D65d E 2 C65 2 C65^2 2 C65^3 2 C65^4 2 C13 2 C65^6 2 C65^7 2 C65^8 2 C65^9 2 C13^2 2 C65^11 2 C65^12 2 C5 2 C65^14 2 C13^3 2 C65^16 2 C65^17 2 C65^18 2 C65^19 2 C13^4 2 C65^21 2 C65^22 2 C65^23 2 C65^24 2 C13^5 2 C5^2 2 C65^27 2 C65^28 2 C65^29 2 C13^6 2 C65^31 2 C65^32 65 C2' i 2 S130 2 S130^3 2 S26 2 S130^7 2 S130^9 2 S130^11 2 S10 2 S26^3 2 S130^17 2 S130^19 2 S130^21 2 S130^23 2 S26^5 2 S130^27 2 S130^29 2 S130^31 2 S130^33 2 S26^7 2 S130^37 2 S10^3 2 S130^41 2 S130^43 2 S26^9 2 S130^47 2 S130^49 2 S130^51 2 S130^53 2 S26^11 2 S130^57 2 S130^59 2 S130^61 2 S130^63 65 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 ... ... ....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 ..T ... ..... ....... ......... ........... ............. E1g 2.00000 1.99066 1.96274 1.91649 1.85235 1.77091 1.67294 1.55935 1.43120 1.28968 1.13613 0.97197 0.79873 0.61803 0.43157 0.24107 0.04833 -0.14487 -0.33671 -0.52541 -0.70921 -0.88638 -1.05528 -1.21433 -1.36203 -1.49702 -1.61803 -1.72394 -1.81375 -1.88662 -1.94188 -1.97901 -1.99766 0.00000 2.00000 -1.99766 -1.97901 -1.94188 -1.88662 -1.81375 -1.72394 -1.61803 -1.49702 -1.36203 -1.21433 -1.05528 -0.88638 -0.70921 -0.52541 -0.33671 -0.14487 0.04833 0.24107 0.43157 0.61803 0.79873 0.97197 1.13613 1.28968 1.43120 1.55935 1.67294 1.77091 1.85235 1.91649 1.96274 1.99066 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.96274 1.85235 1.67294 1.43120 1.13613 0.79873 0.43157 0.04833 -0.33671 -0.70921 -1.05528 -1.36203 -1.61803 -1.81375 -1.94188 -1.99766 -1.97901 -1.88662 -1.72394 -1.49702 -1.21433 -0.88638 -0.52541 -0.14487 0.24107 0.61803 0.97197 1.28968 1.55935 1.77091 1.91649 1.99066 0.00000 2.00000 1.99066 1.91649 1.77091 1.55935 1.28968 0.97197 0.61803 0.24107 -0.14487 -0.52541 -0.88638 -1.21433 -1.49702 -1.72394 -1.88662 -1.97901 -1.99766 -1.94188 -1.81375 -1.61803 -1.36203 -1.05528 -0.70921 -0.33671 0.04833 0.43157 0.79873 1.13613 1.43120 1.67294 1.85235 1.96274 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.91649 1.67294 1.28968 0.79873 0.24107 -0.33671 -0.88638 -1.36203 -1.72394 -1.94188 -1.99766 -1.88662 -1.61803 -1.21433 -0.70921 -0.14487 0.43157 0.97197 1.43120 1.77091 1.96274 1.99066 1.85235 1.55935 1.13613 0.61803 0.04833 -0.52541 -1.05528 -1.49702 -1.81375 -1.97901 0.00000 2.00000 -1.97901 -1.81375 -1.49702 -1.05528 -0.52541 0.04833 0.61803 1.13613 1.55935 1.85235 1.99066 1.96274 1.77091 1.43120 0.97197 0.43157 -0.14487 -0.70921 -1.21433 -1.61803 -1.88662 -1.99766 -1.94188 -1.72394 -1.36203 -0.88638 -0.33671 0.24107 0.79873 1.28968 1.67294 1.91649 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.85235 1.43120 0.79873 0.04833 -0.70921 -1.36203 -1.81375 -1.99766 -1.88662 -1.49702 -0.88638 -0.14487 0.61803 1.28968 1.77091 1.99066 1.91649 1.55935 0.97197 0.24107 -0.52541 -1.21433 -1.72394 -1.97901 -1.94188 -1.61803 -1.05528 -0.33671 0.43157 1.13613 1.67294 1.96274 0.00000 2.00000 1.96274 1.67294 1.13613 0.43157 -0.33671 -1.05528 -1.61803 -1.94188 -1.97901 -1.72394 -1.21433 -0.52541 0.24107 0.97197 1.55935 1.91649 1.99066 1.77091 1.28968 0.61803 -0.14487 -0.88638 -1.49702 -1.88662 -1.99766 -1.81375 -1.36203 -0.70921 0.04833 0.79873 1.43120 1.85235 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 0.00000 2.00000 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.67294 0.79873 -0.33671 -1.36203 -1.94188 -1.88662 -1.21433 -0.14487 0.97197 1.77091 1.99066 1.55935 0.61803 -0.52541 -1.49702 -1.97901 -1.81375 -1.05528 0.04833 1.13613 1.85235 1.96274 1.43120 0.43157 -0.70921 -1.61803 -1.99766 -1.72394 -0.88638 0.24107 1.28968 1.91649 0.00000 2.00000 1.91649 1.28968 0.24107 -0.88638 -1.72394 -1.99766 -1.61803 -0.70921 0.43157 1.43120 1.96274 1.85235 1.13613 0.04833 -1.05528 -1.81375 -1.97901 -1.49702 -0.52541 0.61803 1.55935 1.99066 1.77091 0.97197 -0.14487 -1.21433 -1.88662 -1.94188 -1.36203 -0.33671 0.79873 1.67294 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.55935 0.43157 -0.88638 -1.81375 -1.94188 -1.21433 0.04833 1.28968 1.96274 1.77091 0.79873 -0.52541 -1.61803 -1.99766 -1.49702 -0.33671 0.97197 1.85235 1.91649 1.13613 -0.14487 -1.36203 -1.97901 -1.72394 -0.70921 0.61803 1.67294 1.99066 1.43120 0.24107 -1.05528 -1.88662 0.00000 2.00000 -1.88662 -1.05528 0.24107 1.43120 1.99066 1.67294 0.61803 -0.70921 -1.72394 -1.97901 -1.36203 -0.14487 1.13613 1.91649 1.85235 0.97197 -0.33671 -1.49702 -1.99766 -1.61803 -0.52541 0.79873 1.77091 1.96274 1.28968 0.04833 -1.21433 -1.94188 -1.81375 -0.88638 0.43157 1.55935 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.43120 0.04833 -1.36203 -1.99766 -1.49702 -0.14487 1.28968 1.99066 1.55935 0.24107 -1.21433 -1.97901 -1.61803 -0.33671 1.13613 1.96274 