Character table for the S136 point group

S136    E         2 S136    2 C68     2 S136^3  2 C34     2 S136^5  2 C68^3   2 S136^7  2 C17     2 S136^9  2 C68^5   2 S136^11 2 C34^3   2 S136^13 2 C68^7   2 S136^15 2 C17^2   2 S8      2 C68^9   2 S136^19 2 C34^5   2 S136^21 2 C68^11  2 S136^23 2 C17^3   2 S136^25 2 C68^13  2 S136^27 2 C34^7   2 S136^29 2 C68^15  2 S136^31 2 C17^4   2 S136^33 2 C4      2 S136^35 2 C34^9   2 S136^37 2 C68^19  2 S136^39 2 C17^5   2 S136^41 2 C68^21  2 S136^43 2 C34^11  2 S136^45 2 C68^23  2 S136^47 2 C17^6   2 S136^49 2 C68^25  2 S8^3    2 C34^13  2 S136^53 2 C68^27  2 S136^55 2 C17^7   2 S136^57 2 C68^29  2 S136^59 2 C34^15  2 S136^61 2 C68^31  2 S136^63 2 C17^8   2 S136^65 2 C68^33  2 S136^67 C2           <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A        1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000     ..T ... ....T ....... ........T ........... ............T
B        1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000     ... ..T ..... ......T ......... ..........T .............
E1  *    2.00000   1.99787   1.99147   1.98082   1.96595   1.94688   1.92365   1.89632   1.86494   1.82959   1.79033   1.74724   1.70043   1.64999   1.59603   1.53867   1.47802   1.41421   1.34739   1.27769   1.20527   1.13027   1.05286   0.97321   0.89148   0.80784   0.72248   0.63558   0.54733   0.45790   0.36750   0.27631   0.18454   0.09237   0.00000  -0.09237  -0.18454  -0.27631  -0.36750  -0.45790  -0.54733  -0.63558  -0.72248  -0.80784  -0.89148  -0.97321  -1.05286  -1.13027  -1.20527  -1.27769  -1.34739  -1.41421  -1.47802  -1.53867  -1.59603  -1.64999  -1.70043  -1.74724  -1.79033  -1.82959  -1.86494  -1.89632  -1.92365  -1.94688  -1.96595  -1.98082  -1.99147  -1.99787  -2.00000     ... TT. ..... ....TT. ......... ........TT. .............
E2  *    2.00000   1.99147   1.96595   1.92365   1.86494   1.79033   1.70043   1.59603   1.47802   1.34739   1.20527   1.05286   0.89148   0.72248   0.54733   0.36750   0.18454   0.00000  -0.18454  -0.36750  -0.54733  -0.72248  -0.89148  -1.05286  -1.20527  -1.34739  -1.47802  -1.59603  -1.70043  -1.79033  -1.86494  -1.92365  -1.96595  -1.99147  -2.00000  -1.99147  -1.96595  -1.92365  -1.86494  -1.79033  -1.70043  -1.59603  -1.47802  -1.34739  -1.20527  -1.05286  -0.89148  -0.72248  -0.54733  -0.36750  -0.18454   0.00000   0.18454   0.36750   0.54733   0.72248   0.89148   1.05286   1.20527   1.34739   1.47802   1.59603   1.70043   1.79033   1.86494   1.92365   1.96595   1.99147   2.00000     ... ... TT... ....... ....TT... ........... ........TT...
E3  *    2.00000   1.98082   1.92365   1.82959   1.70043   1.53867   1.34739   1.13027   0.89148   0.63558   0.36750   0.09237  -0.18454  -0.45790  -0.72248  -0.97321  -1.20527  -1.41421  -1.59603  -1.74724  -1.86494  -1.94688  -1.99147  -1.99787  -1.96595  -1.89632  -1.79033  -1.64999  -1.47802  -1.27769  -1.05286  -0.80784  -0.54733  -0.27631   0.00000   0.27631   0.54733   0.80784   1.05286   1.27769   1.47802   1.64999   1.79033   1.89632   1.96595   1.99787   1.99147   1.94688   1.86494   1.74724   1.59603   1.41421   1.20527   0.97321   0.72248   0.45790   0.18454  -0.09237  -0.36750  -0.63558  -0.89148  -1.13027  -1.34739  -1.53867  -1.70043  -1.82959  -1.92365  -1.98082  -2.00000     ... ... ..... TT..... ......... ....TT..... .............
E4  *    2.00000   1.96595   1.86494   1.70043   1.47802   1.20527   0.89148   0.54733   0.18454  -0.18454  -0.54733  -0.89148  -1.20527  -1.47802  -1.70043  -1.86494  -1.96595  -2.00000  -1.96595  -1.86494  -1.70043  -1.47802  -1.20527  -0.89148  -0.54733  -0.18454   0.18454   0.54733   0.89148   1.20527   1.47802   1.70043   1.86494   1.96595   2.00000   1.96595   1.86494   1.70043   1.47802   1.20527   0.89148   0.54733   0.18454  -0.18454  -0.54733  -0.89148  -1.20527  -1.47802  -1.70043  -1.86494  -1.96595  -2.00000  -1.96595  -1.86494  -1.70043  -1.47802  -1.20527  -0.89148  -0.54733  -0.18454   0.18454   0.54733   0.89148   1.20527   1.47802   1.70043   1.86494   1.96595   2.00000     ... ... ..... ....... TT....... ........... ....TT.......
E5  *    2.00000   1.94688   1.79033   1.53867   1.20527   0.80784   0.36750  -0.09237  -0.54733  -0.97321  -1.34739  -1.64999  -1.86494  -1.98082  -1.99147  -1.89632  -1.70043  -1.41421  -1.05286  -0.63558  -0.18454   0.27631   0.72248   1.13027   1.47802   1.74724   1.92365   1.99787   1.96595   1.82959   1.59603   1.27769   0.89148   0.45790   0.00000  -0.45790  -0.89148  -1.27769  -1.59603  -1.82959  -1.96595  -1.99787  -1.92365  -1.74724  -1.47802  -1.13027  -0.72248  -0.27631   0.18454   0.63558   1.05286   1.41421   1.70043   1.89632   1.99147   1.98082   1.86494   1.64999   1.34739   0.97321   0.54733   0.09237  -0.36750  -0.80784  -1.20527  -1.53867  -1.79033  -1.94688  -2.00000     ... ... ..... ....... ......... TT......... .............
E6  *    2.00000   1.92365   1.70043   1.34739   0.89148   0.36750  -0.18454  -0.72248  -1.20527  -1.59603  -1.86494  -1.99147  -1.96595  -1.79033  -1.47802  -1.05286  -0.54733   0.00000   0.54733   1.05286   1.47802   1.79033   1.96595   1.99147   1.86494   1.59603   1.20527   0.72248   0.18454  -0.36750  -0.89148  -1.34739  -1.70043  -1.92365  -2.00000  -1.92365  -1.70043  -1.34739  -0.89148  -0.36750   0.18454   0.72248   1.20527   1.59603   1.86494   1.99147   1.96595   1.79033   1.47802   1.05286   0.54733   0.00000  -0.54733  -1.05286  -1.47802  -1.79033  -1.96595  -1.99147  -1.86494  -1.59603  -1.20527  -0.72248  -0.18454   0.36750   0.89148   1.34739   1.70043   1.92365   2.00000     ... ... ..... ....... ......... ........... TT...........
E7  *    2.00000   1.89632   1.59603   1.13027   0.54733  -0.09237  -0.72248  -1.27769  -1.70043  -1.94688  -1.99147  -1.82959  -1.47802  -0.97321  -0.36750   0.27631   0.89148   1.41421   1.79033   1.98082   1.96595   1.74724   1.34739   0.80784   0.18454  -0.45790  -1.05286  -1.53867  -1.86494  -1.99787  -1.92365  -1.64999  -1.20527  -0.63558   0.00000   0.63558   1.20527   1.64999   1.92365   1.99787   1.86494   1.53867   1.05286   0.45790  -0.18454  -0.80784  -1.34739  -1.74724  -1.96595  -1.98082  -1.79033  -1.41421  -0.89148  -0.27631   0.36750   0.97321   1.47802   1.82959   1.99147   1.94688   1.70043   1.27769   0.72248   0.09237  -0.54733  -1.13027  -1.59603  -1.89632  -2.00000     ... ... ..... ....... ......... ........... .............
E8  *    2.00000   1.86494   1.47802   0.89148   0.18454  -0.54733  -1.20527  -1.70043  -1.96595  -1.96595  -1.70043  -1.20527  -0.54733   0.18454   0.89148   1.47802   1.86494   2.00000   1.86494   1.47802   0.89148   0.18454  -0.54733  -1.20527  -1.70043  -1.96595  -1.96595  -1.70043  -1.20527  -0.54733   0.18454   0.89148   1.47802   1.86494   2.00000   1.86494   1.47802   0.89148   0.18454  -0.54733  -1.20527  -1.70043  -1.96595  -1.96595  -1.70043  -1.20527  -0.54733   0.18454   0.89148   1.47802   1.86494   2.00000   1.86494   1.47802   0.89148   0.18454  -0.54733  -1.20527  -1.70043  -1.96595  -1.96595  -1.70043  -1.20527  -0.54733   0.18454   0.89148   1.47802   1.86494   2.00000     ... ... ..... ....... ......... ........... .............
E9  *    2.00000   1.82959   1.34739   0.63558  -0.18454  -0.97321  -1.59603  -1.94688  -1.96595  -1.64999  -1.05286  -0.27631   0.54733   1.27769   1.79033   1.99787   1.86494   1.41421   0.72248  -0.09237  -0.89148  -1.53867  -1.92365  -1.98082  -1.70043  -1.13027  -0.36750   0.45790   1.20527   1.74724   1.99147   1.89632   1.47802   0.80784   0.00000  -0.80784  -1.47802  -1.89632  -1.99147  -1.74724  -1.20527  -0.45790   0.36750   1.13027   1.70043   1.98082   1.92365   1.53867   0.89148   0.09237  -0.72248  -1.41421  -1.86494  -1.99787  -1.79033  -1.27769  -0.54733   0.27631   1.05286   1.64999   1.96595   1.94688   1.59603   0.97321   0.18454  -0.63558  -1.34739  -1.82959  -2.00000     ... ... ..... ....... ......... ........... .............
E10 *    2.00000   1.79033   1.20527   0.36750  -0.54733  -1.34739  -1.86494  -1.99147  -1.70043  -1.05286  -0.18454   0.72248   1.47802   1.92365   1.96595   1.59603   0.89148   0.00000  -0.89148  -1.59603  -1.96595  -1.92365  -1.47802  -0.72248   0.18454   1.05286   1.70043   1.99147   1.86494   1.34739   0.54733  -0.36750  -1.20527  -1.79033  -2.00000  -1.79033  -1.20527  -0.36750   0.54733   1.34739   1.86494   1.99147   1.70043   1.05286   0.18454  -0.72248  -1.47802  -1.92365  -1.96595  -1.59603  -0.89148   0.00000   0.89148   1.59603   1.96595   1.92365   1.47802   0.72248  -0.18454  -1.05286  -1.70043  -1.99147  -1.86494  -1.34739  -0.54733   0.36750   1.20527   1.79033   2.00000     ... ... ..... ....... ......... ........... .............
