -0.35856  -1.11649   1.95771  -1.68755   0.45938   1.02959  -1.93406   1.74057  -0.55897  -0.93995   1.90527  -1.78897   0.65708   0.84783  -1.87143   1.83263  -0.75346  -0.75346   1.83263  -1.87143   0.84783   0.65708  -1.78897   1.90527  -0.93995  -0.55897   1.74057  -1.93406   1.02959   0.45938  -1.68755   1.95771  -1.11649  -0.35856   1.63006  -1.97618   1.20043   0.25680  -1.56824   1.98940  -1.28119  -0.15435   1.50226  -1.99735   1.35855   0.05150  -1.43230   2.00000     ... ... ..... ....... ......... ........... .............
E47 *    2.00000  -1.50226   0.25680   1.11649  -1.93406   1.78897  -0.75346  -0.65708   1.74057  -1.95771   1.20043   0.15435  -1.43230   1.99735  -1.56824   0.35856   1.02959  -1.90527   1.83263  -0.84783  -0.55897   1.68755  -1.97618   1.28119   0.05150  -1.35855   1.98940  -1.63006   0.45938   0.93995  -1.87143   1.87143  -0.93995  -0.45938   1.63006  -1.98940   1.35855  -0.05150  -1.28119   1.97618  -1.68755   0.55897   0.84783  -1.83263   1.90527  -1.02959  -0.35856   1.56824  -1.99735   1.43230  -0.15435  -1.20043   1.95771  -1.74057   0.65708   0.75346  -1.78897   1.93406  -1.11649  -0.25680   1.50226  -2.00000     ... ... ..... ....... ......... ........... .............
E48 *    2.00000  -1.56824   0.45938   0.84783  -1.78897   1.95771  -1.28119   0.05150   1.20043  -1.93406   1.83263  -0.93995  -0.35856   1.50226  -1.99735   1.63006  -0.55897  -0.75346   1.74057  -1.97618   1.35855  -0.15435  -1.11649   1.90527  -1.87143   1.02959   0.25680  -1.43230   1.98940  -1.68755   0.65708   0.65708  -1.68755   1.98940  -1.43230   0.25680   1.02959  -1.87143   1.90527  -1.11649  -0.15435   1.35855  -1.97618   1.74057  -0.75346  -0.55897   1.63006  -1.99735   1.50226  -0.35856  -0.93995   1.83263  -1.93406   1.20043   0.05150  -1.28119   1.95771  -1.78897   0.84783   0.45938  -1.56824   2.00000     ... ... ..... ....... ......... ........... .............
E49 *    2.00000  -1.63006   0.65708   0.55897  -1.56824   1.99735  -1.68755   0.75346   0.45938  -1.50226   1.98940  -1.74057   0.84783   0.35856  -1.43230   1.97618  -1.78897   0.93995   0.25680  -1.35855   1.95771  -1.83263   1.02959   0.15435  -1.28119   1.93406  -1.87143   1.11649   0.05150  -1.20043   1.90527  -1.90527   1.20043  -0.05150  -1.11649   1.87143  -1.93406   1.28119  -0.15435  -1.02959   1.83263  -1.95771   1.35855  -0.25680  -0.93995   1.78897  -1.97618   1.43230  -0.35856  -0.84783   1.74057  -1.98940   1.50226  -0.45938  -0.75346   1.68755  -1.99735   1.56824  -0.55897  -0.65708   1.63006  -2.00000     ... ... ..... ....... ......... ........... .............
E50 *    2.00000  -1.68755   0.84783   0.25680  -1.28119   1.90527  -1.93406   1.35855  -0.35856  -0.75346   1.63006  -1.99735   1.74057  -0.93995  -0.15435   1.20043  -1.87143   1.95771  -1.43230   0.45938   0.65708  -1.56824   1.98940  -1.78897   1.02959   0.05150  -1.11649   1.83263  -1.97618   1.50226  -0.55897  -0.55897   1.50226  -1.97618   1.83263  -1.11649   0.05150   1.02959  -1.78897   1.98940  -1.56824   0.65708   0.45938  -1.43230   1.95771  -1.87143   1.20043  -0.15435  -0.93995   1.74057  -1.99735   1.63006  -0.75346  -0.35856   1.35855  -1.93406   1.90527  -1.28119   0.25680   0.84783  -1.68755   2.00000     ... ... ..... ....... ......... ........... .............