1.67294 0.43157 -1.05528 -1.94188 -1.72394 -0.52541 0.97197 1.91649 1.77091 0.61803 -0.88638 -1.88662 -1.81375 -0.70921 0.79873 1.85235 0.00000 2.00000 1.85235 0.79873 -0.70921 -1.81375 -1.88662 -0.88638 0.61803 1.77091 1.91649 0.97197 -0.52541 -1.72394 -1.94188 -1.05528 0.43157 1.67294 1.96274 1.13613 -0.33671 -1.61803 -1.97901 -1.21433 0.24107 1.55935 1.99066 1.28968 -0.14487 -1.49702 -1.99766 -1.36203 0.04833 1.43120 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.28968 -0.33671 -1.72394 -1.88662 -0.70921 0.97197 1.96274 1.55935 0.04833 -1.49702 -1.97901 -1.05528 0.61803 1.85235 1.77091 0.43157 -1.21433 -1.99766 -1.36203 0.24107 1.67294 1.91649 0.79873 -0.88638 -1.94188 -1.61803 -0.14487 1.43120 1.99066 1.13613 -0.52541 -1.81375 0.00000 2.00000 -1.81375 -0.52541 1.13613 1.99066 1.43120 -0.14487 -1.61803 -1.94188 -0.88638 0.79873 1.91649 1.67294 0.24107 -1.36203 -1.99766 -1.21433 0.43157 1.77091 1.85235 0.61803 -1.05528 -1.97901 -1.49702 0.04833 1.55935 1.96274 0.97197 -0.70921 -1.88662 -1.72394 -0.33671 1.28968 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 0.00000 2.00000 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 0.97197 -1.05528 -1.99766 -0.88638 1.13613 1.99066 0.79873 -1.21433 -1.97901 -0.70921 1.28968 1.96274 0.61803 -1.36203 -1.94188 -0.52541 1.43120 1.91649 0.43157 -1.49702 -1.88662 -0.33671 1.55935 1.85235 0.24107 -1.61803 -1.81375 -0.14487 1.67294 1.77091 0.04833 -1.72394 0.00000 2.00000 -1.72394 0.04833 1.77091 1.67294 -0.14487 -1.81375 -1.61803 0.24107 1.85235 1.55935 -0.33671 -1.88662 -1.49702 0.43157 1.91649 1.43120 -0.52541 -1.94188 -1.36203 0.61803 1.96274 1.28968 -0.70921 -1.97901 -1.21433 0.79873 1.99066 1.13613 -0.88638 -1.99766 -1.05528 0.97197 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 0.79873 -1.36203 -1.88662 -0.14487 1.77091 1.55935 -0.52541 -1.97901 -1.05528 1.13613 1.96274 0.43157 -1.61803 -1.72394 0.24107 1.91649 1.28968 -0.88638 -1.99766 -0.70921 1.43120 1.85235 0.04833 -1.81375 -1.49702 0.61803 1.99066 0.97197 -1.21433 -1.94188 -0.33671 1.67294 0.00000 2.00000 1.67294 -0.33671 -1.94188 -1.21433 0.97197 1.99066 0.61803 -1.49702 -1.81375 0.04833 1.85235 1.43120 -0.70921 -1.99766 -0.88638 1.28968 1.91649 0.24107 -1.72394 -1.61803 0.43157 1.96274 1.13613 -1.05528 -1.97901 -0.52541 1.55935 1.77091 -0.14487 -1.88662 -1.36203 0.79873 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 0.00000 2.00000 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 0.43157 -1.81375 -1.21433 1.28968 1.77091 -0.52541 -1.99766 -0.33671 1.85235 1.13613 -1.36203 -1.72394 0.61803 1.99066 0.24107 -1.88662 -1.05528 1.43120 1.67294 -0.70921 -1.97901 -0.14487 1.91649 0.97197 -1.49702 -1.61803 0.79873 1.96274 0.04833 -1.94188 -0.88638 1.55935 0.00000 2.00000 1.55935 -0.88638 -1.94188 0.04833 1.96274 0.79873 -1.61803 -1.49702 0.97197 1.91649 -0.14487 -1.97901 -0.70921 1.67294 1.43120 -1.05528 -1.88662 0.24107 1.99066 0.61803 -1.72394 -1.36203 1.13613 1.85235 -0.33671 -1.99766 -0.52541 1.77091 1.28968 -1.21433 -1.81375 0.43157 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 0.00000 2.00000 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.04833 -1.99766 -0.14487 1.99066 0.24107 -1.97901 -0.33671 1.96274 0.43157 -1.94188 -0.52541 1.91649 0.61803 -1.88662 -0.70921 1.85235 0.79873 -1.81375 -0.88638 1.77091 0.97197 -1.72394 -1.05528 1.67294 1.13613 -1.61803 -1.21433 1.55935 1.28968 -1.49702 -1.36203 1.43120 0.00000 2.00000 1.43120 -1.36203 -1.49702 1.28968 1.55935 -1.21433 -1.61803 1.13613 1.67294 -1.05528 -1.72394 0.97197 1.77091 -0.88638 -1.81375 0.79873 1.85235 -0.70921 -1.88662 0.61803 1.91649 -0.52541 -1.94188 0.43157 1.96274 -0.33671 -1.97901 0.24107 1.99066 -0.14487 -1.99766 0.04833 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 -0.14487 -1.97901 0.43157 1.91649 -0.70921 -1.81375 0.97197 1.67294 -1.21433 -1.49702 1.43120 1.28968 -1.61803 -1.05528 1.77091 0.79873 -1.88662 -0.52541 1.96274 0.24107 -1.99766 0.04833 1.99066 -0.33671 -1.94188 0.61803 1.85235 -0.88638 -1.72394 1.13613 1.55935 -1.36203 0.00000 2.00000 -1.36203 1.55935 1.13613 -1.72394 -0.88638 1.85235 0.61803 -1.94188 -0.33671 1.99066 0.04833 -1.99766 0.24107 1.96274 -0.52541 -1.88662 0.79873 1.77091 -1.05528 -1.61803 1.28968 1.43120 -1.49702 -1.21433 1.67294 0.97197 -1.81375 -0.70921 1.91649 0.43157 -1.97901 -0.14487 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 -0.33671 -1.88662 0.97197 1.55935 -1.49702 -1.05528 1.85235 0.43157 -1.99766 0.24107 1.91649 -0.88638 -1.61803 1.43120 1.13613 -1.81375 -0.52541 1.99066 -0.14487 -1.94188 0.79873 1.67294 -1.36203 -1.21433 1.77091 0.61803 -1.97901 0.04833 1.96274 -0.70921 -1.72394 1.28968 