E11 *    2.00000   1.74724   1.05286   0.09237  -0.89148  -1.64999  -1.99147  -1.82959  -1.20527  -0.27631   0.72248   1.53867   1.96595   1.89632   1.34739   0.45790  -0.54733  -1.41421  -1.92365  -1.94688  -1.47802  -0.63558   0.36750   1.27769   1.86494   1.98082   1.59603   0.80784  -0.18454  -1.13027  -1.79033  -1.99787  -1.70043  -0.97321   0.00000   0.97321   1.70043   1.99787   1.79033   1.13027   0.18454  -0.80784  -1.59603  -1.98082  -1.86494  -1.27769  -0.36750   0.63558   1.47802   1.94688   1.92365   1.41421   0.54733  -0.45790  -1.34739  -1.89632  -1.96595  -1.53867  -0.72248   0.27631   1.20527   1.82959   1.99147   1.64999   0.89148  -0.09237  -1.05286  -1.74724  -2.00000     ... ... ..... ....... ......... ........... .............
E12 *    2.00000   1.70043   0.89148  -0.18454  -1.20527  -1.86494  -1.96595  -1.47802  -0.54733   0.54733   1.47802   1.96595   1.86494   1.20527   0.18454  -0.89148  -1.70043  -2.00000  -1.70043  -0.89148   0.18454   1.20527   1.86494   1.96595   1.47802   0.54733  -0.54733  -1.47802  -1.96595  -1.86494  -1.20527  -0.18454   0.89148   1.70043   2.00000   1.70043   0.89148  -0.18454  -1.20527  -1.86494  -1.96595  -1.47802  -0.54733   0.54733   1.47802   1.96595   1.86494   1.20527   0.18454  -0.89148  -1.70043  -2.00000  -1.70043  -0.89148   0.18454   1.20527   1.86494   1.96595   1.47802   0.54733  -0.54733  -1.47802  -1.96595  -1.86494  -1.20527  -0.18454   0.89148   1.70043   2.00000     ... ... ..... ....... ......... ........... .............
E13 *    2.00000   1.64999   0.72248  -0.45790  -1.47802  -1.98082  -1.79033  -0.97321   0.18454   1.27769   1.92365   1.89632   1.20527   0.09237  -1.05286  -1.82959  -1.96595  -1.41421  -0.36750   0.80784   1.70043   1.99787   1.59603   0.63558  -0.54733  -1.53867  -1.99147  -1.74724  -0.89148   0.27631   1.34739   1.94688   1.86494   1.13027   0.00000  -1.13027  -1.86494  -1.94688  -1.34739  -0.27631   0.89148   1.74724   1.99147   1.53867   0.54733  -0.63558  -1.59603  -1.99787  -1.70043  -0.80784   0.36750   1.41421   1.96595   1.82959   1.05286  -0.09237  -1.20527  -1.89632  -1.92365  -1.27769  -0.18454   0.97321   1.79033   1.98082   1.47802   0.45790  -0.72248  -1.64999  -2.00000     ... ... ..... ....... ......... ........... .............
E14 *    2.00000   1.59603   0.54733  -0.72248  -1.70043  -1.99147  -1.47802  -0.36750   0.89148   1.79033   1.96595   1.34739   0.18454  -1.05286  -1.86494  -1.92365  -1.20527   0.00000   1.20527   1.92365   1.86494   1.05286  -0.18454  -1.34739  -1.96595  -1.79033  -0.89148   0.36750   1.47802   1.99147   1.70043   0.72248  -0.54733  -1.59603  -2.00000  -1.59603  -0.54733   0.72248   1.70043   1.99147   1.47802   0.36750  -0.89148  -1.79033  -1.96595  -1.34739  -0.18454   1.05286   1.86494   1.92365   1.20527   0.00000  -1.20527  -1.92365  -1.86494  -1.05286   0.18454   1.34739   1.96595   1.79033   0.89148  -0.36750  -1.47802  -1.99147  -1.70043  -0.72248   0.54733   1.59603   2.00000     ... ... ..... ....... ......... ........... .............
E15 *    2.00000   1.53867   0.36750  -0.97321  -1.86494  -1.89632  -1.05286   0.27631   1.47802   1.99787   1.59603   0.45790  -0.89148  -1.82959  -1.92365  -1.13027   0.18454   1.41421   1.99147   1.64999   0.54733  -0.80784  -1.79033  -1.94688  -1.20527   0.09237   1.34739   1.98082   1.70043   0.63558  -0.72248  -1.74724  -1.96595  -1.27769   0.00000   1.27769   1.96595   1.74724   0.72248  -0.63558  -1.70043  -1.98082  -1.34739  -0.09237   1.20527   1.94688   1.79033   0.80784  -0.54733  -1.64999  -1.99147  -1.41421  -0.18454   1.13027   1.92365   1.82959   0.89148  -0.45790  -1.59603  -1.99787  -1.47802  -0.27631   1.05286   1.89632   1.86494   0.97321  -0.36750  -1.53867  -2.00000     ... ... ..... ....... ......... ........... .............
E16 *    2.00000   1.47802   0.18454  -1.20527  -1.96595  -1.70043  -0.54733   0.89148   1.86494   1.86494   0.89148  -0.54733  -1.70043  -1.96595  -1.20527   0.18454   1.47802   2.00000   1.47802   0.18454  -1.20527  -1.96595  -1.70043  -0.54733   0.89148   1.86494   1.86494   0.89148  -0.54733  -1.70043  -1.96595  -1.20527   0.18454   1.47802   2.00000   1.47802   0.18454  -1.20527  -1.96595  -1.70043  -0.54733   0.89148   1.86494   1.86494   0.89148  -0.54733  -1.70043  -1.96595  -1.20527   0.18454   1.47802   2.00000   1.47802   0.18454  -1.20527  -1.96595  -1.70043  -0.54733   0.89148   1.86494   1.86494   0.89148  -0.54733  -1.70043  -1.96595  -1.20527   0.18454   1.47802   2.00000     ... ... ..... ....... ......... ........... .............
E17 *    2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000  -1.41421   0.00000   1.41421   2.00000   1.41421   0.00000  -1.41421  -2.00000     ... ... ..... ....... ......... ........... .............
E18 *    2.00000   1.34739  -0.18454  -1.59603  -1.96595  -1.05286   0.54733   1.79033   1.86494   0.72248  -0.89148  -1.92365  -1.70043  -0.36750   1.20527   1.99147   1.47802   0.00000  -1.47802  -1.99147  -1.20527   0.36750   1.70043   1.92365   0.89148  -0.72248  -1.86494  -1.79033  -0.54733   1.05286   1.96595   1.59603   0.18454  -1.34739  -2.00000  -1.34739   0.18454   1.59603   1.96595   1.05286  -0.54733  -1.79033  -1.86494  -0.72248   0.89148   1.92365   1.70043   0.36750  -1.20527  -1.99147  -1.47802   0.00000   1.47802   1.99147   1.20527  -0.36750  -1.70043  -1.92365  -0.89148   0.72248   1.86494   1.79033   0.54733  -1.05286  -1.96595  -1.59603  -0.18454   1.34739   2.00000     ... ... ..... ....... ......... ........... .............
E19 *    2.00000   1.27769  -0.36750  -1.74724  -1.86494  -0.63558   1.05286   1.98082   1.47802  -0.09237  -1.59603  -1.94688  -0.89148   0.80784   1.92365   1.64999   0.18454  -1.41421  -1.99147  -1.13027   0.54733   1.82959   1.79033   0.45790  -1.20527  -1.99787  -1.34739   0.27631   1.70043   1.89632   0.72248  -0.97321  -1.96595  -1.53867   0.00000   1.53867   1.96595   0.97321  -0.72248  -1.89632  -1.70043  -0.27631   1.34739   1.99787   1.20527  -0.45790  -1.79033  -1.82959  -0.54733   1.13027   1.99147   1.41421  -0.18454  -1.64999  -1.92365  -0.80784   0.89148   1.94688   1.59603   0.09237  -1.47802  -1.98082  -1.05286   0.63558   1.86494   1.74724   0.36750  -1.27769  -2.00000     ... ... ..... ....... ......... ........... .............
E20 *    2.00000   1.20527  -0.54733  -1.86494  -1.70043  -0.18454   1.47802   1.96595   0.89148  -0.89148  -1.96595  -1.47802   0.18454   1.70043   1.86494   0.54733  -1.20527  -2.00000  -1.20527   0.54733   1.86494   1.70043   0.18454  -1.47802  -1.96595  -0.89148   0.89148   1.96595   1.47802  -0.18454  -1.70043  -1.86494  -0.54733   1.20527   2.00000   1.20527  -0.54733  -1.86494  -1.70043  -0.18454   1.47802   1.96595   0.89148  -0.89148  -1.96595  -1.47802   0.18454   1.70043   1.86494   0.54733  -1.20527  -2.00000  -1.20527   0.54733   1.86494   1.70043   0.18454  -1.47802  -1.96595  -0.89148   0.89148   1.96595   1.47802  -0.18454  -1.70043  -1.86494  -0.54733   1.20527   2.00000     ... ... ..... ....... ......... ........... .............
E21 *    2.00000   1.13027  -0.72248  -1.94688  -1.47802   0.27631   1.79033   1.74724   0.18454  -1.53867  -1.92365  -0.63558   1.20527   1.99787   1.05286  -0.80784  -1.96595  -1.41421   0.36750   1.82959   1.70043   0.09237  -1.59603  -1.89632  -0.54733   1.27769   1.99147   0.97321  -0.89148  -1.98082  -1.34739   0.45790   1.86494   1.64999   0.00000  -1.64999  -1.86494  -0.45790   1.34739   1.98082   0.89148  -0.97321  -1.99147  -1.27769   0.54733   1.89632   1.59603  -0.09237  -1.70043  -1.82959  -0.36750   1.41421   1.96595   0.80784  -1.05286  -1.99787  -1.20527   0.63558   1.92365   1.53867  -0.18454  -1.74724  -1.79033  -0.27631   1.47802   1.94688   0.72248  -1.13027  -2.00000     ... ... ..... ....... ......... ........... .............
