D68h E 2 C68 2 C34 2 C68^3 2 C17 2 C68^5 2 C34^3 2 C68^7 2 C17^2 2 C68^9 2 C34^5 2 C68^11 2 C17^3 2 C68^13 2 C34^7 2 C68^15 2 C17^4 2 C4 2 C34^9 2 C68^19 2 C17^5 2 C68^21 2 C34^11 2 C68^23 2 C17^6 2 C68^25 2 C34^13 2 C68^27 2 C17^7 2 C68^29 2 C34^15 2 C68^31 2 C17^8 2 C68^33 C2 34 C2' 34 C2" i 2 S68 2 S34 2 S68^3 2 S17 2 S68^5 2 S34^3 2 S68^7 2 S17^2 2 S68^9 2 S34^5 2 S68^11 2 S17^3 2 S68^13 2 S34^7 2 S68^15 2 S17^4 2 S4 2 S34^9 2 S68^19 2 S17^5 2 S68^21 2 S34^11 2 S68^23 2 S17^6 2 S68^25 2 S34^13 2 S68^27 2 S17^7 2 S68^29 2 S34^15 2 S68^31 2 S17^8 2 S68^33 sh 34 sv 34 sd <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 ... ... ....T ....... ........T ........... ............T A2g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 ..T ... ..... ....... ......... ........... ............. B1g 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. B2g 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 ... ... ..... ....... ......... ........... ............. E1g 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 0.00000 0.00000 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 0.00000 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17g 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 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 0.00000 ... ... ..... ....... ......... ........... ............. E18g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E19g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E20g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E27g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E29g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E31g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E32g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E33g 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. A1u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. A2u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 1.00000 1.00000 ... ..T ..... ......T ......... ..........T ............. B1u 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 -1.00000 1.00000 ... ... ..... ....... ......... ........... ............. B2u 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. E1u 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 0.00000 0.00000 -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 0.00000 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E7u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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E22u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E27u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E29u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E31u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E32u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E33u 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.991468352590 = 2*cos(2*π/68) = 2*cos(π/34) = √2*√17−√17+√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17/4 1.965946199368 = 2*cos(4*π/68) = 2*cos(π/17) = (1−√17+√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17)/8 1.923651286346 = 2*cos(6*π/68) = 2*cos(3*π/34) = √2*√17+√17+√34+2*√17+2*√17−3*√17+√34+2*√17−2*√34−2*√17/4 1.864944458809 = 2*cos(8*π/68) = 2*cos(2*π/17) = (−1+√17+√34−2*√17+2*√17+3*√17−√34−2*√17−2*√34+2*√17)/8 1.790326582710 = 2*cos(10*π/68) = 2*cos(5*π/34) = √2*√17+√17+√34+2*√17−2*√17−3*√17+√34+2*√17−2*√34−2*√17/4 1.700434271459 = 2*cos(12*π/68) = 2*cos(3*π/17) = (1+√17+√34+2*√17+2*√17−3*√17+√34+2*√17−2*√34−2*√17)/8 1.596034454560 = 2*cos(14*π/68) = 2*cos(7*π/34) = √2*√17+√17−√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17/4 1.478017834441 = 2*cos(16*π/68) = 2*cos(4*π/17) = (−1+√17−√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17)/8 1.347391287293 = 2*cos(18*π/68) = 2*cos(9*π/34) = √2*√17−√17−√34−2*√17+2*√17+3*√17−√34−2*√17−2*√34+2*√17/4 1.205269272759 = 2*cos(20*π/68) = 2*cos(5*π/17) = (1+√17+√34+2*√17−2*√17−3*√17+√34+2*√17−2*√34−2*√17)/8 1.052864325755 = 2*cos(22*π/68) = 2*cos(11*π/34) = √2*√17+√17−√34+2*√17−2*√17−3*√17−√34+2*√17+2*√34−2*√17/4 0.891476711553 = 2*cos(24*π/68) = 2*cos(6*π/17) = (−1−√17+√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17)/8 0.722483332374 = 2*cos(26*π/68) = 2*cos(13*π/34) = √2*√17−√17+√34−2*√17−2*√17+3*√17+√34−2*√17+2*√34+2*√17/4 0.547325980144 = 2*cos(28*π/68) = 2*cos(7*π/17) = (1+√17−√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17)/8 0.367499035633 = 2*cos(30*π/68) = 2*cos(15*π/34) = √2*√17−√17−√34−2*√17−2*√17+3*√17−√34−2*√17−2*√34+2*√17/4 0.184536718927 = 2*cos(32*π/68) = 2*cos(8*π/17) = (−1+√17+√34−2*√17−2*√17+3*√17−√34−2*√17−2*√34+2*√17)/8 Symmetry of Rotations and Cartesian products A1g d+g+i+k+m z2, z4, z6 A2g R Rz E1g R+d+g+i+k+m {Rx, Ry}, {xz, yz}, {xz3, yz3}, {xz5, yz5} E2g d+g+i+k+m {x2−y2, xy}, {z2(x2−y2), xyz2}, {z4(x2−y2), xyz4} E3g g+i+k+m {xz(x2−3y2), yz(3x2−y2)}, {xz3(x2−3y2), yz3(3x2−y2)} E4g g+i+k+m {(x2−y2)2−4x2y2, xy(x2−y2)}, {z2((x2−y2)2−4x2y2), xyz2(x2−y2)} E5g i+k+m {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2−y2)((5−2√5)x2−y2)} E6g i+k+m {x2(x2−3y2)2−y2(3x2−y2)2, xy(x2−3y2)(3x2−y2)} E7g k+m E8g k+m E9g m E10g m A2u p+f+h+j+l z, z3, z5 E1u p+f+h+j+l {x, y}, {xz2, yz2}, {xz4, yz4} E2u f+h+j+l {z(x2−y2), xyz}, {z3(x2−y2), xyz3} E3u f+h+j+l {x(x2−3y2), y(3x2−y2)}, {xz2(x2−3y2), yz2(3x2−y2)} E4u h+j+l {z((x2−y2)2−4x2y2), xyz(x2−y2)} E5u h+j+l {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2−y2)((5−2√5)x2−y2)} E6u j+l E7u j+l E8u l E9u l Notes: α The order of the D68h point group is 272, and the order of the principal axis (C68) is 68. The group has 74 irreducible representations. β The D68h point group is generated by three symmetry elements that are canonically chosen C68, C2′ and i. Other choices include σh instead of i, or any of C2″, σv or σd instead of C2′. Also, some ternary combinations of C2′, C2″, σv and σd act as generators. Lastly, the S68 can be chosen, together with i or σh and any one of C2′, C2″, σv or σd. γ There are two different sets of twofold symmetry axes perpendicular to the principal axis (z axis in standard orientation). By convention, the set denoted as C2′ contains both the x and y axes. δ There are two different sets of symmetry planes containing the principal axis (z axis in standard orientation). By convention, the set denoted as σv contains both the xz and the yz planes. ε The lowest nonvanishing multipole moment in D68h is 4 (quadrupole moment). ζ This point group is non-Abelian (some symmetry operations are not commutative). Therefore, the character table contains multi-membered classes and degenerate irreducible representations. η Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6. These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1. All characters are algebraic integers of a degree much less than half the order of the principal axis. θ 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. ι 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.
D66h | ||
D67h | ||
C68 C68v C68h D68 | D68h | D68d S68 |
D69h | ||
D70h |
This Character Table for the D68h point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.