0.00000 2.00000 1.28968 -1.72394 -0.70921 1.96274 0.04833 -1.97901 0.61803 1.77091 -1.21433 -1.36203 1.67294 0.79873 -1.94188 -0.14487 1.99066 -0.52541 -1.81375 1.13613 1.43120 -1.61803 -0.88638 1.91649 0.24107 -1.99766 0.43157 1.85235 -1.05528 -1.49702 1.55935 0.97197 -1.88662 -0.33671 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 -0.52541 -1.72394 1.43120 0.97197 -1.94188 0.04833 1.91649 -1.05528 -1.36203 1.77091 0.43157 -1.99766 0.61803 1.67294 -1.49702 -0.88638 1.96274 -0.14487 -1.88662 1.13613 1.28968 -1.81375 -0.33671 1.99066 -0.70921 -1.61803 1.55935 0.79873 -1.97901 0.24107 1.85235 -1.21433 0.00000 2.00000 -1.21433 1.85235 0.24107 -1.97901 0.79873 1.55935 -1.61803 -0.70921 1.99066 -0.33671 -1.81375 1.28968 1.13613 -1.88662 -0.14487 1.96274 -0.88638 -1.49702 1.67294 0.61803 -1.99766 0.43157 1.77091 -1.36203 -1.05528 1.91649 0.04833 -1.94188 0.97197 1.43120 -1.72394 -0.52541 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 0.00000 2.00000 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 -0.88638 -1.21433 1.96274 -0.52541 -1.49702 1.85235 -0.14487 -1.72394 1.67294 0.24107 -1.88662 1.43120 0.61803 -1.97901 1.13613 0.97197 -1.99766 0.79873 1.28968 -1.94188 0.43157 1.55935 -1.81375 0.04833 1.77091 -1.61803 -0.33671 1.91649 -1.36203 -0.70921 1.99066 -1.05528 0.00000 2.00000 -1.05528 1.99066 -0.70921 -1.36203 1.91649 -0.33671 -1.61803 1.77091 0.04833 -1.81375 1.55935 0.43157 -1.94188 1.28968 0.79873 -1.99766 0.97197 1.13613 -1.97901 0.61803 1.43120 -1.88662 0.24107 1.67294 -1.72394 -0.14487 1.85235 -1.49702 -0.52541 1.96274 -1.21433 -0.88638 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 -1.05528 -0.88638 1.99066 -1.21433 -0.70921 1.96274 -1.36203 -0.52541 1.91649 -1.49702 -0.33671 1.85235 -1.61803 -0.14487 1.77091 -1.72394 0.04833 1.67294 -1.81375 0.24107 1.55935 -1.88662 0.43157 1.43120 -1.94188 0.61803 1.28968 -1.97901 0.79873 1.13613 -1.99766 0.97197 0.00000 2.00000 0.97197 -1.99766 1.13613 0.79873 -1.97901 1.28968 0.61803 -1.94188 1.43120 0.43157 -1.88662 1.55935 0.24107 -1.81375 1.67294 0.04833 -1.72394 1.77091 -0.14487 -1.61803 1.85235 -0.33671 -1.49702 1.91649 -0.52541 -1.36203 1.96274 -0.70921 -1.21433 1.99066 -0.88638 -1.05528 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -1.21433 -0.52541 1.85235 -1.72394 0.24107 1.43120 -1.97901 0.97197 0.79873 -1.94188 1.55935 0.04833 -1.61803 1.91649 -0.70921 -1.05528 1.99066 -1.36203 -0.33671 1.77091 -1.81375 0.43157 1.28968 -1.99766 1.13613 0.61803 -1.88662 1.67294 -0.14487 -1.49702 1.96274 -0.88638 0.00000 2.00000 -0.88638 1.96274 -1.49702 -0.14487 1.67294 -1.88662 0.61803 1.13613 -1.99766 1.28968 0.43157 -1.81375 1.77091 -0.33671 -1.36203 1.99066 -1.05528 -0.70921 1.91649 -1.61803 0.04833 1.55935 -1.94188 0.79873 0.97197 -1.97901 1.43120 0.24107 -1.72394 1.85235 -0.52541 -1.21433 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -1.36203 -0.14487 1.55935 -1.97901 1.13613 0.43157 -1.72394 1.91649 -0.88638 -0.70921 1.85235 -1.81375 0.61803 0.97197 -1.94188 1.67294 -0.33671 -1.21433 1.99066 -1.49702 0.04833 1.43120 -1.99766 1.28968 0.24107 -1.61803 1.96274 -1.05528 -0.52541 1.77091 -1.88662 0.79873 0.00000 2.00000 0.79873 -1.88662 1.77091 -0.52541 -1.05528 1.96274 -1.61803 0.24107 1.28968 -1.99766 1.43120 0.04833 -1.49702 1.99066 -1.21433 -0.33671 1.67294 -1.94188 0.97197 0.61803 -1.81375 1.85235 -0.70921 -0.88638 1.91649 -1.72394 0.43157 1.13613 -1.97901 1.55935 -0.14487 -1.36203 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 0.00000 2.00000 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.00000 2.00000 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -1.72394 0.97197 0.04833 -1.05528 1.77091 -1.99766 1.67294 -0.88638 -0.14487 1.13613 -1.81375 1.99066 -1.61803 0.79873 0.24107 -1.21433 1.85235 -1.97901 1.55935 -0.70921 -0.33671 1.28968 -1.88662 1.96274 -1.49702 0.61803 0.43157 -1.36203 1.91649 -1.94188 1.43120 -0.52541 0.00000 2.00000 -0.52541 1.43120 -1.94188 1.91649 -1.36203 0.43157 0.61803 -1.49702 1.96274 -1.88662 1.28968 -0.33671 -0.70921 1.55935 -1.97901 1.85235 -1.21433 0.24107 0.79873 -1.61803 1.99066 -1.81375 1.13613 -0.14487 -0.88638 1.67294 -1.99766 1.77091 -1.05528 0.04833 0.97197 -1.72394 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -1.81375 1.28968 -0.52541 -0.33671 1.13613 -1.72394 1.99066 -1.88662 1.43120 -0.70921 -0.14487 0.97197 -1.61803 1.96274 -1.94188 1.55935 -0.88638 0.04833 0.79873 -1.49702 1.91649 -1.97901 1.67294 -1.05528 0.24107 0.61803 -1.36203 1.85235 -1.99766 1.77091 -1.21433 0.43157 0.00000 2.00000 0.43157 -1.21433 1.77091 -1.99766 1.85235 -1.36203 0.61803 0.24107 -1.05528 1.67294 -1.97901 1.91649 -1.49702 0.79873 0.04833 -0.88638 1.55935 -1.94188 1.96274 -1.61803 0.97197 -0.14487 -0.70921 1.43120 -1.88662 1.99066 -1.72394 1.13613 -0.33671 -0.52541 1.28968 -1.81375 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -1.88662 1.55935 -1.05528 0.43157 0.24107 -0.88638 1.43120 -1.81375 1.99066 -1.94188 1.67294 -1.21433 0.61803 0.04833 -0.70921 1.28968 -1.72394 1.96274 -1.97901 1.77091 -1.36203 0.79873 -0.14487 -0.52541 1.13613 -1.61803 1.91649 -1.99766 1.85235 -1.49702 0.97197 -0.33671 0.00000 2.00000 -0.33671 0.97197 -1.49702 1.85235 -1.99766 1.91649 -1.61803 1.13613 -0.52541 -0.14487 0.79873 -1.36203 1.77091 -1.97901 1.96274 -1.72394 1.28968 -0.70921 0.04833 0.61803 -1.21433 1.67294 -1.94188 1.99066 -1.81375 1.43120 -0.88638 0.24107 0.43157 -1.05528 1.55935 -1.88662 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.00000 2.00000 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.97901 1.91649 -1.81375 1.67294 -1.49702 1.28968 -1.05528 0.79873 -0.52541 0.24107 0.04833 -0.33671 0.61803 -0.88638 1.13613 -1.36203 1.55935 -1.72394 1.85235 -1.94188 1.99066 -1.99766 1.96274 -1.88662 1.77091 -1.61803 1.43120 -1.21433 0.97197 -0.70921 0.43157 -0.14487 0.00000 2.00000 -0.14487 0.43157 -0.70921 0.97197 -1.21433 1.43120 -1.61803 1.77091 -1.88662 1.96274 -1.99766 1.99066 -1.94188 1.85235 -1.72394 1.55935 -1.36203 1.13613 -0.88638 0.61803 -0.33671 0.04833 0.24107 -0.52541 0.79873 -1.05528 1.28968 -1.49702 1.67294 -1.81375 1.91649 -1.97901 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.99766 1.99066 -1.97901 1.96274 -1.94188 1.91649 -1.88662 1.85235 -1.81375 1.77091 -1.72394 1.67294 -1.61803 1.55935 -1.49702 1.43120 -1.36203 1.28968 -1.21433 1.13613 -1.05528 0.97197 -0.88638 0.79873 -0.70921 0.61803 -0.52541 0.43157 -0.33671 0.24107 -0.14487 0.04833 0.00000 2.00000 0.04833 -0.14487 0.24107 -0.33671 0.43157 -0.52541 0.61803 -0.70921 0.79873 -0.88638 0.97197 -1.05528 1.13613 -1.21433 1.28968 -1.36203 1.43120 -1.49702 1.55935 -1.61803 1.67294 -1.72394 1.77091 -1.81375 1.85235 -1.88662 1.91649 -1.94188 1.96274 -1.97901 1.99066 -1.99766 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 ... ... ..... ....... ......... ........... ............. 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 ... ..T ..... ......T ......... ..........T ............. E1u 2.00000 1.99066 1.96274 1.91649 1.85235 1.77091 1.67294 1.55935 1.43120 1.28968 1.13613 0.97197 0.79873 0.61803 0.43157 0.24107 0.04833 -0.14487 -0.33671 -0.52541 -0.70921 -0.88638 -1.05528 -1.21433 -1.36203 -1.49702 -1.61803 -1.72394 -1.81375 -1.88662 -1.94188 -1.97901 -1.99766 0.00000 -2.00000 1.99766 1.97901 1.94188 1.88662 1.81375 1.72394 1.61803 1.49702 1.36203 1.21433 1.05528 0.88638 0.70921 0.52541 0.33671 0.14487 -0.04833 -0.24107 -0.43157 -0.61803 -0.79873 -0.97197 -1.13613 -1.28968 -1.43120 -1.55935 -1.67294 -1.77091 -1.85235 -1.91649 -1.96274 -1.99066 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 2.00000 1.96274 1.85235 1.67294 1.43120 1.13613 0.79873 0.43157 0.04833 -0.33671 -0.70921 -1.05528 -1.36203 -1.61803 -1.81375 -1.94188 -1.99766 -1.97901 -1.88662 -1.72394 -1.49702 -1.21433 -0.88638 -0.52541 -0.14487 0.24107 0.61803 0.97197 1.28968 1.55935 1.77091 1.91649 1.99066 0.00000 -2.00000 -1.99066 -1.91649 -1.77091 -1.55935 -1.28968 -0.97197 -0.61803 -0.24107 0.14487 0.52541 0.88638 1.21433 1.49702 1.72394 1.88662 1.97901 1.99766 1.94188 1.81375 1.61803 1.36203 1.05528 0.70921 0.33671 -0.04833 -0.43157 -0.79873 -1.13613 -1.43120 -1.67294 -1.85235 -1.96274 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 2.00000 1.91649 1.67294 1.28968 0.79873 0.24107 -0.33671 -0.88638 -1.36203 -1.72394 -1.94188 -1.99766 -1.88662 -1.61803 -1.21433 -0.70921 -0.14487 0.43157 0.97197 1.43120 1.77091 1.96274 1.99066 1.85235 1.55935 1.13613 0.61803 0.04833 -0.52541 -1.05528 -1.49702 -1.81375 -1.97901 0.00000 -2.00000 1.97901 1.81375 1.49702 1.05528 0.52541 -0.04833 -0.61803 -1.13613 -1.55935 -1.85235 -1.99066 -1.96274 -1.77091 -1.43120 -0.97197 -0.43157 0.14487 0.70921 1.21433 1.61803 1.88662 1.99766 1.94188 1.72394 1.36203 0.88638 0.33671 -0.24107 -0.79873 -1.28968 -1.67294 -1.91649 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 2.00000 1.85235 1.43120 0.79873 0.04833 -0.70921 -1.36203 -1.81375 -1.99766 -1.88662 -1.49702 -0.88638 -0.14487 0.61803 1.28968 1.77091 1.99066 1.91649 1.55935 0.97197 0.24107 -0.52541 -1.21433 -1.72394 -1.97901 -1.94188 -1.61803 -1.05528 -0.33671 0.43157 1.13613 1.67294 1.96274 0.00000 -2.00000 -1.96274 -1.67294 -1.13613 -0.43157 0.33671 1.05528 1.61803 1.94188 1.97901 1.72394 1.21433 0.52541 -0.24107 -0.97197 -1.55935 -1.91649 -1.99066 -1.77091 -1.28968 -0.61803 0.14487 0.88638 1.49702 