E22 *    2.00000   1.05286  -0.89148  -1.99147  -1.20527   0.72248   1.96595   1.34739  -0.54733  -1.92365  -1.47802   0.36750   1.86494   1.59603  -0.18454  -1.79033  -1.70043   0.00000   1.70043   1.79033   0.18454  -1.59603  -1.86494  -0.36750   1.47802   1.92365   0.54733  -1.34739  -1.96595  -0.72248   1.20527   1.99147   0.89148  -1.05286  -2.00000  -1.05286   0.89148   1.99147   1.20527  -0.72248  -1.96595  -1.34739   0.54733   1.92365   1.47802  -0.36750  -1.86494  -1.59603   0.18454   1.79033   1.70043   0.00000  -1.70043  -1.79033  -0.18454   1.59603   1.86494   0.36750  -1.47802  -1.92365  -0.54733   1.34739   1.96595   0.72248  -1.20527  -1.99147  -0.89148   1.05286   2.00000     ... ... ..... ....... ......... ........... .............
E23 *    2.00000   0.97321  -1.05286  -1.99787  -0.89148   1.13027   1.99147   0.80784  -1.20527  -1.98082  -0.72248   1.27769   1.96595   0.63558  -1.34739  -1.94688  -0.54733   1.41421   1.92365   0.45790  -1.47802  -1.89632  -0.36750   1.53867   1.86494   0.27631  -1.59603  -1.82959  -0.18454   1.64999   1.79033   0.09237  -1.70043  -1.74724   0.00000   1.74724   1.70043  -0.09237  -1.79033  -1.64999   0.18454   1.82959   1.59603  -0.27631  -1.86494  -1.53867   0.36750   1.89632   1.47802  -0.45790  -1.92365  -1.41421   0.54733   1.94688   1.34739  -0.63558  -1.96595  -1.27769   0.72248   1.98082   1.20527  -0.80784  -1.99147  -1.13027   0.89148   1.99787   1.05286  -0.97321  -2.00000     ... ... ..... ....... ......... ........... .............
E24 *    2.00000   0.89148  -1.20527  -1.96595  -0.54733   1.47802   1.86494   0.18454  -1.70043  -1.70043   0.18454   1.86494   1.47802  -0.54733  -1.96595  -1.20527   0.89148   2.00000   0.89148  -1.20527  -1.96595  -0.54733   1.47802   1.86494   0.18454  -1.70043  -1.70043   0.18454   1.86494   1.47802  -0.54733  -1.96595  -1.20527   0.89148   2.00000   0.89148  -1.20527  -1.96595  -0.54733   1.47802   1.86494   0.18454  -1.70043  -1.70043   0.18454   1.86494   1.47802  -0.54733  -1.96595  -1.20527   0.89148   2.00000   0.89148  -1.20527  -1.96595  -0.54733   1.47802   1.86494   0.18454  -1.70043  -1.70043   0.18454   1.86494   1.47802  -0.54733  -1.96595  -1.20527   0.89148   2.00000     ... ... ..... ....... ......... ........... .............
E25 *    2.00000   0.80784  -1.34739  -1.89632  -0.18454   1.74724   1.59603  -0.45790  -1.96595  -1.13027   1.05286   1.98082   0.54733  -1.53867  -1.79033   0.09237   1.86494   1.41421  -0.72248  -1.99787  -0.89148   1.27769   1.92365   0.27631  -1.70043  -1.64999   0.36750   1.94688   1.20527  -0.97321  -1.99147  -0.63558   1.47802   1.82959   0.00000  -1.82959  -1.47802   0.63558   1.99147   0.97321  -1.20527  -1.94688  -0.36750   1.64999   1.70043  -0.27631  -1.92365  -1.27769   0.89148   1.99787   0.72248  -1.41421  -1.86494  -0.09237   1.79033   1.53867  -0.54733  -1.98082  -1.05286   1.13027   1.96595   0.45790  -1.59603  -1.74724   0.18454   1.89632   1.34739  -0.80784  -2.00000     ... ... ..... ....... ......... ........... .............
E26 *    2.00000   0.72248  -1.47802  -1.79033   0.18454   1.92365   1.20527  -1.05286  -1.96595  -0.36750   1.70043   1.59603  -0.54733  -1.99147  -0.89148   1.34739   1.86494   0.00000  -1.86494  -1.34739   0.89148   1.99147   0.54733  -1.59603  -1.70043   0.36750   1.96595   1.05286  -1.20527  -1.92365  -0.18454   1.79033   1.47802  -0.72248  -2.00000  -0.72248   1.47802   1.79033  -0.18454  -1.92365  -1.20527   1.05286   1.96595   0.36750  -1.70043  -1.59603   0.54733   1.99147   0.89148  -1.34739  -1.86494   0.00000   1.86494   1.34739  -0.89148  -1.99147  -0.54733   1.59603   1.70043  -0.36750  -1.96595  -1.05286   1.20527   1.92365   0.18454  -1.79033  -1.47802   0.72248   2.00000     ... ... ..... ....... ......... ........... .............
E27 *    2.00000   0.63558  -1.59603  -1.64999   0.54733   1.99787   0.72248  -1.53867  -1.70043   0.45790   1.99147   0.80784  -1.47802  -1.74724   0.36750   1.98082   0.89148  -1.41421  -1.79033   0.27631   1.96595   0.97321  -1.34739  -1.82959   0.18454   1.94688   1.05286  -1.27769  -1.86494   0.09237   1.92365   1.13027  -1.20527  -1.89632   0.00000   1.89632   1.20527  -1.13027  -1.92365  -0.09237   1.86494   1.27769  -1.05286  -1.94688  -0.18454   1.82959   1.34739  -0.97321  -1.96595  -0.27631   1.79033   1.41421  -0.89148  -1.98082  -0.36750   1.74724   1.47802  -0.80784  -1.99147  -0.45790   1.70043   1.53867  -0.72248  -1.99787  -0.54733   1.64999   1.59603  -0.63558  -2.00000     ... ... ..... ....... ......... ........... .............
E28 *    2.00000   0.54733  -1.70043  -1.47802   0.89148   1.96595   0.18454  -1.86494  -1.20527   1.20527   1.86494  -0.18454  -1.96595  -0.89148   1.47802   1.70043  -0.54733  -2.00000  -0.54733   1.70043   1.47802  -0.89148  -1.96595  -0.18454   1.86494   1.20527  -1.20527  -1.86494   0.18454   1.96595   0.89148  -1.47802  -1.70043   0.54733   2.00000   0.54733  -1.70043  -1.47802   0.89148   1.96595   0.18454  -1.86494  -1.20527   1.20527   1.86494  -0.18454  -1.96595  -0.89148   1.47802   1.70043  -0.54733  -2.00000  -0.54733   1.70043   1.47802  -0.89148  -1.96595  -0.18454   1.86494   1.20527  -1.20527  -1.86494   0.18454   1.96595   0.89148  -1.47802  -1.70043   0.54733   2.00000     ... ... ..... ....... ......... ........... .............
E29 *    2.00000   0.45790  -1.79033  -1.27769   1.20527   1.82959  -0.36750  -1.99787  -0.54733   1.74724   1.34739  -1.13027  -1.86494   0.27631   1.99147   0.63558  -1.70043  -1.41421   1.05286   1.89632  -0.18454  -1.98082  -0.72248   1.64999   1.47802  -0.97321  -1.92365   0.09237   1.96595   0.80784  -1.59603  -1.53867   0.89148   1.94688   0.00000  -1.94688  -0.89148   1.53867   1.59603  -0.80784  -1.96595  -0.09237   1.92365   0.97321  -1.47802  -1.64999   0.72248   1.98082   0.18454  -1.89632  -1.05286   1.41421   1.70043  -0.63558  -1.99147  -0.27631   1.86494   1.13027  -1.34739  -1.74724   0.54733   1.99787   0.36750  -1.82959  -1.20527   1.27769   1.79033  -0.45790  -2.00000     ... ... ..... ....... ......... ........... .............
E30 *    2.00000   0.36750  -1.86494  -1.05286   1.47802   1.59603  -0.89148  -1.92365   0.18454   1.99147   0.54733  -1.79033  -1.20527   1.34739   1.70043  -0.72248  -1.96595   0.00000   1.96595   0.72248  -1.70043  -1.34739   1.20527   1.79033  -0.54733  -1.99147  -0.18454   1.92365   0.89148  -1.59603  -1.47802   1.05286   1.86494  -0.36750  -2.00000  -0.36750   1.86494   1.05286  -1.47802  -1.59603   0.89148   1.92365  -0.18454  -1.99147  -0.54733   1.79033   1.20527  -1.34739  -1.70043   0.72248   1.96595   0.00000  -1.96595  -0.72248   1.70043   1.34739  -1.20527  -1.79033   0.54733   1.99147   0.18454  -1.92365  -0.89148   1.59603   1.47802  -1.05286  -1.86494   0.36750   2.00000     ... ... ..... ....... ......... ........... .............
E31 *    2.00000   0.27631  -1.92365  -0.80784   1.70043   1.27769  -1.34739  -1.64999   0.89148   1.89632  -0.36750  -1.99787  -0.18454   1.94688   0.72248  -1.74724  -1.20527   1.41421   1.59603  -0.97321  -1.86494   0.45790   1.99147   0.09237  -1.96595  -0.63558   1.79033   1.13027  -1.47802  -1.53867   1.05286   1.82959  -0.54733  -1.98082   0.00000   1.98082   0.54733  -1.82959  -1.05286   1.53867   1.47802  -1.13027  -1.79033   0.63558   1.96595  -0.09237  -1.99147  -0.45790   1.86494   0.97321  -1.59603  -1.41421   1.20527   1.74724  -0.72248  -1.94688   0.18454   1.99787   0.36750  -1.89632  -0.89148   1.64999   1.34739  -1.27769  -1.70043   0.80784   1.92365  -0.27631  -2.00000     ... ... ..... ....... ......... ........... .............
E32 *    2.00000   0.18454  -1.96595  -0.54733   1.86494   0.89148  -1.70043  -1.20527   1.47802   1.47802  -1.20527  -1.70043   0.89148   1.86494  -0.54733  -1.96595   0.18454   2.00000   0.18454  -1.96595  -0.54733   1.86494   0.89148  -1.70043  -1.20527   1.47802   1.47802  -1.20527  -1.70043   0.89148   1.86494  -0.54733  -1.96595   0.18454   2.00000   0.18454  -1.96595  -0.54733   1.86494   0.89148  -1.70043  -1.20527   1.47802   1.47802  -1.20527  -1.70043   0.89148   1.86494  -0.54733  -1.96595   0.18454   2.00000   0.18454  -1.96595  -0.54733   1.86494   0.89148  -1.70043  -1.20527   1.47802   1.47802  -1.20527  -1.70043   0.89148   1.86494  -0.54733  -1.96595   0.18454   2.00000     ... ... ..... ....... ......... ........... .............