E51 *    2.00000  -1.74057   1.02959  -0.05150  -0.93995   1.68755  -1.99735   1.78897  -1.11649   0.15435   0.84783  -1.63006   1.98940  -1.83263   1.20043  -0.25680  -0.75346   1.56824  -1.97618   1.87143  -1.28119   0.35856   0.65708  -1.50226   1.95771  -1.90527   1.35855  -0.45938  -0.55897   1.43230  -1.93406   1.93406  -1.43230   0.55897   0.45938  -1.35855   1.90527  -1.95771   1.50226  -0.65708  -0.35856   1.28119  -1.87143   1.97618  -1.56824   0.75346   0.25680  -1.20043   1.83263  -1.98940   1.63006  -0.84783  -0.15435   1.11649  -1.78897   1.99735  -1.68755   0.93995   0.05150  -1.02959   1.74057  -2.00000     ... ... ..... ....... ......... ........... .............
E52 *    2.00000  -1.78897   1.20043  -0.35856  -0.55897   1.35855  -1.87143   1.98940  -1.68755   1.02959  -0.15435  -0.75346   1.50226  -1.93406   1.95771  -1.56824   0.84783   0.05150  -0.93995   1.63006  -1.97618   1.90527  -1.43230   0.65708   0.25680  -1.11649   1.74057  -1.99735   1.83263  -1.28119   0.45938   0.45938  -1.28119   1.83263  -1.99735   1.74057  -1.11649   0.25680   0.65708  -1.43230   1.90527  -1.97618   1.63006  -0.93995   0.05150   0.84783  -1.56824   1.95771  -1.93406   1.50226  -0.75346  -0.15435   1.02959  -1.68755   1.98940  -1.87143   1.35855  -0.55897  -0.35856   1.20043  -1.78897   2.00000     ... ... ..... ....... ......... ........... .............
E53 *    2.00000  -1.83263   1.35855  -0.65708  -0.15435   0.93995  -1.56824   1.93406  -1.97618   1.68755  -1.11649   0.35856   0.45938  -1.20043   1.74057  -1.98940   1.90527  -1.50226   0.84783  -0.05150  -0.75346   1.43230  -1.87143   1.99735  -1.78897   1.28119  -0.55897  -0.25680   1.02959  -1.63006   1.95771  -1.95771   1.63006  -1.02959   0.25680   0.55897  -1.28119   1.78897  -1.99735   1.87143  -1.43230   0.75346   0.05150  -0.84783   1.50226  -1.90527   1.98940  -1.74057   1.20043  -0.45938  -0.35856   1.11649  -1.68755   1.97618  -1.93406   1.56824  -0.93995   0.15435   0.65708  -1.35855   1.83263  -2.00000     ... ... ..... ....... ......... ........... .............
E54 *    2.00000  -1.87143   1.50226  -0.93995   0.25680   0.45938  -1.11649   1.63006  -1.93406   1.98940  -1.78897   1.35855  -0.75346   0.05150   0.65708  -1.28119   1.74057  -1.97618   1.95771  -1.68755   1.20043  -0.55897  -0.15435   0.84783  -1.43230   1.83263  -1.99735   1.90527  -1.56824   1.02959  -0.35856  -0.35856   1.02959  -1.56824   1.90527  -1.99735   1.83263  -1.43230   0.84783  -0.15435  -0.55897   1.20043  -1.68755   1.95771  -1.97618   1.74057  -1.28119   0.65708   0.05150  -0.75346   1.35855  -1.78897   1.98940  -1.93406   1.63006  -1.11649   0.45938   0.25680  -0.93995   1.50226  -1.87143   2.00000     ... ... ..... ....... ......... ........... .............
E55 *    2.00000  -1.90527   1.63006  -1.20043   0.65708  -0.05150  -0.55897   1.11649  -1.56824   1.87143  -1.99735   1.93406  -1.68755   1.28119  -0.75346   0.15435   0.45938  -1.02959   1.50226  -1.83263   1.98940  -1.95771   1.74057  -1.35855   0.84783  -0.25680  -0.35856   0.93995  -1.43230   1.78897  -1.97618   1.97618  -1.78897   1.43230  -0.93995   0.35856   0.25680  -0.84783   1.35855  -1.74057   1.95771  -1.98940   1.83263  -1.50226   1.02959  -0.45938  -0.15435   0.75346  -1.28119   1.68755  -1.93406   1.99735  -1.87143   1.56824  -1.11649   0.55897   0.05150  -0.65708   1.20043  -1.63006   1.90527  -2.00000     ... ... ..... ....... ......... ........... .............