1.88662 1.99766 1.81375 1.36203 0.70921 -0.04833 -0.79873 -1.43120 -1.85235 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 0.00000 -2.00000 1.94188 1.49702 0.70921 -0.24107 -1.13613 -1.77091 -2.00000 -1.77091 -1.13613 -0.24107 0.70921 1.49702 1.94188 1.94188 1.49702 0.70921 -0.24107 -1.13613 -1.77091 -2.00000 -1.77091 -1.13613 -0.24107 0.70921 1.49702 1.94188 1.94188 1.49702 0.70921 -0.24107 -1.13613 -1.77091 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 2.00000 1.67294 0.79873 -0.33671 -1.36203 -1.94188 -1.88662 -1.21433 -0.14487 0.97197 1.77091 1.99066 1.55935 0.61803 -0.52541 -1.49702 -1.97901 -1.81375 -1.05528 0.04833 1.13613 1.85235 1.96274 1.43120 0.43157 -0.70921 -1.61803 -1.99766 -1.72394 -0.88638 0.24107 1.28968 1.91649 0.00000 -2.00000 -1.91649 -1.28968 -0.24107 0.88638 1.72394 1.99766 1.61803 0.70921 -0.43157 -1.43120 -1.96274 -1.85235 -1.13613 -0.04833 1.05528 1.81375 1.97901 1.49702 0.52541 -0.61803 -1.55935 -1.99066 -1.77091 -0.97197 0.14487 1.21433 1.88662 1.94188 1.36203 0.33671 -0.79873 -1.67294 0.00000 ... ... ..... ....... ......... ........... ............. E7u 2.00000 1.55935 0.43157 -0.88638 -1.81375 -1.94188 -1.21433 0.04833 1.28968 1.96274 1.77091 0.79873 -0.52541 -1.61803 -1.99766 -1.49702 -0.33671 0.97197 1.85235 1.91649 1.13613 -0.14487 -1.36203 -1.97901 -1.72394 -0.70921 0.61803 1.67294 1.99066 1.43120 0.24107 -1.05528 -1.88662 0.00000 -2.00000 1.88662 1.05528 -0.24107 -1.43120 -1.99066 -1.67294 -0.61803 0.70921 1.72394 1.97901 1.36203 0.14487 -1.13613 -1.91649 -1.85235 -0.97197 0.33671 1.49702 1.99766 1.61803 0.52541 -0.79873 -1.77091 -1.96274 -1.28968 -0.04833 1.21433 1.94188 1.81375 0.88638 -0.43157 -1.55935 0.00000 ... ... ..... ....... ......... ........... ............. E8u 2.00000 1.43120 0.04833 -1.36203 -1.99766 -1.49702 -0.14487 1.28968 1.99066 1.55935 0.24107 -1.21433 -1.97901 -1.61803 -0.33671 1.13613 1.96274 1.67294 0.43157 -1.05528 -1.94188 -1.72394 -0.52541 0.97197 1.91649 1.77091 0.61803 -0.88638 -1.88662 -1.81375 -0.70921 0.79873 1.85235 0.00000 -2.00000 -1.85235 -0.79873 0.70921 1.81375 1.88662 0.88638 -0.61803 -1.77091 -1.91649 -0.97197 0.52541 1.72394 1.94188 1.05528 -0.43157 -1.67294 -1.96274 -1.13613 0.33671 1.61803 1.97901 1.21433 -0.24107 -1.55935 -1.99066 -1.28968 0.14487 1.49702 1.99766 1.36203 -0.04833 -1.43120 0.00000 ... ... ..... ....... ......... ........... ............. E9u 2.00000 1.28968 -0.33671 -1.72394 -1.88662 -0.70921 0.97197 1.96274 1.55935 0.04833 -1.49702 -1.97901 -1.05528 0.61803 1.85235 1.77091 0.43157 -1.21433 -1.99766 -1.36203 0.24107 1.67294 1.91649 0.79873 -0.88638 -1.94188 -1.61803 -0.14487 1.43120 1.99066 1.13613 -0.52541 -1.81375 0.00000 -2.00000 1.81375 0.52541 -1.13613 -1.99066 -1.43120 0.14487 1.61803 1.94188 0.88638 -0.79873 -1.91649 -1.67294 -0.24107 1.36203 1.99766 1.21433 -0.43157 -1.77091 -1.85235 -0.61803 1.05528 1.97901 1.49702 -0.04833 -1.55935 -1.96274 -0.97197 0.70921 1.88662 1.72394 0.33671 -1.28968 0.00000 ... ... ..... ....... ......... ........... ............. E10u 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 0.00000 -2.00000 -1.77091 -0.24107 1.49702 1.94188 0.70921 -1.13613 -2.00000 -1.13613 0.70921 1.94188 1.49702 -0.24107 -1.77091 -1.77091 -0.24107 1.49702 1.94188 0.70921 -1.13613 -2.00000 -1.13613 0.70921 1.94188 1.49702 -0.24107 -1.77091 -1.77091 -0.24107 1.49702 1.94188 0.70921 -1.13613 0.00000 ... ... ..... ....... ......... ........... ............. E11u 2.00000 0.97197 -1.05528 -1.99766 -0.88638 1.13613 1.99066 0.79873 -1.21433 -1.97901 -0.70921 1.28968 1.96274 0.61803 -1.36203 -1.94188 -0.52541 1.43120 1.91649 0.43157 -1.49702 -1.88662 -0.33671 1.55935 1.85235 0.24107 -1.61803 -1.81375 -0.14487 1.67294 1.77091 0.04833 -1.72394 0.00000 -2.00000 1.72394 -0.04833 -1.77091 -1.67294 0.14487 1.81375 1.61803 -0.24107 -1.85235 -1.55935 0.33671 1.88662 1.49702 -0.43157 -1.91649 -1.43120 0.52541 1.94188 1.36203 -0.61803 -1.96274 -1.28968 0.70921 1.97901 1.21433 -0.79873 -1.99066 -1.13613 0.88638 1.99766 1.05528 -0.97197 0.00000 ... ... ..... ....... ......... ........... ............. E12u 2.00000 0.79873 -1.36203 -1.88662 -0.14487 1.77091 1.55935 -0.52541 -1.97901 -1.05528 1.13613 1.96274 0.43157 -1.61803 -1.72394 0.24107 1.91649 1.28968 -0.88638 -1.99766 -0.70921 1.43120 1.85235 0.04833 -1.81375 -1.49702 0.61803 1.99066 0.97197 -1.21433 -1.94188 -0.33671 1.67294 0.00000 -2.00000 -1.67294 0.33671 1.94188 1.21433 -0.97197 -1.99066 -0.61803 1.49702 1.81375 -0.04833 -1.85235 -1.43120 0.70921 1.99766 0.88638 -1.28968 -1.91649 -0.24107 1.72394 1.61803 -0.43157 -1.96274 -1.13613 1.05528 1.97901 0.52541 -1.55935 -1.77091 0.14487 1.88662 1.36203 -0.79873 0.00000 ... ... ..... ....... ......... ........... ............. E13u 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 0.00000 -2.00000 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 0.00000 ... ... ..... ....... ......... ........... ............. E14u 2.00000 0.43157 -1.81375 -1.21433 1.28968 1.77091 -0.52541 -1.99766 -0.33671 1.85235 1.13613 -1.36203 -1.72394 0.61803 1.99066 0.24107 -1.88662 -1.05528 1.43120 1.67294 -0.70921 -1.97901 -0.14487 1.91649 0.97197 -1.49702 -1.61803 0.79873 1.96274 0.04833 -1.94188 -0.88638 1.55935 0.00000 -2.00000 -1.55935 0.88638 1.94188 -0.04833 -1.96274 -0.79873 1.61803 1.49702 -0.97197 -1.91649 0.14487 1.97901 0.70921 -1.67294 -1.43120 1.05528 1.88662 -0.24107 -1.99066 -0.61803 1.72394 1.36203 -1.13613 -1.85235 0.33671 1.99766 0.52541 -1.77091 -1.28968 1.21433 1.81375 -0.43157 0.00000 ... ... ..... ....... ......... ........... ............. E15u 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 0.00000 -2.00000 1.49702 -1.13613 -1.77091 0.70921 1.94188 -0.24107 -2.00000 -0.24107 1.94188 0.70921 -1.77091 -1.13613 1.49702 1.49702 -1.13613 -1.77091 0.70921 1.94188 -0.24107 -2.00000 -0.24107 1.94188 0.70921 -1.77091 -1.13613 1.49702 1.49702 -1.13613 -1.77091 0.70921 1.94188 -0.24107 0.00000 ... ... ..... ....... ......... ........... ............. E16u 2.00000 0.04833 -1.99766 -0.14487 1.99066 0.24107 -1.97901 -0.33671 1.96274 0.43157 -1.94188 -0.52541 1.91649 0.61803 -1.88662 -0.70921 1.85235 0.79873 -1.81375 -0.88638 1.77091 0.97197 -1.72394 -1.05528 1.67294 1.13613 -1.61803 -1.21433 1.55935 1.28968 -1.49702 -1.36203 1.43120 0.00000 -2.00000 -1.43120 1.36203 1.49702 -1.28968 -1.55935 1.21433 1.61803 -1.13613 -1.67294 1.05528 1.72394 -0.97197 -1.77091 0.88638 1.81375 -0.79873 -1.85235 0.70921 1.88662 -0.61803 -1.91649 0.52541 1.94188 -0.43157 -1.96274 0.33671 1.97901 -0.24107 -1.99066 0.14487 1.99766 -0.04833 0.00000 ... ... ..... ....... ......... ........... ............. E17u 2.00000 -0.14487 -1.97901 0.43157 1.91649 -0.70921 -1.81375 0.97197 1.67294 -1.21433 -1.49702 1.43120 1.28968 -1.61803 -1.05528 1.77091 0.79873 -1.88662 -0.52541 1.96274 0.24107 -1.99766 0.04833 1.99066 -0.33671 -1.94188 0.61803 1.85235 -0.88638 -1.72394 1.13613 1.55935 -1.36203 0.00000 -2.00000 1.36203 -1.55935 -1.13613 1.72394 0.88638 -1.85235 -0.61803 1.94188 0.33671 -1.99066 -0.04833 1.99766 -0.24107 -1.96274 0.52541 1.88662 -0.79873 -1.77091 1.05528 1.61803 -1.28968 -1.43120 1.49702 1.21433 -1.67294 -0.97197 1.81375 0.70921 -1.91649 -0.43157 1.97901 0.14487 0.00000 ... ... ..... ....... ......... ........... ............. E18u 2.00000 -0.33671 -1.88662 0.97197 1.55935 -1.49702 -1.05528 1.85235 0.43157 -1.99766 0.24107 1.91649 -0.88638 -1.61803 1.43120 1.13613 -1.81375 -0.52541 1.99066 -0.14487 -1.94188 0.79873 1.67294 -1.36203 -1.21433 1.77091 0.61803 -1.97901 0.04833 1.96274 -0.70921 -1.72394 1.28968 0.00000 -2.00000 -1.28968 1.72394 0.70921 -1.96274 -0.04833 1.97901 -0.61803 -1.77091 1.21433 1.36203 -1.67294 -0.79873 1.94188 0.14487 -1.99066 0.52541 1.81375 -1.13613 -1.43120 1.61803 0.88638 -1.91649 -0.24107 1.99766 -0.43157 -1.85235 1.05528 1.49702 -1.55935 -0.97197 1.88662 0.33671 0.00000 ... ... ..... ....... ......... ........... ............. E19u 2.00000 -0.52541 -1.72394 1.43120 0.97197 -1.94188 0.04833 1.91649 -1.05528 -1.36203 1.77091 0.43157 -1.99766 0.61803 1.67294 -1.49702 -0.88638 1.96274 -0.14487 -1.88662 1.13613 1.28968 -1.81375 -0.33671 1.99066 -0.70921 -1.61803 1.55935 0.79873 -1.97901 0.24107 1.85235 -1.21433 0.00000 -2.00000 1.21433 -1.85235 -0.24107 1.97901 -0.79873 -1.55935 1.61803 0.70921 -1.99066 0.33671 1.81375 -1.28968 -1.13613 1.88662 0.14487 -1.96274 0.88638 1.49702 -1.67294 -0.61803 1.99766 -0.43157 -1.77091 1.36203 1.05528 -1.91649 -0.04833 1.94188 -0.97197 -1.43120 1.72394 0.52541 0.00000 ... ... ..... ....... ......... ........... ............. E20u 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 0.00000 -2.00000 -1.13613 1.94188 -0.24107 -1.77091 1.49702 0.70921 -2.00000 0.70921 1.49702 -1.77091 -0.24107 1.94188 -1.13613 -1.13613 1.94188 -0.24107 -1.77091 1.49702 0.70921 -2.00000 0.70921 1.49702 -1.77091 -0.24107 1.94188 -1.13613 -1.13613 1.94188 -0.24107 -1.77091 1.49702 0.70921 0.00000 ... ... ..... ....... ......... ........... ............. E21u 2.00000 -0.88638 -1.21433 1.96274 -0.52541 -1.49702 1.85235 -0.14487 -1.72394 1.67294 0.24107 -1.88662 1.43120 0.61803 -1.97901 1.13613 0.97197 -1.99766 0.79873 1.28968 -1.94188 0.43157 1.55935 -1.81375 0.04833 1.77091 -1.61803 -0.33671 1.91649 -1.36203 -0.70921 1.99066 -1.05528 0.00000 -2.00000 1.05528 -1.99066 0.70921 1.36203 -1.91649 