E33 *    2.00000   0.09237  -1.99147  -0.27631   1.96595   0.45790  -1.92365  -0.63558   1.86494   0.80784  -1.79033  -0.97321   1.70043   1.13027  -1.59603  -1.27769   1.47802   1.41421  -1.34739  -1.53867   1.20527   1.64999  -1.05286  -1.74724   0.89148   1.82959  -0.72248  -1.89632   0.54733   1.94688  -0.36750  -1.98082   0.18454   1.99787   0.00000  -1.99787  -0.18454   1.98082   0.36750  -1.94688  -0.54733   1.89632   0.72248  -1.82959  -0.89148   1.74724   1.05286  -1.64999  -1.20527   1.53867   1.34739  -1.41421  -1.47802   1.27769   1.59603  -1.13027  -1.70043   0.97321   1.79033  -0.80784  -1.86494   0.63558   1.92365  -0.45790  -1.96595   0.27631   1.99147  -0.09237  -2.00000     ... ... ..... ....... ......... ........... .............
E34 *    2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000     ... ... ..... ....... ......... ........... .............
E35 *    2.00000  -0.09237  -1.99147   0.27631   1.96595  -0.45790  -1.92365   0.63558   1.86494  -0.80784  -1.79033   0.97321   1.70043  -1.13027  -1.59603   1.27769   1.47802  -1.41421  -1.34739   1.53867   1.20527  -1.64999  -1.05286   1.74724   0.89148  -1.82959  -0.72248   1.89632   0.54733  -1.94688  -0.36750   1.98082   0.18454  -1.99787   0.00000   1.99787  -0.18454  -1.98082   0.36750   1.94688  -0.54733  -1.89632   0.72248   1.82959  -0.89148  -1.74724   1.05286   1.64999  -1.20527  -1.53867   1.34739   1.41421  -1.47802  -1.27769   1.59603   1.13027  -1.70043  -0.97321   1.79033   0.80784  -1.86494  -0.63558   1.92365   0.45790  -1.96595  -0.27631   1.99147   0.09237  -2.00000     ... ... ..... ....... ......... ........... .............
E36 *    2.00000  -0.18454  -1.96595   0.54733   1.86494  -0.89148  -1.70043   1.20527   1.47802  -1.47802  -1.20527   1.70043   0.89148  -1.86494  -0.54733   1.96595   0.18454  -2.00000   0.18454   1.96595  -0.54733  -1.86494   0.89148   1.70043  -1.20527  -1.47802   1.47802   1.20527  -1.70043  -0.89148   1.86494   0.54733  -1.96595  -0.18454   2.00000  -0.18454  -1.96595   0.54733   1.86494  -0.89148  -1.70043   1.20527   1.47802  -1.47802  -1.20527   1.70043   0.89148  -1.86494  -0.54733   1.96595   0.18454  -2.00000   0.18454   1.96595  -0.54733  -1.86494   0.89148   1.70043  -1.20527  -1.47802   1.47802   1.20527  -1.70043  -0.89148   1.86494   0.54733  -1.96595  -0.18454   2.00000     ... ... ..... ....... ......... ........... .............
E37 *    2.00000  -0.27631  -1.92365   0.80784   1.70043  -1.27769  -1.34739   1.64999   0.89148  -1.89632  -0.36750   1.99787  -0.18454  -1.94688   0.72248   1.74724  -1.20527  -1.41421   1.59603   0.97321  -1.86494  -0.45790   1.99147  -0.09237  -1.96595   0.63558   1.79033  -1.13027  -1.47802   1.53867   1.05286  -1.82959  -0.54733   1.98082   0.00000  -1.98082   0.54733   1.82959  -1.05286  -1.53867   1.47802   1.13027  -1.79033  -0.63558   1.96595   0.09237  -1.99147   0.45790   1.86494  -0.97321  -1.59603   1.41421   1.20527  -1.74724  -0.72248   1.94688   0.18454  -1.99787   0.36750   1.89632  -0.89148  -1.64999   1.34739   1.27769  -1.70043  -0.80784   1.92365   0.27631  -2.00000     ... ... ..... ....... ......... ........... .............
E38 *    2.00000  -0.36750  -1.86494   1.05286   1.47802  -1.59603  -0.89148   1.92365   0.18454  -1.99147   0.54733   1.79033  -1.20527  -1.34739   1.70043   0.72248  -1.96595   0.00000   1.96595  -0.72248  -1.70043   1.34739   1.20527  -1.79033  -0.54733   1.99147  -0.18454  -1.92365   0.89148   1.59603  -1.47802  -1.05286   1.86494   0.36750  -2.00000   0.36750   1.86494  -1.05286  -1.47802   1.59603   0.89148  -1.92365  -0.18454   1.99147  -0.54733  -1.79033   1.20527   1.34739  -1.70043  -0.72248   1.96595   0.00000  -1.96595   0.72248   1.70043  -1.34739  -1.20527   1.79033   0.54733  -1.99147   0.18454   1.92365  -0.89148  -1.59603   1.47802   1.05286  -1.86494  -0.36750   2.00000     ... ... ..... ....... ......... ........... .............
E39 *    2.00000  -0.45790  -1.79033   1.27769   1.20527  -1.82959  -0.36750   1.99787  -0.54733  -1.74724   1.34739   1.13027  -1.86494  -0.27631   1.99147  -0.63558  -1.70043   1.41421   1.05286  -1.89632  -0.18454   1.98082  -0.72248  -1.64999   1.47802   0.97321  -1.92365  -0.09237   1.96595  -0.80784  -1.59603   1.53867   0.89148  -1.94688   0.00000   1.94688  -0.89148  -1.53867   1.59603   0.80784  -1.96595   0.09237   1.92365  -0.97321  -1.47802   1.64999   0.72248  -1.98082   0.18454   1.89632  -1.05286  -1.41421   1.70043   0.63558  -1.99147   0.27631   1.86494  -1.13027  -1.34739   1.74724   0.54733  -1.99787   0.36750   1.82959  -1.20527  -1.27769   1.79033   0.45790  -2.00000     ... ... ..... ....... ......... ........... .............
E40 *    2.00000  -0.54733  -1.70043   1.47802   0.89148  -1.96595   0.18454   1.86494  -1.20527  -1.20527   1.86494   0.18454  -1.96595   0.89148   1.47802  -1.70043  -0.54733   2.00000  -0.54733  -1.70043   1.47802   0.89148  -1.96595   0.18454   1.86494  -1.20527  -1.20527   1.86494   0.18454  -1.96595   0.89148   1.47802  -1.70043  -0.54733   2.00000  -0.54733  -1.70043   1.47802   0.89148  -1.96595   0.18454   1.86494  -1.20527  -1.20527   1.86494   0.18454  -1.96595   0.89148   1.47802  -1.70043  -0.54733   2.00000  -0.54733  -1.70043   1.47802   0.89148  -1.96595   0.18454   1.86494  -1.20527  -1.20527   1.86494   0.18454  -1.96595   0.89148   1.47802  -1.70043  -0.54733   2.00000     ... ... ..... ....... ......... ........... .............
E41 *    2.00000  -0.63558  -1.59603   1.64999   0.54733  -1.99787   0.72248   1.53867  -1.70043  -0.45790   1.99147  -0.80784  -1.47802   1.74724   0.36750  -1.98082   0.89148   1.41421  -1.79033  -0.27631   1.96595  -0.97321  -1.34739   1.82959   0.18454  -1.94688   1.05286   1.27769  -1.86494  -0.09237   1.92365  -1.13027  -1.20527   1.89632   0.00000  -1.89632   1.20527   1.13027  -1.92365   0.09237   1.86494  -1.27769  -1.05286   1.94688  -0.18454  -1.82959   1.34739   0.97321  -1.96595   0.27631   1.79033  -1.41421  -0.89148   1.98082  -0.36750  -1.74724   1.47802   0.80784  -1.99147   0.45790   1.70043  -1.53867  -0.72248   1.99787  -0.54733  -1.64999   1.59603   0.63558  -2.00000     ... ... ..... ....... ......... ........... .............
E42 *    2.00000  -0.72248  -1.47802   1.79033   0.18454  -1.92365   1.20527   1.05286  -1.96595   0.36750   1.70043  -1.59603  -0.54733   1.99147  -0.89148  -1.34739   1.86494   0.00000  -1.86494   1.34739   0.89148  -1.99147   0.54733   1.59603  -1.70043  -0.36750   1.96595  -1.05286  -1.20527   1.92365  -0.18454  -1.79033   1.47802   0.72248  -2.00000   0.72248   1.47802  -1.79033  -0.18454   1.92365  -1.20527  -1.05286   1.96595  -0.36750  -1.70043   1.59603   0.54733  -1.99147   0.89148   1.34739  -1.86494   0.00000   1.86494  -1.34739  -0.89148   1.99147  -0.54733  -1.59603   1.70043   0.36750  -1.96595   1.05286   1.20527  -1.92365   0.18454   1.79033  -1.47802  -0.72248   2.00000     ... ... ..... ....... ......... ........... .............
E43 *    2.00000  -0.80784  -1.34739   1.89632  -0.18454  -1.74724   1.59603   0.45790  -1.96595   1.13027   1.05286  -1.98082   0.54733   1.53867  -1.79033  -0.09237   1.86494  -1.41421  -0.72248   1.99787  -0.89148  -1.27769   1.92365  -0.27631  -1.70043   1.64999   0.36750  -1.94688   1.20527   0.97321  -1.99147   0.63558   1.47802  -1.82959   0.00000   1.82959  -1.47802  -0.63558   1.99147  -0.97321  -1.20527   1.94688  -0.36750  -1.64999   1.70043   0.27631  -1.92365   1.27769   0.89148  -1.99787   0.72248   1.41421  -1.86494   0.09237   1.79033  -1.53867  -0.54733   1.98082  -1.05286  -1.13027   1.96595  -0.45790  -1.59603   1.74724   0.18454  -1.89632   1.34739   0.80784  -2.00000     ... ... ..... ....... ......... ........... .............
E44 *    2.00000  -0.89148  -1.20527   1.96595  -0.54733  -1.47802   1.86494  -0.18454  -1.70043   1.70043   0.18454  -1.86494   1.47802   0.54733  -1.96595   1.20527   0.89148  -2.00000   0.89148   1.20527  -1.96595   0.54733   1.47802  -1.86494   0.18454   1.70043  -1.70043  -0.18454   1.86494  -1.47802  -0.54733   1.96595  -1.20527  -0.89148   2.00000  -0.89148  -1.20527   1.96595  -0.54733  -1.47802   1.86494  -0.18454  -1.70043   1.70043   0.18454  -1.86494   1.47802   0.54733  -1.96595   1.20527   0.89148  -2.00000   0.89148   1.20527  -1.96595   0.54733   1.47802  -1.86494   0.18454   1.70043  -1.70043  -0.18454   1.86494  -1.47802  -0.54733   1.96595  -1.20527  -0.89148   2.00000     ... ... ..... ....... ......... ........... .............