E56 *    2.00000  -1.93406   1.74057  -1.43230   1.02959  -0.55897   0.05150   0.45938  -0.93995   1.35855  -1.68755   1.90527  -1.99735   1.95771  -1.78897   1.50226  -1.11649   0.65708  -0.15435  -0.35856   0.84783  -1.28119   1.63006  -1.87143   1.98940  -1.97618   1.83263  -1.56824   1.20043  -0.75346   0.25680   0.25680  -0.75346   1.20043  -1.56824   1.83263  -1.97618   1.98940  -1.87143   1.63006  -1.28119   0.84783  -0.35856  -0.15435   0.65708  -1.11649   1.50226  -1.78897   1.95771  -1.99735   1.90527  -1.68755   1.35855  -0.93995   0.45938   0.05150  -0.55897   1.02959  -1.43230   1.74057  -1.93406   2.00000     ... ... ..... ....... ......... ........... .............
E57 *    2.00000  -1.95771   1.83263  -1.63006   1.35855  -1.02959   0.65708  -0.25680  -0.15435   0.55897  -0.93995   1.28119  -1.56824   1.78897  -1.93406   1.99735  -1.97618   1.87143  -1.68755   1.43230  -1.11649   0.75346  -0.35856  -0.05150   0.45938  -0.84783   1.20043  -1.50226   1.74057  -1.90527   1.98940  -1.98940   1.90527  -1.74057   1.50226  -1.20043   0.84783  -0.45938   0.05150   0.35856  -0.75346   1.11649  -1.43230   1.68755  -1.87143   1.97618  -1.99735   1.93406  -1.78897   1.56824  -1.28119   0.93995  -0.55897   0.15435   0.25680  -0.65708   1.02959  -1.35855   1.63006  -1.83263   1.95771  -2.00000     ... ... ..... ....... ......... ........... .............
E58 *    2.00000  -1.97618   1.90527  -1.78897   1.63006  -1.43230   1.20043  -0.93995   0.65708  -0.35856   0.05150   0.25680  -0.55897   0.84783  -1.11649   1.35855  -1.56824   1.74057  -1.87143   1.95771  -1.99735   1.98940  -1.93406   1.83263  -1.68755   1.50226  -1.28119   1.02959  -0.75346   0.45938  -0.15435  -0.15435   0.45938  -0.75346   1.02959  -1.28119   1.50226  -1.68755   1.83263  -1.93406   1.98940  -1.99735   1.95771  -1.87143   1.74057  -1.56824   1.35855  -1.11649   0.84783  -0.55897   0.25680   0.05150  -0.35856   0.65708  -0.93995   1.20043  -1.43230   1.63006  -1.78897   1.90527  -1.97618   2.00000     ... ... ..... ....... ......... ........... .............
E59 *    2.00000  -1.98940   1.95771  -1.90527   1.83263  -1.74057   1.63006  -1.50226   1.35855  -1.20043   1.02959  -0.84783   0.65708  -0.45938   0.25680  -0.05150  -0.15435   0.35856  -0.55897   0.75346  -0.93995   1.11649  -1.28119   1.43230  -1.56824   1.68755  -1.78897   1.87143  -1.93406   1.97618  -1.99735   1.99735  -1.97618   1.93406  -1.87143   1.78897  -1.68755   1.56824  -1.43230   1.28119  -1.11649   0.93995  -0.75346   0.55897  -0.35856   0.15435   0.05150  -0.25680   0.45938  -0.65708   0.84783  -1.02959   1.20043  -1.35855   1.50226  -1.63006   1.74057  -1.83263   1.90527  -1.95771   1.98940  -2.00000     ... ... ..... ....... ......... ........... .............
E60 *    2.00000  -1.99735   1.98940  -1.97618   1.95771  -1.93406   1.90527  -1.87143   1.83263  -1.78897   1.74057  -1.68755   1.63006  -1.56824   1.50226  -1.43230   1.35855  -1.28119   1.20043  -1.11649   1.02959  -0.93995   0.84783  -0.75346   0.65708  -0.55897   0.45938  -0.35856   0.25680  -0.15435   0.05150   0.05150  -0.15435   0.25680  -0.35856   0.45938  -0.55897   0.65708  -0.75346   0.84783  -0.93995   1.02959  -1.11649   1.20043  -1.28119   1.35855  -1.43230   1.50226  -1.56824   1.63006  -1.68755   1.74057  -1.78897   1.83263  -1.87143   1.90527  -1.93406   1.95771  -1.97618   1.98940  -1.99735   2.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.997348179770 = 2*cos(2*π/122) = 2*cos(π/61)