0.33671 1.61803 -1.77091 -0.04833 1.81375 -1.55935 -0.43157 1.94188 -1.28968 -0.79873 1.99766 -0.97197 -1.13613 1.97901 -0.61803 -1.43120 1.88662 -0.24107 -1.67294 1.72394 0.14487 -1.85235 1.49702 0.52541 -1.96274 1.21433 0.88638 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 -1.05528 -0.88638 1.99066 -1.21433 -0.70921 1.96274 -1.36203 -0.52541 1.91649 -1.49702 -0.33671 1.85235 -1.61803 -0.14487 1.77091 -1.72394 0.04833 1.67294 -1.81375 0.24107 1.55935 -1.88662 0.43157 1.43120 -1.94188 0.61803 1.28968 -1.97901 0.79873 1.13613 -1.99766 0.97197 0.00000 -2.00000 -0.97197 1.99766 -1.13613 -0.79873 1.97901 -1.28968 -0.61803 1.94188 -1.43120 -0.43157 1.88662 -1.55935 -0.24107 1.81375 -1.67294 -0.04833 1.72394 -1.77091 0.14487 1.61803 -1.85235 0.33671 1.49702 -1.91649 0.52541 1.36203 -1.96274 0.70921 1.21433 -1.99066 0.88638 1.05528 0.00000 ... ... ..... ....... ......... ........... ............. E23u 2.00000 -1.21433 -0.52541 1.85235 -1.72394 0.24107 1.43120 -1.97901 0.97197 0.79873 -1.94188 1.55935 0.04833 -1.61803 1.91649 -0.70921 -1.05528 1.99066 -1.36203 -0.33671 1.77091 -1.81375 0.43157 1.28968 -1.99766 1.13613 0.61803 -1.88662 1.67294 -0.14487 -1.49702 1.96274 -0.88638 0.00000 -2.00000 0.88638 -1.96274 1.49702 0.14487 -1.67294 1.88662 -0.61803 -1.13613 1.99766 -1.28968 -0.43157 1.81375 -1.77091 0.33671 1.36203 -1.99066 1.05528 0.70921 -1.91649 1.61803 -0.04833 -1.55935 1.94188 -0.79873 -0.97197 1.97901 -1.43120 -0.24107 1.72394 -1.85235 0.52541 1.21433 0.00000 ... ... ..... ....... ......... ........... ............. E24u 2.00000 -1.36203 -0.14487 1.55935 -1.97901 1.13613 0.43157 -1.72394 1.91649 -0.88638 -0.70921 1.85235 -1.81375 0.61803 0.97197 -1.94188 1.67294 -0.33671 -1.21433 1.99066 -1.49702 0.04833 1.43120 -1.99766 1.28968 0.24107 -1.61803 1.96274 -1.05528 -0.52541 1.77091 -1.88662 0.79873 0.00000 -2.00000 -0.79873 1.88662 -1.77091 0.52541 1.05528 -1.96274 1.61803 -0.24107 -1.28968 1.99766 -1.43120 -0.04833 1.49702 -1.99066 1.21433 0.33671 -1.67294 1.94188 -0.97197 -0.61803 1.81375 -1.85235 0.70921 0.88638 -1.91649 1.72394 -0.43157 -1.13613 1.97901 -1.55935 0.14487 1.36203 0.00000 ... ... ..... ....... ......... ........... ............. E25u 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 0.00000 -2.00000 0.70921 -1.77091 1.94188 -1.13613 -0.24107 1.49702 -2.00000 1.49702 -0.24107 -1.13613 1.94188 -1.77091 0.70921 0.70921 -1.77091 1.94188 -1.13613 -0.24107 1.49702 -2.00000 1.49702 -0.24107 -1.13613 1.94188 -1.77091 0.70921 0.70921 -1.77091 1.94188 -1.13613 -0.24107 1.49702 0.00000 ... ... ..... ....... ......... ........... ............. E26u 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.00000 -2.00000 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 0.00000 ... ... ..... ....... ......... ........... ............. E27u 2.00000 -1.72394 0.97197 0.04833 -1.05528 1.77091 -1.99766 1.67294 -0.88638 -0.14487 1.13613 -1.81375 1.99066 -1.61803 0.79873 0.24107 -1.21433 1.85235 -1.97901 1.55935 -0.70921 -0.33671 1.28968 -1.88662 1.96274 -1.49702 0.61803 0.43157 -1.36203 1.91649 -1.94188 1.43120 -0.52541 0.00000 -2.00000 0.52541 -1.43120 1.94188 -1.91649 1.36203 -0.43157 -0.61803 1.49702 -1.96274 1.88662 -1.28968 0.33671 0.70921 -1.55935 1.97901 -1.85235 1.21433 -0.24107 -0.79873 1.61803 -1.99066 1.81375 -1.13613 0.14487 0.88638 -1.67294 1.99766 -1.77091 1.05528 -0.04833 -0.97197 1.72394 0.00000 ... ... ..... ....... ......... ........... ............. E28u 2.00000 -1.81375 1.28968 -0.52541 -0.33671 1.13613 -1.72394 1.99066 -1.88662 1.43120 -0.70921 -0.14487 0.97197 -1.61803 1.96274 -1.94188 1.55935 -0.88638 0.04833 0.79873 -1.49702 1.91649 -1.97901 1.67294 -1.05528 0.24107 0.61803 -1.36203 1.85235 -1.99766 1.77091 -1.21433 0.43157 0.00000 -2.00000 -0.43157 1.21433 -1.77091 1.99766 -1.85235 1.36203 -0.61803 -0.24107 1.05528 -1.67294 1.97901 -1.91649 1.49702 -0.79873 -0.04833 0.88638 -1.55935 1.94188 -1.96274 1.61803 -0.97197 0.14487 0.70921 -1.43120 1.88662 -1.99066 1.72394 -1.13613 0.33671 0.52541 -1.28968 1.81375 0.00000 ... ... ..... ....... ......... ........... ............. E29u 2.00000 -1.88662 1.55935 -1.05528 0.43157 0.24107 -0.88638 1.43120 -1.81375 1.99066 -1.94188 1.67294 -1.21433 0.61803 0.04833 -0.70921 1.28968 -1.72394 1.96274 -1.97901 1.77091 -1.36203 0.79873 -0.14487 -0.52541 1.13613 -1.61803 1.91649 -1.99766 1.85235 -1.49702 0.97197 -0.33671 0.00000 -2.00000 0.33671 -0.97197 1.49702 -1.85235 1.99766 -1.91649 1.61803 -1.13613 0.52541 0.14487 -0.79873 1.36203 -1.77091 1.97901 -1.96274 1.72394 -1.28968 0.70921 -0.04833 -0.61803 1.21433 -1.67294 1.94188 -1.99066 1.81375 -1.43120 0.88638 -0.24107 -0.43157 1.05528 -1.55935 1.88662 0.00000 ... ... ..... ....... ......... ........... ............. E30u 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.00000 -2.00000 -0.24107 0.70921 -1.13613 1.49702 -1.77091 1.94188 -2.00000 1.94188 -1.77091 1.49702 -1.13613 0.70921 -0.24107 -0.24107 0.70921 -1.13613 1.49702 -1.77091 1.94188 -2.00000 1.94188 -1.77091 1.49702 -1.13613 0.70921 -0.24107 -0.24107 0.70921 -1.13613 1.49702 -1.77091 1.94188 0.00000 ... ... ..... ....... ......... ........... ............. E31u 2.00000 -1.97901 1.91649 -1.81375 1.67294 -1.49702 1.28968 -1.05528 0.79873 -0.52541 0.24107 0.04833 -0.33671 0.61803 -0.88638 1.13613 -1.36203 1.55935 -1.72394 1.85235 -1.94188 1.99066 -1.99766 1.96274 -1.88662 1.77091 -1.61803 1.43120 -1.21433 0.97197 -0.70921 0.43157 -0.14487 0.00000 -2.00000 0.14487 -0.43157 0.70921 -0.97197 1.21433 -1.43120 1.61803 -1.77091 1.88662 -1.96274 1.99766 -1.99066 1.94188 -1.85235 1.72394 -1.55935 1.36203 -1.13613 0.88638 -0.61803 0.33671 -0.04833 -0.24107 0.52541 -0.79873 1.05528 -1.28968 1.49702 -1.67294 1.81375 -1.91649 1.97901 0.00000 ... ... ..... ....... ......... ........... ............. E32u 2.00000 -1.99766 1.99066 -1.97901 1.96274 -1.94188 1.91649 -1.88662 1.85235 -1.81375 1.77091 -1.72394 1.67294 -1.61803 1.55935 -1.49702 1.43120 -1.36203 1.28968 -1.21433 1.13613 -1.05528 0.97197 -0.88638 0.79873 -0.70921 0.61803 -0.52541 0.43157 -0.33671 0.24107 -0.14487 0.04833 0.00000 -2.00000 -0.04833 0.14487 -0.24107 0.33671 -0.43157 0.52541 -0.61803 0.70921 -0.79873 0.88638 -0.97197 1.05528 -1.13613 1.21433 -1.28968 1.36203 -1.43120 1.49702 -1.55935 1.61803 -1.67294 1.72394 -1.77091 1.81375 -1.85235 1.88662 -1.91649 1.94188 -1.96274 1.97901 -1.99066 1.99766 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.997664453665 = 2*cos(2*π/130) = 2*cos(π/65) 1.990663269435 = 2*cos(4*π/130) = 2*cos(2*π/65) 1.979012798902 = 2*cos(6*π/130) = 2*cos(3*π/65) 1.962740252279 = 2*cos(8*π/130) = 2*cos(4*π/65) 1.941883634852 = 2*cos(10*π/130) = 2*cos(π/13) 1.916491658218 = 2*cos(12*π/130) = 2*cos(6*π/65) 1.886623626515 = 2*cos(14*π/130) = 2*cos(7*π/65) 1.852349297916 = 2*cos(16*π/130) = 2*cos(8*π/65) 1.813748721701 = 2*cos(18*π/130) = 2*cos(9*π/65) 1.770912051306 = 2*cos(20*π/130) = 2*cos(2*π/13) 1.723939333760 = 2*cos(22*π/130) = 2*cos(11*π/65) 1.672940276020 = 2*cos(24*π/130) = 2*cos(12*π/65) 1.618033988750 = 2*cos(26*π/130) = 2*cos(π/5) = (√5+1)/2 1.559348708126 = 2*cos(28*π/130) = 2*cos(14*π/65) 1.497021496342 = 2*cos(30*π/130) = 2*cos(3*π/13) 1.431197921488 = 2*cos(32*π/130) = 2*cos(16*π/65) 1.362031717574 = 2*cos(34*π/130) = 2*cos(17*π/65) 1.289684425472 = 2*cos(36*π/130) = 2*cos(18*π/65) 1.214325015637 = 2*cos(38*π/130) = 2*cos(19*π/65) 1.136129493462 = 2*cos(40*π/130) = 2*cos(4*π/13) 1.055280488212 = 2*cos(42*π/130) = 2*cos(21*π/65) 0.971966826485 = 2*cos(44*π/130) = 2*cos(22*π/65) 0.886383091198 = 2*cos(46*π/130) = 2*cos(23*π/65) 0.798729167131 = 2*cos(48*π/130) = 2*cos(24*π/65) 0.709209774085 = 2*cos(50*π/130) = 2*cos(5*π/13) 0.618033988750 = 2*cos(52*π/130) = 2*cos(2*π/5) = (√5−1)/2 0.525414756397 = 2*cos(54*π/130) = 2*cos(27*π/65) 0.431568393536 = 2*cos(56*π/130) = 2*cos(28*π/65) 0.336714082694 = 2*cos(58*π/130) = 2*cos(29*π/65) 0.241073360511 = 2*cos(60*π/130) = 2*cos(6*π/13) 0.144869600324 = 2*cos(62*π/130) = 2*cos(31*π/65) 0.048327490472 = 2*cos(64*π/130) = 2*cos(32*π/65) 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 D65d point group is 260, and the order of the principal axis (S130) is 130. The group has 68 irreducible representations. β The D65d point group is isomorphic to D65h, C130v and D130. γ The D65d point group is generated by two symmetry elements, S130 and either a perpendicular C2′ or a vertical σd. Also, the group may be generated from a C2′ plus a σd (some pairs will yield smaller groups, though; choosing a minimum angle is safe). The canonical choice, however, is to use redundant generators: C65, C2′ and i. δ The group contains one set of C2′ symmetry axes perpendicular to the principal (z) axis. The x axis (but not the y axis) is a member of that set. Reversely, the single set of symmetry planes denoted σd contains the yz plane but not the xz plane. ε The lowest nonvanishing multipole moment in D65d 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 polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three. While some characters of this group can be expressed using real integers and square roots alone, others need complex numbers and third roots.
D63d | ||
D64d | ||
C65 C65v C65h D65 D65h | D65d | |
D66d | ||
D67d |
This Character Table for the D65d point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.