E45 *    2.00000  -0.97321  -1.05286   1.99787  -0.89148  -1.13027   1.99147  -0.80784  -1.20527   1.98082  -0.72248  -1.27769   1.96595  -0.63558  -1.34739   1.94688  -0.54733  -1.41421   1.92365  -0.45790  -1.47802   1.89632  -0.36750  -1.53867   1.86494  -0.27631  -1.59603   1.82959  -0.18454  -1.64999   1.79033  -0.09237  -1.70043   1.74724   0.00000  -1.74724   1.70043   0.09237  -1.79033   1.64999   0.18454  -1.82959   1.59603   0.27631  -1.86494   1.53867   0.36750  -1.89632   1.47802   0.45790  -1.92365   1.41421   0.54733  -1.94688   1.34739   0.63558  -1.96595   1.27769   0.72248  -1.98082   1.20527   0.80784  -1.99147   1.13027   0.89148  -1.99787   1.05286   0.97321  -2.00000     ... ... ..... ....... ......... ........... .............
E46 *    2.00000  -1.05286  -0.89148   1.99147  -1.20527  -0.72248   1.96595  -1.34739  -0.54733   1.92365  -1.47802  -0.36750   1.86494  -1.59603  -0.18454   1.79033  -1.70043   0.00000   1.70043  -1.79033   0.18454   1.59603  -1.86494   0.36750   1.47802  -1.92365   0.54733   1.34739  -1.96595   0.72248   1.20527  -1.99147   0.89148   1.05286  -2.00000   1.05286   0.89148  -1.99147   1.20527   0.72248  -1.96595   1.34739   0.54733  -1.92365   1.47802   0.36750  -1.86494   1.59603   0.18454  -1.79033   1.70043   0.00000  -1.70043   1.79033  -0.18454  -1.59603   1.86494  -0.36750  -1.47802   1.92365  -0.54733  -1.34739   1.96595  -0.72248  -1.20527   1.99147  -0.89148  -1.05286   2.00000     ... ... ..... ....... ......... ........... .............
E47 *    2.00000  -1.13027  -0.72248   1.94688  -1.47802  -0.27631   1.79033  -1.74724   0.18454   1.53867  -1.92365   0.63558   1.20527  -1.99787   1.05286   0.80784  -1.96595   1.41421   0.36750  -1.82959   1.70043  -0.09237  -1.59603   1.89632  -0.54733  -1.27769   1.99147  -0.97321  -0.89148   1.98082  -1.34739  -0.45790   1.86494  -1.64999   0.00000   1.64999  -1.86494   0.45790   1.34739  -1.98082   0.89148   0.97321  -1.99147   1.27769   0.54733  -1.89632   1.59603   0.09237  -1.70043   1.82959  -0.36750  -1.41421   1.96595  -0.80784  -1.05286   1.99787  -1.20527  -0.63558   1.92365  -1.53867  -0.18454   1.74724  -1.79033   0.27631   1.47802  -1.94688   0.72248   1.13027  -2.00000     ... ... ..... ....... ......... ........... .............
E48 *    2.00000  -1.20527  -0.54733   1.86494  -1.70043   0.18454   1.47802  -1.96595   0.89148   0.89148  -1.96595   1.47802   0.18454  -1.70043   1.86494  -0.54733  -1.20527   2.00000  -1.20527  -0.54733   1.86494  -1.70043   0.18454   1.47802  -1.96595   0.89148   0.89148  -1.96595   1.47802   0.18454  -1.70043   1.86494  -0.54733  -1.20527   2.00000  -1.20527  -0.54733   1.86494  -1.70043   0.18454   1.47802  -1.96595   0.89148   0.89148  -1.96595   1.47802   0.18454  -1.70043   1.86494  -0.54733  -1.20527   2.00000  -1.20527  -0.54733   1.86494  -1.70043   0.18454   1.47802  -1.96595   0.89148   0.89148  -1.96595   1.47802   0.18454  -1.70043   1.86494  -0.54733  -1.20527   2.00000     ... ... ..... ....... ......... ........... .............
E49 *    2.00000  -1.27769  -0.36750   1.74724  -1.86494   0.63558   1.05286  -1.98082   1.47802   0.09237  -1.59603   1.94688  -0.89148  -0.80784   1.92365  -1.64999   0.18454   1.41421  -1.99147   1.13027   0.54733  -1.82959   1.79033  -0.45790  -1.20527   1.99787  -1.34739  -0.27631   1.70043  -1.89632   0.72248   0.97321  -1.96595   1.53867   0.00000  -1.53867   1.96595  -0.97321  -0.72248   1.89632  -1.70043   0.27631   1.34739  -1.99787   1.20527   0.45790  -1.79033   1.82959  -0.54733  -1.13027   1.99147  -1.41421  -0.18454   1.64999  -1.92365   0.80784   0.89148  -1.94688   1.59603  -0.09237  -1.47802   1.98082  -1.05286  -0.63558   1.86494  -1.74724   0.36750   1.27769  -2.00000     ... ... ..... ....... ......... ........... .............
E50 *    2.00000  -1.34739  -0.18454   1.59603  -1.96595   1.05286   0.54733  -1.79033   1.86494  -0.72248  -0.89148   1.92365  -1.70043   0.36750   1.20527  -1.99147   1.47802   0.00000  -1.47802   1.99147  -1.20527  -0.36750   1.70043  -1.92365   0.89148   0.72248  -1.86494   1.79033  -0.54733  -1.05286   1.96595  -1.59603   0.18454   1.34739  -2.00000   1.34739   0.18454  -1.59603   1.96595  -1.05286  -0.54733   1.79033  -1.86494   0.72248   0.89148  -1.92365   1.70043  -0.36750  -1.20527   1.99147  -1.47802   0.00000   1.47802  -1.99147   1.20527   0.36750  -1.70043   1.92365  -0.89148  -0.72248   1.86494  -1.79033   0.54733   1.05286  -1.96595   1.59603  -0.18454  -1.34739   2.00000     ... ... ..... ....... ......... ........... .............
E51 *    2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000   1.41421   0.00000  -1.41421   2.00000  -1.41421   0.00000   1.41421  -2.00000     ... ... ..... ....... ......... ........... .............
E52 *    2.00000  -1.47802   0.18454   1.20527  -1.96595   1.70043  -0.54733  -0.89148   1.86494  -1.86494   0.89148   0.54733  -1.70043   1.96595  -1.20527  -0.18454   1.47802  -2.00000   1.47802  -0.18454  -1.20527   1.96595  -1.70043   0.54733   0.89148  -1.86494   1.86494  -0.89148  -0.54733   1.70043  -1.96595   1.20527   0.18454  -1.47802   2.00000  -1.47802   0.18454   1.20527  -1.96595   1.70043  -0.54733  -0.89148   1.86494  -1.86494   0.89148   0.54733  -1.70043   1.96595  -1.20527  -0.18454   1.47802  -2.00000   1.47802  -0.18454  -1.20527   1.96595  -1.70043   0.54733   0.89148  -1.86494   1.86494  -0.89148  -0.54733   1.70043  -1.96595   1.20527   0.18454  -1.47802   2.00000     ... ... ..... ....... ......... ........... .............
E53 *    2.00000  -1.53867   0.36750   0.97321  -1.86494   1.89632  -1.05286  -0.27631   1.47802  -1.99787   1.59603  -0.45790  -0.89148   1.82959  -1.92365   1.13027   0.18454  -1.41421   1.99147  -1.64999   0.54733   0.80784  -1.79033   1.94688  -1.20527  -0.09237   1.34739  -1.98082   1.70043  -0.63558  -0.72248   1.74724  -1.96595   1.27769   0.00000  -1.27769   1.96595  -1.74724   0.72248   0.63558  -1.70043   1.98082  -1.34739   0.09237   1.20527  -1.94688   1.79033  -0.80784  -0.54733   1.64999  -1.99147   1.41421  -0.18454  -1.13027   1.92365  -1.82959   0.89148   0.45790  -1.59603   1.99787  -1.47802   0.27631   1.05286  -1.89632   1.86494  -0.97321  -0.36750   1.53867  -2.00000     ... ... ..... ....... ......... ........... .............
E54 *    2.00000  -1.59603   0.54733   0.72248  -1.70043   1.99147  -1.47802   0.36750   0.89148  -1.79033   1.96595  -1.34739   0.18454   1.05286  -1.86494   1.92365  -1.20527   0.00000   1.20527  -1.92365   1.86494  -1.05286  -0.18454   1.34739  -1.96595   1.79033  -0.89148  -0.36750   1.47802  -1.99147   1.70043  -0.72248  -0.54733   1.59603  -2.00000   1.59603  -0.54733  -0.72248   1.70043  -1.99147   1.47802  -0.36750  -0.89148   1.79033  -1.96595   1.34739  -0.18454  -1.05286   1.86494  -1.92365   1.20527   0.00000  -1.20527   1.92365  -1.86494   1.05286   0.18454  -1.34739   1.96595  -1.79033   0.89148   0.36750  -1.47802   1.99147  -1.70043   0.72248   0.54733  -1.59603   2.00000     ... ... ..... ....... ......... ........... .............
E55 *    2.00000  -1.64999   0.72248   0.45790  -1.47802   1.98082  -1.79033   0.97321   0.18454  -1.27769   1.92365  -1.89632   1.20527  -0.09237  -1.05286   1.82959  -1.96595   1.41421  -0.36750  -0.80784   1.70043  -1.99787   1.59603  -0.63558  -0.54733   1.53867  -1.99147   1.74724  -0.89148  -0.27631   1.34739  -1.94688   1.86494  -1.13027   0.00000   1.13027  -1.86494   1.94688  -1.34739   0.27631   0.89148  -1.74724   1.99147  -1.53867   0.54733   0.63558  -1.59603   1.99787  -1.70043   0.80784   0.36750  -1.41421   1.96595  -1.82959   1.05286   0.09237  -1.20527   1.89632  -1.92365   1.27769  -0.18454  -0.97321   1.79033  -1.98082   1.47802  -0.45790  -0.72248   1.64999  -2.00000     ... ... ..... ....... ......... ........... .............
E56 *    2.00000  -1.70043   0.89148   0.18454  -1.20527   1.86494  -1.96595   1.47802  -0.54733  -0.54733   1.47802  -1.96595   1.86494  -1.20527   0.18454   0.89148  -1.70043   2.00000  -1.70043   0.89148   0.18454  -1.20527   1.86494  -1.96595   1.47802  -0.54733  -0.54733   1.47802  -1.96595   1.86494  -1.20527   0.18454   0.89148  -1.70043   2.00000  -1.70043   0.89148   0.18454  -1.20527   1.86494  -1.96595   1.47802  -0.54733  -0.54733   1.47802  -1.96595   1.86494  -1.20527   0.18454   0.89148  -1.70043   2.00000  -1.70043   0.89148   0.18454  -1.20527   1.86494  -1.96595   1.47802  -0.54733  -0.54733   1.47802  -1.96595   1.86494  -1.20527   0.18454   0.89148  -1.70043   2.00000     ... ... ..... ....... ......... ........... .............