                               1.989399751229 = 2*cos(4*π/122) = 2*cos(2*π/61)
                               1.976175792182 = 2*cos(6*π/122) = 2*cos(3*π/61)
                               1.957711370191 = 2*cos(8*π/122) = 2*cos(4*π/61)
                               1.934055449583 = 2*cos(10*π/122) = 2*cos(5*π/61)
                               1.905270761607 = 2*cos(12*π/122) = 2*cos(6*π/61)
                               1.871433638081 = 2*cos(14*π/122) = 2*cos(7*π/61)
                               1.832633808974 = 2*cos(16*π/122) = 2*cos(8*π/61)
                               1.788974164458 = 2*cos(18*π/122) = 2*cos(9*π/61)
                               1.740570482060 = 2*cos(20*π/122) = 2*cos(10*π/61)
                               1.687551119646 = 2*cos(22*π/122) = 2*cos(11*π/61)
                               1.630056675034 = 2*cos(24*π/122) = 2*cos(12*π/61)
                               1.568239613153 = 2*cos(26*π/122) = 2*cos(13*π/61)
                               1.502263861741 = 2*cos(28*π/122) = 2*cos(14*π/61)
                               1.432304376629 = 2*cos(30*π/122) = 2*cos(15*π/61)
                               1.358546677795 = 2*cos(32*π/122) = 2*cos(16*π/61)
                               1.281186357396 = 2*cos(34*π/122) = 2*cos(17*π/61)
                               1.200428561097 = 2*cos(36*π/122) = 2*cos(18*π/61)
                               1.116487444054 = 2*cos(38*π/122) = 2*cos(19*π/61)
                               1.029585603020 = 2*cos(40*π/122) = 2*cos(20*π/61)
                               0.939953486055 = 2*cos(42*π/122) = 2*cos(21*π/61)
                               0.847828781420 = 2*cos(44*π/122) = 2*cos(22*π/61)
                               0.753455787270 = 2*cos(46*π/122) = 2*cos(23*π/61)
                               0.657084763822 = 2*cos(48*π/122) = 2*cos(24*π/61)
                               0.558971269703 = 2*cos(50*π/122) = 2*cos(25*π/61)
                               0.459375484264 = 2*cos(52*π/122) = 2*cos(26*π/61)
                               0.358561517621 = 2*cos(54*π/122) = 2*cos(27*π/61)
                               0.256796710293 = 2*cos(56*π/122) = 2*cos(28*π/61)
                               0.154350924253 = 2*cos(58*π/122) = 2*cos(29*π/61)
                               0.051495827310 = 2*cos(60*π/122) = 2*cos(30*π/61)



 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 C122 point group is 122, and the order of the principal axis (C122) is 122. The group has 62 irreducible representations.

    β  The C122 point group is isomorphic to S122 and C61h.

    γ  The C122 point group is generated by one single symmetry element, C122. Therefore, it is a cyclic group.

    δ  The lowest nonvanishing multipole moment in C122 is 2 (dipole moment).

    ε  This is an Abelian point group (the commutative law holds between all symmetry operations).
       The C122 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 120 cases have been combined into 60 two-dimensional representations that are no longer irreducible but have real-valued characters.
       Accordingly, 60 pairs of left and right rotations have been combined into one two-membered pseudo-class each.

    η  The 60 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 C122 point group was created by Gernot Katzer.

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