E57 *    2.00000  -1.74724   1.05286  -0.09237  -0.89148   1.64999  -1.99147   1.82959  -1.20527   0.27631   0.72248  -1.53867   1.96595  -1.89632   1.34739  -0.45790  -0.54733   1.41421  -1.92365   1.94688  -1.47802   0.63558   0.36750  -1.27769   1.86494  -1.98082   1.59603  -0.80784  -0.18454   1.13027  -1.79033   1.99787  -1.70043   0.97321   0.00000  -0.97321   1.70043  -1.99787   1.79033  -1.13027   0.18454   0.80784  -1.59603   1.98082  -1.86494   1.27769  -0.36750  -0.63558   1.47802  -1.94688   1.92365  -1.41421   0.54733   0.45790  -1.34739   1.89632  -1.96595   1.53867  -0.72248  -0.27631   1.20527  -1.82959   1.99147  -1.64999   0.89148   0.09237  -1.05286   1.74724  -2.00000     ... ... ..... ....... ......... ........... .............
E58 *    2.00000  -1.79033   1.20527  -0.36750  -0.54733   1.34739  -1.86494   1.99147  -1.70043   1.05286  -0.18454  -0.72248   1.47802  -1.92365   1.96595  -1.59603   0.89148   0.00000  -0.89148   1.59603  -1.96595   1.92365  -1.47802   0.72248   0.18454  -1.05286   1.70043  -1.99147   1.86494  -1.34739   0.54733   0.36750  -1.20527   1.79033  -2.00000   1.79033  -1.20527   0.36750   0.54733  -1.34739   1.86494  -1.99147   1.70043  -1.05286   0.18454   0.72248  -1.47802   1.92365  -1.96595   1.59603  -0.89148   0.00000   0.89148  -1.59603   1.96595  -1.92365   1.47802  -0.72248  -0.18454   1.05286  -1.70043   1.99147  -1.86494   1.34739  -0.54733  -0.36750   1.20527  -1.79033   2.00000     ... ... ..... ....... ......... ........... .............
E59 *    2.00000  -1.82959   1.34739  -0.63558  -0.18454   0.97321  -1.59603   1.94688  -1.96595   1.64999  -1.05286   0.27631   0.54733  -1.27769   1.79033  -1.99787   1.86494  -1.41421   0.72248   0.09237  -0.89148   1.53867  -1.92365   1.98082  -1.70043   1.13027  -0.36750  -0.45790   1.20527  -1.74724   1.99147  -1.89632   1.47802  -0.80784   0.00000   0.80784  -1.47802   1.89632  -1.99147   1.74724  -1.20527   0.45790   0.36750  -1.13027   1.70043  -1.98082   1.92365  -1.53867   0.89148  -0.09237  -0.72248   1.41421  -1.86494   1.99787  -1.79033   1.27769  -0.54733  -0.27631   1.05286  -1.64999   1.96595  -1.94688   1.59603  -0.97321   0.18454   0.63558  -1.34739   1.82959  -2.00000     ... ... ..... ....... ......... ........... .............
E60 *    2.00000  -1.86494   1.47802  -0.89148   0.18454   0.54733  -1.20527   1.70043  -1.96595   1.96595  -1.70043   1.20527  -0.54733  -0.18454   0.89148  -1.47802   1.86494  -2.00000   1.86494  -1.47802   0.89148  -0.18454  -0.54733   1.20527  -1.70043   1.96595  -1.96595   1.70043  -1.20527   0.54733   0.18454  -0.89148   1.47802  -1.86494   2.00000  -1.86494   1.47802  -0.89148   0.18454   0.54733  -1.20527   1.70043  -1.96595   1.96595  -1.70043   1.20527  -0.54733  -0.18454   0.89148  -1.47802   1.86494  -2.00000   1.86494  -1.47802   0.89148  -0.18454  -0.54733   1.20527  -1.70043   1.96595  -1.96595   1.70043  -1.20527   0.54733   0.18454  -0.89148   1.47802  -1.86494   2.00000     ... ... ..... ....... ......... ........... .............
E61 *    2.00000  -1.89632   1.59603  -1.13027   0.54733   0.09237  -0.72248   1.27769  -1.70043   1.94688  -1.99147   1.82959  -1.47802   0.97321  -0.36750  -0.27631   0.89148  -1.41421   1.79033  -1.98082   1.96595  -1.74724   1.34739  -0.80784   0.18454   0.45790  -1.05286   1.53867  -1.86494   1.99787  -1.92365   1.64999  -1.20527   0.63558   0.00000  -0.63558   1.20527  -1.64999   1.92365  -1.99787   1.86494  -1.53867   1.05286  -0.45790  -0.18454   0.80784  -1.34739   1.74724  -1.96595   1.98082  -1.79033   1.41421  -0.89148   0.27631   0.36750  -0.97321   1.47802  -1.82959   1.99147  -1.94688   1.70043  -1.27769   0.72248  -0.09237  -0.54733   1.13027  -1.59603   1.89632  -2.00000     ... ... ..... ....... ......... ........... .............
E62 *    2.00000  -1.92365   1.70043  -1.34739   0.89148  -0.36750  -0.18454   0.72248  -1.20527   1.59603  -1.86494   1.99147  -1.96595   1.79033  -1.47802   1.05286  -0.54733   0.00000   0.54733  -1.05286   1.47802  -1.79033   1.96595  -1.99147   1.86494  -1.59603   1.20527  -0.72248   0.18454   0.36750  -0.89148   1.34739  -1.70043   1.92365  -2.00000   1.92365  -1.70043   1.34739  -0.89148   0.36750   0.18454  -0.72248   1.20527  -1.59603   1.86494  -1.99147   1.96595  -1.79033   1.47802  -1.05286   0.54733   0.00000  -0.54733   1.05286  -1.47802   1.79033  -1.96595   1.99147  -1.86494   1.59603  -1.20527   0.72248  -0.18454  -0.36750   0.89148  -1.34739   1.70043  -1.92365   2.00000     ... ... ..... ....... ......... ........... .............
E63 *    2.00000  -1.94688   1.79033  -1.53867   1.20527  -0.80784   0.36750   0.09237  -0.54733   0.97321  -1.34739   1.64999  -1.86494   1.98082  -1.99147   1.89632  -1.70043   1.41421  -1.05286   0.63558  -0.18454  -0.27631   0.72248  -1.13027   1.47802  -1.74724   1.92365  -1.99787   1.96595  -1.82959   1.59603  -1.27769   0.89148  -0.45790   0.00000   0.45790  -0.89148   1.27769  -1.59603   1.82959  -1.96595   1.99787  -1.92365   1.74724  -1.47802   1.13027  -0.72248   0.27631   0.18454  -0.63558   1.05286  -1.41421   1.70043  -1.89632   1.99147  -1.98082   1.86494  -1.64999   1.34739  -0.97321   0.54733  -0.09237  -0.36750   0.80784  -1.20527   1.53867  -1.79033   1.94688  -2.00000     ... ... ..... ....... ......... ........... ..TT.........
E64 *    2.00000  -1.96595   1.86494  -1.70043   1.47802  -1.20527   0.89148  -0.54733   0.18454   0.18454  -0.54733   0.89148  -1.20527   1.47802  -1.70043   1.86494  -1.96595   2.00000  -1.96595   1.86494  -1.70043   1.47802  -1.20527   0.89148  -0.54733   0.18454   0.18454  -0.54733   0.89148  -1.20527   1.47802  -1.70043   1.86494  -1.96595   2.00000  -1.96595   1.86494  -1.70043   1.47802  -1.20527   0.89148  -0.54733   0.18454   0.18454  -0.54733   0.89148  -1.20527   1.47802  -1.70043   1.86494  -1.96595   2.00000  -1.96595   1.86494  -1.70043   1.47802  -1.20527   0.89148  -0.54733   0.18454   0.18454  -0.54733   0.89148  -1.20527   1.47802  -1.70043   1.86494  -1.96595   2.00000     ... ... ..... ....... ......... ..TT....... .............
E65 *    2.00000  -1.98082   1.92365  -1.82959   1.70043  -1.53867   1.34739  -1.13027   0.89148  -0.63558   0.36750  -0.09237  -0.18454   0.45790  -0.72248   0.97321  -1.20527   1.41421  -1.59603   1.74724  -1.86494   1.94688  -1.99147   1.99787  -1.96595   1.89632  -1.79033   1.64999  -1.47802   1.27769  -1.05286   0.80784  -0.54733   0.27631   0.00000  -0.27631   0.54733  -0.80784   1.05286  -1.27769   1.47802  -1.64999   1.79033  -1.89632   1.96595  -1.99787   1.99147  -1.94688   1.86494  -1.74724   1.59603  -1.41421   1.20527  -0.97321   0.72248  -0.45790   0.18454   0.09237  -0.36750   0.63558  -0.89148   1.13027  -1.34739   1.53867  -1.70043   1.82959  -1.92365   1.98082  -2.00000     ... ... ..... ....... ..TT..... ........... ......TT.....
E66 *    2.00000  -1.99147   1.96595  -1.92365   1.86494  -1.79033   1.70043  -1.59603   1.47802  -1.34739   1.20527  -1.05286   0.89148  -0.72248   0.54733  -0.36750   0.18454   0.00000  -0.18454   0.36750  -0.54733   0.72248  -0.89148   1.05286  -1.20527   1.34739  -1.47802   1.59603  -1.70043   1.79033  -1.86494   1.92365  -1.96595   1.99147  -2.00000   1.99147  -1.96595   1.92365  -1.86494   1.79033  -1.70043   1.59603  -1.47802   1.34739  -1.20527   1.05286  -0.89148   0.72248  -0.54733   0.36750  -0.18454   0.00000   0.18454  -0.36750   0.54733  -0.72248   0.89148  -1.05286   1.20527  -1.34739   1.47802  -1.59603   1.70043  -1.79033   1.86494  -1.92365   1.96595  -1.99147   2.00000     ... ... ..... ..TT... ......... ......TT... .............
E67 *    2.00000  -1.99787   1.99147  -1.98082   1.96595  -1.94688   1.92365  -1.89632   1.86494  -1.82959   1.79033  -1.74724   1.70043  -1.64999   1.59603  -1.53867   1.47802  -1.41421   1.34739  -1.27769   1.20527  -1.13027   1.05286  -0.97321   0.89148  -0.80784   0.72248  -0.63558   0.54733  -0.45790   0.36750  -0.27631   0.18454  -0.09237   0.00000   0.09237  -0.18454   0.27631  -0.36750   0.45790  -0.54733   0.63558  -0.72248   0.80784  -0.89148   0.97321  -1.05286   1.13027  -1.20527   1.27769  -1.34739   1.41421  -1.47802   1.53867  -1.59603   1.64999  -1.70043   1.74724  -1.79033   1.82959  -1.86494   1.89632  -1.92365   1.94688  -1.96595   1.98082  -1.99147   1.99787  -2.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.

 Irrational character values:  1.997865949605 = 2*cos(2*π/136) = 2*cos(π/68) = √8+√2*√17−√17+√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17/2
                               1.991468352590 = 2*cos(4*π/136) = 2*cos(π/34) = √2*√17−√17+√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17/4
                               1.980820861750 = 2*cos(6*π/136) = 2*cos(3*π/68) = √8+√2*√17+√17+√34+2*√17+2*√17−3*√17+√34+2*√17−2*√34−2*√17/2
                               1.965946199368 = 2*cos(8*π/136) = 2*cos(π/17) = (1−√17+√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17)/8
                               1.946876108721 = 2*cos(10*π/136) = 2*cos(5*π/68) = √8+√2*√17+√17+√34+2*√17−2*√17−3*√17+√34+2*√17−2*√34−2*√17/2
                               1.923651286346 = 2*cos(12*π/136) = 2*cos(3*π/34) = √2*√17+√17+√34+2*√17+2*√17−3*√17+√34+2*√17−2*√34−2*√17/4
                               1.896321295182 = 2*cos(14*π/136) = 2*cos(7*π/68) = √8+√2*√17+√17−√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17/2
                               1.864944458809 = 2*cos(16*π/136) = 2*cos(2*π/17) = (−1+√17+√34−2*√17+2*√17+3*√17−√34−2*√17−2*√34+2*√17)/8
                               1.829587736976 = 2*cos(18*π/136) = 2*cos(9*π/68) = √8+√2*√17−√17−√34−2*√17+2*√17+3*√17−√34−2*√17−2*√34+2*√17/2
                               1.790326582710 = 2*cos(20*π/136) = 2*cos(5*π/34) = √2*√17+√17+√34+2*√17−2*√17−3*√17+√34+2*√17−2*√34−2*√17/4
                               1.747244781293 = 2*cos(22*π/136) = 2*cos(11*π/68) = √8+√2*√17+√17−√34+2*√17−2*√17−3*√17−√34+2*√17+2*√34−2*√17/2
                               1.700434271459 = 2*cos(24*π/136) = 2*cos(3*π/17) = (1+√17+√34+2*√17+2*√17−3*√17+√34+2*√17−2*√34−2*√17)/8
                               1.649994949197 = 2*cos(26*π/136) = 2*cos(13*π/68) = √8+√2*√17−√17+√34−2*√17−2*√17+3*√17+√34−2*√17+2*√34+2*√17/2
                               1.596034454560 = 2*cos(28*π/136) = 2*cos(7*π/34) = √2*√17+√17−√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17/4
                               1.538667941966 = 2*cos(30*π/136) = 2*cos(15*π/68) = √8+√2*√17−√17−√34−2*√17−2*√17+3*√17−√34−2*√17−2*√34+2*√17/2
                               1.478017834441 = 2*cos(32*π/136) = 2*cos(4*π/17) = (−1+√17−√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17)/8
                               1.414213562373 = 2*cos(34*π/136) = 2*cos(π/4) = √2
                               1.347391287293 = 2*cos(36*π/136) = 2*cos(9*π/34) = √2*√17−√17−√34−2*√17+2*√17+3*√17−√34−2*√17−2*√34+2*√17/4
                               1.277693611304 = 2*cos(38*π/136) = 2*cos(19*π/68) = √8−√2*√17−√17−√34−2*√17−2*√17+3*√17−√34−2*√17−2*√34+2*√17/2
                               1.205269272759 = 2*cos(40*π/136) = 2*cos(5*π/17) = (1+√17+√34+2*√17−2*√17−3*√17+√34+2*√17−2*√34−2*√17)/8
                               1.130272828845 = 2*cos(42*π/136) = 2*cos(21*π/68) = √8−√2*√17−√17+√34−2*√17−2*√17+3*√17+√34−2*√17+2*√34+2*√17/2
                               1.052864325755 = 2*cos(44*π/136) = 2*cos(11*π/34) = √2*√17+√17−√34+2*√17−2*√17−3*√17−√34+2*√17+2*√34−2*√17/4
                               0.973208957134 = 2*cos(46*π/136) = 2*cos(23*π/68) = √8−√2*√17+√17−√34+2*√17−2*√17−3*√17−√34+2*√17+2*√34−2*√17/2
                               0.891476711553 = 2*cos(48*π/136) = 2*cos(6*π/17) = (−1−√17+√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17)/8
                               0.807842009744 = 2*cos(50*π/136) = 2*cos(25*π/68) = √8−√2*√17−√17−√34−2*√17+2*√17+3*√17−√34−2*√17−2*√34+2*√17/2
                               0.722483332374 = 2*cos(52*π/136) = 2*cos(13*π/34) = √2*√17−√17+√34−2*√17−2*√17+3*√17+√34−2*√17+2*√34+2*√17/4
                               0.635582839164 = 2*cos(54*π/136) = 2*cos(27*π/68) = √8−√2*√17+√17−√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17/2
                               0.547325980144 = 2*cos(56*π/136) = 2*cos(7*π/17) = (1+√17−√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17)/8
                               0.457901099900 = 2*cos(58*π/136) = 2*cos(29*π/68) = √8−√2*√17+√17+√34+2*√17−2*√17−3*√17+√34+2*√17−2*√34−2*√17/2
                               0.367499035633 = 2*cos(60*π/136) = 2*cos(15*π/34) = √2*√17−√17−√34−2*√17−2*√17+3*√17−√34−2*√17−2*√34+2*√17/4
                               0.276312709904 = 2*cos(62*π/136) = 2*cos(31*π/68) = √8−√2*√17+√17+√34+2*√17+2*√17−3*√17+√34+2*√17−2*√34−2*√17/2
                               0.184536718927 = 2*cos(64*π/136) = 2*cos(8*π/17) = (−1+√17+√34−2*√17−2*√17+3*√17−√34−2*√17−2*√34+2*√17)/8
                               0.092366917291 = 2*cos(66*π/136) = 2*cos(33*π/68) = √8−√2*√17−√17+√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17/2



 Symmetry of Rotations and Cartesian products

A    R+d+g+i+k+m  Rz, z2, z4, z6 
B    p+f+h+j+l    z, z3, z5 
E1   p+f+h+j+l    {x, y}, {xz2, yz2}, {xz4, yz4} 
E2   d+g+i+k+m    {x2y2, xy}, {z2(x2y2), xyz2}, {z4(x2y2), xyz4} 
E3   f+h+j+l      {x(x2−3y2), y(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)} 
E4   g+i+k+m      {(x2y2)2−4x2y2, xy(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E5   h+j+l        {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)} 
E6   i+k+m        {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E7   j+l 
E8   k+m 
E9   l 
E10  m 
E59  m 
E60  l 
E61  k+m 
E62  j+l 
E63  i+k+m        {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E64  h+j+l        {z((x2y2)2−4x2y2), xyz(x2y2)} 
E65  g+i+k+m      {xz(x2−3y2), yz(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E66  f+h+j+l      {z(x2y2), xyz}, {z3(x2y2), xyz3} 
E67  R+d+g+i+k+m  {Rx, Ry}, {xz, yz}, {xz3, yz3}, {xz5, yz5} 

 Notes:

    α  The order of the S136 point group is 136, and the order of the principal axis (S136) is 136. The group has 69 irreducible representations.

    β  The S136 point group could also be named C136i, because the S136 axis is identical to a roto-inversion axis of order 136.

    γ  The S136 point group is isomorphic to C136.

    δ  The S136 point group is generated by one single symmetry element, S136. Therefore, it is a cyclic group.

    ε  The lowest nonvanishing multipole moment in S136 is 4 (quadrupole moment).

    ζ  This is an Abelian point group (the commutative law holds between all symmetry operations).
       The S136 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.

    η  Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters.
       These 134 cases have been combined into 67 two-dimensional representations that are no longer irreducible but have real-valued characters.
       Accordingly, 67 pairs of left and right rotations have been combined into one two-membered pseudo-class each.

    θ  The 67 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.

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

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

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

This Character Table for the S136 point group was created by Gernot Katzer.

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